diff --git "a/data/dm_maths/full_data/2215_11255.jsonl" "b/data/dm_maths/full_data/2215_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2215_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: In base 7, what is -1344250 - 2?\nAnswer: -1344252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 412631, 1650535, 3713709, 6602153?\n\"Answer: 412635*v**2 - v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 665.815187 rounded to the nearest ten?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 + -14. What is the highest common factor of k and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009902909 to 6 dps.\nAnswer: -0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 19. Let x = 0.38 + 0.02. Let w = 117\/4 + -29. What is the nearest to w in x, n, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b**3 - 2 - 3*b**3 - 7*b - 13*b + 4*b**2 + 16*b. What is the remainder when 187 is divided by t(2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvvvvbvbbb. What is prob of picking 1 b and 1 v?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 301 + -4?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2095, -4188, -6283, -8380?\nAnswer: -10479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1217 - -21925\/18. Let b = 21259\/6 - 3554. Find the common denominator of w and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/7 (b) 7 (c) -1\/4 (d) 106\/7 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1904 a factor of 46206043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 204613 - -14333?\nAnswer: 222246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 0*c - 10 = c, -r = c + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 24962739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 36799040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 4*f**5\/5 - 7*f**4 - 328*f**3\/3 - 424*f**2 - 672*f + 1928. Determine s so that t(s) = 0.\nAnswer: -3, -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, s: 1, w: 2, l: 1, c: 2}. Give prob of picking 1 l and 1 w.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(54)\/(sqrt(48) + sqrt(3) - sqrt(3) - sqrt(3)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/21))\/(l*l**(-4\/23)\/l))\/((l*l\/l**(-13)*l*l)\/(l**(-1\/35)\/l)) assuming l is positive.\nAnswer: l**(-40934\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + h + 1)*(2 - 6 + 2) + 3*h + 5*h + 0*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-102)\/(-18) - 4\/(-12). Let k = r + 0. Suppose -k*a + 244 = 70. Calculate the remainder when a is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -201 by 986.\nAnswer: -201\/986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 4. Suppose 367 = -190*k + 428 - 1201. Do k and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 1700*a**3\/3 - 431*a**2\/2 + 32. Find the second derivative of d(s) wrt s.\nAnswer: 3400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 + 2*k - 2 + k**2 + 0. What is the common denominator of m(8) and (89\/4)\/((-2)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -10 - (-42 + 42).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 219061 and 4557259.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 5*k**2 - 6*k - 4. Let v = -15 + 11. Let o be q(v). Let i(p) = -p - 3. Let d be i(-3). Put d, -5, o in ascending order.\nAnswer: -5, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (9 - -1 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72350 + 74917 = 2714*o + 14281 for o.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 151 - 129. What is the remainder when s is divided by 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37619 at least -36012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 535 + -3747\/7. What is the biggest value in 3\/5, 4, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 7:45 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from hhffchcc?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 10. Let w be x(-8). Let u = 0 + w. Suppose 2*a = -u*a + 32. Solve 2*i + 2 + a = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19143782.\nAnswer: 2, 7, 113, 12101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 166 + -86. Does 24 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2a + -2?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -7670*y + 3838*y + 3835*y. Let h(c) = 822*c. What is h(q(b))?\nAnswer: 2466*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15132\/257 or 2\/3?\nAnswer: 15132\/257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i + i**2 - 1\/3*i**3 + 8. Let t(y) = y**3 + y**2 - 4*y - 2. Let d be t(2). Calculate k(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q**2 - 7*q - 1. Calculate the remainder when x(-2) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3831522?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 799*t + 125. Let r(s) = 200*s + 31. Let a(h) = 9*r(h) - 2*w(h). Let c be a(4). Suppose 5*j - 3702 = -c. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2164 = -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**6\/60 - 5*x**4\/24 + x**3\/6 + x**2. Let o = -39144 + 39137. Let w(k) = -2*k**3 - 4*k + 1. Give o*w(p) + 6*r(p).\nAnswer: 2*p**3 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**(-4\/13)\/(k**(-1\/2))**(4\/11) assuming k is positive.\nAnswer: k**(70\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + 61e?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4862759196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.58157152 rounded to 3 decimal places?\nAnswer: 15.582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 515 + -484. Suppose t*n - 20*n - 22 = 0. Put n, 5, -40 in ascending order.\nAnswer: -40, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 - 47. Suppose -l*j + 3*w + 2*w = 21, -j - 5*w = -27. Let g(t) = 3*t**j + 58*t - 4*t**2 - 53*t - 5. Determine g(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.224 - 0.124. Which is the closest to l? (a) -2 (b) 0.01 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -2\/7 (c) -1\/6 (d) -42 (e) -1285\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibbibb. Give prob of picking 2 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 44080, -4, 18, 12 in descending order.\nAnswer: 44080, 18, 12, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 11:13 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 28. Calculate n(-28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*d - 122*d = -20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 505 and 28770?\nAnswer: 2905770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.019? (a) 1\/5 (b) 406 (c) 4 (d) 0.02 (e) 0.03 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3594, -13469, -29800, -52581, -81806?\n\"Answer: h**3 - 3234*h**2 - 180*h - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7426661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 145 and 11820.\nAnswer: 342780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(1040\/10)*(-16)\/(-2)*(-21)\/(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k**(-2\/15)\/k*k**5*k*k**(1\/2)*k**(1\/3)*k*k**(-3)\/(k\/(k*k*k**(-4\/5)\/k))*k**(-1\/2)\/((k*k**(2\/11))\/k) assuming k is positive.\nAnswer: k**(232\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 7. What is the nearest to -1 in 4, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4 - 59 = 0. Suppose -3*x + 0*x - o = -v, 5*x - 66 = -2*v. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49 + 2*b**3 - b + 45*b**2 - 42*b**2 + b**4 - 53 to the form r*b**2 + k*b**3 + s + p*b + d*b**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/7))**(-14\/11)*(q**7)**(-50))**(-3\/17) assuming q is positive.\nAnswer: q**(11562\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**7\/w))**(-1\/10) assuming w is positive.\nAnswer: w**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 228*q**2 - 104*q**2 + 4 - 92*q - 122*q**2 as w*q + r*q**2 + n and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g - 3. Let n be x(4). Let q be 0*((-5)\/2)\/n. Let t(r) = 3*r + 56. Let p be t(-20). Put -1, p, q in decreasing order.\nAnswer: q, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*i + 166*i + 4575 = 0 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3)*-3 + -2. Let j be ((-3)\/(-45))\/(b\/(-10)). Let o = 4395.4 - 4396. What is the nearest to -0.1 in o, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 27*o**3 - 3*o**2 - 4*o - 1. Let z be x(-3). Calculate the common denominator of -85\/18 and (z\/(-45) - 3)\/((-4)\/3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -6. Let k be -1 + (-144)\/(-168) + -6 + 280\/49. Which is the closest to 1? (a) 2\/3 (b) w (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78050 is divided by 308.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2565)\/(-437) - (-71)\/((-1420)\/120)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -6. Let b = 3 - c. Let -b*t**3 + 10*t - 4*t**2 - 1 + 0*t**2 + 5 = 0. What is t?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1026039 divided by 6\nAnswer: 342013\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - -1*sqrt(5)) + -2 - ((-2 + sqrt(5))**2 + -5).\nAnswer: -6 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8542\/61 + 140. Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1344 - 1184 = 16*j. Suppose 2*c + 0*c - 4 = 0. Put 3, j, c in descending order.\nAnswer: j, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 165 - 92 - 81 + 24*j**2 to the form h*j + l*j**2 + u and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8131.2+-2.6\nAnswer: 8128.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 4*y + 12*y + 884 - 15*y as m*y + g and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - n - 1. Let t be r(2). Suppose t*p + 25 = -0*p. Let v = p + 6. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/5)\/(46\/805). What is the highest common factor of l and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -16*r**3 - 66*r**2 + 150*r - 118. Let h(o) = 5*o**3 + 21*o**2 - 50*o + 39. Let g(q) = -10*h(q) - 3*j(q). Factor g(z).\nAnswer: -2*(z - 2)*(z - 1)*(z + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 37. Suppose -3*x = 5*r - 13, 0 = -15*r + 16*r - x - 9. Suppose -u = u + 3*o - 3, u + r*o - 5 = 0. Calculate p(u).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (191\/(-5))\/((-7)\/35) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**4\/2 - g**3 + 2*g**2 - 2*g + 1. Let j(l) = l**2 - l + 1. Let k be (-288)\/128 - (-1)\/4. Calculate k*j(u) - v(u).\nAnswer: 2*u**3 + u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**3 + 33*u**2 + 626*u + 12093. Give s(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 77 = -4*s, -5*s + 110 = -z + 5*z. Let l(i) = -130*i + 1009. Let o be l(7). Calculate the highest common factor of o and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 13 = 103. Let t = 20 + j. Suppose -t*h + 3*y + 123 = 0, 4*h + y = 6*y + 245. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6658529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 3:05 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 c when three letters picked without replacement from sssgsocu.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k - 33 + 182 - 1 + 478*k**2 - 32 wrt k?\nAnswer: 956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6139*h - 33. Let t be f(7). Let x be (53 - 8)*(t\/3 + 2). Round x to the nearest 10000.\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 m when three letters picked without replacement from sssmsssmsssemssss?\nAnswer: 117\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90539 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/((-1062)\/944)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 38*h - 33*h = -93, 26*s - 3*h = 103 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 9:21 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-4*(-6*sqrt(126)*4)\/sqrt(2) + 2)**2.\nAnswer: 5760*sqrt(7) + 14515204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 129 = -0*a. Let f = a + 132. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 2*t**2 - 3*t - 4. Let o = 6 - -8. Let j be o\/(-6) - (-2)\/6. Let u be f(j). What is the highest common divisor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3318373*-0.5\nAnswer: -1659186.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -222.602169 - 72.399561. Let i = 291 - -4. Let w = h + i. Round w to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 1)*(0 + -26). Suppose 152*b + 3276 = 134*b. Let j be 4\/c + 6888\/b. Are j and -37 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79264340.\nAnswer: 2, 5, 461, 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 4287*s**2 - 9 - 4309*s**2 + 29*s - 7*s. Let b(c) = -c**3 + c + 21. Let t be b(0). What is the remainder when 43 is divided by l(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.020754 to zero dps.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 193 + -173. What is the remainder when w is divided by 4\/(8\/22) - 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70 - -11. Let o = x - -58. Let n = 4.1 - 4. Is n less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -4 + -11 - (64 - 44).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1662, 5736, 12526, 22032?\n\"Answer: 1358*i**2 + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3415 + 3a?\nAnswer: 3452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1499 is divided by 282?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -9 (b) -18336 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 4 + 6 - y - y**2. Let l be p(0). Suppose c = l*b + 17 - 3, 4*c + 4*b = 92. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -544860000 to the nearest one million.\nAnswer: -545000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.6 - 0.6. What is the closest to -1 in -0.5, h, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i**4 - 5170*i**3*s**2 + 4*s**2 - 9*s + 20 wrt i?\nAnswer: -8*i**3 - 15510*i**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8451 - -8466. Let s = -7 - -27. What is the greatest common divisor of s and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 79 = -76. Let t = -2 + 2. Suppose 5*w + 2*p + 10 = 111, t = -w - 4*p + a. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -8129057.2.\nAnswer: -8129056.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10461 = -306*m - 11*m for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5 = -3*d, -m + 5*m - 8 = -4*d. Suppose -3*n - d*r + 8*r + 9310 = 0, -9296 = -3*n - 2*r. What is n rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24050 rounded to the nearest 1000?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*o - 13 = 2*o, -o + 1 = p. Suppose 0 = -p*s - 0 - 6. Let b(y) = y**2 + 3*y. Let j be b(s). Solve j = 2*t - t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 11:03 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 25569*s + 52799986. Determine o(-2065).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 824\/125121?\nAnswer: 824\/125121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-27) - 10\/75.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) + -1 + (1*(sqrt(99) - sqrt(11)))**2.\nAnswer: 9*sqrt(11) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 472345367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 - -26. Let t = -15 - z. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*i + 60*i - 81. Let j = 1 + i. Suppose -3*a + 2 = -5*a - h, 3*h + j = -2*a. Solve t - a - 4 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upqp when four letters picked without replacement from pqpuqu.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 223645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/4969296 and 83\/108.\nAnswer: 4969296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4\/5 - 24*m**3\/5 + 3198*m**2\/5 + 644*m = 0. Calculate m.\nAnswer: -46, -1, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 865 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/105)\/((-12)\/180).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 48*z - 287. Let f be v(6). Put -4, f, 6, 5, 9 in decreasing order.\nAnswer: 9, 6, 5, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = u - 7, -43*u + 3*g = -42*u + 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 - -1a0?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116767 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 297882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 divided by 1.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1458*a**3*h*o**2 + 23621*a**3*h - 8*a*h + 16*o**3 wrt o?\nAnswer: -2916*a**3*h*o + 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -125, -261, -405, -557, -717, -885, -1061?\n\"Answer: -4*g**2 - 124*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 2299*j + 2289. Give m(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*i + 38 = 0, -3*j - 11 + 64 = 2*i. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.3, 86, -0.4, 4?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -126*i + 172*i - 170*i - 81*i to the form h + b*i and give b.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - (6 + 0 + -2). Suppose -f = -2*f - 3. Let b = f - -7. Solve -2*v + 4*v = -10, -3*w + v - b = s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 27 = -3*t, 12 = c - t + 3*t. Let o = -119 - 274. Let b = o - -537. Calculate the greatest common divisor of b and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*u**(-2\/5))\/(u\/(u\/((u**0\/u)\/u)))**(20\/13) assuming u is positive.\nAnswer: u**(239\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 9 + (-18 - (0 - -1)) + -58?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-4)\/(t\/t**(-3\/2)*t)*t*t**(2\/3)*t\/((t\/(t\/(t\/t**16*t)*t))\/t) assuming t is positive.\nAnswer: t**(67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 118017?\nAnswer: 118014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 16*v + 37. Let i be f(-15). What is the highest common divisor of 110 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 - -2 - (-2305 - -2227).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 122 in 1, -2\/11, 4\/85, 1\/14, -1.61?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 1 - (-21)\/(-5). Determine k, given that 0*k + 0 + 0*k**2 + 8\/5*k**4 - 4\/5*k**5 - u*k**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1.04. Let b = t + -0.0416. What is b rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by -27.\nAnswer: -25\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 26*t + 4. Determine v(-33).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -26733 divided by -469?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 4*n**2 - 5*n + 1. Let h be q(5). Let k(t) = -1 - h + 2*t**2 - 1 + t + 4. What is k(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + 1 + sqrt(170)\/sqrt(10)) + sqrt(1377)*5 + 4 + 5)*5.\nAnswer: 65 + 245*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -93*(1 + -6 + (-1240)\/30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 1 - 2)*(-s - 3*s + 5*s) + s - 2*s + 3*s)*(0 - 5 + 0 + (2 - 1 + 1)*(4 - 6 + 1) + 2 + 6 - 5) as x + i*s and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 102889.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2\/11 + 2428*d\/11 - 736898\/11 = 0.\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 522.1 times -890?\nAnswer: -464669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 + 9*d + 11. Let r be m(-8). Suppose -r - 38 = -7*u. Suppose u = 15*f - 75. What is the greatest common factor of 24 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 18, c: 2}. What is prob of sequence ddd?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (-17 - (2 + -1 - 24))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*n - 2*t - 20, -4*n - 5*t + 52 = 0. Let g = 1 + 1. Differentiate -g*c - 7 + n + 4 wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (-40)\/1020*-34*1\/(1\/(-6)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 540568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 32*d + 485. Calculate the remainder when 383 is divided by s(-43).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14023, 52775, 117361, 207781?\nAnswer: 324035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(325)*2 + -4*(sqrt(13) + 3 + sqrt(13))))**2*-1 + -5)*4.\nAnswer: -7076 + 1728*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.961 * 1\nAnswer: 0.961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130 + 3*q - 130 to g + k*q and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 6*d + 0*d)*(18*d + 7*d**2 - 2*d**2 - 3 - 12*d) + (-4*d + 3*d + 2*d)*(-2*d**2 + 4*d**2 + 0*d**2).\nAnswer: 22*d**3 + 24*d**2 - 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 165\/2 + -85. Let s = -5 + 10. Let r = s + -1. Put 0.2, r, k in ascending order.\nAnswer: k, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17182.99431 to the nearest one hundred.\nAnswer: -17200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 5:12 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9*p - 10. Let q be x(-4). What is the highest common divisor of q and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 836308\/415 - (-1)\/(-5).\nAnswer: 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 125, 2543, 1 in ascending order.\nAnswer: 1, 125, 2543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(6*sqrt(147)).\nAnswer: sqrt(17)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 5. Let x(l) = 6*l + 14. Let q(n) = 5*n + 14. Let j(a) = -4*q(a) + 3*x(a). Calculate 4*j(m) - 11*u(m).\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiziiqiiqiziiiziziz. What is prob of picking 2 z and 2 i?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*i + m, 4*m - 2*m = 5*i - 90. What is the highest common divisor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145406581?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -7*t**3 + 16 + 10*t**2 - 1\/4*t**4 + 21*t. What are the prime factors of h(-22)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -5. What is the nearest to 0 in 3\/5, p, -4\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9066 is divided by 1100?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*r - 417 = 0, 2*t - 473 - 367 = 4*r. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 12*n - 115. List the prime factors of a(31).\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c**4 + 4226*c**3 + 48347*c wrt c.\nAnswer: -48*c**2 + 25356*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3950 + -3934. Solve -k*a + 4*a = -48 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**2 + 1. Let k(w) = 1760*w**2 + 9056. Let r(u) = -k(u) + 6*x(u). Differentiate r(q) wrt q.\nAnswer: -3556*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p**2 - 71*p - 350. Determine y(-14).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/((-1008)\/27)*(-8)\/(-12))\/((-6)\/(-102))?\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 9:19 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 28. Suppose g - 3*g - 6 = 0. Calculate the remainder when ((-1)\/g)\/(1\/93) is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*g = 2 - 10, 10 = s - 5*g. Suppose 4*t = 2*i - 6, 4*i = -s*t + 2*t + 12. Is t bigger than 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73561 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -29. Suppose 2*w - 11 = o, -4*o - 24 = -m*w + 5. Solve w*y + 1 = 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/104 + 33979\/(-271128). Which is greater: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-71)\/(-6)*(-2)\/(-1). Let x(m) = -24*m**2 - m - 1. Let t be x(-1). Let q = t + z. Which is the biggest value? (a) -5 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -195 + 199. Solve 3*b - 7*b = o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -902 - -1280. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -233 + 233. Suppose z + 17 = 4*n, n + 5*z = -n + 3. Suppose 3*j + 11 = 4*j - n*l, 5*j + 5*l - 180 = i. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2284 is divided by 388.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 955082, 1910150, 2865220, 3820292, 4775366, 5730442, 6685520?\nAnswer: 7640600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2ba5 - 1?\nAnswer: 2ba4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**5\/60 + 18*g**2. Give q(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -302523*b**3*u**3 + 16*b**2*u**3 - 2709*u**3 wrt b?\nAnswer: -1815138*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -78*s + 976. Is 17 a factor of i(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 5*h + h)*(0*h**2 + 0*h**2 + 2*h**2) + (7*h**2 - 162*h + 162*h)*(8*h + h + 12*h) as k*h**2 + p*h + c*h**3 + d and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264451531*z**3 + 264451454*z**3 - 528902987*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1 + (3 + 0 - 1)*(0 - 1 + 2))*((12 - 3 + 9)*(-5*h + h + 2*h) - 4*h + 4*h - h).\nAnswer: -148*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-7*((-80)\/(-35))\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2 - 9*o**2 + 6*o + 7*o**2 + 7. What is the units digit of n(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177034 is divided by 344.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7117793*x**2 - 2652371*x.\nAnswer: -14235586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 114\/8 - (-57)\/76. What is the third derivative of -12*g**3 + g**3 + l*g**2 + g**3 - 3 + 8*g**3 - 2*g**4 wrt g?\nAnswer: -48*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85396*w - 85395*w + 0*w**2 + 170791*w + w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -192154457943 - -0.2\nAnswer: -192154457942.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -370, -6996, -13616, -20230, -26838, -33440, -40036?\n\"Answer: 3*c**2 - 6635*c + 6262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 13 = c, l - 4 = 2*c - l. Suppose 3*q - 14 = 5*s + c, -2*q - 2*s + 10 = 0. Let v = 6183 + -6181. Solve 8*i + 3*b = 3*i - 6, v*b + 4 = -q*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9709909ml?\nAnswer: 0.0009709909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sp when two letters picked without replacement from mdudpsd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - n**2 + n + 4. Let k be a(0). Find the first derivative of 2*l - k - l - 6*l wrt l.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**2 - 4*l**3 + 7*l**3 - l**3 + 3 as f*l**2 + o + g*l + c*l**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 23*q + 230. What is the remainder when v(18) is divided by 74?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(sqrt(243) - sqrt(243)*-2))**2 + ((-2 + sqrt(468))*-3)**2.\nAnswer: -216*sqrt(13) + 3096805\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*w - 26*w = 6. Solve 3*t - 4*f - 8 = 0, t + w*f = -3*t + 19 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 57*s**2 - 390*s - 1396. Determine o(49).\nAnswer: -1298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-55)\/8 + (-1)\/1 and 29\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyiiqwwnnkinikknww. Give prob of picking 1 w, 1 n, and 1 i.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (649\/66)\/((1*12\/72)\/(-1)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7554, 30228, 68018, 120924?\nAnswer: 188946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 46*n - 169 - 1046. Solve -78 - 6 = -n*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103 - -97.7. Let f = -0.3 - l. Which is the third smallest value? (a) -0.5 (b) f (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 549618 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) 3.6 (c) 8 (d) 48 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*1 + (-32949)\/(-54). Let j = b - 609. What is the common denominator of -103\/30 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 103*v**2. Let s(z) = -6*z + 8. What is s(a(w))?\nAnswer: -618*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13343 + 13343 + 4*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 1102 = -15*g. Let f = g - -807. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/10)\/((-1)\/(385\/(-2))). Let z = i + 662. Let v = z + -213. What are the prime factors of v?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3*56\/30)\/(1\/(-5)). Let a = r - -36. Solve -3*y - u = -3*u - a, 5*u + 20 = 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(81) + sqrt(81) + (2*sqrt(81) - sqrt(81))) - (sqrt(81) + -1*-3*sqrt(81)))\/(-1*(sqrt(243)*-2 - (sqrt(243) - 2*sqrt(243)))).\nAnswer: -7*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 + 18*h + 20. Let k be d(-8). Let r(y) be the second derivative of 1\/4*y**3 + 0 - 3*y + 0*y**2 - 1\/16*y**k. Suppose r(m) = 0. What is m?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -255 in ascending order.\nAnswer: -255, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*y + 18, 0*y - 4*y + 16 = -3*o. Let h be o\/((-72)\/(-38)) + 2. Which is the nearest to -1? (a) h (b) 0 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 13*t - 8. Let c be j(12). Solve 0 = -2*v - 8, -c*a - 3*v = -4*v - 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1 - (1 - (9 + 7850 + 1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5559 = -1264. Let r = -832 - k. What is the remainder when 222 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b81b (base 12) to base 4\nAnswer: -10323113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 85 = 4*l - 24, 5*l + 38 = 2*v. Calculate the remainder when 106 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*d - 21*d + 17*d + d - 9*d.\nAnswer: -26*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**3 + 1731*d**2 + 12*d - 69 wrt d?\nAnswer: -6*d + 3462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9780 at least -9776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*v - 1323 = -314*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, c: 8, x: 1, t: 1, q: 2}. What is prob of picking 1 c and 1 q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express p + 4*p + 0*p - 2*p as j + w*p and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 - 40*u**2 - 324*u + 360.\nAnswer: 4*(u - 15)*(u - 1)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 19*v**3\/6 - v**2\/2 - v - 10. Determine b(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 y, and 1 c when three letters picked without replacement from {c: 2, a: 3, i: 1, j: 1, y: 5}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1697 + 1208. Let p = -489 - a. Sort 1\/2, p, -4, 17 in decreasing order.\nAnswer: 17, 1\/2, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 9:51 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 14*i - 8. Let t be (-45)\/15 + ((-114)\/(-27) - i). Let t - 1\/3*f**3 - 1\/9*f**4 + 1\/3*f - 1\/9*f**2 = 0. What is f?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 7:42 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10771109 is divided by 1435.\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 4\/7 (b) -0.067 (c) 442 (d) -1\/2 (e) -148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = y - 2*h, 5*y - 3*h - 52 = -15. Suppose 5*d = -5, 9 = -3*w - w - y*d. Put 4, w, -3 in decreasing order.\nAnswer: 4, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-6)\/108*6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41259 or 41016?\nAnswer: 41016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2179 - 2023. Does 52 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 2*h**2 - 3*h - 3. Let g be s(-2). Does 2 divide 9\/(-12)*(-74 - (g + -5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*(-1*sqrt(170) - sqrt(170)) - (sqrt(170) - (2*sqrt(170) - sqrt(170)))*4))\/(5*(sqrt(1440) + sqrt(1440)*2)*6).\nAnswer: sqrt(17)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 83 = -5*k + 267, 0 = 4*k - 5*j - 244. Calculate the remainder when k is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4344*b**2*q**3 - 2*b*q**3 + 10*b*q + 6*q**3 - 3*q**2 wrt b?\nAnswer: 8688*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 1113200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 3 (b) -16 (c) 0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3465443808 to the nearest integer?\nAnswer: 58868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64 (base 12) to base 6.\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 - j**3 - 20*j**4 + (3*j**2 - 2*j**2 + 7*j**2)*(0*j**2 + 4*j**2 - 3*j**2) + (12 - 24 - 5)*(-4*j**4 + 4*j**4 - 3*j**4).\nAnswer: 39*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**4)\/(j**(-4)\/j)*j**4*(j\/(j\/(j*j**(5\/2))*j))\/j)**39 assuming j is positive.\nAnswer: j**(1209\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a meter in centimeters?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 603 divide 2725773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s - 40*s + 16*s + 14*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115292.\nAnswer: 2, 19, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -904*d**2 + 886*d + 18 = 0?\nAnswer: -9\/452, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52829089?\nAnswer: 52829089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*h = 10, 53*h - 2 = 54*h. What is the remainder when 59 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-2))\/((-5)\/40). Let z be 1 - 4\/(16\/v). Solve -15 = -z*s + 7*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 22 = 11. Suppose 0 = w*m - 10*m. Solve m = -3*n + 1 + 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2571 is divided by 1275?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 = 21*s + 156 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(10)\/sqrt(5) + -3)**2 + 5 + -4.\nAnswer: 12*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1029888914, -1029888912, -1029888910, -1029888908, -1029888906?\nAnswer: -1029888904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**2 - 4743*v - 14256 = 0.\nAnswer: -3, 1584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12723 + 9*o + 12723.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - (-11 + -1)) + (-10 - -11) - -27 - -24?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 83 (b) -3\/8 (c) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -7885711?\nAnswer: -7885710.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**6\/840 + m**5\/105 - 5*m**4\/168 + m**3\/21 + 6*m**2. Factor c(w).\nAnswer: -(w - 2)*(w - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 - p - 2. Let m be r(4). Suppose -l + c = -96, -3*l + c = -6*l + 268. Calculate the highest common divisor of m and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 171312 and 897840?\nAnswer: 74520720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -3733.66 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 53*n**2 + n + 45. Determine c(-53).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -436, -429, -420, -409, -396?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -28478, -28479, -28482, -28487?\n\"Answer: -k**2 + 2*k - 28479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 14*o - 60*o**2 + 59*o**2 + 14*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 493020 to the nearest 1000.\nAnswer: 493000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyg when three letters picked without replacement from tyyttltygygytlglggyl.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4 = -2*f, -f + 0*j = 5*j - 18. List the prime factors of (-2 - 25\/f) + (-8)\/16.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6846\/735 - 2\/(-14)*2)*-5.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t + t**5)*(-20841 - 950 - 8564 - 7317).\nAnswer: -37672*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4048*l**3 - 5814*l**2 - 142930960*l.\nAnswer: -24288*l - 11628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m**3 + 2*m**3 - 5*m**3)*(1 + 3 - 1)*(3 - 2 - 2)*(6 - 6 + 12*m) as u*m + g*m**4 + b + r*m**2 + c*m**3 and give g.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 + 71. Let z(x) be the third derivative of 0 - 1\/20*x**5 + 1\/2*x**3 + 0*x + x**2 + g*x**4. Find l such that z(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22853.52nm to kilometers.\nAnswer: 0.00000002285352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 6:27 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/4111?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 7932 - 15855 + 7937 - 17*n in the form p*n + b and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26802 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 6*x + 8. Let c be (8\/28)\/(2\/14). Suppose -4 = t - 3*t + 5*f, c*t - 10 = 2*f. Let a be z(t). Solve 4*w + a = 3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.729 * 36294\nAnswer: -26458.326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6908 - 6088. Is 4094\/5 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/24*12\/(-64)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16646.34 + -16648. What is the second biggest value in -3, 0, -0.4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**4\/24 - x**3\/3 - 2*x**2. Let d = -4 - -7. Suppose 3*p + n - 2*n = 0, -2*p = -d*n. Calculate k(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*b*g - 296*b*h - 30*b - 2*g*h**3 + 2*h wrt h?\nAnswer: -296*b - 6*g*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -9 - (-122 - -64 - -11)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 7. Suppose -3*c + 5 = o*w, -c + 15 = -3*w + 7*w. Let g be 2\/((-1 + 3)\/1). Solve 6*h - 4*h - 5*f = g, 4*f + 11 = w*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2664, -2739, -2928, -3231, -3648?\n\"Answer: -57*t**2 + 96*t - 2703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 - 4*m**2 + 2*m. Suppose -3 = -4*n + 5. Calculate q(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 6:38 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + 2 - 2)*(-5 + 2 + 5) - p - 13*p + 2*p to w + z*p and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3610978.8 to the nearest ten thousand.\nAnswer: 3610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1408095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -33397620 times 0.5?\nAnswer: -16698810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18187 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-1000)\/24)\/(((-2)\/78 - 3) + 3) and 650?\nAnswer: 3250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 less than 171321689?\nAnswer: 171321688.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvhhhvhvhvvvv. What is prob of picking 2 v?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -282 + 282 - 43*w to the form x*w + c and give x.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 101000100110110010 (base 2) in base 9?\nAnswer: 273132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2201925 is divided by 314559.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-699)\/(-6) + -2)*6. Suppose 0*c = 3*c - t. Suppose 3*h - 2*i = 106, -i - 74 + c = 5*h. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -1. Let g(s) = s + 8. Let a be g(9). Suppose 2*d = -5*x, -c*d + a = x + 4. Sort -2, d, -0.2.\nAnswer: -2, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1825 divided by -365?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-4 + 1 + 7 + -9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33885*s**3 - 67807*s**3 + 33894*s**3.\nAnswer: -28*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/325*78\/63?\nAnswer: -12\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3677841 is divided by 69391?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -2\/3, 189, 3, 0.2.\nAnswer: -45, -2\/3, 0.2, 3, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -70 (c) -4\/5 (d) -29 (e) 2\/15 (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2, 5*k - 672 = -x + 277. What is the highest common factor of 112 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 640*u - 651*u + 66 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2319700 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38 and 3086?\nAnswer: 58634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31289 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 880\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 152 = 3*h - 149, -n = 2*h - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41.4 - 19. Let y = -23 + k. Let j = -4 + 7. Which is the second smallest value? (a) y (b) 1\/6 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**(-1\/9))\/z)\/z)**(11\/7)\/((z*z\/(z**(1\/12)*z*z))\/(z\/(z*(z\/z**(12\/11)*z*z)\/z))))**42 assuming z is positive.\nAnswer: z**(-7129\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 15*z + 1. Let c = 24 - 17. Let g be f(c). Suppose g = -0*h + 2*h. Does 21 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**3 + 16*m - 16*m + 9*m**2 + 3*m**3 in the form d*m**2 + s + j*m + x*m**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 27*q**2 + 51*q - 101. Let m be k(41). Let h = -4169 + m. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1500674017?\nAnswer: 19, 78982843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = g - 16, -97*g - 89*g = -189*g - 4*w + 13 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - y + 1. Let a(w) = -2*w**2 - 5*w + 6. Let l(s) = -a(s) + 5*x(s). Suppose -3 = 5*b + 2. Let i be l(b). Solve 0 = 2*u - i*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.043 + -0.143. Let s = -4.61 + 4.21. Which is the nearest to 0.1? (a) j (b) s (c) 9 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/2 (b) -0.056 (c) -0.37 (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1075337, 2150675, 3226013, 4301351?\nAnswer: 5376689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 370012193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29449200 a multiple of 1150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73 (base 12) to base 14.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 30 = 5*s, -11*s + 6*s = 4*m - 26. Solve -3*q - 2*j = 0, 3*j - j = -m*q - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-11))\/(1449\/9108) + (-51)\/4.\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 + 2*w**3 - 3*w**3)*(-1 + 1 - 2*w**2)*(-2 - 3 + 4).\nAnswer: 4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19050090 is divided by 3414.\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 229431646 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8815907 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153654 is divided by 55?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a - 5. Let z be u(-5). Suppose 4*p = -p - 3*b + 35, 5*b = z*p + 5. Solve 20 = p*h - t, 0 = -4*h + 3*h - 4*t + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 10) in base 3?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335049.\nAnswer: 3, 11, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523 - 2338 - 2482 = -159*y + 2858 for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**7\/42 - 3*n**6\/20 - 23*n**3\/6 - 3*n**2 - 6*n. Find the first derivative of h(m) wrt m.\nAnswer: 20*m**3 - 54*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -1\/8290?\nAnswer: -1\/8290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddi when three letters picked without replacement from {d: 2, l: 1, x: 1, i: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (49504\/6)\/14 + 4\/6 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 16) in base 5?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.631 - -0.369. Let m be 0 - (1 + 0 + -1). Which is the biggest value? (a) f (b) -0.06 (c) -2 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, m: 1, r: 6, y: 4, w: 4, e: 1}. Give prob of sequence ylym.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 7*s + 261 - 125, 5*s = -l + 95 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 217659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -3\/2, 1.02, -2\/3?\nAnswer: 1.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3. Let f = -0.5 - u. Which is the closest to 1\/5? (a) 0.2 (b) -0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 1570 = i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 0 (b) 27\/5 (c) 1\/3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*n. Suppose 4*m = y - 0 + 9, n = 2*m + 5*y - 21. Suppose 0 = -m*h + h + 32. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 150228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-6) + 20\/(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -81, 0, -0.3, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 = -70*p - 753 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 6. Let z be u(-8). Let x be 1 + -1 + 8\/z. Suppose 0*g = g + x. Which is greater: g or -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 2. Let c be q(0). Let k be -17 - -1 - -2 - c. Does 5 divide 29\/3 + (-4)\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 7) to base 3.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -436861700?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1198, 1199, 1200?\nAnswer: 1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**4\/4 - 19*d**3\/3 + 22*d**2 + 36*d - 191. What is n(-21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 30. Find the second derivative of -5*d**2 - 8*d + k*d**2 + 10*d wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 192, 328, 418, 456?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*a**2*y + 598*a**2 - 15*a - 84*y**2 wrt y?\nAnswer: -7*a**2 - 168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31339810 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30402 is divided by 596.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -225, -440, -647, -846, -1037, -1220?\n\"Answer: 4*u**2 - 227*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2178449 and 84175.\nAnswer: 3367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 15 = -5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-1 + 4 - 1). Suppose -u + 2 + 3 = m. Suppose 7 - 2 = u*d. Is -1\/5 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*(-5)\/(-1) - -1. Let y be (6\/3)\/((-4)\/(-6)). Suppose y*s - 240 = 132. Calculate the greatest common factor of s and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 - 434616*s**2 - 434612*s.\nAnswer: -4*s*(s + 1)*(s + 108653)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (4 + -10 + 9 - 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ny when two letters picked without replacement from nynmyompmxoxoxmmmxo?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -248*i + 236*i - 24 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/10*196\/(-3). Suppose 0 = 2*t + 5*a + 97, -4*t - 3*a - 149 = -2*a. Let r = w + t. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c + 35 = -2*i - 3*i - 227, -i + 74 - 125 = c for i.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 6*y**2 + 6*y - 10. Suppose -9 = 2*u + 5. Let j be s(u). Is 25 + 9\/j - 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 10280*f**2 - 6760945*f - 1388524450.\nAnswer: -5*(f + 410)*(f + 823)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 6*i - 25. Let j be y(9). Let o(m) = 3*m**2 - 7*m + 5. Let r be o(j). Solve -3*l - r*u = 0, -3*l + 0*u - 25 = -2*u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**3 + 7*m**2 - 5*m - 9. Calculate x(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 12*f - 5. Determine v(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*n = -76, 4*n = -5*q - 0*n + 90. Suppose -2*r - 4 = -q. Find the third derivative of -t**2 + 7*t**3 + 4*t**3 - r*t**3 wrt t.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6348 - p + 2*p - 6348. Let d(w) = 107*w + 1. What is d(f(o))?\nAnswer: 107*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 35*o**2 + 11*o - 325. Determine i(-35).\nAnswer: -710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 293053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from tkfss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5762 is divided by 5723?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1048)\/(-8) - ((-4)\/1 - 1). Suppose -7*n + s = 27*n. Find r such that 16\/7*r - 24\/7*r**2 + 0 - 2\/7*r**n + 12\/7*r**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -716*g**3*n**2 + 4768*g*n**2 wrt g.\nAnswer: -4296*g*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - 2*h**2 + 5*h**2)*(4*h**3 - 8*h**3 - 7*h**3 - h**3 + 0*h**3 + 0*h**3 + (-h**2 + h**2 - h**2)*(-3 + 3 + 2*h)).\nAnswer: -42*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1673 divided by -239.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -2*v - 4, 1461*v - 3*g = 1460*v - 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 9 = 1, -15 = -h + 5*m. Suppose 4*w - 23 = 57. Suppose -h*c + w = -20. Solve -k + c = 4*l + 1, -5*l - k = -9 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (1 - (-17)\/(-7)). Suppose -8*l + 40 = 8. Find w such that -10\/7*w**l + 4\/7*w + h*w**2 + 0 + 2*w**5 - 18\/7*w**3 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 22 = 4*h, 5*h + 3*c - 14 - 12 = 0. Suppose 8 = -2*z + 4*o, -2 = z - 3*o + h. Solve 4*a + 2 = -2*x, 4*a = -z*a - 3*x + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 692045922*u**5 + 945500237*u?\nAnswer: 13840918440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -25\/11, -1, -53?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -40, -25, 28, 131, 296?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2002133 + -1332?\nAnswer: 2000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 w when three letters picked without replacement from {u: 3, w: 1, d: 2, p: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 801 is divided by 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 122197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**2 - 19*y - 7. Let r = 25 + -20. Calculate the remainder when f(r) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2*t + 8. What is the third derivative of 6*z**3 - t*z**2 + 0*z**3 - 2*z**2 wrt z?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*k - 80813 = -77524 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t. Let n(v) = -2*v - 148. Give n(x(r)).\nAnswer: 4*r - 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*j = -904 - 156, -2*j - 1072 = -3*y. Let m = 11 + 5. Suppose -11*p = -m*p + y. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k - 859*k**2 + 1832*k**2 + 0*k - 5*k**3 - 887*k**2 as q*k**2 + v*k**3 + h*k + r and give q.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*(g**(-2\/57)*g*g*g)\/g)*(g\/g**(-40))\/g)\/(g\/(g\/((g**(37\/2)*g)\/g))*g**(-24)\/g) assuming g is positive.\nAnswer: g**(5077\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 + -4 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 22*d**2 + 2*d - 2. What is l(1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m = -5*s + 116, -57 = -3*s - 3*m. What is the greatest common divisor of 352 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -0*a + 2*j + 1270, 0 = 5*a + 2*j + 2110. Let u = 133 - a. Suppose 962 = 4*r - 4*l + 222, -3*r + u = -5*l. List the prime factors of r.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80678 or 82898?\nAnswer: 80678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19437887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 152 + -151.418. Let t = q - 0.415. Let u = 9.733 + t. What is u rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -13, 0, 1, -1 in ascending order.\nAnswer: -13, -1, 0, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, s: 2, u: 1}. Give prob of sequence uls.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.8 + 16. Let a = -22873457.79999944 - -22873456. Let b = i - a. What is b rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1808 divided by -1808\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f = -9711 - 28882 - 3051. Solve 1432*m = f*m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-7)\/(-2)*(-8)\/(-56).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -674589 = -3*p - 2*p + 2*a, -10 = 5*a. Let v = p - 2918057. Let d = v - -18283140. Round d to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -16\/7*k**3 - 3092\/7*k**2 - 3844\/7*k - 768\/7 = 0.\nAnswer: -192, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 26. Which is the second smallest value? (a) z (b) -25 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 13 = 3. Let m be 8 + 630\/(-80) - 306\/o. Put 2, m, -2 in decreasing order.\nAnswer: 2, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x - 3. Suppose 5*d = -3*s - 0*s + 2, -3*d = -5*s + 26. Suppose 5*i = s*l - 4, 2*l - 4*i = -2*i. What is the units digit of o(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**9\/40320 - w**8\/13440 + 51*w**5\/10 + 7*w**2 - 12. Let t(u) be the third derivative of x(u). Find r, given that t(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -787 - -1956. Let q = -1257.7 + w. Round q to the nearest integer.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2180 - 2180 - 9*r.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 374601 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 918*d - 16050 = 888*d. Are 533 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -553, -1110, -1667, -2224, -2781, -3338?\n\"Answer: -557*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 8*o**2 - 1. Let p = -17 + 16. Let q be n(p). Calculate the greatest common divisor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1005104*s**4 + 13317724*s**3 + 25628880*s**2 + 11304972*s - 1080 = 0. Calculate s.\nAnswer: -1, -3\/4, 6\/62819, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from jcjjjcjjcjjjjccrcjc?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**2 - 15*y - 6*y**2 - 35*y + 15*y**2 + 18*y**2 to the form q*y**2 + d*y + j and give q.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/2))**24\/(u**(3\/4)\/u*u\/u**(-1\/6)))\/((u*u\/u**(-4))\/(u*(u*u**(-2))\/u)*(u*u**3\/u)\/u**(-4)) assuming u is positive.\nAnswer: u**(-323\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**2 + 2*u + 3. Let k be x(-1). Let p(j) = j**3 + 5*j**2 + 4*j + 3. Calculate p(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268588 < 268585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = a + 12, -a = a + 5*z + 36. Let y = -6 - a. Let h(d) = -7*d - 2*d**y + 4*d**2 + d**2 - 2*d**2 + 9. Give h(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 2)\/(-8 + 7). Let y(m) = -4*m**2. Let u(r) = -r**2 - r. Determine n*u(z) + y(z).\nAnswer: -3*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k = m - 10, -60 = -3*m - 2*k. What is the remainder when 42 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + -3 + 3)*(1 - 6). Let y(n) = k - n - 10*n + 43*n - 2. What is the units digit of y(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1225 - 3?\nAnswer: -1228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -156 + 306. Suppose 4*v - y = -t, 4*t - 446 = -v + 154. Does 25 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 l, and 1 h when four letters picked without replacement from fllvxllhflxvxxfx?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 8*f + 5863. Find the common denominator of 1\/(-144)*(f + 1)\/2 and -71\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - (-22)\/24)*(63 - 66). Which is the third biggest value? (a) m (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 33388875 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**3 - 5*z**2 + 12*z - 5. Let o(m) = -4*m**3 - 7*m**2 + 18*m - 7. Give -7*a(y) + 5*o(y).\nAnswer: y**3 + 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -a**4\/3 + 2*a**3\/3 - 7*a + 5. Let s(q) be the first derivative of k(q). Solve s(j) = 0 for j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -78*l - 5194. Let a be u(-69). Is a equal to 184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010608 to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -189*b**3*r - 1490323*b**3*s + b**2*r*s + 80645*b**2*r - 2*b*r + 6*b - r*s wrt b?\nAnswer: -1134*r - 8941938*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3564 divide 317563339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 4*h**2 - 2*h - 6. Let q be z(-4). Find the second derivative of -2*b**3 - q*b + 2*b + b + 0*b wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/13608 and 62\/76545.\nAnswer: 612360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/643?\nAnswer: -3\/643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24157693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 4:04 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-8)*(-12)\/(-18). Let g be -1 + 8 - 10*(-5)\/(-10). Factor 1\/2 - d**g + 1\/2*d + n*d**4 + 1\/2*d**5 - d**3.\nAnswer: (d - 1)**2*(d + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -44990*i + 1124743. What is r(25)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4921*z + 210 = 4936*z for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 13.07. Let x = p - -3.07. Let s = 11 - 12. What is the third biggest value in x, 0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 120, 573*b - 2*k + k + 59 = 580*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5618 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - f + 1. Let x(c) = c**2 + 2*c. Let p(h) = -5*o(h) - 6*x(h). Suppose -19 - 11 = 5*k. Let l be p(k). What is the smallest value in 5, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = 5*j + 5*o, -4*j - 3*o + 149 = -4*o. Let r = -26 + j. Solve -r = 4*s - 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + ((sqrt(20) + (-2*sqrt(180) - sqrt(180)) - (sqrt(80)*-2)\/sqrt(4))\/((-2*3*sqrt(70))\/sqrt(7)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9, 797, 2923, 7053, 13853, 23989, 38127, 56933?\n\"Answer: 111*b**3 + 3*b**2 + 2*b - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 682237 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(21)\/sqrt(3)*-4 - sqrt(7))*-2 + -4.\nAnswer: -8*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23059\/466 + -4\/233. Calculate the common denominator of u and (-8)\/12 + (-845)\/(-300).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1735 is divided by 97.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -219 (c) 1\/3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*r, 2 = x + 5*r - 0. Suppose 248 = 73*q - 11*q. Put x, q, -1 in descending order.\nAnswer: x, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*k**2 + 93466636*k**3 + 4*k**2 + 2 - 93466631*k**3 as s*k + l*k**2 + q*k**3 + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnfnffnnnnnnnn. What is prob of picking 3 f?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/39)\/((-14)\/3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + t + 3615. Find the common denominator of -5\/22 and 4\/16 - t\/(-36).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(567) - sqrt(567)*-1) + -3 - ((sqrt(567) + -1 - sqrt(567))*3 + 5)**2)*4.\nAnswer: -288*sqrt(7) - 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -571343990 divided by 6721694.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/(-9) - 1\/3. Let b(s) = 3*s**2 + 4*s - 3. What is the tens digit of b(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + -bb7c?\nAnswer: -bb85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 33116 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p + 4*q + 7 = 0, 5*p = 5*q + 40. Suppose 0 = -5*h - 0*h + p. Which is the closest to h? (a) -2\/5 (b) 0.3 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(288) - sqrt(288))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6584\/16435 + 2\/3287. Is 0 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30\/7 + 127\/28. What is the nearest to d in -0.2, 2\/29, 0.5, -4?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5)**24*(m**13\/m)\/m**5 assuming m is positive.\nAnswer: m**127","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*m + 5. Let h = m - -8. Suppose -h*b = -24 - 11. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 402 (b) 86 (c) -0.1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + n + 1. Let d be 165\/60 + (-1)\/(-4) + 0. Let g(v) = 9*v - 9*v + 3*v**2 + 2 + 0*v**3 - v**d. Give g(l) - 2*w(l).\nAnswer: -l**3 + l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 807.\nAnswer: 161.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 13*p - 19. Let f = -113 + 102. Let c be b(f). Let y = c - 174. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**3*r**2 + 2630473*l**3*r + l**2*r + 99082*r**2 wrt r?\nAnswer: -4*l**3 + 198164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -32, -47, -58, -65?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d = 12 + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w + 6*w + w + (-2 + 2 - 7*w + (-3 - 4 + 3)*(-2*w - 3 + 3))*(-1 - 2 + 2 + 5 - 3 - 1 + (0 - 4 + 6)*(-3 + 5 - 3) - 1 - 4 + 4).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1771 - 27?\nAnswer: -1798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 46 - 141 = 0. Let q = v + 15. Let k be q*(12\/(-4) - -2). Solve -11 + 31 = k*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 644*a**3 - 216*a**3 - 213*a**3 - 214*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18\/4*(-70)\/(-15).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/28 + 2 - (-2)\/7. Suppose -b*s = 4*k, -4*s = -0*s. Suppose i + 2*i - 5835 = k. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 481 + -154. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/(-105)*(-30)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u. Suppose 3*z = -43 + 40. Let h(x) = 104*x - 14. Let l(p) = z*o(p) + h(p). Is l(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467965*b - 35297 = 467214*b for b.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7416\/77 - -1072\/11. Find q such that b*q + 6\/7 + 2\/7*q**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1801.28 and 3020.\nAnswer: -5439865.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.584 - -0.684. Which is the biggest value? (a) m (b) -0.39 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -98*i**2 + 4049*i - 851. Determine c(41).\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + x = 1, -17 - 5 = -4*h + 2*x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1763064 is divided by 2449.\nAnswer: 2233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-380)\/(-30))\/((-8)\/(-12)) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/27892)\/((-20)\/(-40)). Is 1 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 take away 0.0984868?\nAnswer: -18.0984868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqgeegsegegeggggggig. Give prob of sequence iq.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*w - 15 = -3*n + 32*w, w = 4*n - 30 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f = 24*f - 5. Does f = -1\/310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72704 = -10*h - 40943 + 53029. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57*c**2 - 4*c**3 + 59*c**2 + 3*c**3 - 2*c**4 + (4*c**2 - c**2 - c**2)*(-3*c**2 - c**2 + 2*c**2).\nAnswer: -6*c**4 - c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5*d - 354 + 34, 2*s + 2*d = 640. Let u = s - 217. List the prime factors of u.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94328777677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 39 - 57 = 0. Suppose -4*c + c - d = -5*k, 8 = -3*k - 5*c. Let -4*j**3 - 2\/3*j**5 - 2\/3*j + 0 + 8\/3*j**2 + 8\/3*j**k = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 11*b - 43. Give r(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/3 (b) -4 (c) 2 (d) 306 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -1. Let r = -13329.8 + 13328. Put 2\/3, 2, b, r in descending order.\nAnswer: 2, 2\/3, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 24) + -2 + 8853 + -8829?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70263, 140563, 210863, 281163, 351463?\nAnswer: 421763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w. Let z be q(-10). Suppose -m - z = -2*m. Find the second derivative of -h**2 - m - 3*h + 10 wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1178*k + 6. Let u(d) = 2354*d + 13. Calculate 4*u(r) - 9*v(r).\nAnswer: -1186*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 924\/112*4 - 27. Let c be 4\/(-14) - 338\/(-7). What is the highest common factor of y and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oggoggolgggooloogo. Give prob of picking 1 o and 1 g.\nAnswer: 64\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 1. Let y be -2*2\/8*i. Let f(r) = 0 + 6 - 2*r - 2. Let n(q) = 1. Calculate y*f(t) + 4*n(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 257 - 258. Does 29 divide (10\/35)\/s - (-6500)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1160*g**3*u - 3899*g**3 + 595*g**2*u + 10*g**2 + 2*g*u wrt g.\nAnswer: 6960*u - 23394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -8.3. Let l = q + 0.4. Let u be (57\/(-3) + 13)\/15 - 2\/(-2). Which is the nearest to -3? (a) u (b) l (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119534*-0.08.\nAnswer: 9562.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -59\/134 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1012 - -1001044140?\nAnswer: 1001100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2887?\nAnswer: 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 20*g - 6*g**2 - g**2 + g**2.\nAnswer: -5*g*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 5, -5, -23, 4163 in decreasing order.\nAnswer: 4163, 15, 5, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71254 is divided by 70545?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -5. Let m be (0*(-3)\/6)\/5. Suppose 22*s - 21*s + 4 = m. Which is the third smallest value? (a) -1 (b) o (c) s (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90 - 143. Let a = i + 74. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*z - 4 = 2*z, -2*z - 2 = 0. Let x be q + 2*(2 - 4). Let j = -1 + x. Put -4, -1, j in increasing order.\nAnswer: j, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0523 + 32.0023. Let s = 0.95 - q. Let l = -31.0123 - s. Round l to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9704 - 146?\nAnswer: 958b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jed when three letters picked without replacement from ccfddjeedeccd?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -406 + 3149. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 71 = k, -2*b + 0*k + 5*k = 49. Let q(r) = r**3 + 18*r**2 + 15*r + 16. What is the tens digit of q(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*a + 66 = 0, w - 10 = 4*a + 23. Suppose -2*q + 4*x = -q - 18, -q + w = x. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2093, -1805, -1555, -1361, -1241, -1213, -1295?\n\"Answer: -3*w**3 - w**2 + 312*w - 2401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 1854*l**2 - 381924*l + 26225448.\nAnswer: -3*(l - 206)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18251, 72662, 163229, 289952, 452831, 651866?\nAnswer: 887057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 61 + 0?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 12:43 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/15 + 8\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z. Let b(u) be the second derivative of 1\/2*u**2 - 1\/20*u**5 - 3*u + 0 + 0*u**3 + 0*u**4. Let d(f) be the first derivative of b(f). Give r(d(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/4 of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 divided by -330?\nAnswer: 26\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 8 = -0*r. Calculate the remainder when 62 is divided by 1\/r - 129\/(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/8 or 459961?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3. Let r be 3 - q - 0 - 1716. Let b = 8593\/5 + r. What is the common denominator of b and -45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (546\/(-6))\/7*-8 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*i + 18*i + 13*i - 15 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 255759.8381792271 - -0.1183207729. Let s = -255823 + y. Let t = s + 63. Round t to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0) + (-17 - -18) + (-1 - 16).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001594 rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 499698*s**4 - 1044991*s wrt s?\nAnswer: 5996376*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/4 - 179*b**2\/4 - 2235*b\/2.\nAnswer: -b*(b + 30)*(b + 149)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 43496 bigger than 43512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 3*w + 4*m, 5*w - 165 = 4*m - 2*m. Let v(p) = -2*p**2 - w*p + p**2 + 4 + 30*p. Let l be (3\/1)\/(2 + -1). Calculate v(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 149*d**4 - 149*d**2.\nAnswer: 3576*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(8\/7))\/(h\/h**12) assuming h is positive.\nAnswer: h**(92\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/5 + 212172*t\/5.\nAnswer: -t*(t - 212172)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.015 - -281\nAnswer: 280.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002747 rounded to five decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.02 (b) 0.9 (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8625*o**3 + 5980*o**3 + 16588*o**3 + 3088*o**3.\nAnswer: 34281*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from mmccccomomommmommmm?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3148 is divided by 175.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -2*h**6\/45 - h**4\/3 - 2*h**3\/3 + 11*h. Let k(m) be the second derivative of l(m). Find the first derivative of k(z) wrt z.\nAnswer: -32*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 5, 4, -253 in ascending order.\nAnswer: -253, -3, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -69*y**3 + 3*y**2 + 7*y + 2. What is the thousands digit of i(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.761 + -3.46. Let l = -1.57 + -0.03. Let f = l - h. Round f to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 3:54 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 1:42 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*v**2 + 14*v - 14*v)*(15*v - 18*v - 21*v).\nAnswer: -480*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/7, 4331, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-126))\/((-6)\/7)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 4*g**2 - 4*g + 2. Suppose 4*u = -4*i - 12, 5*u + 35 = 3*i + 2*i. What is s(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1676 divide 113984422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -127*i**7\/10 + 59*i**5\/6 + i**4\/24 - 2*i**2 - 3. What is the third derivative of z(q) wrt q?\nAnswer: -64008*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 5*i**2 + 9*i + 4. Let j be b(7). Let a = 114 - j. Let o = -41 - a. Solve 4*c - 2*n = 12, 3*c - n - o = n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1976 - -156.8024. Which is smaller: r or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*n = -16, -5*n = -i + 4 - 12. Suppose 6 = 4*z - 3*x, 0 = -4*z + 3*x + 2*x + i. Let j = -5 - -10. Solve -z = -j*o + 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2928577, -183 in decreasing order.\nAnswer: 3, -183, -2928577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2612400 and 4725.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 125. Let g(l) = -65 + l - 299 + 364. Give n(g(a)).\nAnswer: a - 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**5\/60 + 46*c**2 - 17. Let s(v) be the second derivative of k(v). Let g(t) = 227*t. Give s(g(l)).\nAnswer: -51529*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**2. Let z(s) be the third derivative of s**4\/6 + 12*s**2. Determine z(u(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161456 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/23187 and 10\/649.\nAnswer: 255057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 35, 41, 45, 41, 23, -15?\n\"Answer: -d**3 + 5*d**2 - 2*d + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (36\/30)\/(2\/(-5)). Let q be -1*(3 + 21\/z). Suppose 0 = q*j - 332 - 112. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -30*i**2 + 5\/3*i**3 - 65*i - 85. Factor g(y).\nAnswer: 5*(y - 13)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113*f**2 - 39*f**2 + 65*f**2 - 147*f**2 + (-3*f + 2*f + 3*f)*(2*f - 4*f + 0*f) to r*f + i + g*f**2 and give g.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-3) + (-11 - -11). What is the third smallest value in 3, 7, x?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -1\/24*y**6 - 1\/10*y**5 - 4\/15*y**3 + 0*y + 0 + y**2 + 3\/10*y**4. Factor m(k).\nAnswer: -(k + 2)*(5*k - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -163 + 165 + (-3 - -15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134709\/22 + -6123. Which is greater: 0.127 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -r + 4*o, -3*r + 4*o = -8*r - 84. Let b = 9 - r. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 19012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g + 4 = -n, -2*g = 2*n + 14. Let u be n*3\/12*2. Is 5 a factor of 2\/u + 21\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006546 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*n + 1. Let t = 4.827 - -0.213. Let x = t - 0.04. What is the smallest value in n, 1, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1587 and 39951.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15, -22, -29, -36, -43?\n\"Answer: -7*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10, i: 1, z: 2, w: 1}. Give prob of picking 4 e.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-132 - -146) + 46\/(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x. Let w(p) be the first derivative of -p**2 - 6. Determine n(w(v)).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -255.63 - -254. Round w to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7945158, -7945161, -7945166, -7945173?\n\"Answer: -k**2 - 7945157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 283596156 to the power of 1\/2, to the nearest integer?\nAnswer: 16840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 5*r - r - 158228, -3*x + 4*r = -118643. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zu when two letters picked without replacement from {i: 3, u: 4, z: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - 1. Suppose -6 = 5*i - 16. Determine r(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 4*w + 7 = -4, 5*w - 15 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 711 - 707. Suppose t + 10 = 6*t. Let f be (20\/15)\/((-1)\/3). What is the closest to 1 in r, f, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**2 - 3885940*z - 11657775 = 0.\nAnswer: -777185, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.83 - -9.03. Which is the closest to -1? (a) -1\/3 (b) l (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.762999511 + 0.763. Round o to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**3)\/(i*i**5)*(i**(3\/2)*i)\/((i*i\/(i**(-5\/2)\/i))\/i*i))**(-2\/45) assuming i is positive.\nAnswer: i**(22\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 328216?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12723 (base 16) to base 10\nAnswer: -75555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 1578 = 290. Let i be o\/6 + (-4)\/(-8). Let r = 26 + i. Which is bigger: 0.3 or r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68162?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (-15 - -18 - -14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 279.8 + -249. What is h rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -761, -762, -763?\n\"Answer: -j - 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1196*c - 9895 + 56539 = 0 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from shshsshhshhhhshhhsh. Give prob of picking 4 h.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 0*p + p)*(-2*p**2 + 0*p**2 + 4*p**2) + 3*p + 2*p**3 - 3*p - p**3 + 3 - 3 + (3*p**2 - 2*p**2 + 2*p**2)*(-4 - 2*p + 4).\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4387*p - 9. Let r(u) = -2176*u - 4. Determine -13*r(k) + 6*w(k).\nAnswer: 1966*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 232131 (base 6) to base 9\nAnswer: 30301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 121*u**2 + 5.\nAnswer: -121*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 - 2*l + 1. Let h(y) = -720*y**2 + 3*y - 43. Let p(c) = h(c) + 3*k(c). Find the second derivative of p(x) wrt x.\nAnswer: -1458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 divided by 25\nAnswer: -47\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + k + 3 + 4)*(4 + 1 - 1).\nAnswer: 4*k + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*y + 60. Let u be (-3)\/y + (-162)\/(-15). Suppose f + 173 = 4*q, -q - 47 = -2*q - f. What is the greatest common factor of u and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 792892 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*m - 8, 2*a = 3*m + 5*a + 12. Let v(c) = m*c - 4*c + 2*c. Suppose 68 = -186*l + 812. Determine v(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z + 3*f - 31 = -28*z, f + 59 = 4*z. Solve -15*g = -z*g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3da5d (base 15) to base 9\nAnswer: 331647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*r + 5*t - 40374 = 0, 4*r + 3*t - 80776 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-32) - 0)*-8. Let a(h) = 161*h**2 - h + 3. What is the units digit of a(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5*(-18)\/(-225))\/1. Sort 5.7, 1, -2\/11, g in increasing order.\nAnswer: g, -2\/11, 1, 5.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162\/3*(-8)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -317*x - 1182. Suppose 0 = 4*j - j - 3*c - 69, -4*j = 4*c - 68. Calculate the lowest common multiple of j and i(-4).\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**2 + 10*m + 16. Let r(y) = y**2 - 5*y - 8. Let q(u) = -5*r(u) - 2*x(u). Let v be q(-3). Solve -v + 17 = -5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44748491 to the nearest integer?\nAnswer: 6689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47157 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 + 2*k - 4. Let l(n) = n. Suppose 4 = -2*o, m = 2*o + 7 - 0. Suppose 0 = m*t - 0*t - 12. Let u(r) = t*l(r) + c(r). Factor u(w).\nAnswer: -2*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76 - -107. Let q = 71 - n. Let j = q + -41.9. Which is smaller: -2 or j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -179 + 181. Solve 2*z - 5 = j, -x*j + 0*j = -2*z + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -930, -1855, -2794, -3753, -4738?\n\"Answer: -b**3 - b**2 - 915*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*n = -18, 0 = -2*b - 0*n - n + 6. Solve 0 = b*q + 11 - 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 4902, -5, -154 in ascending order.\nAnswer: -154, -25, -5, 4902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*j = -14, 4 = -4*f - 2*j - 6. Which is greater: f or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23403366.\nAnswer: 2, 3, 7, 281, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 = -2. Let g(a) = 7*a - 2. Let y(d) = 3*d - 1. Let h(b) = 2*g(b) - 5*y(b). Let v(j) = 6*j - 3. Let x be ((-2)\/(-6))\/(2\/6). Give f*h(t) + x*v(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -61, -49, -15, 53, 167, 339?\n\"Answer: 2*w**3 - w**2 + w - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*g + 5. Suppose 0 = -0*n + g*n - 350. Let j be (-20)\/n + 46\/14. Which is the biggest value? (a) 3\/2 (b) -0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 5*y + 8, -4*a - 2*y - 8 - 4 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + -31)\/((-3)\/166). Suppose -5*k = -4*v - x - 35, 0 = k - v - 373. Calculate the greatest common divisor of k and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -22) + 0 + -29 + 16 + 22?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -101153 (base 6) to base 9\nAnswer: -12046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/15)*v)**(-4\/37)\/(v**(-1\/6)*v)**(-2\/5) assuming v is positive.\nAnswer: v**(47\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -475735 - -0.5.\nAnswer: -475734.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223266650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 380330332 to the nearest integer?\nAnswer: 19502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -624.347 - -624. Let m = d + 17.447. What is m rounded to 0 dps?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 112465 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.011 + 1.789. Let h = -2.1 + m. Let r be -2 + ((-20)\/3)\/(-2). What is the second biggest value in r, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 11\/12, 0.5, 45, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*52\/91*49\/14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*j**2 - 20*j**2 - 26*j**2)*(-18*j - 1 + 39*j + 1).\nAnswer: -2352*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/7 - 24*o**2\/7 - 885*o\/7 - 858\/7.\nAnswer: 3*(o - 22)*(o + 1)*(o + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2636*y = 2398*y - 261768 for y.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*s + 130 = -12*s - 10*s - 716 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 2:28 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 373241229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 2*x. Let b(c) = 4*c**2 + c. Let m be b(1). Suppose -3*v + 14 = 2*l, -l + 4*v = m - 1. Is o(l) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5 = 2*f - 15, 3*f - z - 16 = 0. Let t(s) = -4*s - 3. Let w be t(-3). Let j = w - 3. What is the highest common divisor of f and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 2*y - y)*(17*y + 109*y - 25*y + (2 + 1 - 1)*(y - 4*y + y) - y - 5*y + 2*y - 5 + 5 + y).\nAnswer: 188*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 123084 and 18?\nAnswer: 123084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152658825 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-118 - (-9 - 6 - -7)) + (2 - 8) - 12.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 23*x**2 - 132*x - 1463. Determine a(-26).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 406 - 399. Determine d so that -k*d**3 + 5*d**5 - 3*d**3 + 4863*d - 4858*d = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) 2\/7 (c) -4 (d) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75484 and 2672?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 305.99\nAnswer: 1835.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 10:46 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 8974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 18*s**2 - 4*s - 3. Give q(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -647\/3023 <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooogooogozooooooooog. Give prob of picking 1 o and 1 g.\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - (sqrt(110)\/sqrt(90) + sqrt(11)) - sqrt(44)\/sqrt(4)*3.\nAnswer: -10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -36*n. Let v(q) = 106*q + 1092. Determine 3*m(u) + v(u).\nAnswer: -2*u + 1092","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -6*m, -2*a = 2*m. Suppose a = b - 15 - 40. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1145 (b) -3\/4 (c) 1\/2 (d) 4\/3 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0232546 to three dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 61129, 60936, 60741, 60544?\n\"Answer: -n**2 - 190*n + 61320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((6\/27)\/(-2)) - (-24353)\/2982.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 - 82?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*r**3*s**3 - 3*r**3 - 2*r**2*s**4 + 11*r**2*s**2 - 2*r*s**3 wrt s?\nAnswer: -48*r**3 - 48*r**2*s - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -10*p. Let l be i(-1). Suppose 0*d = l*d + 40. Is -9 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*(z\/(z\/(z**32*z)))\/z*z*z**(2\/43)*z*z*(z*z\/z**31)**(1\/84) assuming z is positive.\nAnswer: z**(128953\/3612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**5\/10 + 17*h**4\/12 + 8*h**3\/3 - 6*h**2 + 2*h + 7. List the prime factors of n(8).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*m + 1061 = -9*m + 385 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - -3. Let r = -20 + j. Put -1, r, -4 in descending order.\nAnswer: r, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*n - 20 + 20.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 38.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2763 is divided by 307.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/4 - 11\/(-2)*4 and -157\/114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.214679 years to decades.\nAnswer: 0.0214679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -738388 divided by 105484.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 2072982*q**2 - 2072846*q**2 + 24.\nAnswer: 136*q**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 + 2012751*f**3 - 1006531*f**3 + 3*f**2 - 2*f**2 - 1006395*f**3.\nAnswer: -175*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 9:04 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.049705 centuries to millennia.\nAnswer: 0.7049705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) -0.4 (b) -3 (c) 2095\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 9*p - 1. Let a be r(-1). Let i be a\/(-2 + -1 + 1). Calculate the highest common divisor of 15 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.493074 - -2.498. Round o to four decimal places.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = b + 19. Let c = 3047\/17 - 179. Is b >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/5 - 24146*s**3\/5 + 72429*s**2\/5.\nAnswer: s**2*(s - 24143)*(s - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -0*s + 12*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1850?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 - 31. Suppose 4*o - i = -1. Suppose -2*u + 5*k + 4 = 0, 3*u - 3 = 5*k + o. Solve -4*r + u*p + 4 = 0, 2*r + 8 = r + 5*p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 32 + -15 + -15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -44562290.9 rounded to the nearest one hundred thousand?\nAnswer: -44600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 + 71 - 892*h**2 + 894*h**2 + 6.\nAnswer: 2*h**2 + 135","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 29. Suppose f*i = 3*r - 33, 5*i + 9 = -6. Let l(h) = -h**2 + 9*h + 3. What is l(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 437*j - 45085. Determine t(-270).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60563497*a**2*m**2 + 18506*a**2*m - a**2 + a*m**2 + 4*a*m + 6*a + m**2 - 272*m wrt m.\nAnswer: 121126994*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (19\/(-38))\/(1\/(-379702)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103.98 + -1.98. Let x = 5.52295 + -107.522925. Let f = x + k. What is f rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 7*h + 72 = 4*h, -57 = -3*c - 2*h. Let j be 30\/(-16) - -3 - c\/28. Let d = 3.89 + 0.11. What is the second smallest value in -1, 3, d, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60 - -72. Let a = -3338 - -13449\/4. What is the common denominator of (-14)\/j*(3 + (-1)\/1) and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f + 31. Let z(w) = 3*w + 16. Let y(q) = 3*u(q) - 5*z(q). Let d(p) = 2*p + 7. Let a(n) = 11*d(n) - 6*y(n). Differentiate a(b) with respect to b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 6\/7*j**2 - 4\/7*j - 2\/7*j**3.\nAnswer: -2*j*(j - 2)*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006055078 rounded to 5 decimal places?\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -90*h. Let g(l) = -435*l + 855. Let f(i) = -67*i + 133. Let q(w) = 45*f(w) - 7*g(w). Calculate q(c(z)).\nAnswer: -2700*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 9:22 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(7) + sqrt(7)*1*-6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.9237 - 1.8237. Suppose -4*i - 36 = -5*y, -i - 2*y - 1 = -5. What is the smallest value in i, n, -2, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233551 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.9 and -12.7068?\nAnswer: 14.6068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26276647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 14*m + 31. Calculate l(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.77 + 0.17. Let g = i - -1.5999998. What is g rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(560)*2 - sqrt(560))*3)\/(5*(sqrt(500) - (sqrt(500) + sqrt(500)*-2))*6).\nAnswer: -3*sqrt(7)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4101993781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -8. Suppose -3*b + y*s + 15 = 2*s, 2*b = s + 9. Suppose 5*z - 10015 = -4*m, 4985 = 2*m - z - b*z. What is m rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - -40) + (1 - 5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173322980 divided by -19301.\nAnswer: 8980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -9*r + 16. Let l be k(3). Put l, 0.4, 3, -3 in decreasing order.\nAnswer: 3, 0.4, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 3*k - 4 = 0, -129*k + 125*k - 28 = 3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/8*-6 + 84\/35. Which is the closest to -1? (a) 0.1 (b) u (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 10) to base 2\nAnswer: 1000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ohtjhtjohthjtmhhj. Give prob of sequence ohtm.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = a - 65. Suppose 3*n = -2*n + a. Suppose -2*i = -2*y + 150, 4*y + 4*i - 297 + 21 = 0. Calculate the remainder when y is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2378169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9 + 60\/(-36)*-5. Which is the second biggest value? (a) -1 (b) 10.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 - 3789 - 4412 + 8201.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + sqrt(2) + (0 + sqrt(2))*-2 - sqrt(72)*-5)**2.\nAnswer: -232*sqrt(2) + 1697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3159475 = 14*z + 268223. Suppose 3016 = 26*o - z. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1807, 1779, 1733, 1669, 1587, 1487, 1369?\n\"Answer: -9*n**2 - n + 1817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -10*v + 575. What is the remainder when s(53) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4*g**4 + 1)*(-3*g + g + 3*g) + (-5*g**2 + 2*g**2 + 0*g**2)*(-2*g**3 - 2*g**3 + 2*g**3).\nAnswer: 2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 176150 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jii when three letters picked without replacement from {i: 3, h: 4, o: 2, j: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*y**2 + 49 - 12*y**2 - 48 to the form p + d*y**2 + u*y and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8 + (-34408)\/40)\/((-26)\/1170).\nAnswer: 3, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4}. Give prob of sequence ggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-14 - -9) - (-1 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (9 + -48 + 57)) + -34?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1914.03555 - -2014?\nAnswer: 99.96445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*i + k - 19, -5*k = -2*i - 37. Let o(n) = -n**2 - 5*n + 8. What is the units digit of o(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43)\/(1935\/(-5220))*(15\/12)\/5.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45123 and 3291951.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -1.3\nAnswer: 6.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39198699?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3642.24 months to centuries.\nAnswer: 3.0352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/5 + (-66)\/561 + 8860\/170.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136387?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11238 at most as big as 11254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8204438 is divided by 2734810.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.349 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54265874 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*l**3 + 13*l**2 - 9*l**3 + 9*l**3 wrt l?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -37. Let q(o) = -o - 2. Let j(l) = l + 2. Calculate i*j(g) - 7*q(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208326 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/9 and -51\/28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/(-2))\/(7\/(-14)). Let p be 128*o\/450 - -2. Suppose 0 = 3*u + 2*u. Is u < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x. Suppose 2 = -4*p + 2*p. What are the prime factors of f(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4140769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 10) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4211 (base 5) in base 11?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7392)\/(-352)*-6*(-8)\/1296?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -726381 + 61630645\nAnswer: 60904264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001001011001001000000 (base 2) to base 16.\nAnswer: 84b240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3332, 3628, 3924, 4220, 4516, 4812?\nAnswer: 5108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 y, and 1 a when three letters picked without replacement from vavaavvdrybbbbvbrrvr.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 53, 90, 163, 284, 465, 718?\nAnswer: 1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -388 - 197. Let d be 2\/9 - 38329199974\/r. Suppose -4*t = 2*t + d. What is t rounded to the nearest one million?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2*o*p + 20*f**2*p**2 - 2*f**2*p*s + 3*f*o*p**2*s - 6*f*o*p**2 + f*o + f*p*s wrt f.\nAnswer: -2*o*p + 40*p**2 - 4*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 6*q**2 + 12*q - 24. Let y(d) = -d**2 + 10*d - 11. Let l be y(7). Let p be w(l). Suppose -2*s + 266 = -p. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 106*s - 52*s = 52*s - 9, 26 = -5*s + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9876, 9840, 9772, 9666, 9516?\n\"Answer: -j**3 - 10*j**2 + j + 9886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v - v + 0*v)*(30*v - 56*v + 23*v + 35*v) to the form d*v + y + j*v**2 and give j.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 - (-69 + 74).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -31. Which is the closest to r? (a) 2 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**27*s*s**(2\/111))**(-6))**7 assuming s is positive.\nAnswer: s**(-43540\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17\/275 + 3\/25. Which is the closest to -0.3? (a) p (b) -3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 5*y - 3*t, 96205*t - 96203*t = 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 6*f**2 - f - 2. Give g(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 h, and 2 w when four letters picked without replacement from {j: 3, r: 1, v: 1, w: 4, h: 4, u: 4}.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 1981\/113, -13 in decreasing order.\nAnswer: 1981\/113, -0.02, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**2 + 2*y. Let l be r(-2). Let s = l - 6. Is 20 a factor of (0 - s*-2)*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 15, z: 3}. Give prob of picking 1 z and 2 b.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 826896470 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -500*z - 10057. What is q(-19)?\nAnswer: -557","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -11*q - 8. Let s(d) = 0*d**2 - d**2 + d**2 + d**2. Calculate t(s(y)).\nAnswer: -11*y**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31410 - 0.2.\nAnswer: -31410.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2107\/828 + -132\/23. Let f = -1763994008180021\/98088 + 17983790154. Let i = 2\/4087 - f. Find the common denominator of p and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -280, -9, -2, 16.\nAnswer: -280, -9, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/9)\/((k**(-6)\/k*k)\/k))**(-8\/3) assuming k is positive.\nAnswer: k**(-536\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-195)\/39*3\/(-5). Sort i, -5, -46.\nAnswer: -46, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3.46 (b) 0.13 (c) 3 (d) 2 (e) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - (23 - 47)) + -14 + -1.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.163 - 0.1. Let f = n + 0.047. Let s = f - 0.07. Which is the nearest to -3? (a) 3\/5 (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*v - 28, 6*c - 2*c = -3*v + 21. Calculate the highest common factor of 14 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z - 3. Let c = 568 - 286. Let w = 277 - c. What is b(w)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s - 27*s + 3*s)*(5 - 2 - 4)*((-s + s - s)*(-4 - 4 - 9) + s + 3*s - s).\nAnswer: 320*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-174)\/11 - 18*(-27)\/(-2673)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 1\/2 (b) 0.8 (c) 5 (d) 1 (e) -2615\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2157*h**3*n**4 + 147*h**3*n + h*n**6 - 200*n**2 wrt n?\nAnswer: 51768*h**3*n + 120*h*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 v, 1 g, and 1 b when four letters picked without replacement from vkgbyysg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -364 - -365. Suppose -3*w + 10 = 2*p, -p - 2 + 4 = 0. Solve -k + f = 0, w*v - 2*k - 1 = -3*k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1556 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524 is divided by 36.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 4*y**2 + 4726836*y = 0.\nAnswer: -1181709, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*w - 60*w**2 + 10*w**2 + 0*w**4 + 35*w**2 + 2*w**4 in the form t*w**4 + r*w**3 + v*w**2 + j + l*w and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 2. Suppose c + 7 = -2*y, 4*c - 6*c - 12 = 2*y. What is the remainder when 45 is divided by l(c)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/45876 and 119\/1422156.\nAnswer: 1422156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6494 divided by -45346\nAnswer: 3247\/22673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*v + 219 = 568 - 6459 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**2 + f**3 + f**2 + f + 2*f**2 + 38. Is 19 a factor of v(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.54 + -6.84. Let r = 6 + q. What is the second smallest value in 2, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, z: 1, r: 2, g: 2, d: 1, m: 2}. Give prob of sequence mr.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1232 and 56.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*f - f - 4*o, 2*f - 2*o = 0. Let i be (f\/(-3))\/(-2 - -1). What is the least common multiple of 2 and 0\/i + 23 - 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w - 1. Let v be r(-3). Let m = 0.13 + -0.14. Let x = -53 + 54. What is the closest to x in 1\/10, v, m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 0.5, 2, 3, 342.2, -3\/119?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3 + 3)\/(-2))\/2. Let m(a) be the first derivative of 0*a**4 + s*a + 0*a**2 - 1\/15*a**5 - 2 + 0*a**3. What is x in m(x) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 7. Let h be f(-9). Suppose -h*d = 4*w, 2*w + 3*w = 3*d + 11. Let b(p) = -4*p + 0*p + p**2 + 3*p. What is b(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**4\/12 - 16*m - 21. Let n(d) = -5*d**2 - 3*d + 8. Determine n(s(l)).\nAnswer: -5*l**4 - 3*l**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2701*u**3 + 6*u**2 + 1451*u**3 - 613*u**3 - 6*u**2.\nAnswer: 3539*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 + h - h + (2*h - 2*h - 2*h)*(-3*h + 2*h - h) + 3*h - 10*h**2 + 0*h + 14*h**2 in the form y + q*h**2 + d*h and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*w - 15*w + 8370. What is the remainder when 2038 is divided by w?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b - 9*b + 23 + 49 - 22.\nAnswer: -b + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 1:44 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 6. Solve 3*o = j*a - 8, 3*a + 3*o - 19 = 2*o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3740*j - 2785*j - 19100 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71943 + -27542. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694400.\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 4. Let l be s + -1*4 + -199998. What is l rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-2 + 0 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 v, and 1 z when four letters picked without replacement from izfffivvfff.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-753)\/(-1757) - (-100)\/(-364).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.20315kg to tonnes.\nAnswer: 0.09120315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2. Let u(t) = 14*t**2 + 12*t + 16. Let c(o) = -12*r(o) + u(o). Factor c(k).\nAnswer: 2*(k + 2)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**1)\/a*a**(2\/33)*a)\/(((a\/a**(-3))\/a)\/a**(-2)))**49 assuming a is positive.\nAnswer: a**(-4753\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 70 + q**4 - 6*q**4 - 65*q**2 + 1665*q**3 - 1710*q**3 + 45*q = 0. What is q?\nAnswer: -7, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6043800 and 342482.\nAnswer: 102744600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 0 + 5 = 5*n + 27 + 15, 0 = 3*n + 5*p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.922 + -12.18. What is g rounded to 2 decimal places?\nAnswer: 1.74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -31*y - 2. Calculate a(3).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*t + 10385 = 32616. What is the greatest common factor of t and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36\/11 - -615\/77. Suppose 6*l - 13 - 11 = 0. Suppose -2*g = -4, -l*q + 2*g + g = -14. Is i greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 414098282 to the nearest integer?\nAnswer: 20349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -224, -380, -598, -878, -1220, -1624, -2090?\nAnswer: -2618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59386?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 317258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 5*w + 3. Let v be g(5). Solve 5*p - 4*p - 5 = 4*y, -v*y - 3*p + 15 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-179)\/(-4) - (-2)\/8. Suppose -5*i = 10 - t. What is the remainder when 12 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 2*z + 2*z)*(0*z**2 + 0*z**2 - z**2) - 5*z**3 + 7*z**3 + z**3 + (4*z**3 + z**3 - 3*z**3)*(-2 + 3 - 2).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*q - 495 = 0, -3*o = -4*o + q - 249. What are the prime factors of (-75)\/o - 19491\/(-30)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44919 and 8310?\nAnswer: 124425630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6*d**2 - 7*d + 2. Let z be a(6). Suppose 2*g = 5*o + 73 + z, 5*o = 5*g - 600. Let l = 340 - g. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y + 2*y**3 + 3*y**3 - 3*y - 8*y**3 wrt y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + 4*u + 0*u)*(-1811 - 115 + 10098) + (0*u + 3*u - 2*u)*(-1 + 0 + 3) - 3*u + 8*u - 3*u - 4*u - u + 3*u to i + b*u and give b.\nAnswer: 16346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2934284, 2934290, 2934296, 2934302, 2934308?\nAnswer: 2934314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9561.\nAnswer: 3, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2992 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1520041 is divided by 1706?\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*r**3 - 30*r**3 - 14*r**3 - 17*r**3.\nAnswer: -105*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 205 - 201. Solve -3*r = a*l - 4 - 10, -4*r + 4*l = 28 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -107988 by 26997.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide (1 - (-11)\/(-13)) + 13712\/104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 225271236*v**3 - 235*v**2 + 29213*v wrt v.\nAnswer: 1351627416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -82963*g. Let w(t) = t. What is h(w(c))?\nAnswer: -82963*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 3 + 3*h - 2*h - 7*h. What is the remainder when n(-2) is divided by 36\/8 + (-7)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38723 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: Expand (-2*g + 15*g - 8*g)*(0*g + g + g)*(-1 + 3 - 4)*(0 - 3 - 2).\nAnswer: 100*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20\/(-15))\/4 - (-6)\/18. Solve -12 = -3*f - r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -291.775 + 286.5. What is q rounded to one decimal place?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 0*i**2 - 8*i + 3*i**2 + 0*i**2 + 0*i**2. Let g be k(6). Differentiate 59 + 3*t**2 - g - t**2 wrt t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.5 - 1.5. Let p = 8.1 - 10. Let y = p + m. Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 + -10 + 50 + 9?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.64 (b) -2\/7 (c) -3\/4 (d) 0.05926 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3018, -0.2, -8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11718660797 + -11718605827.30037. Let j = -54969 + q. Let f = 0.7 - j. What is f rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 12:11 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**5\/60 + 2*g**4\/3 - 23*g**3\/6 + 125*g**2. Determine i(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + 35014?\nAnswer: 35025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q**2. Let f(k) = 4*k + 11. Let x(j) = -2*j - 6. Let m(h) = 6*f(h) + 11*x(h). Calculate m(d(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2.2*1.04\nAnswer: -2.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 + 126. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -150, 0?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2*o - 5*o + 19, o + 3 = -3*b. Let f = o + 162. Suppose -4*c + 269 = 3*i, -i = -3*i - c + f. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 5. Suppose -28 = -16*t + 12*t. Let p be v(t). Let o be (-25 - p)*1*-1. Solve 4*s = -5*i + 5, 3*s - 3*i - o = i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 6*a + 6, -3*a + 2*a = -n + 3. Let y(k) be the first derivative of k**4\/4 - 4*k**3\/3 + 4*k + 1. Give y(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 3, 0.3, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 478, 433, 358, 253, 118, -47, -242?\n\"Answer: -15*y**2 + 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-600 + 56*m**2 + 600)*(-24*m**2 + 84*m - 84*m) in the form b*m**2 + y*m**3 + v + q*m + t*m**4 and give t.\nAnswer: -1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7123815 to the power of 1\/2, to the nearest integer?\nAnswer: 2669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (11 - 7) + 13*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38.8 + 39. What is the biggest value in -1.2, r, -2\/5, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/21530 and -65\/353092?\nAnswer: 1765460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 4. Let a(k) = -k**3 + k**2 + 2*k + 2. Let n be a(-2). Let c be (8\/n)\/((-6)\/15). Calculate the smallest common multiple of 22 and b(c).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3679, 7385, 11121, 14881, 18659?\n\"Answer: -j**3 + 21*j**2 + 3650*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 10*o + 20. Let l(f) = -f**3. Let c be l(2). Let q be y(c). Solve -q = -t + 5*t, -5*r = -4*t - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**5\/2 + 346*h**2 - h. Let a(r) = 0 + 0 - 2*r. What is a(x(c))?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15581945, -15581835, -15581661, -15581429, -15581145, -15580815?\nAnswer: -15580445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/((-60)\/(-360))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**2 + 132100*o = 0.\nAnswer: -26420, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60 - 14) + -41 - ((-4 - -2) + -7).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssssssxssas. What is prob of sequence as?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllrrllllllllll. Give prob of sequence rr.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 692*q**2 + 20*q**3 - 1354*q**2 - 37*q**4 + 660*q**2 as f*q**3 + r*q + k + d*q**2 + c*q**4 and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/495 + (-104)\/396.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 0*m**4 + 0*m**2 + 0 - 8*m + 5\/6*m**3 + 2\/5*m**5. What is the second derivative of q(y) wrt y?\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (22 + -6 - 10) - -9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 8 + -19 + 0 + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4798 + 5496. What is the remainder when p is divided by 688?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.401 in -1, 0.1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3075 and 1200.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8008, 15996, 23958, 31900, 39828, 47748, 55666?\nAnswer: 63588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27655 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2076.5426 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 386630.496 microseconds in weeks?\nAnswer: 0.00000063927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 8273276.\nAnswer: 8273276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = m - 5*m - 4*q, -3*m - 4*q = -32. Suppose 2*b - h - 11 - 16 = 0, -m*h + 36 = 4*b. Solve -2*o = 2*o + b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -88*v + 94*v + 6. Let n = -3174\/13 + 244. Which is smaller: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95657388 less than 9?\nAnswer: 95657397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b - 9 + 76*b**2 - 10*b - 6 - 2. Is c(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 116*p**5\/5 - 23*p**4\/2 - 438*p. Find the third derivative of y(d) wrt d.\nAnswer: 2784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**16*z)\/z**(-2\/5))\/(z**(-20)\/z**(-9)) assuming z is positive.\nAnswer: z**(147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 11) in base 14?\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*r - 3309 + 1144 = 0, -6 = -2*r. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35666 by -2098.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r - 3638912*r**2 + 7*r.\nAnswer: -3638912*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11659\/11 - -1061. Determine a, given that m*a**3 + 0 + 8\/11*a**4 + 2\/11*a**5 + 8\/11*a**2 + 2\/11*a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -699 + 2817\/4. What is the common denominator of 99\/16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zabglgbzd. Give prob of sequence bz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 2*w**2 - 11*w - 14. Calculate m(-5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20973, 1, -10, -1, 0 in descending order.\nAnswer: 20973, 1, 0, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1221 is divided by 82?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*x + 40*x = 425. Calculate the remainder when x is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 33082.\nAnswer: -1\/2363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 8:10 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 1:47 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31115 and 245.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -282377\nAnswer: -4\/282377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.35 + -0.15. What is the third smallest value in 2, -1, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21\/44 + 5\/22. Let p be -1 + (46\/(-10))\/(22\/(-5)). Let d = -25\/66 + p. What is the closest to d in -4, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4587 - 9169\/2. Put y, 3, 0.17 in ascending order.\nAnswer: 0.17, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*f - 8*f - 3*f)*(-8 + 8 + 4*f).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4490319 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1+319.5346275322\nAnswer: 318.5346275322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k. Let i(a) be the third derivative of 2*a**3\/3 + a**2. Let z(b) = b + 2. Let m(v) = -2*i(v) + 4*z(v). Determine m(x(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 585452 and 1727936.\nAnswer: 177977408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/13)\/3)\/((110\/(-11))\/(-5))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.7 and -0.4.\nAnswer: 4.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7392000 and 5376.\nAnswer: 7392000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 37*z + 763. Calculate p(-21).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b - 1 + 4*b - 21*b + 7*b. Let o = 3 - 6. Let z(t) = 11*t + 3. Let h(f) = o*z(f) - 5*n(f). What is the derivative of h(k) wrt k?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**5\/35 - 40*z**4\/21 - 18*z**3\/7 - 70*z**2 + 2*z. Find j, given that m(j) = 0.\nAnswer: -1\/3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223380663 is divided by 9257.\nAnswer: 9253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n + 21. Let a(f) = -f + 3. Let z(m) = -27*a(m) + 4*o(m). Let t be z(0). Which is smaller: 2\/3 or t?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.733005 millilitres in litres?\nAnswer: 0.003733005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*x - 170 = 2*d, 4*x + 172 = -4*d. Let g = d - -58. Let w be 36\/10*g\/8. Solve -3*i + w = -0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573)*-2 - sqrt(13))*-3.\nAnswer: 69*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 185, 208, 245, 296, 361, 440?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 8:43 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 108663465 to the power of 1\/2, to the nearest integer?\nAnswer: 10424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*v + 1079418 = 320736, 0 = -5*a - 4*v + 948351. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbbbbbmb. What is prob of sequence bbb?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*g**3 - 330*g**2 + 59*g**2 + 10*g**3 + 271*g**2.\nAnswer: 31*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 83\/3 of a century?\nAnswer: 33200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 7*s. Suppose 5*i - 3 = 4*k + 13, i - 8 = -4*k. Suppose s = 3*n - i*n - 36. What is n rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -402*g - 21718. Calculate h(-54).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112 (base 3) in base 10?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 12.5438 micrograms?\nAnswer: 0.0000125438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 182061 and 1056?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - 274\/6)*-1*231. Suppose 26*t = 37*t - n. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 4 (b) 5504 (c) 5 (d) 0.2 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 3093\nAnswer: 4\/3093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -314549 + 314557. Let f(n) = n + 2. Let u be f(-2). Solve l - 3*v = -u*l - c, -3*v + 13 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + sqrt(55) + sqrt(110)\/sqrt(2)*1 + sqrt(55) - sqrt(55)) + (sqrt(330) + sqrt(330)*-1)\/sqrt(6))\/(4*sqrt(80)*-5).\nAnswer: -3*sqrt(11)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**2 + 524*k - 2032 = 0. Calculate k.\nAnswer: 4, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h**3 + 377*h**2 + 868*h + 4. Let i(m) = -4*m**3 + 377*m**2 + 868*m + 3. Let o(r) = -4*i(r) + 3*u(r). Find the second derivative of o(t) wrt t.\nAnswer: 6*t - 754","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1454, 2925, 4400, 5879, 7362, 8849, 10340?\nAnswer: 11835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(sqrt(5) + sqrt(30)\/(sqrt(96) - sqrt(6))))\/((sqrt(24)\/(2*sqrt(4)) + sqrt(6))*5).\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4141, -8293, -12445, -16597, -20749, -24901?\n\"Answer: -4152*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/13 - 4022*h\/13 + 8036\/13.\nAnswer: 2*(h - 2009)*(h - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -35 - ((5 - (-1 + 0)) + -9 + -1)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -3, -0.79, -15984.\nAnswer: -15984, -3, -0.79, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-20) + (-144)\/(-30). Solve -1 = -b*i + 14 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/7*63\/(-2700) and -47\/45.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00024981966 rounded to five dps?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385 is divided by 82?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/20)\/(4*(-1)\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from cqcaaaaaaccbcaaa.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 5*d - 75, d + 0*d - 105 = -5*x. Calculate the remainder when 37 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*x + 2*x - 833. Let k be 2\/4 - (-246)\/4. Let r = k - x. What is the remainder when 31 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 - -120. Let k = -17 + f. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13\/23553 or 33\/8?\nAnswer: 33\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1)*(-2)\/20?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 44 = 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.482263557 to 2 decimal places.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/40*4)\/(12\/120).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3362 = -c + 8*w + 3390, 8*c - 174 = -w + 50 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-148*n - 342*n - 1 + 1)*(-3*n - n + 0*n).\nAnswer: 1960*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -20 - -20 - 10\/8. Let f = -225 + 1571\/7. Let u = -0.22 + 0.62. What is the closest to 0.11 in b, f, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -3*x + 30, -79*x - 17*r + 360 = -78*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -44*l**2 + l + 1. Let b be z(-1). Suppose 3*q + 27 = -50*g + 49*g, -5*q - 195 = 5*g. Are g and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4857.544 litres in millilitres?\nAnswer: 4857544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**8)\/(b\/(b*b\/((b**(-6)*b)\/b))*b))**(-42) assuming b is positive.\nAnswer: b**(-630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/(35 + -38)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -693163317*l**6 + 197935265*l**2 + 3?\nAnswer: -83179598040*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26052 (base 8) to base 9.\nAnswer: -16452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4 - 832*n**3 + 836*n**2.\nAnswer: -4*n**2*(n - 1)*(n + 209)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + 266\/(-42))\/((-3)\/(-117)*-1). Solve 61*j = k*j + 240 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1608\/(-273) - -6) + (4845\/798)\/(-85)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 16*r - 71. Determine y(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84 + 88. Suppose -5*k = 5*k + 10. Sort -3, s, 5, k in increasing order.\nAnswer: -3, k, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -3. Let y = 1 - 0.8. Let o = -0.8 - y. Which is the closest to o? (a) -3 (b) -1\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 7 = -4. Suppose 0 = 3*q + 2*i - 34, -f*q - 3*i - 11 = -50. Calculate the greatest common divisor of 5 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**5\/20 + g**4\/4 + g**2 - 5*g. Let p be m(3). Solve 2 = 3*n - 1, 4*z + 10 = p*n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 8*i**2 - 8*i - 2. Let k be g(9). Let x(n) = -328570*n - 10. Let o be x(k). What is o rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 9. Let a(b) = b**2 - 8. Let z(r) = -6*a(r) + 5*p(r). Let d be 34 + -12 + 11 + (-3)\/(-1). Suppose -y = 11*y - d. What is z(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 28. Let f be m(20). Suppose -127 - f = -n. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 2\/3*k**3 + 1\/4*k**4 + 3*k - 8 - 5\/2*k**2. Does 22 divide o(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 114391 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374794203.\nAnswer: 3, 7, 269, 66347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -13 (b) 8 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 1381 = y, -y - 2*y = 3*d - 4143. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from iykvkiiir?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 403150 and 154.\nAnswer: 2822050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*f - 10*f + 4*f - 6*f in the form l*f + s and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y + 2*y - 471*y**2 - 3*y**3 + 2*y**4 + 473*y**2 as u + q*y**2 + h*y + a*y**3 + r*y**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18705460?\nAnswer: 2, 5, 149, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.87 + -1.07. Let s = -81 + 43. Let p = s + 37.7. What is the smallest value in -1\/2, b, 0.5, p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 6:53 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 303 - 183. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -804 by 28.\nAnswer: -201\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + 4*sqrt(162) + sqrt(162) + sqrt(162) + 1*sqrt(162)*2)**2.\nAnswer: -288*sqrt(2) + 10372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/542? (a) -0.4 (b) 0 (c) -149 (d) -2 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -27. Let w be -3*(-5 - -2*1). Let i be (-2)\/(-6) - 3\/w. Solve -3*f - q = -15, -d*f + 3*q + 3 + 0 = i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3 + (-14)\/(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*3*(sqrt(19) + -2*sqrt(684)) - (sqrt(114) + (sqrt(114) - (2*sqrt(114)*-6 + sqrt(114))))\/((sqrt(60)*3)\/sqrt(10)))**2.\nAnswer: 845899\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -382 + 387. Solve -3*k = a*q + 14, 2*k + 11 = -q - 4*q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*i + 42*i - 80. Suppose -i*l = -8*l - 24. Suppose 4*w - 4*a + 15664 = 0, 0 = l*w + 2*a - 3*a + 11756. Round w to the nearest one hundred.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + 17b3?\nAnswer: 17ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-789)\/(-15) + 68\/20 + -4. Find the second derivative of -263*s + 106 - 53 - q + 223*s**5 wrt s.\nAnswer: 4460*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/4 - 333*s**2 + 3*s\/4 + 333.\nAnswer: -3*(s - 1)*(s + 1)*(s + 444)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12119447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*o - 2*o**2 + 23*o + 9*o)*(878 + 6*o - 878)*(-3 + 5 - 1).\nAnswer: -12*o**3 + 102*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 16. Let r = q + 6. Let f be (-4)\/138*(2 + 1). What is the nearest to -0.2 in 0, f, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(0 + 2 + 0)*(-3*s - 1 + 1)*(0 + 0 - 2) + (-s - s + s)*(4 - 2 + 5).\nAnswer: 17*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2727 + 39997 = 4*d. Is d a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 67760.5 milliseconds?\nAnswer: 67760500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28068, 53598, 79126, 104652, 130176, 155698?\n\"Answer: -p**2 + 25533*p + 2536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91062784963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-60)\/200*(262450\/312)\/(-5). Let d = w - 405\/8. Are -20\/3 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228 and 3819.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 61 - 195 = -3*p, 5*l + 2*p = 254. Suppose -5*h + 4*h = -3*q + 22, -5*q = h - l. Suppose v + 3*d - q = -2, 3*v - 27 = -3*d. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1066*h - 4*h**3 + 485 - 185*h + 6*h**3 - 487 - 5*h**3.\nAnswer: -3*h**3 + 881*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*m - 14, m + 11 = -3*q + 6*q. Let d(c) = q*c + c - 2*c - 4. Determine d(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19348?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*b**2*k**3*m + 2*b**2*k**2*m - 2*b**2*k**2 - 3*b*k*m + 8*k**3*m - k**3 + 4*k wrt k?\nAnswer: 60*b**2*m + 48*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 14 - 40. Suppose 7*o - o = b. Suppose 0*m = -5*m + o*l + 544, -5*l = 2*m - 230. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c + 2*c**3)*(-4*c + c + c)*(-7 - 8 + 1) + 3*c**3 - 2*c**4 - 3*c**3.\nAnswer: 54*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/54 of a day in seconds?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-136)\/102*-66 + -1?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53247 is divided by 142.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.9124 to the nearest integer.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0336136996 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4000, 3844, 3412, 2566, 1168, -920?\nAnswer: -3836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + -1*2*sqrt(15))\/(sqrt(144)\/sqrt(3)).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 98*p + 1 - 6 - 105*p. Let d be (-92)\/(-16) + 6\/(-8). Let l(t) = 3*t + 2. Let c(h) = d*l(h) + 2*f(h). Let y(i) = 6*i. Give y(c(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5020, 5026, 5028, 5026, 5020, 5010?\nAnswer: 4996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 428875760 by 195655.\nAnswer: 2192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 37 - 13*x)*(12*x**2 + 5*x**2 + 47 - 15*x**2) + 1 - 2*x**3 - 1.\nAnswer: -28*x**3 - 611*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 61083, 61102, 61131, 61170, 61219, 61278?\n\"Answer: 5*n**2 + 4*n + 61074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 16*a + 41. Give n(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -644*c + 10. Let a be x(-1). Let d = a - 355. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 1. Let p(o) = -3*o - 5. Let j(b) = -2*d(b) - p(b). Calculate the lowest common multiple of 1 and j(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43de49 (base 16) to base 9\nAnswer: -8328228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccc. What is prob of picking 3 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2 = x. Let k = -3.0735 + 19.0735. Which is the third biggest value? (a) k (b) x (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -42. Suppose -2*w - 2*u + 2 = 0, 2*u - 6*u = -4*w + f. Suppose 5*r = -w*p - 10, 2*p - 11 + 1 = 5*r. Solve p*o = o - 3, 0 = -c - 2*o + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 39*b**3 - 2*b**2 - b - 2. Let y(d) = -118*d**3 + 6*d**2 + 4*d + 7. Calculate 7*q(n) + 2*y(n).\nAnswer: 37*n**3 - 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.068*150\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -4) + (3 - 1) + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = z - 4*u - 16, u + 6 = -2*z. Let l(y) = y + 2*y**3 - 2 - 5*y - 8*y**3 - y. Let v be l(z). Calculate the highest common factor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -208 + -617792420211\nAnswer: -617792420419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k**2 + 5*k + 2. Let g(p) = 3*p**2 + 2*p + 1. Suppose -5*l - 32 = -4*u, -3*l - 4 - 11 = -u. Let n = 11 - 1. Determine l*o(z) + n*g(z).\nAnswer: 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2621422 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-2)*(-12)\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 18. Calculate the smallest common multiple of y and 21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 32.93, -3, 2\/5, 4?\nAnswer: 32.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 6*j + 5. Let l be h(-5). Let v = 3 + -1. Suppose v*p + l = 4. Let s(w) = 2*w**2 - 4*w + 3. Calculate s(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/45090 and -55\/1002.\nAnswer: 45090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-10 - (6 - (23 + -9))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 33. Let q be (61 - 0) + 7\/(-14)*-8. Suppose -5*b - q = 5*c, -b + 5*b + 4 = 0. Let d be i(c). What is the smallest value in 5, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 2*j + 4*j)*(4 - 2 + 1) - 2*j + 3*j - 2*j + 1286*j + 611*j - 475*j.\nAnswer: 1424*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o + 7 - 5 - 1. What is the units digit of w(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1616, 3442, 5268, 7094?\nAnswer: 8920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0 - 6 = 0. Let z be (-2)\/4*(-2 - o). Let r(f) = -f - f + z*f. Let h(c) = -2*c. Give h(r(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/4*(-24)\/(-60). Let b = -5 + 8. Suppose -b*g + u*c + 7 = 2*c, -c = -5*g + 15. Solve 0 = 4*p - 4*h, 3 = -g*h - 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -485162 - -485164. Factor -1472\/3*i - 512\/3 - r*i**3 + 190\/3*i**2.\nAnswer: -2*(i - 16)**2*(3*i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-40) - (-15)\/(-10). Which is the biggest value? (a) k (b) 2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3853147, -28, -4.\nAnswer: -3853147, -28, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84 + -83.5. Let d = 0.1 - 0.5. Which is the biggest value? (a) d (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(-2 - 0 - -3). Suppose l = -b - b + 8. Is -34*b\/(2 - 10) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18197730 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-77)\/(-14) + -7)*((-1302)\/(-36) - 77\/(-66))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -3, -224 in decreasing order.\nAnswer: -3, -22, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -698534 (base 10) in base 7?\nAnswer: -5636354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -3. Suppose r*j + 5 - 2 = 0. Let s be -1 + 4 + (-60)\/12. Sort 0, j, s.\nAnswer: s, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 + -38. Let m(a) = -a + 11. Let v(d) = -6. Let l(z) = -6*m(z) - 11*v(z). Is 6 a factor of l(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*(((-4*sqrt(272)*-2 - -4*(sqrt(272) + sqrt(272)*1)) + 3)**2 + 2).\nAnswer: -278572 - 1536*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 8*z**2 - 12*z - 28. What is the tens digit of f(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13008114 and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = -9*v + 28*v. Let g(w) = w + 6. Let f be g(-4). Let r = f - -12. Calculate the highest common divisor of r and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 0*d**2 + 3*d + 10 + 3*d + 9*d**3 + 6*d**2 - 8*d**3. Let x be z(-5). Suppose 4*r - 2736 = 4*t, -2*t + t - x = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26\/171 + 4\/57. Let 0*f - 2\/9 + z*f**2 = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -941 in -239, 2\/11, -5, -1, 0.4?\nAnswer: -239","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -0.1. Let d = 0.6 + -5.6. Which is the nearest to 1\/4? (a) -2\/3 (b) m (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g**(-2\/3))\/g*g*g**(-2\/5)*((g\/g**12)\/g)\/g**12)**(-44) assuming g is positive.\nAnswer: g**(15224\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1061111*z - 2845516 with respect to z.\nAnswer: 1061111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 19 + 12*z**2 - 5*z**2)*(8 + 12 + 3*z**2 - 18).\nAnswer: 21*z**4 + 17*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -392 - -751\/2. What is the common denominator of (3 + (1 - 9))\/(-20 - -2) and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*y - 72. Suppose 15*w = 168 + 27. Let r be (-80)\/(-13) + 0 + (-2)\/w. Calculate the greatest common divisor of y and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52024\/140 - 4\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -72?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10261?\nAnswer: 31, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, i: 1, s: 1, c: 2}. What is prob of picking 1 w, 1 i, and 1 c?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - -4)\/(78\/(-52)). Let h(u) = 13 + 11*u + 4*u**2 + 0*u**2 + 2*u**2. Let o(a) = 3*a**2 + 5*a + 6. Give v*h(g) + 13*o(g).\nAnswer: 3*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-40451 - 157*h**2 + 40451)*(-h**2 - h + h) - 3*h + 3*h**4 + 3*h)*(-4 + 2 + 0).\nAnswer: -320*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -3 - 45\/10)*-10. Let k be (-9)\/((-18)\/2024)*y. Round k to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.607 and -0.08.\nAnswer: 0.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1658 and 3.63?\nAnswer: 1661.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/174771312 and -37\/18?\nAnswer: 524313936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/18 - 228\/(-285)*15\/(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/6 - 8\/(-12). Let j be s + 3 - (-5 - 0). Suppose -j*p = -5*p - 2. Solve -2*v - w = -p, -8 = -v - 0*v - 4*w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 9*w**4\/8 + 7*w**3\/6 + 65*w**2 - w - 3. Let t(s) = -13*s - 3. What is 6*c(h) + 13*t(h)?\nAnswer: -7*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16\/13 in -8\/5, -1\/2, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x - 32 = 24*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15572)\/(-4122))\/(4\/36).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/30080 + 1488953\/210560. Let k be (6 - -3)\/3 + -5. Find the common denominator of (2*k\/(-16))\/2 and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ux when two letters picked without replacement from {x: 4, s: 1, u: 1, m: 1, z: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 23*g**2 - 11*g + 19. Is c(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/4 - 539295*a - 290839097025.\nAnswer: -(a + 1078590)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 32 = 7*k - 92 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -264*z - 1328. Determine i(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - 0.8. Let w = 175\/3 + -58. What is the nearest to 2\/5 in w, k, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*u + 293*u = -433*u - 14*u + 772 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnf when three letters picked without replacement from fffnffffffnnfffnffff.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -311, -3\/10, -42?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 702214293076 + -0.3\nAnswer: 702214293075.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 0 (c) -3 (d) 49 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2864260152.75414315 - 36.24585685. Let b = y - -2864260254.00000124. Let z = -65 + b. What is z rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 499, 495, 491?\n\"Answer: -4*b + 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 19 = 2*d, 4*z - 3*d = 7*z + 6. Solve -4*q - 3*u + 4 = -2*q, 0 = z*u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7200)*-1 - sqrt(50))\/(sqrt(110)\/sqrt(99)) + (sqrt(245) - (-2 + sqrt(245) + -3 + sqrt(245))) + 5.\nAnswer: -46*sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280416609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248499?\nAnswer: 3, 27611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 322 + 42. Let o = v - -54. What is the units digit of (-3)\/o + 108\/8 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(12) + 4*sqrt(12)*1))\/((sqrt(1280) - (sqrt(1280) - (sqrt(1280) - sqrt(1280)*-2)))\/sqrt(2)).\nAnswer: sqrt(2)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -163 + 211. Calculate the highest common factor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/1666404 and 109\/1666404.\nAnswer: 1666404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u + 1 - 4 - 5*u + 15*u - 3*u. Give i(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1559\/2 - 779. Do 501 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -14920*c - 178969. Give d(-12).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -5*j**4\/12 - j**3\/6 + j**2 + j. Let c be h(1). What is the biggest value in -0.2, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 + 673553*o + 10*o**3 + o**2 - 673406*o + 0*o**2 in the form d + a*o + j*o**3 + b*o**2 and give a.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5272 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -490 - 1.05\nAnswer: -491.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.4 + 1.4. Which is the nearest to 1? (a) 0.5 (b) 3\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 258*x - 54 = -256*x, -2*z - 2*x - 46 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(1\/29)*u*u\/(u*u**27*u) assuming u is positive.\nAnswer: u**(-753\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 3*u - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**5\/8 - 151*c**4\/4 - 1197*c**3\/2 + 8093*c**2\/4 - 16795*c\/8 + 1425\/2 = 0.\nAnswer: -285, -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**3\/3 - 2*q**2 + 2*q + 5. Let t be x(3). Let y = 21 - t. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2 + (-15)\/(-6). Suppose 2 + 8 = t*b. Let i = b - 2. Put -1, -2, i in decreasing order.\nAnswer: i, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*15.6\nAnswer: -0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 29, -5, -1, -1\/15 in decreasing order.\nAnswer: 29, 2\/3, -1\/15, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (1 + -2)) + (-744)\/(-192)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 42 = 2*o. Suppose -j + y = o, -3*y + 9 = -6. Let l = 31 + j. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j + 32. Let y be h(-8). Which is the closest to y? (a) -1\/8 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 4*a**2 + 3*a + 3. Let i = -96 - -99. Let w be b(i). Suppose -w*m + 4*j = -m, 5*m - 2*j = 16. Solve m*f = 3*f - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l + 0*l - l. Suppose 0 = -4*x + 7*x - 45. Let r(g) = g + 15 - x. Determine -2*f(o) + 3*r(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143526182?\nAnswer: 2, 37, 1939543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*d = -49*d. Suppose d = 5*x + 5*x - 2900. Does 29 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -365*l**2 - 15*l + 15. Let f(r) = -52*r**2 - 2*r + 2. Let u(x) = -15*f(x) + 2*y(x). Let m(v) = 2*v. Give u(m(i)).\nAnswer: 200*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -834 - -14817?\nAnswer: 13873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -2.3238\nAnswer: 2.3238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 13 - 12 = 0. What is the remainder when 11 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = h, -9*g + 7*g = h - 130. Calculate the greatest common divisor of 147 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-18)*(-6)\/2. Let f be m - (-2 + -4) - -3. Solve 4 = -5*y + 4*w, 4*y + 3*w + f + 18 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6074419, 12148833, 18223247, 24297661, 30372075, 36446489?\n\"Answer: 6074414*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((-1 + sqrt(275))*2)**2*-6 - 4*(-1 + sqrt(396) - (-2*sqrt(99))\/sqrt(9))) + -5.\nAnswer: -6623 + 208*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = p - 2*d - 386, -4*p - d = -1529. Is 72 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 - 16 - 5)*(0 - 2 - 3) - 4 + 0 + 6)*(-10*y + 2*y + 4*y) in the form b*y + j and give b.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, x: 3, m: 1, p: 1}. Give prob of sequence xx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x + 0*x - 2*x**3 + (-2*x**2 - 3*x**2 + 3*x**2)*(-2*x + x - 2*x) + x - x - 3*x**3 as k*x + p + q*x**2 + w*x**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1432 is divided by 142.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0298677 to 3 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/43 in -6\/11, -1, 0.2, 46\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10220133313 (base 4) in base 11?\nAnswer: 75a490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -110 divided by -88\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + 2 - 3) + (-233 - -212)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -10466662*o + 9. Let m be a(-3). Suppose t - 5*i = 3*t + m, -4*i - 15699996 = t. What is t rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/39 and -56\/729?\nAnswer: 9477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/3)*n)**12*(n*n\/(n**(-2\/5)\/n)*n)\/(n*n\/((n*n\/((n*n\/n**(-4\/3))\/n*n)*n)\/n)) assuming n is positive.\nAnswer: n**(316\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -333\/2 in 3, -1293, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13227*q + 13197*q - 150 - 150 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 540 and 225.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 490 = 5*o - 340. Suppose -3*d - 19 + o = 0. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 6, 0*y - y - 5*c = -11. Let b(w) be the first derivative of w**2 - w + 5. Give b(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 858?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 390353*-36.\nAnswer: -14052708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12331864 divided by -8\nAnswer: 1541483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-1))\/18 - 11\/66. Let c(d) = 16*d**2 + 6*d + 2. Let n be c(5). Suppose m*f + n = 6*f. Is f a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 23*f + 26*f = -60, -2*f = -z + 17 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192, 193, 194, 195?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -12*j - 3 + 35804*j**2 + 6697*j**2 + 11. Let p be m(6). Round p to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 - -76 - (1828\/122 - -2).\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 375 divide 3347625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 6 = 12. Solve -k*w = -6, -2*j - 2*w + 3 + 11 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72*0.5.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -701*u - 10*u**2 - 702*u + 1403*u.\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 3:02 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/7 and -41\/6330.\nAnswer: 44310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**3 + 51*c**2 + 90*c - 4. Let n(k) = -5*k**3 - 50*k**2 - 90*k + 5. Let u(m) = -4*n(m) - 5*x(m). Factor u(z).\nAnswer: -5*z*(z + 2)*(z + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/34 - 4608\/(-2448)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5640 = -258*b + 243*b. Suppose 3*n = f + 3*f + b, -3*n - 2*f + 352 = 0. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 plus -2155?\nAnswer: -2162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2709*f + 145120 = -436*f + 1355*f for f.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710138450 a multiple of 586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.196 and 0.06.\nAnswer: -0.01176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*v = -5*g - 58*v + 216902, 4*v + 173536 = 4*g. List the prime factors of g.\nAnswer: 13, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 914*f**2 + 4*f - 291. Let g(v) = 3662*v**2 + 18*v - 1164. Let u(p) = 9*b(p) - 2*g(p). What is the derivative of u(h) wrt h?\nAnswer: 1804*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5611673 months in decades?\nAnswer: 0.0130097275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -291 + 443. What is the greatest common divisor of 19 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4299308, 4299310, 4299314, 4299320, 4299328, 4299338?\n\"Answer: z**2 - z + 4299308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/(-15)*(-1*6 - -3). Let b be (-2 - (a - 6)) + 0. Suppose -5*x + 77 - 7 = b. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvxxxvxvvx. Give prob of sequence vx.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5420*a**3*f**3 + 2*a**3*f**2 - 1505*a**3 - a**2*f**2 - 35*a**2*f - 2*a**2 - 15*a*f**2 + 5446*f**3 wrt f?\nAnswer: 32520*a**3 + 32676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48185 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -118 - -78. Let v = i - -39.999977. What is v rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/28 - (-1 + 14\/21). What is the nearest to 7 in -4, 5, -0.03, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (-9 + -20)) + -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 860861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3966 (base 15) to base 4.\nAnswer: -2333112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**4\/6 - y**3 - y**2 - 678*y - 2. Let s(x) = 10*x**2 - 29*x - 11. Calculate -11*m(v) + 2*s(v).\nAnswer: -2*v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 9:15 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 549 and 305?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 84 = -2*p, -64 = 4*p + l - 242. What is the remainder when p is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14a15a7 (base 13) to base 4\nAnswer: -121023201002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 563.7047us?\nAnswer: 0.0005637047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3 + 3*y - 2*y - 4. Let w = 127 - 139. Let b be 2*(-3 - 66\/w). Determine z(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -449.998986 + 450. What is k rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 4*s**2 + 4*s - 2. What is the lowest common multiple of 4 and d(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - 8*c**3 + c**2)*(2*c - 4*c + 0*c + (2*c - 2 + 2)*(-4 + 2 + 0)).\nAnswer: 48*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1307428 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 725, 3759, 8801, 15839, 24861, 35855, 48809?\nAnswer: 63711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -105 + 160. Let o be 2\/(-5) + 12452\/s. Suppose 0*l - o = -2*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 2*a**5\/25 + a**4\/10 - 4*a**3\/15 + 2. Solve c(m) = 0 for m.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 103. Let a(j) be the third derivative of -j**4\/6 + 874*j**2. Give a(g(h)).\nAnswer: 4*h - 412","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 94*q**6 + q**3 + 49*q**2 - 2*q - 1. Let j(d) = d**4 - d**3 + 2*d + 1. Let g(r) = h(r) + j(r). Find the third derivative of g(o) wrt o.\nAnswer: 11280*o**3 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3212032222 (base 4) to base 11.\nAnswer: -59455a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4888086477?\nAnswer: 3, 23, 293, 241781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.3 (c) -78 (d) -3\/11 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(-3 - 111\/(-36))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 2*f**2 + 2*f. Let b = -13 + 15. Let z(k) = 1 + 1 + 0 + b*k - k. Let n be z(-3). Let s(u) = -u. Give n*g(y) - 2*s(y).\nAnswer: y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.38 + 0.7. Let n = d - 0.333. What is n rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20564 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*k = -139*k + 480. Let l = k + -136. Suppose 3*q - 66 = -3*p + l, 2*q - 33 = -p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 > 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 10*f + 2. Let q be r(-10). Let l(h) = 6 - 6*h - 1 + q - h**2. What is l(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1\/3, 4, -0.3 in decreasing order.\nAnswer: 4, 1\/3, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 18650\/3413, 1 in increasing order.\nAnswer: 2\/7, 1, 18650\/3413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14283126 a multiple of 429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - i = 6, -2*i + 12 = 3*x - 3. Let y = 22630 - 22629. Solve -x*o - y + 4 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.13 - 0.07. What is the second smallest value in g, -1\/2, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 13 = 10*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 5*s**2 + 8*s - 3. Let t be i(4). Suppose -t = -4*j - 9. Let l be 23\/(j*(-4)\/(-28)). Calculate the highest common factor of l and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2641910.\nAnswer: 2, 5, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o + 43. Calculate w(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d - 3*n = 2428, d - 5*n = 2420. What is d rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*s - 30 = -5*d, -5*s - 20 = 0. Suppose 4*r - d = 18. Solve r*v + 5 = -0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 25. Let y be z(-11). Let i be 46\/36 - 21\/y. What is the closest to i in -3, -0.1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3*g = -0*g + 10, 3*q + 15 = -5*g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**2 - 54*a. Let f(g) = -g**2 - 18*g. Let i(r) = 7*f(r) - 2*t(r). Let y(h) = -5*h**2. What is y(i(n))?\nAnswer: -5*n**4 - 180*n**3 - 1620*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 0*u**2 - 2*u**2 + (2 + 4 - 3)*(2*u**2 - 2*u**2 + u**2) + 0 + u**2 + 0 - u**2 - 2*u**2 + 5*u**2)*(2*u**2 + 5*u - 5*u).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**1*g)\/g*g)\/g**(-1\/16))**31 assuming g is positive.\nAnswer: g**(527\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4014.47059 + -4010.47. Let t = v + -4. What is t rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.06, 7\/5, -1343?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10462, 10458, 10450, 10438, 10422, 10402?\n\"Answer: -2*l**2 + 2*l + 10462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 s when two letters picked without replacement from gscskkkbsggsgcsbkbg.\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10*(-112)\/320)\/(5\/(-4)).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003833 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2270311*j**4 - 996280*j?\nAnswer: 27243732*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -0.3. Let o = -0.29966 - d. Round o to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/8 - (-3 - -2))*0. Suppose c - 24*z - 73 = -20*z, 2*c - 2*z - 152 = s. Calculate the smallest common multiple of 35 and c.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (266*i**2 - 266*i**2 + 40*i**3)*(i**2 + i**2 - 3*i**2).\nAnswer: -40*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*t + 31 = 234 + 517 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 1916640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15197 and 34903?\nAnswer: 3176173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 37.91 and 1160917637.\nAnswer: 1160917674.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -33*y**2\/2 + 3*y + 1759. Let b(d) = -32*d + 2. Give -4*b(z) + 3*m(z).\nAnswer: 29*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3356 - 26843\/8. Suppose -r*x - 1\/2*x**2 - 1\/4 - 1\/8*x**3 = 0. Calculate x.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*s - 16*s**3 - 56*s + 50*s**3 + 28 - 1 + 9 as y*s**2 + k*s**3 + o*s + b and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 2*d + 10 = 0, 5*v - 322*d = -319*d + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*z, 0*z + 4*i - 18 = -z. Suppose -z*r = 5*g - 264, 5*g - 157 = -3*r + 109. Let k = g + 19. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {y: 5, o: 2, h: 3, z: 1, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.293634 decades in months?\nAnswer: 635.23608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sj when two letters picked without replacement from jexisas.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1764 - -31765\/18. Suppose -2*x + 1 + 3 = 0. Calculate the common denominator of j and 31\/20 - x\/(-5).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1566 - 1506. Which is bigger: 421\/7 or d?\nAnswer: 421\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 12 - 24 = -2*q, -5*v - 5 = -5*q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -77 and -183838.7808247?\nAnswer: 183761.7808247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 1 - 2525*k + 4 + 2532*k. Let x(o) = -8*o - 5. Give -6*a(q) - 5*x(q).\nAnswer: -2*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117703690?\nAnswer: 2, 5, 13, 905413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x + 6161 = -11910. Let q = x - -1802. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -8 + 14 + -12 + 15 + -21\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*o + 52, 3*g + 4 = 3*o - 32. Let h be 9\/6 + 135\/o. Is 6 a factor of 280\/h + 2\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*q - 1425*k + 1423*k, -5*k = -5*q + 60. Let r(l) = 2*l**2 - 11*l + 7. Give r(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*(-2 + sqrt(17) + 0).\nAnswer: -7 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38714 is divided by 38704?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2999 + -2988. Calculate the highest common divisor of 33 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 9:28 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 600841731?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4869, 19341, 43543, 77541, 121401?\n\"Answer: 11*w**3 + 4799*w**2 - 2*w + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -8*j. Let a(l) = l. Let m(i) = -6*a(i) - q(i). Let w(p) = 205*p + 42. Let f(c) = 204*c + 35. Let u(n) = -6*f(n) + 5*w(n). Determine u(m(o)).\nAnswer: -398*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14337\/58941)\/(5\/1295).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1725218, 1725219, 1725220, 1725221, 1725222?\n\"Answer: z + 1725217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 193\/60 + -52\/15. Let h = 0.29 + 0.01. Let o = -0.2 + h. Put 1\/4, o, s in decreasing order.\nAnswer: 1\/4, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**4 + 46*v**3 - 806*v**2 + 1250*v + 2100 = 0.\nAnswer: -35, -1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -349 - -476. Suppose -h = -14*p + 13. Calculate the remainder when 39 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n + 15. Let f be r(6). Suppose 97251340 = -f*t - 6548660. Round t to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 960 and 2640.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -11. Sort -4\/3, b, 0.5 in increasing order.\nAnswer: b, -4\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011275516 rounded to five dps?\nAnswer: -0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1. Let t = -5.182 - 0.018. Let j = 5 + t. Which is bigger: j or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-15)\/(p*p**(-9))*(p\/p**(1\/2))\/((p\/p**(-1\/3))\/p))**(-1) assuming p is positive.\nAnswer: p**(41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4 - 423*p**3 - 19881*p**2 - 311469*p.\nAnswer: -3*p*(p + 47)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*k = -2*k, 0 = -5*z + 5*k + 5. Let c = -501 + 504. Let b be 5\/c*(-6)\/(-2). Solve -3*m + z = -b*n, -3*m + 4*m = 2*n + 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 82 + 14. Let q = 24 - p. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81098.24 millilitres in litres?\nAnswer: 81.09824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 0*c + 5. Let x be 1\/(-5) + 19499999\/c. What is x rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 5*k + b - 1600, 5*b = -5*k + 1590. Let x be 16\/6*11*15\/20. Suppose -118*z + 116*z = -x. Calculate the greatest common factor of k and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.79 and 1265.9?\nAnswer: -1000.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 140093166 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*z = 4, 4*z = -c - 12 - 1. Suppose s - c*k + 5 = -s, -5*s + k + 20 = 0. What is the remainder when 12 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/6 + 254\/6)*(2 - 10 - -5)\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30a2 + -3?\nAnswer: -30a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 0)*(-4 + 1 + 0)*((2 + 2 - 3)*(-2 - 2 - 4) - 1 + 3 - 1)*(-2 + 2*x**3 + 2) to m*x**2 + k + a*x**3 + b*x and give a.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/5)\/((-250)\/625)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -79*l + 6223. What is u(79)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (36\/15)\/((-2023)\/(-70)). Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5890)\/285*36\/(-24)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1139*l - 824*l + 684*l as p + o*l and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l = 14*l - 51*l - 442. What is the closest to 10 in l, 4, -6\/7, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -582*y + 140*y + 5 + 139*y + 139*y + 147*y.\nAnswer: -17*y + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 246.\nAnswer: -984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-6) + 2\/7. Let y = -4.3 + 8. Let q = y + -4.1. Which is the second biggest value? (a) k (b) 0.1 (c) -13 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15560 and 760?\nAnswer: 295640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 99*b**2 - 33*b**3 - 150 - 38*b**4 - 15*b - 34*b**4 - 32*b**4 + 107*b**4 = 0.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/4)\/(-1))\/(-2*(-4)\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1066*h + 1055*h = -803. Solve -5*d = 4*w - 22, 0 = d - 4*w - 63 + h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 4*k**2 - 308328*k - 7093660 = 0.\nAnswer: -23, 77105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(288) + 0 + -3)**2.\nAnswer: 48*sqrt(2) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3900 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 at most as big as -2\/66227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.32987*0.1.\nAnswer: -0.032987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -120 - -212. What is the remainder when c is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n = -15*n - 2*w + 34076, -n = -5*w - 16996. List the prime factors of n.\nAnswer: 3, 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 1145 = -1172. Put 5, 13, u, 16 in descending order.\nAnswer: 16, 13, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1428, -5 in descending order.\nAnswer: 1428, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 32, 45, 58, 65, 60, 37?\n\"Answer: -g**3 + 6*g**2 + 2*g + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1534 - -7672\/5. Which is the third biggest value? (a) -4.7 (b) v (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 164?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/231055 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9899 and 19706304.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -416, -1843, -4222, -7553?\nAnswer: -11836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 1\/29, 5, -0.047 in decreasing order.\nAnswer: 5, 1\/29, -0.047, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2885*c**2 + 5772*c**2 + 24356*c**2.\nAnswer: 27243*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 6*l + 57. Let f = 3 - l. Let k = 69 + f. What is the remainder when k is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 times -0.6?\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -202111 (base 3) to base 4\nAnswer: -20221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - 284 + 3*b + 377)*(-691 + 691 + 142*b).\nAnswer: -142*b**2 + 13206*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((-1)\/(-3)*(-6)\/(-8)). What is the lowest common multiple of 18 - (1*p - -4) and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178531.\nAnswer: 178531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-45)\/(-20) - (0 + 3\/12). Solve -5*q = -r*h + 8, -3*q + 2*q + 2*h - 8 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**2 + 46 - 17*q**3 - 1381699*q - q**2 + 1381698*q to the form x*q**2 + f*q**3 + a + k*q and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-38)\/(-4))\/(4\/50). Let a = w + -235\/2. Let x = -14.3 - -14. What is the second biggest value in x, a, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 242292226 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**3 + 57*g**2 + 58*g**2 - 32*g**3 + 48*g**2 - 161*g**2.\nAnswer: -39*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/12*3195\/142.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3684 - 1317 - o - 14822 to the form h + t*o and give h.\nAnswer: -12455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/4 - 24790*p - 614544100.\nAnswer: -(p + 49580)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/11, 1\/3, -1\/6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33897 (base 13) in base 7?\nAnswer: -540216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u. Let b(d) = -7*d - 9. Let o(a) = b(a) + 5*g(a). Let y(p) = -4*p - 3. Let t(x) = 5*x + 4. Let k(j) = -3*t(j) - 4*y(j). Determine o(k(l)).\nAnswer: -2*l - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 2*g + 1. Suppose 6*m + 2 = 8*m. Let o be z(m). Let d(q) be the first derivative of -q**2\/2 + q - 1. What is d(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75 - 48. Find the third derivative of 747 - 747 - 5*s**2 + p*s**4 wrt s.\nAnswer: 648*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -27*j - 15 + 17*j + 13*j. Let o be m(6). Solve 4*v = -9 - 7, 3*p + o*v + 15 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((5 - (1 - 2)) + 10 + 6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 1940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2186 + -1876. What is the lowest common multiple of i and 496?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -115 - 88. Let g = b - -205. Put -7, g, 1\/2 in descending order.\nAnswer: g, 1\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 2\/5, -13826, -0.1?\nAnswer: -13826","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/12*(-93 - -3). Let r = n + -54. 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: Convert 21e (base 16) to base 7.\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -14. What is the highest common factor of a and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j**(-8)\/j)\/j)**37)**(1\/13))**(-1\/49))**(-12) assuming j is positive.\nAnswer: j**(-4440\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2932465 + -0.5.\nAnswer: -2932465.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7)*d*d*d**5\/d)\/(d**(1\/3)*d\/((d**(1\/10)\/d)\/d*d)))\/(d*d**8*d*d**(5\/2))**(14\/5) assuming d is positive.\nAnswer: d**(-6499\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 - 262*c + 1989. Calculate x(124).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-13 + 7 + 30)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, -4\/5, -1\/4, -1\/3, 1\/58?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -26.1. Let c = x + 1.9. Let n = 23 - c. Is -1 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 minutes before 2:55 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 26*n**2 + 10*n - 171. Let r be i(26). Solve b - r = -94 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7160000 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeeh when four letters picked without replacement from heeehe?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, -0.1, -5\/4, 378?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5226361 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1641 and -1313096.12956.\nAnswer: -1313096.29366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504 is divided by 487.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 94205427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5. Let s(m) = -m - 4. Calculate -2*h(d) - 3*s(d).\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p - 84 - 164 = -41*p. Solve 4*c = -p*x - 4, -x + 4*x = -2*c + 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -674 = -5*n - 49. Let d = -70 + n. Factor -d*o - 50 - 17*o**2 - 29*o**2 + 41*o**2.\nAnswer: -5*(o + 1)*(o + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 20*r**3 - 21*r**3 + r + 105469*r**2 - 105983*r**2 in the form l*r + y + s*r**3 + g*r**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 10012?\nAnswer: -10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 3*x - 96 = 0. Let d = x + -11. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1 + 4*w**3 + w**2 - 3*w**3 + 2*w**2 - w**2. Suppose 0 = n - 1. Let p be m(n). Put 0, p, -1 in descending order.\nAnswer: p, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/35*7 - -4. Which is the closest to 1? (a) -29 (b) -1\/4 (c) 4 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 0 + 0)*(1 + 2 - 5 + (-6 - 2 + 1)*(-6 + 3 + 2)).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 7*x**3 - 6. Suppose 20 = 3*w + 2. Let k(q) = -5 - 204*q**2 + w*q**3 + 204*q**2. Determine -5*k(l) + 4*v(l).\nAnswer: -2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43\/76 - 6\/19. Suppose -3\/4*b**4 + 3\/4*b**2 + j*b**3 + 0 - 1\/4*b = 0. Calculate b.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 8) in base 14?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10271762*r**6 - 313*r**2 + 207152.\nAnswer: -1232611440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2130.876 centimeters?\nAnswer: 0.02130876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r. Let p(f) = -483439*f. Determine c(p(y)).\nAnswer: -2417195*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3161, 25270, 85269, 202100, 394705?\nAnswer: 682026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109162319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnnd when four letters picked without replacement from dngddddnoggtnnnno?\nAnswer: 5\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 40 - 45. Let t be (-1 - s\/1) + (34 - 27). Suppose 20 = t*m + 5*y, -3*y + y + 18 = 4*m. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29924*n + 161 = -29917*n for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1663.\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + n - 7. Let w(b) = -b**2 + b - 6. Let p(t) = 4*t - 3. Let u be p(2). Suppose u*q + 3*g - 29 = 6*g, -g = q - 9. What is q*w(z) - 6*r(z)?\nAnswer: -z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 8*d + 8 - d**2 + 2*d**2 - d**3 - 4*d**2. Let c be l(-4). Suppose 4*p = 2*s - c - 24, 2*p = -5*s + 124. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64349, 64345, 64331, 64301, 64249, 64169, 64055?\nAnswer: 63901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 0*i + 1\/3*i**4 - 30*i**2 + 0*i**3 + 0. Let q(k) = 89 - 89 + k**2. Calculate q(u(l)).\nAnswer: 64*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 2*a**2 - 6. Let o(q) = 2*q. Give o(b(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95 - -115. Suppose 0*y = y + 5*y. Let v be 30\/12*((y - 0) + 2). Calculate the highest common factor of v and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 15*a + 7. Let g be m(-15). Suppose 48 - 167 = -g*f. Suppose f*q = 5*q + 2292. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26734052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4163*y**2 - 3291 - 2350*y**2 - 2325 wrt y.\nAnswer: -13026*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.85 + -0.98. Do y and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 8*s**2 + 2*s + 5. Let y be x(-8). Suppose -12 = -3*m - m. Let a = m - y. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/(-25) + (-12)\/(-15). Which is the second biggest value? (a) z (b) 3 (c) -0.4 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 4*c - 2. Let p(o) = o**2 + 6*o + 3. Let a be p(-4). Let y be d(a). Let v be y\/(-2 - 15\/(-6)). Is v greater than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -53, -70, -99, -140, -193, -258, -335?\n\"Answer: -6*p**2 + p - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490 is divided by 132?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25013*d - 11*j = -25015*d + 491, 2*d - j - 41 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/18*3*1*(-2)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 582*v + 7472. What is o(-13)?\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 9*o + 6. Let g be u(7). Suppose 3*x + g = 2*x + 5*a, -2*x - a = -15. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023851684 rounded to three dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 - 249 = -38*l - 35 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 200 (b) 0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 times 35713\nAnswer: -7499.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 233971897 to the power of 1\/2, to the nearest integer?\nAnswer: 15296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 194667 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-6)\/(-3))\/(-4)*-40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 5.6. Let q = 3.5 - 3. Let k = l + q. Which is the closest to -0.1? (a) k (b) 5 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, e: 1, s: 2, v: 2, r: 7, a: 2}. What is prob of sequence saet?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 7:10 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0240969l to millilitres.\nAnswer: 24.0969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 69 = h + 72, 2*b - 23 = -3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 3*t + 4. Let p be g(4). Let h(u) = -3*u. Let x be h(p). Solve 0 = -x*r - 3*r + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/1632 and -7\/88.\nAnswer: 17952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 112 divided by 22531\nAnswer: 112\/22531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -8. Suppose -5*w = -s*w. Is 0\/(w + -1) + 61 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2. Suppose 9 = 5*z - v - 5, -2*z = 2*v + 4. Let c(k) = 7*k**2 - 3*k**z - 3*k**2 - 3*k**2. Give c(o(p)).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/20804 and -38\/6870521.\nAnswer: 27482084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 3. Suppose -5*a = -2 + 27. Let w = a - -8. Let b be i(w). Solve b = -2*v - 0*v + j + 2, v + 4*j = 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*o = -63, -4*y + 3*o + 29 + 22 = 0. Suppose y = -29*n + 35*n. Suppose -21204 + 404 = -n*p. Round p to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 0.2. Let b = 2 + y. Let m = b + -2. What is the nearest to 0.2 in 3, 2\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - ((-3 - -1) + 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*l - 170*l + 124049 = 0. 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 third derivative of -144*k**3*x**3 + 331*k**3*x + 2*k**2*x**3 + 2*k**2*x**2 + 1159*k**2 - 394*k*x**3 wrt k?\nAnswer: -864*x**3 + 1986*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/15 in -0.06, -1\/8, -2\/3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 358 or 362?\nAnswer: 362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.11 or -17094?\nAnswer: -17094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10526 (base 7) to base 12.\nAnswer: -1662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 2*q - 4*q)*(-5 + 5 - 2)*(-15 + 10 - 1) in the form n + t*q and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-3\/22)*t*t**12*t*t**13\/(t\/(((t*t\/(t\/((t*t\/(t**(-26\/5)*t))\/t)))\/t)\/t)) assuming t is positive.\nAnswer: t**(3417\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -4 (b) 0.2 (c) -1 (d) 295\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4626 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*y + 1 + (0*y + 0*y - y)*(1 - 3 + 1) + 3 - 1 - y - 1.\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2926 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**3\/i)\/i*i**(-5))\/(i**(2\/7))**(-32) assuming i is positive.\nAnswer: i**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-10)*(-95)\/38. Factor 0 - l**4 - 2*l**b + 5\/2*l**3 + 1\/2*l.\nAnswer: -l*(l - 1)**2*(2*l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 + 2*c**2 - 4*c**2. Let r(b) be the third derivative of b**5\/60 - 1483*b**2. Let i = -5 + 6. Determine i*r(t) + 3*p(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4*-0.117\nAnswer: -0.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 1. Suppose -2*m - x = -5*m. Calculate the remainder when 2 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 + 64?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38455, 291, -3.\nAnswer: -3, 291, 38455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7380 times -1.5\nAnswer: 11070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*-16*(-18)\/1008?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80 - -84. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) 1\/18 (c) -39 (d) 499\/14 (e) -2 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174 and 851469?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z + 16. Calculate q(10).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 3*l + l - 11, -i + 4*l - 17 = 0. Let z = -13\/4 - -7\/2. Which is bigger: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 - 7) + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 - -1100110000010011011?\nAnswer: 1100110000010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 4*p + 4. What is y(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11685605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 36 = 6*a. Suppose 2*n + 4*x = -a, n = 2*n + 4*x + 11. Suppose 3 = -3*u, n*m - u - 315 = 941. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, n: 5, s: 1, r: 1}. What is prob of picking 2 n and 1 s?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-14) + (-17819)\/14. Let u = d - -1268. What is the common denominator of u and -79\/34?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(18)*2 - (-4*(sqrt(18) + sqrt(90)\/sqrt(5)) + sqrt(18)))**2 + sqrt(162)\/(sqrt(9) - sqrt(144)) + sqrt(162)*6.\nAnswer: 107*sqrt(2) + 1459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-6)\/(-3150)*-5.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 10719.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 4. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-14 - (18 - 42))) + 36.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 12*m**2 + m + 17. Let j be l(-12). Let o be ((-76)\/399)\/(2\/(-6) - -1). What is the third smallest value in j, 3, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.05 + -6.85. Let s = 0.042 - -9.358. Let z = s + l. Which is the smallest value? (a) 9 (b) 0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 34913.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.068855 from -23.\nAnswer: -22.931145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 3083796?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 301 + -1245\/4. Calculate the common denominator of d and 4\/(-110)*(-10)\/8.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 3*x - 1432. Is x less than or equal to 179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 8*p**2 - 8*p + 4. Calculate i(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-39)\/j)\/j)\/(((j\/(j**(7\/3)\/j))\/j)\/j))\/(j**(-37)\/(j\/j**(-14))) assuming j is positive.\nAnswer: j**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -668*k + 336*k - 4980 = 0 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 9164 = -4*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 14*h - 50. What is z(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 - 3*q**3 + 18192286*q - 9096139*q - 9096147*q + 5*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.5, -0.04, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, t: 4, m: 2, w: 2}. What is prob of picking 1 n and 1 t?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4\/9 - 14*z**3\/9 = 0. Calculate z.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*g**2 + 41 - 203*g**2 + 2*g**3.\nAnswer: 2*g**3 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 1545*d**2 - 2 - 809*d**2 - 3 + 4 + 5*d.\nAnswer: 736*d**2 + 6*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -13*s**4\/12 - 19*s**2\/2 + 16*s. What is the first derivative of g(q) wrt q?\nAnswer: -26*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92 + 91.99949. What is w rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2110, -17529, -59896, -142849, -280026, -485065, -771604, -1153281?\nAnswer: -1643734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -109, 4, 3, -31, 8 in descending order.\nAnswer: 8, 4, 3, 1, -1, -31, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -6579.7 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**4\/36 - h**3\/18 + 2*h + 5. Let o(i) be the first derivative of c(i). Solve o(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-674 + 674 - 29*n)*(15*n - 4*n + 10*n) + 5*n - 5*n + 2*n**2 to the form x + t*n + a*n**2 and give a.\nAnswer: -607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -206 + 206. Let i(u) be the first derivative of 0*u**2 + l*u**5 - 7 - 2*u**3 + 0*u**4 + 0*u - 5\/6*u**6. Find the third derivative of i(b) wrt b.\nAnswer: -300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/sqrt(2) - 4*(-1 + sqrt(11)) - -4*(sqrt(396) + -2).\nAnswer: -4 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1652 + 569 = -3*l. Suppose 2*s + 2*s = -2*v + 226, -3*v + 5*s + l = 0. Suppose 0 = -0*b + 3*b - v. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11704\/22*291\/1358?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*w - 35 = 374*w + 5*x, -2*w + 21 = -3*x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**9\/30240 + n**5\/60 + 2*n**2. Let o(a) be the third derivative of w(a). Factor o(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1317 or -1525?\nAnswer: -1317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*h**2 - 38*h**2 - 2*h**3 + 0*h**2 + 77*h**2.\nAnswer: -2*h**3 + 92*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -18\/7, -1\/4, -4, 256?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1282 divided by -5.\nAnswer: -1282\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 303.\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9014798.77717803 - 0.22282197. Let g = d + 9014799.5519729. Let b = 0.552 - g. What is b rounded to six dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145.77 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p = -2*f + 26, 3*f + 34 - 59 = -5*p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.87 or -213?\nAnswer: -213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-46)\/(-6))\/(25\/225*(-2)\/(-2)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 706210 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1831 divided by 293.\nAnswer: -1831\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, k: 8, o: 4}. Give prob of picking 1 o and 1 k.\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.5 + -10. Which is the second biggest value? (a) -10 (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2778 is divided by 855?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 418852.2mm?\nAnswer: 418852200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/245*((-2)\/3)\/1. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {m: 5, c: 9}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18171 and 452929.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23626*j*k**6 - j*k**3 + 12*j*k**2 - 65*k**2 - 4*k wrt k?\nAnswer: -2835120*j*k**3 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 419328 divided by 8?\nAnswer: 52416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)*2*3 - sqrt(6))*3)\/((sqrt(330)\/(sqrt(11) + sqrt(33)\/sqrt(3)))\/sqrt(10)).\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 0. Let k be 18\/39*2\/l. Suppose -o + 2*r = -0*o + 5, 5*r = 5*o + 15. Is o bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 7598215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 4381.\nAnswer: 1\/4381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9548 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3317 = -37*c + 4527. What are the prime factors of c?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 10:36 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 191 and 182 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, -15, -4 in decreasing order.\nAnswer: 9, 4, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*14\/4585)\/(22*135\/4950)?\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 199 + -100. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5698*z**3\/9 + 3536*z**2\/3 + 5240*z + 6304\/9 = 0. What is z?\nAnswer: -2, -394\/2849, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x - 2*x - x + (6*x - 3*x - x)*(3 - 4 - 4).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u**2 + 0*u**2 + u**2.\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4080 (base 13) to base 7\nAnswer: 34632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 - -12) - -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 9*o + 10*o - 11*o + 8*o. Let b(s) = s**2. Give b(x(r)).\nAnswer: 256*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 605*q + 3632. Let h be j(-6). Factor 6\/11 + 8\/11*v + 2\/11*v**h.\nAnswer: 2*(v + 1)*(v + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, d: 8, e: 3}. What is prob of picking 1 e, 1 d, and 1 r?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000320 (base 4) to base 2.\nAnswer: -100000000111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 16611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6497.\nAnswer: 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -670997 - 12*3\/12. What is n rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12203033021 (base 4) in base 2?\nAnswer: -110100011001111001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 18 = 2*a - 2*j, -a + 5*j = -23. Suppose -4*y - y = 25, a*y = -s - 21. Let l be s*((-4)\/12 + 1). Sort -3, 5, l.\nAnswer: l, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -580 + 1586. Is w != 1005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**6\/240 + 7*c**5\/240 + c**4\/24 + c**3\/2 + 21*c. Let i(u) be the second derivative of d(u). Factor i(o).\nAnswer: (o + 2)*(3*o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40734.4 + -4909899.1.\nAnswer: -4869164.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265121, -530237, -795353?\nAnswer: -1060469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 3, 1\/4, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 845.8 + -844.8. Let j = -5.2 - -5. What is the nearest to 3 in 2\/3, s, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 337433?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x. Let j be v(3). Let c = -14297 - -14301. Sort j, c, 1 in ascending order.\nAnswer: 1, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19601?\nAnswer: 17, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/3*18\/(-225)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*z + z - 7 = 0, 0 = -5*z - 15. Calculate the remainder when (-8 - 68)*1\/(1\/o) is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 15. Let z = -6 + l. Let u = -5 + 8. Solve -5*n + 4*r + u = 0, -5*n = -n + z*r + 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -94*w**3 + 18*w**2 + 8*w - 1872. Let t(i) = -92*i**3 + 15*i**2 + 5*i - 1871. Let o(a) = 5*b(a) - 6*t(a). What is the first derivative of o(m) wrt m?\nAnswer: 246*m**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 362574 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 - 0.9. Suppose 388*b = 3*l + 391*b + 9, 20*b = l - 81. What is the nearest to g in l, -2, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0783233 plus 164513?\nAnswer: 164513.0783233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*r + 13*r - 204. Let b = -101 - r. Let p(a) = -6*a**2 + 3*a**3 + 5*a**2 + 2*a**3. Determine p(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146739 divided by 18?\nAnswer: 48913\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220675 divided by -1220675?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2225554 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-13 - 1 - 4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 + 40 + 59 = 9*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zaau when four letters picked without replacement from {a: 5, z: 2, u: 7}.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*h - 7*p + 19, 0 = 3*p - 15. Which is greater: -3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -142985 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43733 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + 12. Calculate the greatest common factor of 20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -20*i + 29*i - 47*i. Factor -1\/7*n**4 - 4\/7*n**3 - 4\/7*n - 1\/7 - 6\/7*n**i.\nAnswer: -(n + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -245? (a) -0.5 (b) -3 (c) 48 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5323 - -1060. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-3)\/126)\/((-3)\/(-18))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*k - 139 = 6*k - 4*k - 65 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 99603 divided by -9\nAnswer: -11067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -182*y - 1. Let j(k) = -177*k - 1. Calculate -4*j(g) + 5*p(g).\nAnswer: -202*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 4*a + 22 - 10, 2 = 5*h - 4*a. Solve -2*z - 8 = -2*y, -4*y - 3*z = -h*z - 21 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -5, 9\/4 in decreasing order.\nAnswer: 9\/4, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -11.8. Let c = -0.79978 - x. What is c rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221222 and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 226*c**5 - 218*c**2.\nAnswer: 13560*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 96182 + 4?\nAnswer: 96186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-88)\/484 - -5029*(-2)\/(-22). Does h = 456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26526 to the power of 1\/2, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 - 2*p**2 - 115 + 10*p**2 - p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442147 is divided by 6314.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -88 + 91. Let r(q) = -q**2 + q - 2. Give r(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(405) + 0)*4 + ((-3 + sqrt(405) - sqrt(405)) + 1)*4)*2*-3.\nAnswer: -216*sqrt(5) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -106521068807 and -0.04.\nAnswer: -106521068807.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 8*s**2 - 4*s - 12. Suppose -2*d - d + 2*b + 27 = 0, -3*d = 5*b - 27. Is y(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -3*q**5\/5 + 5*q**4\/2 - 37*q**3\/9 + 10*q**2\/3 - 4*q\/3 - 1. Factor d(b).\nAnswer: -(b - 1)**2*(3*b - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39899 and 13753.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -3, -2\/15, 342, 2, -1.76?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.090192864 + -0.3.\nAnswer: -0.209807136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h - 21. Let i be v(-54). Suppose 0 = -0*d - 4*d + 88. What is the highest common factor of d and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50119 + -20619. What is r rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 32. Let z = -11 + g. What is the lowest common multiple of -1*z\/(-3) + 209\/57 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 158170.8 days?\nAnswer: 227765952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1734274 and 325264?\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21001143 (base 5) in base 3?\nAnswer: -22202000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -q**2 - 13*q + 612?\nAnswer: -2*q - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0*d + 8. Find the third derivative of 9*k**2 - 12*k**2 + d*k**5 - 8*k**5 wrt k.\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 - q + 3. Suppose 0 = 3*c + 4*y - 4, c - 3*y = -3*c - 3. What are the prime factors of b(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19032\/(-17446) - (0 - 4293\/33)\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f*f**(2\/17)*f))\/f**(-1\/4))**(-16)*(f\/(f**4\/f))\/f**(-2\/13)*(f*f**(2\/7)*f)**38 assuming f is positive.\nAnswer: f**(177740\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10643882, -10643881, -10643880, -10643879, -10643878?\nAnswer: -10643877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 11 = -3*j. Let p be 3\/(j\/62) - 4. Suppose -7 = -4*y - p. What is the smallest value in 4, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356508953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27378 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13443 (base 5) to base 6.\nAnswer: -5111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k = 33*k - 70*k + 14536. What are the prime factors of k?\nAnswer: 2, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17)\/(-6) - (-4)\/24. Let l be 49 + (1 - -1) + o. Suppose k - l = -k. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 13227296\nAnswer: -26454592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1372 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1.1070450561 - 3\nAnswer: -4.1070450561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275 divided by 6.\nAnswer: 275\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*z**3 - 28*z**3 - 13*z**3 - 10*z**3.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17245 (base 10) in base 15?\nAnswer: -519a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2678267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -612.99 + 606. What is r rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 3232?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70326 by 2.\nAnswer: 35163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p + 3. Let o be y(0). Suppose o*r = 35 + 37. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -636 divided by -106.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6 = -7. Calculate the lowest common multiple of f\/4 - 1215\/(-60) and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4477*k**3 - 19549*k**3 - 10934*k**3.\nAnswer: -34960*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -338 + 644. Suppose -2*d = -5*d - z. Let k = d - -157. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5 = -4*g, 5*g + 62*x = 61*x - 2. What is the smallest value in -3, g, 0.043, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-7 - (-54 + (21 - (8 + 3))))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7)\/n*n\/(n\/(n\/(n\/n**4)*n)*n))\/(n*n*n**1)**(-42)*(n*n**(-2\/5))**17*(n**(-1))**16 assuming n is positive.\nAnswer: n**(581\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 29762.\nAnswer: 267858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/917657 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x - 4*x + 3*x + 3*x - 2*x - 5*x + (-4 + 0 + 2)*(-3*x - x + 6*x).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/3, 4, -3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c - 15. Let n(i) = 286 - 642 + 9*i + 326 + 0*i. Calculate -3*n(k) + 7*y(k).\nAnswer: k - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 4*k - 8. Let w be q(6). Suppose w*x - 49 = 239. Does 36 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480\/55 - (12 + 1755\/(-143))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + 3*x - 2*x + (-3*x - 5 + 5)*(42 - 21 - 9).\nAnswer: -38*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.2, 5.\nAnswer: -0.3, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/16 and (70\/(-24)*580\/(-210) - 4)\/36.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*i = -66 - 102 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2*(1 - -1). Suppose -17*l + 501 = -859. Suppose 461 - l = p*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + 0.6. Let a = j - 0.1. What is the third biggest value in a, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m + 28 = -82. Let u be -6 + 10 - m - (1 - -3). Solve 0 = -q - 2*h + 15 - 4, 0 = -3*q - u*h + 29 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s = 9. Let t(x) be the third derivative of -x**4\/3 - x**3\/3 + 2*x**2. Is t(s) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/10*((-2 - -7) + 20). Let x be (10\/4)\/(b\/(-20)). Solve -x*o + o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-46)\/69*-2*(-6)\/(-32). Let z(l) = -l**2 - 4*l + 4. Suppose -5*w - 16 = -2*g, 3*g + 2*g + 10 = 0. Let s be z(w). Sort q, s, 5 in decreasing order.\nAnswer: 5, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*u = 4*u + 4, z + u = -4. Is (34 - 19)\/((-2)\/z) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156\/(-9) - 16 - ((-3)\/(-36) + (-105)\/(-180))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2480\/13*x + 768800\/13 + 2\/13*x**2.\nAnswer: 2*(x - 620)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 43206\/(-76) - (-8)\/((-8)\/(-3)). Is -565 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*d + 802 - 800, -3*d = -h + 4. Put 4, 3, -1670, h in ascending order.\nAnswer: -1670, h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25158 and 8386.\nAnswer: 25158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.00021 - 0.09021. What is the closest to -3\/5 in 3, z, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a - 14*a + 16*a.\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -68287 and -9?\nAnswer: 614583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -171, -246, -305, -342, -351, -326?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223285?\nAnswer: 5, 44657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 203, 30, 5, -7 in decreasing order.\nAnswer: 203, 30, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12723590 a multiple of 515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -5*h - 8*g + 60, 12*h = 14*h - 8*g + 46 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 + 1 + i - i**2 - 2*i**3 + 3*i**3 to s + m*i**2 + k*i**3 + j*i and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**4 + r**4 - 3*r**4 + (4*r - 3*r - 3*r)*(5*r**2 - 6*r**2 + 0*r**2)*(5*r + r - 3*r).\nAnswer: 7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25061.238 microseconds in days?\nAnswer: 0.000000290060625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/1*((-380)\/(-40))\/(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34038 and 13950?\nAnswer: 850950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -217\/6 (b) -5\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i**2 + 11*i - 15. Calculate p(2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4528.355ng?\nAnswer: 4.528355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 128 + -128.3. Which is the nearest to 1\/3? (a) 0.07 (b) 4 (c) n (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87582, -175161, -262728, -350277, -437802?\nAnswer: -525297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igiiigjijiiii. What is prob of sequence ij?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -6, -14, -22, -30?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*j - 8*a, a = -7*j + 4*j + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8553.078ns in milliseconds?\nAnswer: 0.008553078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 12:37 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 3*p = -30. Suppose -10 - p = -5*k - 2*z, 6 = -k - 5*z. Solve -2*b + k*v = 26, -v = -b - 0*v - 9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -680*m = -677*m - 51. Let k be (-2 + 6)*3\/4. Suppose -k*y = 62 - 419. Calculate the greatest common divisor of y and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 56, 118, 234, 422, 700?\nAnswer: 1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 81*x - 177. Let d(c) = 23*c - 50. Calculate -18*d(f) + 5*j(f).\nAnswer: -9*f + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 49*i**2 - 8*i + 403. Let m be h(49). Let g(a) = -6*a - 6. Let b(r) = r + 1. What is m*b(v) + 2*g(v)?\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -635.\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305407.\nAnswer: 305407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23286, -92654, -208272, -370140, -578258, -832626?\nAnswer: -1133244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a tonne in kilograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 4*u + 9. Suppose -w + 3*y + 31 = 2*y, u*w = y + 89. What is the remainder when w is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**3\/4 + 15577*o**2\/4 + 35103*o + 31208 = 0. Calculate o.\nAnswer: -8, -1, 15604\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109 greater than or equal to 14425\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oowr when four letters picked without replacement from {k: 2, r: 1, c: 1, w: 1, o: 1, h: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 15*f + 48. Let i be n(11). Let o(k) be the first derivative of -2\/65*k**5 + 0*k**i + 0*k**3 + 0*k + 20 + 0*k**2. Factor o(p).\nAnswer: -2*p**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3375623?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158 = -6*a + 140 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 10*n + 16. What is the least common multiple of o(10) and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1163, 1161, 1157, 1151?\n\"Answer: -w**2 + w + 1163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 55. Suppose t*p - 8 = 2*p. Suppose -3*n + 239 = -p. What is the smallest common multiple of 14 and n?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6480*t = 6478*t + 12 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 425070?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/30 and 95\/486?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 150583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85 + -139 - 88439\/(-1638).\nAnswer: -1\/126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.763032 + -0.065892. Round v to 2 decimal places.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eiieieeieieei. What is prob of sequence eee?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 4, v: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 54*f**2 - 17*f + 4. Calculate the remainder when n(-2) is divided by 92.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 8*a**3 - 6*a**2 + 6*a + 5. Let t(g) = -23*g**3 + 17*g**2 - 17*g - 14. Let b be ((-5)\/(-2))\/(5\/(-20)). Let s = -4 - b. Determine s*t(d) + 17*n(d).\nAnswer: -2*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -4. Let w(p) = 3*p - 2. What is the remainder when 24 is divided by w(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8428*m - 35*m**2 + 16*m**2 + 21*m**2 + 2768*m to the form q + u*m + v*m**2 and give u.\nAnswer: -5660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 944 and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - ((-33)\/12 - 242339\/12596)?\nAnswer: -1\/94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -15. Suppose -4*i + 3*f = f - 704, -3*i + 528 = 3*f. What is the highest common divisor of i and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -828.0492 rounded to 0 dps?\nAnswer: -828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 8*n - 4. Let y = -9 + 2. Let q be t(y). Suppose 7 = q*a + 19, 2*a - 13 = -f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 1 - (-728)\/8. Suppose 4*l + 4*x + 0*x - t = 0, 86 = 5*l - 3*x. Solve -16 = -5*y + 2*q, -4*y - 1 + l = q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2 - 11*t - 8. Let z be (-3 + 5 - -1)\/3. Let j = -5 + z. Let n be b(j). Solve q = p, 0*q + q = 3*p + n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2 + 2)*(-4*x**2 - 3 + 3) + 124*x - 120*x + 0*x**3 - 5*x**3.\nAnswer: -9*x**3 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33.993 - 34. Let s = 7.007 + l. What is the third biggest value in -2, 0.4, 1, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.09 (b) 5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggpygayagpp. What is prob of sequence ayy?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 30*g**3 + 6*g**2 + 41*g - 4. Let b(a) = 60*a**3 + 11*a**2 + 81*a - 7. Let u(w) = -4*b(w) + 7*i(w). Find the second derivative of u(f) wrt f.\nAnswer: -180*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4561356 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 - (12 - 8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 141388785 to the nearest integer?\nAnswer: 11891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5500 by 7026.\nAnswer: -2750\/3513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5811231 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2 + 18. Suppose -s + 0 = -4*c - 12, -c + j = 0. Suppose -2*q + 76 = -s. 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 568 (base 11) in base 13?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b4b4c (base 15) to base 7\nAnswer: 4604220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116.2 + -116.1. Which is the closest to p? (a) 0.1 (b) 1\/4 (c) -4 (d) -87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 23 = 64*b - 61*b, -h - b = -7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 39. Suppose s*p = 3*p + 420. What is the greatest common factor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 11*r. Let b(a) be the second derivative of -a**6\/240 - 3*a**4 - 48*a. Let n(u) be the third derivative of b(u). What is i(n(q))?\nAnswer: -33*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109309, 2, -6, 18 in descending order.\nAnswer: 109309, 18, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 less than -2?\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 1. Determine x(-13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r - 158. Give d(-37).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -45*a**4\/4 - 20*a**3 - 10*a**2 - 951. Find c, given that w(c) = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*d, 6*d + 2 = -h + 3*d. Suppose -3*v - h*g = 30, -4*v + 7*g - 40 = 2*g. Let r be v\/3*12\/(-10). Is 3 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1419 is divided by 83.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 55*y**3 - 106930*y**2 = 0.\nAnswer: 0, 21386\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.8 + -9.2. Let t = 11.4 + v. Which is the third biggest value? (a) t (b) 1 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3727402602 divided by -6?\nAnswer: 621233767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -286*z + 2*z**2 + 288*z + 1 - z**3 + 2*z**3. Let n be t(0). Solve -n + 2 = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41\/12025 - -23353\/204425. Factor 22\/17*z**2 + 0 - 12\/17*z - 12\/17*z**3 + r*z**4.\nAnswer: 2*z*(z - 3)*(z - 2)*(z - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -7*b**2 - 26*b + 47. Let r be q(-5). Suppose -16\/5*d + 2\/5*d**r + 32\/5 = 0. What is d?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 + 84. Let z = l - 35.9939. What is z rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117079*u - 58616*u - 58465*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 657.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14607 + 14651. What is the remainder when 307 is divided by j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54165 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 22*j**3 - 56*j**2 + 68*j - 24. Let a(n) = n**3. Let v(o) = 10*a(o) - y(o). Solve v(s) = 0 for s.\nAnswer: 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -190*o + 192*o + 4*v, 0 = -o + 36*v - 321 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -105, -125, -149, -177, -209, -245?\nAnswer: -285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (2 - (-3 + 6 + -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -5. Let s = 1803 - 1801. Calculate the smallest common multiple of s and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**5 + 1230*i**4 - 7488*i**3 + 162*i**2 + 67149*i - 101088.\nAnswer: 3*(i - 3)**3*(i + 3)*(i + 416)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-3 + -2)) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -1\/8 (c) 19\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 7:52 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 48 + 42 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 2 + 3 + (1 - 0).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 225 (base 6) to base 3.\nAnswer: 10022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 - 7*x + 7. Is k(5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 141611100, 4?\nAnswer: 141611100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 214029961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -2\/9 (c) 0.3 (d) 3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 12:14 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/140*2)\/((651\/(-84))\/31)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-5)*x)\/x**(-14))**(-27\/4) assuming x is positive.\nAnswer: x**(-297\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 664235?\nAnswer: 5, 11, 13, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1045a4 - -2112?\nAnswer: -102492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.96 + 5. Let s = o + -0.02. What is s rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 9:30 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + -2 + sqrt(242))**2*-4 + 5.\nAnswer: -3883 + 352*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 90a360 - 102?\nAnswer: 90a25a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 212590778 by 5237.\nAnswer: 40594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1339 = -4*q - y, -3*q - 4*y + 1023 = -7*y. Suppose -d + q = 3*d. Suppose 2*t - d = -t. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2355857 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - 3*r - 14*r - r + 60.\nAnswer: -22*r + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2 + 2. What are the prime factors of v\/14 + (-32)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c = -22*c. Let w(q) = 2*q - 1. Let z be w(c). Let d be z\/(-2) - -4*(-2)\/16. Solve -2*a = -3*m - 2, -4*m + d = -2*a + 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -554 - -557. Which is the second biggest value? (a) -0.4 (b) s (c) -13 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2093732071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22853001 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -7*a - 6*a. Suppose 0 = o - a, -6*o + 2*o - 132 = -4*h. Is h + 0 + (-16)\/(-4) + -4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 - 28*m - 19. Let r be o(15). Suppose -r = -3*i - 5. Suppose i*d - 6*d + 204 = 0. Calculate the greatest common factor of 34 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 127618256, 255236515, 382854776, 510473039, 638091304, 765709571?\n\"Answer: j**2 + 127618256*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 524591?\nAnswer: 524591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8\/3)\/o)\/(o**(-9\/7)\/o) assuming o is positive.\nAnswer: o**(-29\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -159*p**2 + 856*p**4 - p - p - 2117*p**4 wrt p?\nAnswer: -30264*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-6) + 0 - (3 - 1). Which is the closest to 82? (a) 10 (b) 1\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 44, 69, 92, 113?\n\"Answer: -c**2 + 28*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -377, -257, -59, 217, 571, 1003, 1513?\nAnswer: 2101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gip when three letters picked without replacement from pppppgpip.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 293 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0080173938 to 5 dps.\nAnswer: 0.00802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11228 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufuuxfxcuuu. Give prob of sequence xc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 1262.\nAnswer: -2\/631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -5, 3, 0 in descending order.\nAnswer: 3, 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*q = -30*q - 238. Let b(j) = 3*j**2 - 3*j - 2. Calculate the lowest common multiple of q and b(3).\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h - h)*(-42 + 10*h + 42) - 1 + 1 + h**2 + (h - 2 + 2)*(h + h + 0*h) + 0 - 2*h**2 + 0.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 600008807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-2)*-4*6\/66.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2484, -2479, -2472, -2463, -2452, -2439, -2424?\nAnswer: -2407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 12. Suppose 3*x + b*o - 2*o = 0, -3 = -o. Let s(j) = 2*j. Let a be s(x). Solve -4*m = -a - 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by (-15)\/4*(-204)\/85 - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81 and 45.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-12))\/((-27)\/(-4)). Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -0.45, -0.1, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {k: 4, c: 7}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 873.3023g to micrograms.\nAnswer: 873302300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3138, -6263, -9372, -12459, -15518, -18543, -21528, -24467?\nAnswer: -27354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4 + 97688*x**3 - 597312628*x**2 + 10727900784*x - 48239972496.\nAnswer: -4*(x - 12202)**2*(x - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-564)\/(-24) + ((-15)\/2)\/(-5) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.5+-1864831645621\nAnswer: -1864831645623.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**3\/6 + 16*a**2 + 30*a. Let p be o(11). Suppose -p = 3*y + 54. What is the common denominator of -81\/100 and y?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 17*u + 941. Is n(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a + 5*a - 3*b = -21, -a - 14*b = -0*a - 9*b + 21 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 2. Suppose f - 7 = s. What is the units digit of 27\/(-2)*(s + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 12:57 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 8985 = 9326. Calculate the remainder when x is divided by 171.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1847 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16671 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-2067)\/(-1144) - 8\/(-64)*3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 279*w + 277*w - 8 = 0, 2*h = 2*w - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1 - -0.1. Let r = 159612 - 478834\/3. Let l = 5 + -2. What is the closest to l in 3, q, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -4, -2\/9, 5\/9, 2\/9, 24\/11, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-2)*(-80)\/168 + 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/4, 16, -34, -3\/5 in descending order.\nAnswer: 16, -1\/4, -3\/5, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 250*q**4 + q**3 - 547*q**2.\nAnswer: 6000*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14201, -45, 5, -3, -5 in increasing order.\nAnswer: -45, -5, -3, 5, 14201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = c - 12. Let q(t) = t**3 + 3*t**2 + 2. Let l be q(c). Solve u = -l*i - 4, 2 - 3 = -u + 3*i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.319711333 rounded to five decimal places?\nAnswer: 0.31971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5982?\nAnswer: 2, 3, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2468030*f**2 + 136531*f?\nAnswer: 4936060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -127*c**2*u**4 + 6*c**2*u - 2*c*u**3 + 2*c*u - 4*u**2 wrt u.\nAnswer: -3048*c**2*u - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6 + 89*s - 5*s - 83*s. Determine z(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-486)\/648*(32\/(-3))\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -583 - -5c4?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 884141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s + 74. Determine g(-35).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**5 - 88*a**4 + 1324*a**3 + 1408*a**2 = 0.\nAnswer: -32, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*5\/((-15)\/42). Let k = q - -27. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1\/2 (c) 9363\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.629 or -185.1?\nAnswer: -185.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -230224?\nAnswer: -230223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -304 - -304. Suppose j + p*j - v = 18499997, -5*v + 18500015 = j. What is j rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2668\/17 - 157. Let t be 0*(21\/(-6) + 3). Suppose 3*f - 12 = j, -4*j - f - 2*f + 12 = t. Which is smaller: s or j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -2*z + 10, -o - 3 + 13 = 2*z for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41.4 + 48.83.\nAnswer: 7.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 63721, 127439, 191157?\n\"Answer: 63718*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -264, -542, -806, -1056, -1292, -1514?\nAnswer: -1722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 848 + -843. Solve -j - p = -4*i, -3*i - 5 = 2*i - 5*j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 12:33 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*k + 55*k - 94*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5, 73, 253, 599, 1165, 2005, 3173, 4723?\n\"Answer: 9*b**3 + 2*b**2 - b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 420033 (base 6) in base 10?\nAnswer: 33717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124956 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + i + 2. Let o be 2 - 1*(-4 + 0). Let c be (3 + -4)\/(3\/o). What is f(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 7. Which is the second biggest value? (a) -3 (b) -2\/15 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2036 and 2037 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 551 - 186 = 0. Suppose 9*b = 3*w + 4*b + 48, 4*w = 2*b - 64. Let z = w + 53. Calculate the remainder when x is divided by z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 13, -8, -51, -122, -227?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 < 0.037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(1\/(-216)) - -1. Let k = -10880 + 10942. Calculate the greatest common divisor of k and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22196 + 88787\/4. Let s be ((-8)\/(-42))\/(8\/(-12)). Put s, -1\/2, f, -0.4 in ascending order.\nAnswer: -1\/2, -0.4, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 4 (c) -4 (d) 5 (e) 0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4827.\nAnswer: 3, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t - t**2 + 4*t - 31*t - 10 - 29*t.\nAnswer: -t**2 - 50*t - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 11:13 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 93 = 4*f. Let w = f + -21. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-4)\/((-96)\/(-4))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -400\/9 - -44. Suppose -3*y - 7 = 5*q, -4*q + 6 = -4*y - 9*q. Which is bigger: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/223, 0.1 in descending order.\nAnswer: 0.1, 2\/223, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from {o: 10, i: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(l**2 + 5*l**2 - 5*l**2)*(-38 + 49 - 78).\nAnswer: 67*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -611\/3 - -202. Let h = 0.4 + -0.4. Sort 2, q, h.\nAnswer: q, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**2 + 2*q + 5. Let a(l) = 16*l**2 - 9*l - 19. Let u(z) = -2*a(z) - 9*j(z). Let h(k) = -k. Calculate u(h(n)).\nAnswer: 4*n**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 0, 20, 62, 132, 236, 380?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 4 (c) 4\/7 (d) 89\/3 (e) -5 (f) -3 (g) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52706 = 1503*x + 4610 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 358336 - 358332. Let w = 24 + -15. Solve -w*f - u = 32 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 120*j**2 + 7*j**2 - 354*j + 357*j - 2 to d*j + x*j**2 + s and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 281*a + 414 + 148 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -464, 1660?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85 + 8. Let o = 83 + f. What is the remainder when 23 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5452 + -3577. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 6 - 2 + 13*w - 1. Let h be d(-6). Let g = 823\/11 + h. What is the common denominator of -9\/2 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -37399, -37418, -37439, -37462, -37487, -37514?\n\"Answer: -i**2 - 16*i - 37382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13320120023 - -2022?\nAnswer: 13320122111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.04183 or -5\/9?\nAnswer: 0.04183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 468, 1866, 4196, 7458, 11652?\nAnswer: 16778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 3:13 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 - 29*a**4 - 29*a**4 + 10*a**3 + 4*a**4 + a**2 + a**4 - 7*a**4 + (2*a**3 - 3*a**3 - a**3)*(a + a - a) - 1 + 1 + a**4 - 4*a**4 - 3*a**4 + 6*a**4.\nAnswer: -60*a**4 + 10*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 4715629, 4715743, 4715857?\nAnswer: 4715971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-104142)\/565760 - (-28)\/(-910). Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.003 - 0.997. Let m = 521 + -521.21. Which is the second biggest value? (a) x (b) -4 (c) m (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 5184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + 39 + -52 + 72.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 4*i**2 + 3*i - 2. Let m be v(-3). Let q be ((-3)\/(-2))\/(m\/(-4)). What is the second derivative of -3*d**q - 25*d**2 + 25*d**2 - 4*d wrt d?\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**2 + 5*z - 7. Determine f(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r + 3. Let l(d) = 2*d - 1. Let u(g) = l(g) + 2*t(g). Let s(i) = i**2. Calculate u(s(v)).\nAnswer: 6*v**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 76257370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 9:25 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(72) + 0 + sqrt(242) + (sqrt(242) - ((sqrt(242)*-1 - sqrt(242))**2 + 5)).\nAnswer: -968 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -41. Let x be (-72)\/32 + i\/(6\/9). Let l = -1 - 0. Sort l, x, -0.2 in increasing order.\nAnswer: l, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaavaorvogj. What is prob of picking 1 g and 1 v?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -152118981 * 0.1\nAnswer: -15211898.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 456390 divided by -495.\nAnswer: -922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (77\/(-3388))\/((-6)\/66)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28664306.\nAnswer: 2, 11, 353, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/8415720 and -95\/56394.\nAnswer: 109404360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djbdjp. Give prob of sequence dj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4831*h**2 - 48309*h + 8. Give n(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32112220 (base 4) to base 3.\nAnswer: 2222122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8940.97074 and -5?\nAnswer: 8935.97074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -160306 (base 7) in base 12?\nAnswer: -1619a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13813, 6999, 27815, 48635, 69459, 90287?\nAnswer: 111119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3 + 18. What is the third derivative of 2*b**6 - s*b**6 + b**2 + b**2 wrt b?\nAnswer: -360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = y - b, 4*b - 2*b + 370 = 5*y. Calculate the highest common factor of 312 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10*j - 19. Let g be d(3). Let q be g\/(11\/8) + -4. Let y(h) = -21*h - 7. Let k(m) = -11*m - 4. What is q*y(x) - 7*k(x)?\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 l, and 1 g when three letters picked without replacement from qllblllggggll?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 97\/16698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t + 0*t**2 - t**3 - 1 + 3*t**2 - 5*t**2. Calculate p(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 220. Determine k(35).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17b + -34b5?\nAnswer: -3663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v + 511 - 124 - 131 - 130 - 126.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 14*d**2 - 15*d + 6. What is r(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192\/(-16)*(3\/(-6) - -1) + 196 + -160?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2808*l**2 - 124 - 1410*l**2 - l**3 + 25 - 147 - 1395*l**2 to the form r + c*l**3 + a*l + i*l**2 and give r.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -754*i - 124. List the prime factors of a(-2).\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6156, 12301, 18430, 24537, 30616, 36661, 42666, 48625?\n\"Answer: -u**3 - 2*u**2 + 6158*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (355\/(-1775))\/((-2)\/30). Solve -q*x + 292 = 307 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 137.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-15)\/9)\/(2\/(-6)). Let a be (-3 + y)\/4*10. Solve -a*r - 17 = 4*m, 8 = -5*r + 4*m - 5*m for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3588)\/(-30) - (12\/10)\/(-3). What is the highest common divisor of 300 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/8 + 33\/(-44). Let d(b) = -8*b + 10. Does 8 divide d(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 12*j + 1. Suppose w + 13 = 3*s, -5*w + 0*w = -4*s + 32. What is the remainder when 90\/60*((-484)\/(-5) + 2\/(-15)) is divided by z(s)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - -3.1. Let n = 6 - 4. Let w be (n\/(-3))\/(4\/(-2)). Put w, a, 2 in decreasing order.\nAnswer: a, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 5*d + d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 750379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/5 + 8*k\/5 - 9\/5.\nAnswer: (k - 1)*(k + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 8*p - 4. Let o be a(-4). Suppose 0 = -4*d + 6*d + o. Let c(r) = 2*r**2 - 12*r - 49. What is the remainder when c(d) is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11984 + -5?\nAnswer: 11979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2324\/39, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 2*p - 1. Let a be q(1). Suppose 5*c - 15 = -0. Let v be 2\/(-2*c\/(-6)). Solve v*n + 4 = -a*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*n - 237 + 141 - 34*n + 520 + 751 in the form v*n + k and give k.\nAnswer: 1175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, 4, -1\/2, 12, 0.03?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 708.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(7\/(-2)))\/(6\/(-14)). Let l = 49.98 - 50. Let s = -124\/77 + 10\/7. What is the fourth smallest value in -1, l, s, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0024889 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 79.124 and 6.\nAnswer: 474.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -e8 (base 16) in base 14?\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1102551 is divided by 4196.\nAnswer: 3199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3659, -4309, -4961, -5615, -6271, -6929, -7589?\n\"Answer: -a**2 - 647*a - 3011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 31\/3. Let b = 1 + 1. Let l be (b\/(-8))\/((-2)\/(-8)). What is the smallest value in v, 3\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 228930 by 15.\nAnswer: 15262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**4\/24 + 2*n**2. Let h be k(6). Let q be 19798\/h + 3\/(-9). What is q rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 6*q + 25 = 0. Let a(r) = -r**3 - 4*r**2 + r - 6. Calculate a(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {g: 4, b: 1, d: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 5 + 2*f**2 - 20*f + 105*f to the form m*f + i*f**2 + v and give m.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 22*t - 105. Let c be u(9). Suppose 14*j - 40 = -c. Sort -5, j, 3 in ascending order.\nAnswer: -5, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13648161?\nAnswer: 3, 17, 267611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11212662544 minus 22?\nAnswer: 11212662522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**3 - n**2 + 5*n**2 - 8 + 0 + 7 to w*n**3 + m*n + c*n**2 + y and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.6 or 53458?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 63*r**2 - 62*r - 96. Calculate q(-62).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - -60?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -s + 4*t - 2*t, -2*t = s - 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**5\/60 - f**2. Let y(i) be the second derivative of -1\/6*i**4 + 0*i**3 + 0*i**2 + 0 - 3*i. Give y(u(b)).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10761552 is divided by 2194.\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.527 rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -337?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5376*o*p**5 - 21*o*p + 100*o + 1 wrt p.\nAnswer: -107520*o*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h + 168 = 0. What is the common denominator of -119\/18 and (-4)\/(-1)*h\/1056?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**4\/3 + 2*i**3\/3 - 2*i**2 - 20. Let t(o) = -o + 1. Determine -b(j) + 3*t(j).\nAnswer: 5*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/1*-1 - (89 - 81). What is the nearest to 0 in 0.1, -0.09, n, -3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1935?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4041724232*a**3 + 4041904048*a**2 + 179818*a + 2.\nAnswer: 2*(a + 1)*(44954*a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13753731 and 208437.\nAnswer: 3111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - i. Suppose 4*x - 6 = 2*s - 0, -x + 2*s + 3 = 0. Let b = x - -5. Let r(w) = 8*w**2 + 5*w - 2. What is b*p(c) + r(c)?\nAnswer: 2*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192144 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*i + 4*h - 2 = 0, h + 3 = 2*i. What is the units digit of ((-15)\/6 + 3)*i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 986376 in decreasing order.\nAnswer: 986376, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1947, 2389, 3127, 4161?\nAnswer: 5491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -219*w + 1099. Let r be x(5). Solve 35 = -3*a + 4*g, -2*g - 6 = r*a + 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 y when three letters picked without replacement from zrzlerzylzrlezezyzl?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 5:52 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 517\/(-270) + (-4)\/10 and (-168)\/(-36 - -8) - (152\/45 - -1).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5493.\nAnswer: 3, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 50 - -43284778533\nAnswer: 43284778583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1542)\/(-3598))\/((-5)\/42).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.4418232 to 2 dps.\nAnswer: -52.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqyf when four letters picked without replacement from qiqqyqfqsisyfyffqqyg?\nAnswer: 28\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2350708423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tcwppjtrr. What is prob of picking 1 r and 1 p?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**3 + 6*w**2 - 2*w + 1. Let d(c) = -9*c**3 + 12*c**2 - 5*c + 1. Calculate -2*d(u) + 5*j(u).\nAnswer: -2*u**3 + 6*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -3175982.\nAnswer: 9527946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*n**3 + 3*n**3 + 1 - 2 to q*n + g + w*n**2 + u*n**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -17*r + 105. Let q be p(6). Solve -14 = q*n + j - 5, -3*n + 5*j = 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**2 - 4*k**3 + 4*k**2 + 2*k**4 + 2 - 325*k + 363*k to b*k**3 + t + i*k**2 + f*k**4 + p*k and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f + 32*f + 859 = 1310 + 1525 for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 0. Let p(r) = -12*r - 158. Let t be p(-17). Sort t, w, -1.\nAnswer: -1, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c**2 - 2*c**2 + 3*c**2)*(-2665*c + 1348*c - 809*c**2 + 1319*c) in the form p*c**3 + n*c**2 + g + d*c + r*c**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 + k**3 - k**3)*(-2 + 2 + 1) - 139*k**4 + 485*k**4 + 1527*k**4.\nAnswer: 1874*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -17\/30*k**3 - 1 - 97*k - 1\/15*k**4 - 13\/10*k**2. Factor j(p).\nAnswer: -(p + 1)*(4*p + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -73\/8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 15*q**2 - 12*q. Calculate the remainder when t(-1) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -49\/75?\nAnswer: -49\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-550)\/(-4) + (-6)\/(-12). What is the greatest common factor of i and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -259317, -259347, -259391, -259443, -259497, -259547, -259587?\n\"Answer: n**3 - 13*n**2 + 2*n - 259307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.8*1.98.\nAnswer: -5.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5482 - -54819\/10. Suppose -w = 9 - 54. Suppose -2*c - 15 + w = 0. What is the common denominator of c and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + 1 + 2 - ((sqrt(175) + 1)*-6)**2 - -5*((((2*sqrt(448) + sqrt(448))*-6)**2 - sqrt(448)) + sqrt(448)).\nAnswer: -355*sqrt(7) + 719427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**4\/7 - 3288*t**3\/7 - 1357928*t**2\/7 - 5392320*t\/7 - 5379200\/7 = 0.\nAnswer: -820, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y + 78 = 34*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395951651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 20 = 4*p. What is the derivative of 2*r + 0*r**p - 1 - 2*r - 3*r**4 wrt r?\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.57321 days to milliseconds.\nAnswer: 1431925344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 9*n**2 - 12*n - 10. Let b be q(11). Suppose b = -p + 6*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + d + 979, -2*d + 493 = h + d. Calculate the highest common divisor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**4\/8 - 5097*i**2. Let a(t) = t. Let u(y) = 10*y. Let p(l) = -21*a(l) - 3*u(l). Calculate g(p(w)).\nAnswer: -153*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 22 = -4*z + 2, 2*d = -z - 3. Solve 32\/7*k**d + 0 + 8\/7*k - 18\/7*k**3 = 0 for k.\nAnswer: -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 2*w + 1. Let b be c(-2). Let i = b + -4. What is the units digit of 2 - (0\/i - 6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 2. Let n = j - 1. Let f = 67\/2 - 33. Sort 1\/4, f, n.\nAnswer: n, 1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1416*f**3*q + 5248*f**3 - 221*f**2*q + f**2 + f*q + 2204*q + 2 wrt f?\nAnswer: -8496*q + 31488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 6:11 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 157930490 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*-1*10\/(-15). Factor 0*u + 8*u - m - 5*u - u**2.\nAnswer: -(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39060425 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 45\/(-135) - (-11)\/6. Factor -l*k**4 + 3\/2*k**2 + 3*k + 0 - 3*k**3.\nAnswer: -3*k*(k - 1)*(k + 1)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 0*k**2 - k**2)*(1 - 1 + 2*k)*(-27*k**2 - 19 + 19).\nAnswer: 108*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w = -135 - 85. What is the remainder when 65 is divided by -1 + w\/15*-3 + 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1259 = -2*o - 5*n + 1201, 9 = 5*o - 26*n for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*h = 11, 1 + 2 = -3*p + h. Suppose -5*d = 3*w + 37, -5*d = -2*w - 2 + 19. Put 0, d, p in descending order.\nAnswer: 0, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -28, -309, -1094, -2641, -5208, -9053?\n\"Answer: -43*r**3 + 6*r**2 + 2*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 24. Let c be 5950002\/(-7) - x\/(175\/10). Round c to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*i + 195*i + 30 - 31 - 85*i.\nAnswer: -6*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (-1)\/(-1) + 20. Let d(o) = 5*o + 7. What are the prime factors of d(f)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*s - 250*s - 2*h - 10 = 0, -5*h + 4 = -2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 138 in decreasing order.\nAnswer: 138, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -240 + 3322?\nAnswer: 3032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 3 + -2 + (3 - 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000067803 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 13, 0.2, 11914?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27312780?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -503 by 1345.\nAnswer: -503\/1345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**5 + 45*l**4 + 30*l**3 - 230*l**2 - 345*l - 135 = 0. Calculate l.\nAnswer: -1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)\/(l*l**(5\/7)))\/((l**(-17)*l)\/l*l**(-35\/4)) assuming l is positive.\nAnswer: l**(645\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -420\/251 - -3268\/753. Determine c so that 8\/3*c**2 + 2\/3*c**4 - s*c**3 + 0 + 0*c = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -g - 142, -2*g = 4*q + 106 + 4. Let l = q + 32. Suppose 2*t - l*r = 10, 4*r + 2 = -6. Solve -w = -2 - t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*0.3.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncq when three letters picked without replacement from mcqmummneqmmq?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 3*v - 7, 0 = r + 2*r + 5*v - 7. Let g be (2460\/(-18))\/(r\/(-6)). What is g rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 11) + 21 + -19 - 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 5*p**4\/6 - 2*p**3\/3 - 194*p**2. Calculate d(3).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + (-94386)\/(-15))*(50 + -45) a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 - 8*f + 9. Let u be m(4). Let j = 27 - u. What is the nearest to 0.2 in 1\/3, 3\/2, j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.66 and 0.05?\nAnswer: 1.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3956790289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227681 is divided by 215?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 133319819 to the power of 1\/2, to the nearest integer?\nAnswer: 11546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 7) to base 6\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 6044*p + 48362. Give x(8).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.13678 - -0.21678. Which is the nearest to 14? (a) -1 (b) -2 (c) n (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a. Let r(b) be the third derivative of 0*b + 0*b**3 + 1 + 9*b**2 + 1\/2*b**4. Calculate x(r(s)).\nAnswer: 48*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011100100011111 (base 2) to base 3.\nAnswer: -11001221212","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 216 - 106. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2273 divide 7664556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.2681 - -0.1879. Round d to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 + -4 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -a7a3 (base 16) in base 14?\nAnswer: -118d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -c595?\nAnswer: -c593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-36892)\/28*(-49 + 42)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*v - 45 = 0, -2*k - v + 786 = 570. Suppose o + 26 = 2*o. What is the lowest common multiple of o and k?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 15\/16 of a day?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + (-4)\/3)*(-39)\/143. Let r = 0.72 - 0.32. Which is the closest to 1\/2? (a) -3\/2 (b) r (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -36 (b) 0 (c) -2\/11 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/599 - -30555\/1198. Let h = -24 + l. Which is smaller: h or 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3478, 13253, 29532, 52309, 81578, 117333, 159568?\nAnswer: 208277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 21212 (base 3) to base 10\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 674 times 0.2?\nAnswer: 134.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*x - 4*m - 3 = -51*x, 3*x - 2*m = -21 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.886813 and -0.4?\nAnswer: -0.3547252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -1286 (c) -1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 425\/9 + (-6)\/27. Suppose 5*d - 4*c = 12, 18 = 4*d + d - c. Let s = a - d. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10556 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 3. Let f(s) = -s**2 + 8*s + 20. Suppose 0 = r + 5*r - 294. Let o be (-28)\/r + (-74)\/(-7). Let h be f(o). Calculate m(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u. Let q = 3 + -9. Let m = 22 + q. Let f(x) = m - 16 + x. Determine f(b(v)).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3577 - 387\nAnswer: -3964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 981511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1005 and 7236.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 = 5*t - n, 226 = 5*t + n - 12. Suppose -3*h = -4*o + t, -h = -5*o + 36 + 13. Calculate the remainder when 205 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3043 - -4840. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**7\/840 + l**4\/6 - l**3\/2 - 3*l. Let x(w) be the second derivative of k(w). Differentiate x(j) with respect to j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 10*m + 7. Suppose b - 1 = -0*b, 5*b + 2 = -c. Let z(u) = -7*u - 41. Let p be z(c). Suppose -2*s + p*h + 24 = 6*h, -4*s = 5*h - 30. Give l(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.53 - -0.03. Let d = f - 0.5. Let n = 5 + d. What is the biggest value in 1\/8, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 22. Suppose -c + 8 = 3*b, 4*b - c - 1 = 12. Calculate the remainder when a is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5388121 litres to millilitres.\nAnswer: 538.8121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 8:57 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 13. Suppose 3*q = t*q - 9. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2340*l - 673924. Determine n(288).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-12*(-2 - 21\/(-12))). Suppose 5*s + 2*v = -36, -4*v = s - 3*s. Let o(p) = p + 5. Let w be o(s). Put 2, 1, n, w in descending order.\nAnswer: 2, 1, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 1. Let w(j) = 5*j**2 - 4*j - 2. What is -5*s(g) - w(g)?\nAnswer: -5*g**2 - g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*(o*o**(-2\/3)\/o)\/o*o)**22*o**(-1\/3)\/o**(-6))\/((o\/((o**3\/o)\/o))\/((((o\/((o**(-1\/3)\/o)\/o))\/o)\/o)\/o))**2 assuming o is positive.\nAnswer: o**(107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 19 - 16 = 0. Let j(i) = 11*i**2 - 2*i + 1. Let s be j(1). Suppose y - 3*y + s = 0. Calculate the greatest common factor of y and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*i + 1480. Find the second derivative of -t + 3*t + i - 29*t**2 - 740 wrt t.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 228101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 12*b - 20 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5472487991 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0801 or 1?\nAnswer: -0.0801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-200)*8)\/((-3)\/(-75))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 343*h**5 - 2*h**2 - 2*h + 99 wrt h?\nAnswer: 6860*h**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0175393 rounded to 4 decimal places?\nAnswer: 0.0175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**5\/270 - v**4\/108 + 2*v**3\/27 + v**2. Factor n(z).\nAnswer: -2*(z - 1)*(z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = d - 17, d + 5*x + 8 = 8*x. What is the remainder when 11 is divided by (-2 - (-100)\/35)*d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -21*g**2 + 354*g + 57. What is k(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 - 50*j**2 + 1923*j - 42640. What is t(23)?\nAnswer: -527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0 = -t + 11, -5*t + 9 = -3*l. Suppose -2*j + 78 = -t*j. Let f be j\/21 + (-6)\/21. Let x(m) = -m**3 - 3*m**2 + 3*m - 4. Give x(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(300)*-2*2.\nAnswer: -200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7800 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31001 - 1143?\nAnswer: 24303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, j: 3, h: 1, l: 4, x: 7}. Give prob of picking 1 m, 1 h, and 1 j.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g + 42. Calculate v(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.548374g to tonnes.\nAnswer: 0.000005548374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -105*k**2 + 3. Let u(f) = f**3 - f**2 + 1. Give c(x) - 3*u(x).\nAnswer: -3*x**3 - 102*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**2\/4 + 24008*l + 4511295\/4 = 0.\nAnswer: -95985, -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -138, 2, 1 in increasing order.\nAnswer: -138, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**5 - 26*u + 26*u)*(-58 + 20 - 77 - 40).\nAnswer: 310*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 351 - 333. What is the greatest common factor of t and 306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 40, 0.5, 1, -3\/5, -3, 475?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 7)\/((-72)\/(-168) + 177\/(-406)). Calculate the greatest common divisor of 462 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.76166584 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**4\/4 + 11*r**3\/3 - 5*r**2\/2 + 5*r - 14. Does 7 divide a(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6172.\nAnswer: 2, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1236686*r + 339128*r - 4755835*r - 598831*r.\nAnswer: -6252224*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**3 - z**3 - 5*z**3)*(9 - 2 - 4 + 3 - 2 - 3 + (0 + 0 + 1)*(3 - 2 - 3) + 0 + 1 + 1 - 3 + 3 - 2)*(14 - 42 + 17 + (1 - 5 + 2)*(2 + 2 - 6)).\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 16.48506 millennia?\nAnswer: 164.8506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24844*v**2 - 69*v + 130?\nAnswer: 49688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41842.3 - -41842. Let q = -0.05 - 0.55. What is the nearest to 4\/7 in q, 4, f, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001 - 110101000?\nAnswer: -111101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 41. Calculate the remainder when 114 is divided by p(-34).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 188.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -10*p. Let i be o(-1). Suppose 3*k - i = 2*q + 2*k, 0 = 4*q + 2*k + 12. Let v(d) = -4*d - 6. Give v(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7 (b) -18 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/((-2)\/((-8)\/3)). Let i(w) = w - 9. Let q be i(s). Suppose 0 = -4*k - 0*k + q*z + 36, -5*z - 50 = -5*k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*n**3 + 14*n**3 - 3 - 2*n**4 - 2*n to the form g*n**2 + k*n**4 + b + q*n**3 + l*n and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392009979 is divided by 388.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -240133.2 and 4?\nAnswer: -960532.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1435, -2766, -4097, -5428, -6759?\nAnswer: -8090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*y - 70 = 122*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -341, -774, -1381, -2162, -3117?\nAnswer: -4246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 12487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, p: 5, w: 9, v: 2}. Give prob of picking 1 q and 1 p.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 142 and -0.00635?\nAnswer: -0.9017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -6. Suppose -2 + 128 = r*x + 3*l, -128 = -4*x - 2*l. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 83\/9 - (-2)\/(-9). Suppose 5*j - 1 = 5*s + i, -j = 5*s + 4. Let k be (-3 - s)\/((-6)\/9). Sort 5, 4, k in increasing order.\nAnswer: k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 8 = -7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - 43.37. Let g = u - -0.07. Let m = 15.6 + -21.6. Which is the smallest value? (a) -2 (b) m (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 632 + -634. Sort y, -8, 5 in increasing order.\nAnswer: -8, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2905*c - 900 = -2855*c for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 - 13*o**2 + 8*o. Suppose -3*u = -4*t - u + 52, -5*u = 5*t - 80. What is the lowest common multiple of t and n(6)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(77)*1 + sqrt(77) + sqrt(77))*2 - sqrt(77))*-2)\/((sqrt(28) - 2*1*sqrt(28))\/(sqrt(12)\/sqrt(3)*-6)).\nAnswer: 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7 + -4.3. Sort -0.3, 2\/11, b in increasing order.\nAnswer: b, -0.3, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0670397 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 41*p - 92. Determine d(43).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2914762 to the power of 1\/2, to the nearest integer?\nAnswer: 1707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091588 a multiple of 296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -4\/9 (c) -0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 m when four letters picked without replacement from {m: 2, c: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1361713.85*-1.\nAnswer: -1361713.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 864 and 19296?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(160\/(-250))*1018\/(-22905).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + z**2 + z. Let n be q(2). Let m be (30\/105)\/(n\/(-28)). Solve 2*p - m*b + 6 = 0, -5*b - 23 + 3 = 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7848502 or 7848501?\nAnswer: 7848501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + q. Let u(g) = -429*g**2 + 22*g. What is -110*j(i) + 5*u(i)?\nAnswer: -2035*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5613312 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31622699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 292215 and 14145.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + 4*(sqrt(45) + 3 - sqrt(5))).\nAnswer: -16*sqrt(5) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -50*z - z**2 + 16 - 8 + 21 + 36*z. Determine o(-13).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000314930722 to 6 decimal places.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, l: 3, z: 1, q: 5}. What is prob of picking 2 q and 2 d?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -0.3552403.\nAnswer: 0.0447597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - (-457012)\/14) + (-6)\/(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 - 25 = -2*q. Let i be (18\/15)\/(12\/q). Suppose -5*d + 2*v + 7 = 0, d + 2*v + 1 = i*d. Solve d*s = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + w - 6*w)*(-2*w**3 + 0 + 0 + (29*w - 258*w + 39 - 36)*(0*w**2 + w**2 - 2*w**2)).\nAnswer: -454*w**4 + 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.869023195 - -153.130987105. Let n = 154 - g. What is n rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 9. Let c be b(5). Let z be c\/3*(-180)\/6. Suppose 18 = 2*y - z. Solve 5*t - y = -p - p, 2*t - 5*p = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5103 - 156. Calculate the common denominator of 4\/22 - t\/(-198) and 11\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 - -6. Let o = -19 - v. Calculate the remainder when 55 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y - 2*y + 3*y + 0*y + 10*y - 3*y + 3 - 3 - y - 3*y + 2*y + 0*y + (-5*y + y + 2*y)*(0 + 1 - 3) + 144 + 15*y - 144.\nAnswer: 26*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.33 times 651552\nAnswer: -215012.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14596649 is divided by 3649160.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/3*3*(-2)\/(-33).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15)\/9)\/((-1)\/3). Suppose h = 2*n + 1, 4*n - 3 = g. What is the second derivative of -8*o + 0*o**5 - o**g - o**5 + 11*o wrt o?\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2821*q - 124147. Determine f(-44).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 4*k + 980. Suppose -11*u = -u - k. Suppose -u*l + 48*l + 6805 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**5\/7 + 2192*k**4\/7 - 406080*k**3\/7 + 26438400*k**2\/7 - 186624000*k\/7 = 0.\nAnswer: 0, 8, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 3*y**2 + 18*y. Let z be s(-6). Suppose -4 = 4*u - 32. Solve z = -g - u + 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/52 and -24\/65?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10116 divided by -5058\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7\/98*-3*2\/3\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2999 - 4378. What is the common denominator of (-1)\/(-4) + b\/84 and 341\/(-56) + 2\/(-7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 740 and 1196605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -195689, -195688, -195687?\n\"Answer: x - 195690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1 = -5. Suppose -c*g + 10 = 2*g. Let f(l) = 3*l**2 - 10 - l + l**2 + 1 - 3*l**g. Calculate f(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*m - 6*m. Let x = 100 + -52. Let g = -48.2 + x. Which is the biggest value? (a) m (b) g (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 688*z + 50 + 96 - 33.\nAnswer: 688*z + 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8674 is divided by 347.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*s + 170 + 275, s + 587 = 4*z. Let t = z + -122. What is the remainder when t is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 3, 2\/5, -2\/3, 35.2, -17, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18717508 is divided by 833?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/(1456\/(-35)))\/((-22)\/8).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a milligram in micrograms?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4812, 4417, 3346, 1263, -2168, -7283, -14418, -23909?\nAnswer: -36092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -5. Let x(t) = g*t + 1 + 0*t + 0 + t + 6*t**2. Determine x(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.01+8633746820\nAnswer: 8633746819.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a second in milliseconds?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 26\/5 of a millennium?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.2, 2\/15, -500\/13, 2 in increasing order.\nAnswer: -500\/13, 2\/15, 0.2, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8025506081?\nAnswer: 17, 23, 29, 30773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -240 + 1488 - 5105*m + 5111*m + (0*m + 3*m - 2*m)*(5 - 3 - 1) + 0*m - 2*m + 3*m.\nAnswer: 8*m + 1248","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 3318*z + 19865. Calculate o(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 74 - -24) + -3?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15910.698108 rounded to the nearest 10?\nAnswer: 15910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*d + 266*d - 108 = u, 0 = 2*d - 2*u + 36 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -18*k**4 - 39*k**3 - 6*k**2 + 9*k - 3. Let x(f) = 17*f**4 + 40*f**3 + 5*f**2 - 10*f + 4. Let g(s) = -4*t(s) - 3*x(s). Find o, given that g(o) = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*c = -3*y - 121, 4*c - 10*y = -0*y - 6*y + 12 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2 + 3756*d + 18830 = 0. Calculate d.\nAnswer: -5, 1883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*h = 0, -6*p + 4*p = h - 8. Suppose p*l + 1 = -2*b, -3*b - 2*l = -l - 5. Suppose 7*k = b*k + 260. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - a**2 + 9. Let u be f(0). Let h = 1 + u. Suppose 12*t - h*t - 8 = 0. Solve -2*y = -t*y + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3102 and 3258.\nAnswer: 6360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 - 3*j + 6. Let z be b(-4). Let a = z + 12. Find the common denominator of 46 and -47*a\/(-14) - 14\/(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 8, 1 in ascending order.\nAnswer: 1, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 + 2*v + 8\/3.\nAnswer: (v + 2)*(v + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or -0.393?\nAnswer: -0.393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -14*m**3 - 56*m + 79. Let d(r) = -2*r**3 - r**2 - 1. Let u(p) = 6*d(p) - i(p). Let q(y) be the first derivative of u(y). Differentiate q(f) wrt f.\nAnswer: 12*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90190597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 3*j - 6, 0 = 2*j + 3*f + 4 + 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 988 <= 87943\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -263 - -263. Let a(z) be the third derivative of 0*z + 19\/60*z**5 + 3\/8*z**4 - 22*z**2 + 0*z**3 + s. Find the second derivative of a(n) wrt n.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -76, -9, -3.\nAnswer: -76, -9, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1548, -3098, -4646, -6192, -7736?\nAnswer: -9278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 418521892.\nAnswer: 2, 19, 23, 239429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 11:20 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 14. Let n = -45 + 29. Let z be x(n). Solve -p = 4*y - 11, 4*y - 4 = z*p + 22 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 30*x + 35*x = 85451, 3*w - 64094 = 2*x. What are the prime factors of w?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -12*r**2 - 37*r - 4. Let a be v(-3). Let b(m) = 155*m**2 - 4*m - 6. What is the hundreds digit of b(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47905285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p + 1 - 1)*(2355 + 5605 + 8535 - 1874) to the form q + r*p and give r.\nAnswer: 14621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 3:15 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2.8. Let g be (-40)\/(-6) + 2\/6. Let s = 10 - g. What is the third smallest value in 0.4, i, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 16*w**5 - 1556*w**4 + 36*w - 464. Let i(n) = 3*n**5 - 311*n**4 + 7*n - 92. Let c(f) = 26*i(f) - 5*z(f). Find the second derivative of c(m) wrt m.\nAnswer: -40*m**3 - 3672*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4797? (a) 3 (b) -4 (c) -16.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k + 6*k**2 + 10*k - 3*k**2 - k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 428 - 253. Suppose -4*q = 5*o - v, o + 0*o - 3 = 0. What is the remainder when q is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**2*n**2 + 928*h**2 + 5171249*h*n**4 + 9198*n wrt n.\nAnswer: 2*h**2 + 62054988*h*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 4:51 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-960)\/180)\/((-2)\/3) + (98 - 223)?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*m = 226 + 566. Let r(k) = -k**2 - 13*k - 13. Give r(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24445 times 30?\nAnswer: 733350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 408\/(-2322) - 2\/(-9). Let t be 72\/(-45) - (-160)\/100. Is t at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*m - 4*l - 324 = 0, -l = -7*m - 2*m + 11*m + 13 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 14967992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 5*v - 330. Suppose -5*j + 5*a - 440 = 0, 141 + 232 = -4*j - 3*a. Let q = v - j. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 10. Suppose -t + 3 = 2*q, g*q + 4 = -6*t + 2*t. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 2 - 2)*(-41*t - 2*t + 3*t).\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.5129 - -114.6059. Let m = b - 104. Round m to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -24704\nAnswer: 9\/24704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -9235 at most as big as -9236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4621*y**3 + 2318*y wrt y?\nAnswer: 27726*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17943 + -17914. Solve 2*j = -3*k + 22 - 1, -3*j - 4*k = -m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 y when four letters picked without replacement from dqyqqymmpppqmqy.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 12*y**2 + 10*y - 14. What is the units digit of d(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/1081993 and -119\/590178.\nAnswer: 6491958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32280194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78396.\nAnswer: 2, 3, 47, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 3. Let r be y - -3 - 19\/10. Is r <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10390118.\nAnswer: 2, 37, 140407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -39738 times 18?\nAnswer: -715284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 12*o**5 - 2*o**2 + 2953*o. Let b(h) = 6*h**5 - h**2 + 1479*h. Let v(d) = -9*b(d) + 5*t(d). Find the second derivative of v(p) wrt p.\nAnswer: 120*p**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q**3 - 36 - 30 - 24 - 8*q**2 + 95. Let d(y) be the first derivative of -y**4\/4 - y**3\/3 + y - 21. Calculate -5*d(x) + h(x).\nAnswer: -x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**4 - 4 + 5*g + 8 - 5 + 3*g to the form j*g**4 + r*g**2 + o*g**3 + m + v*g and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-204))\/((-6)\/(-10)*15\/(-24)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234179.\nAnswer: 11, 61, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2402152548?\nAnswer: 2, 3, 1367, 146437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 + 4. Suppose -v + 5 = 3*n, 5*n + l = 3*v + 2*n. What is the units digit of v\/30 - (-2)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5258.\nAnswer: 2, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3)\/i**(2\/13))**(-1\/42))**23 assuming i is positive.\nAnswer: i**(943\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - o = 0, 3*o = 2*r + 6*o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 54 = -2*l + 10, o + 5*l = 28. Let p(i) = -i - 7. Let k be (10\/3)\/(1\/(-3)). Let w be p(k). Solve -5*n = -w*m + 29, -o = -2*m + 3*n - 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-1)*(-3 + 0\/(-5)). Solve 7*n - h*n = -20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j*r**3 - 3795*j*r + 3*j + 15*r**3 + 2578 wrt j.\nAnswer: 2*r**3 - 3795*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -395 (base 11) to base 8.\nAnswer: -723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*a - 2 = -0*a, 0 = -2*m - 5*a - 19. Let q be 4\/(6\/m)*1. Suppose -q*x = -0*x - 22. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-7 - -2) + 22665\/11160 + 5\/(-120).\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 124 + (132 - 82) + -121\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 7*i**2 - 8*i - 10. Let x be o(5). Let f = 35\/123 + 2\/41. Which is the nearest to f? (a) 3 (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*1270\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -9, -4, -1693 in decreasing order.\nAnswer: 1, -1, -4, -9, -1693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 71388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 205*i - 53. Let f be t(-6). Let l = -912 - f. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 + 31*q**3 + 12*q**3 - 5*q**3.\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 206000 rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25.4 - 25. Let f = 0.6 + -0.2. Which is the nearest to f? (a) -1 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/4)\/(17\/(-34)). Let f = d - 14. Let p(u) = u**2 + 14*u + 18. Let k be p(f). Solve 17 = 3*b - 4*q, 0*b = -2*b + k*q + 23 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 5*r**2 + r + 4. Let a be d(-4). Let n = -8 + a. Suppose 2*m - 40 = n*b - 4*b, 3*m = -b + 53. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67*m**2 - 2*m**4 - 8 + 19*m + 16*m**2 + 13*m**2 + 39*m**2 wrt m?\nAnswer: -24*m**2 + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -322.6 + 5.09?\nAnswer: -317.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2632843 is divided by 82273?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (262\/655)\/(27\/15).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010737425176 to five dps.\nAnswer: 0.01074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-5)*10*2\/(-8). Let n be ((-329)\/(-21))\/(1\/w). Let c = n - -5. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 28 = -4*h + 3*p, 5*p = 0. Suppose 24 = h*m - 543. What is the highest common factor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -65824?\nAnswer: 65824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h + 4 - 4 + (4 - 3 + 1)*(-h - 2*h + h) + 2*h - 2*h - h + (-2*h - 3*h + 4*h)*(-3 + 0 + 4) + 3 - h - 3 to k + t*h and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -3 - 0)\/1. Let g = -3 - s. Let q = -2219 - -11097\/5. What is the second smallest value in q, -5, -0.2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.445 and -8.18417?\nAnswer: 8.62917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -11) + -5 + -2144 + 2245\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.859849mm to centimeters.\nAnswer: 0.5859849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/48 and 61\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -7 + 3 + 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 132, 127, -86, -609?\nAnswer: -1544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 24314*u**2 + 24318*u**2 - 48629*u**2. Suppose -4*i = -2*a + 7*a - 23, 3*a - 4*i = 33. Let t(m) = a*m - 7*m + m**2. Determine 2*d(k) - 5*t(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 229521323 a multiple of 444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7 + 10966613.247.\nAnswer: 10966611.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 12*g - 14. Let h be p(-13). Put 1, h, -5 in ascending order.\nAnswer: -5, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 955486019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811638 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -406584320.415 and 2.\nAnswer: -406584318.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -476, -1918, -4320, -7682, -12004, -17286, -23528?\nAnswer: -30730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 12. Suppose -f - v*p + 11 = 0, 3*f - 2*p = 4 + 1. Suppose -f*r + 2*j = 2*r - 15, j = r. What is the remainder when r is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125*-864.2.\nAnswer: 108025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12db08 (base 16) in base 10?\nAnswer: 1235720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/((-4)\/(-1)))\/((44308\/(-114))\/(-11)).\nAnswer: 6\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-2 - (-2 + 1)). Suppose q = 2*q - 0*q. Suppose 9 = -4*c + 7*c, -2*g - c - 3 = q. Put 5, g, n in ascending order.\nAnswer: g, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113 + -106. Suppose f*o - 38 = -10. Suppose 3*g + o*y = 212213 + 300771, -5*y - 513020 = -3*g. Round g to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/1)\/3)\/(2\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 8 = -3*m - r, 0 = -m + 3*r + 2. Let i be -1 + m + -4 + 5. Solve -i*v + 2 = -2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(343))**2 + 0 + -5*sqrt(343)*-2.\nAnswer: 70*sqrt(7) + 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f - f**3)*(-2 + 3 - 3) - 2594*f + 2594*f + 322*f**3.\nAnswer: 324*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31293550 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3025905?\nAnswer: 3, 5, 61, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10738130 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u - 758. Let r(n) = -12*n + 1518. Determine 7*i(k) + 4*r(k).\nAnswer: k + 766","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r. Suppose -10 = -5*k + 5*o, -k - o = -7 + 1. Let j be x(k). Suppose 0 = j*h - 0*h - 84. Solve 4*f + g + 0*g + h = 0, -4*f - 1 = -3*g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 + 11*q - 6. Let y be p(-6). Let b(l) = -l**3 + l + 19. Give b(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 10 - 1)*(-469 - 105*v + 469).\nAnswer: -420*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323311031 (base 5) to base 9.\nAnswer: 2541045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (450\/378)\/(-25)*45\/(-60).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -35. What is the lowest common multiple of 12 and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*v + 3*v - 5 = 0, 7 = -5*r + v. Let d(a) be the third derivative of -7*a**4\/24 - a**2. What is the units digit of d(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1289 smaller than -1287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*3\/(-12))\/(3\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 2)*-40*-1. Let w = -14 + u. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/(-5))\/(6\/4). Let r be 1 + v - (-1 + -6). Suppose 2*m = 2, -l - r*m = -3*m - 7. Solve x = l*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -234 - -270. What is the highest common divisor of c and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.13 - 2.6103.\nAnswer: -7.7403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 2:21 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -1, 0.438, 0.1, 3, 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 9*p**2 + 10*p + 49. What is the remainder when x(-7) is divided by 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -572*y + 547*y + 575 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 275 and 6402660.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 85 - 87. Suppose -d + 27 = 4*t, w*t = 5*d - 0*d + 19. Calculate the highest common factor of t and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*q - 224*q**3 - 11 - 20*q + 0*q + 27*q**3 wrt q.\nAnswer: -1182*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8269394 is divided by 582?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2113 + 2793. Which is greater: 683 or y?\nAnswer: 683","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*(-2 + 88\/20) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 7 + (1 - 4 - -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o + 52456 - 52456.\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14865 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 -1\/2? (a) -1\/3 (b) -1 (c) 6689.36 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 o when two letters picked without replacement from {j: 1, b: 1, i: 1, m: 1, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(343))**2*1.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335748?\nAnswer: 2, 3, 7, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from {z: 2, v: 1, m: 1, k: 1, u: 1, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 340 and 779450.\nAnswer: 1558900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.341, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - 23*r - 14. Let p be l(-11). Let v = 27 + -25. What is the third smallest value in p, 0, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + i + 160. What is the least common multiple of 10 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49 - (32 - -11)) + 2 + 12 + -3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(70\/(-15))*16\/(-18)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -84\/237967 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 87157859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6591193 divided by -7.\nAnswer: 941599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61*b - 166*b + 600*b + 1026*b - 584*b**3 + 984*b wrt b?\nAnswer: -3504*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8.98507g?\nAnswer: 8985070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.9 + -14. Let v = -0.3 - 0.2. Which is the nearest to p? (a) -1 (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from ouuuolelooeoeeelduol?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/5, 3, 2, 0.29, 7.6?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-112)\/(-3))\/(-7)*(-150)\/8. Suppose -6*t - 4*t = -j. Suppose 4*u = 2*m - t, -5*u + u = -3*m + 15. Let a(x) = x - 5. Determine a(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 9*q + 4. Let c be (8 + 0 - 2) + 0. Suppose -8*b - 12 = -2*y - 7*b, -b - 16 = -3*y. Let w(i) = y*i + 2*i - i + 0*i + 0*i + 2. Give c*m(p) - 11*w(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*i = -518, -514 = -4*f - 0*i - i. Suppose u + f = -4*u + 4*v, 0 = -3*v + 6. Let l = u + 28. Sort -3, 5, l in ascending order.\nAnswer: -3, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20776649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 20*j**2 - 3*j + 15. Is n(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 23080 = -3*r. Let a = r + 5952. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from xfhhxxhxhxfx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9323, -9054, -8647, -8102?\nAnswer: -7419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.0121 and -0.4.\nAnswer: -0.40484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1406 - -2499. Suppose 3*g - 1043893 + u = 0. Let m be g\/(-6)*(21 - (7 + -1)). What is m rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17880 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70.32 - 20.68. Let k = -3233.46 + 3139. Let i = w - k. Round i to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 37666311867803 and -1.\nAnswer: 37666311867802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266843525 to the power of 1\/2, to the nearest integer?\nAnswer: 35593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4.3417+-2015\nAnswer: -2019.3417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39693*t**4 - 39185*t**2 wrt t.\nAnswer: 952632*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 192, 747, 1670, 2961, 4620, 6647, 9042?\n\"Answer: 184*p**2 + 3*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5}. What is prob of picking 4 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1078 - -0.0078. Let n = 94\/35 + -23\/7. Which is the closest to t? (a) n (b) -4 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 4940000 = 8*i. What is i rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7382 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o = -4*o - 78738. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58674.63 centimeters in nanometers?\nAnswer: 586746300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddkdkbdkk. What is prob of picking 2 d and 2 k?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 58*g + 355. Give l(51).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 84\/307 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 u, and 1 t when three letters picked without replacement from {b: 1, s: 5, j: 3, u: 2, t: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/2 of a centimeter?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen halves of a week?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + i. Let k(v) = -10*v**3 + 62*v**2 + 4*v + 2. Let l(o) = -4*g(o) + k(o). What is the third derivative of l(s) wrt s?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (76 - 71 - (2 - (5 + -4)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5150*m**2 + 10297*m - 1. Give s(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-2))\/(19\/(456\/396))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 5.1. Let d = 0.2 - -2.8. Let a = -2 + 2. What is the second smallest value in p, d, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*x + 15*x - 5*x)*(37*x**3 - 36*x + 36*x) in the form w*x**2 + l*x**4 + c*x + v + j*x**3 and give l.\nAnswer: 999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evw when three letters picked without replacement from {v: 1, w: 1, e: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1519, 1515, 1507, 1495, 1479, 1459?\nAnswer: 1435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -21*k - 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*b - 5006*b - 127825 = -419*b + 217765 for b.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -131 (b) -3\/7 (c) 2\/15 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45 - -37) + 2 + 1 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 5*a - 8. Let q be i(-6). Let s(w) = -w. Let p be s(q). Let d = -5 + 9. Solve p*y = -d*c, 4*c = -0*c + 5*y for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xczcxxooxxooooozxo. Give prob of picking 1 o, 2 z, and 1 c.\nAnswer: 4\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 4, -1, 2, -212, 1.\nAnswer: -212, -12, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 976547, 1953170, 2929793, 3906416, 4883039, 5859662?\nAnswer: 6836285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136029\/321970 - -14\/2927. Let p = -128\/5 - -1033\/40. What is the common denominator of r and p?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 95*r**2 + 697*r + 1583. Determine h(102).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10150 + -10012. Solve h*o - 42*o = 768 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 - -75. Suppose f*d = 32 - 152. Is 15 a factor of (-3)\/(74\/140 - d\/(-40))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000025781 to 7 dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 29, -14, 0 in increasing order.\nAnswer: -14, -4, -1, 0, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 6:25 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.69 - -0.69. Let l = -2.96 + 3. Let i = l - -1.96. Which is the closest to i? (a) s (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 5.2?\nAnswer: -18.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -268007 or -268003?\nAnswer: -268003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q - 3. Let a(b) = 16*b - 7. Let g(x) = -3*a(x) + 7*t(x). Let z(f) = -49*f. Calculate g(z(i)).\nAnswer: -49*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbh when three letters picked without replacement from {p: 3, b: 2, e: 6, h: 3, w: 3}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*i**5 + 32799*i**4 + 1608768*i**3 + 355884*i**2 = 0. What is i?\nAnswer: -47, -2\/9, 0, 1262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-6 + 1 + 9 + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**3 + 108*i**2 - 384*i + 368 = 0. What is i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or 0.34267?\nAnswer: 0.34267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/17 - -21\/68. Let b(g) = -g**3 - 2*g**2 + 74*g - 6. Let h be b(8). Sort w, -0.5, h in increasing order.\nAnswer: h, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -35*u. Let w be a(0). Suppose w = -4*k - v + 167, 28 = 5*k + 5*v - 162. Calculate the remainder when 145 is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z**(4\/7)*z))\/((z\/z**4)\/z)*z*z*((z\/(z\/(z**(-2\/9)*z*z)))\/z)\/z*z*z**(5\/2)*z)**49)**20 assuming z is positive.\nAnswer: z**(76790\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 9:35 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*d + 4*u, -d - 3*u + 3 = -8. Calculate the common denominator of -37\/5 and 1 + (d\/16)\/((-2)\/(-14)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/154 and 123\/16786.\nAnswer: 16786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*w - 578 - 76*w + 47*w.\nAnswer: 19*w - 578","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from {q: 10, s: 2, f: 1, w: 4}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -747 = -44*l - 263. Solve -5*w + 5 = -h, h = w - 8 + l for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 20\/247597?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149534?\nAnswer: 2, 7, 11, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 18*c**2. Let u be x(1). Is (8212\/6)\/((48\/u)\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by -31.\nAnswer: 66\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 11*w + 7*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(8\/7))\/t**19)\/(t\/(t\/(t*(t*t**(-2\/19)*t)\/t)*t))**(-33) assuming t is positive.\nAnswer: t**(1685\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -554, 2\/5, -3\/17, 2, 3?\nAnswer: -554","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 212 - 208. Let s = 393 + -393. Which is the closest to 1? (a) h (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*y = -2*z - 159*y + 12, -5*z + y + 17 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 322, 319, 316, 313, 310?\n\"Answer: -3*d + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 - -63\/2. Let a(v) be the first derivative of n*v**2 - 1\/3*v**3 + 0*v + 1. Factor a(b).\nAnswer: -b*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -159 - -164. Suppose 0 = -9*l + t*l + 336. Let b(j) = -j**2 - 9*j + 4. Let g be b(-8). What is the highest common divisor of l and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-2\/15)\/y))\/y)**(-33)*y*y*y**2*y*y**(-1) assuming y is positive.\nAnswer: y**(-167\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -10*b**2. Let r(f) = 15*f + 29860. Give r(z(w)).\nAnswer: -150*w**2 + 29860","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 141 - 143. Sort 119, -0.3, h in descending order.\nAnswer: 119, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, p: 11}. What is prob of picking 2 r?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 6. Let s be (112\/(-40))\/((-24)\/10 - -2). Let o = p + s. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000100110110 (base 2) in base 11?\nAnswer: -310a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216298580.\nAnswer: 2, 5, 10814929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 186943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7729311 to the nearest integer?\nAnswer: 2780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-245)\/10))\/(-2)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17792187 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 39. Give s(0).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 8117 - 27*u - 8084.\nAnswer: -31*u + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 - 2 + (1 - 1 - 2)*(-2 + 3 + 0))*(0*q**2 - q**4 + 0*q**2 - q**2) as o*q**4 + m*q + p + n*q**3 + k*q**2 and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 5*c + 1. Suppose j + 57 = 20*j. Suppose 4*f + 2*v = -28, 5*f + 0 = j*v - 13. Determine y(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-4*sqrt(36)\/((1*sqrt(120))\/sqrt(10)))**2 + ((sqrt(63)\/(sqrt(7)*2 + sqrt(7) - sqrt(7)))\/(sqrt(3)*2*5))**2).\nAnswer: -19203\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433870 is divided by 153.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.93788 centuries to years.\nAnswer: 5293.788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from dllltevevv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.59 - -322.31. Let q = 317 - l. What is q rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 22*c - 724 = -3*s, -2*c = 5*s - 1180. Calculate the greatest common divisor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3933 - -8231. What is the remainder when g is divided by 100?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*o - 22 + 1 = 0, -2*t + 38 = -2*o. Suppose 108 + 162 = 2*q. Suppose -q = -7*a + 2*a. What is the highest common factor of t and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = c - 5*b - 214, -4*c + 856 = 4*b. What are the prime factors of c?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -328149235.\nAnswer: -328149235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z + 11. Let q be f(-2). Suppose -q*m = -16*m + 3. Let r be 13 - 0 - (-3 + 12)\/m. Solve -3*o + 2*o + 17 = -4*n, 2*o + r = -2*n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 547.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 131788 to the power of 1\/2, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 2042 = 3*o + 2011, 5*o = -5*r + 25 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2302351 (base 6) to base 5.\nAnswer: 12222321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, x: 3, t: 9, j: 2}. What is prob of sequence eet?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2331 divided by -45446\nAnswer: 2331\/45446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2735608 = 138*z - 4830794. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by -626.\nAnswer: 27\/626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1211)\/42)\/(-5 - (-11)\/6) + -9?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 130 = -571. Let h = -450 - k. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-195 - 13)\/(-26) - -265965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1867*d**5 - d**2 + 701?\nAnswer: 112020*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 4 + 0 + -3. Suppose 0 = -z - s - a*s + 6, -50 = -3*z + 5*s. What is the lowest common multiple of 5 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n. Let p(x) = -2526*x. Give p(h(w)).\nAnswer: 15156*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 1:46 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*q**3 + 211*q**3 - 70*q**3 - 73*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -163*q - 10893*q**2 + 10864*q**2 + 2 + 163*q in the form d + a*q**2 + b*q and give a.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 61669883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52 * 3.5.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -16. Let h be 3 + -1 + 0 + -4. Let g = h - s. What is the lowest common multiple of 11 and g?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082632399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -6*j**3 - 4*j**2 + 4*j. Let i(y) = 12*y**3 + 9*y**2 - 9*y. Let v(b) = 3*b - 117. Let x be v(36). Give x*a(d) - 4*i(d).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -25408870903 minus 1.626?\nAnswer: -25408870904.626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1802415*j - 2247. Let b(c) = -1605*c + 2. Let m(y) = -2247*b(y) - 2*p(y). Let s(r) = 2*r. Calculate s(m(n)).\nAnswer: 3210*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 19*l**2 - 22*l + 54. Let a be r(-19). Suppose -a*v + 462*v = -50. What is the greatest common factor of v and 305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 372906?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = i + 4*k - 34, k + 3 = 0. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 + 16. Let x = w + 31. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 426114 and 139266.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200210210220 - 112010?\nAnswer: -1200211100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 12*j**2 + 210*j + 4. Give x(-18).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7717721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.272 and 1.04.\nAnswer: 0.28288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 10:12 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + -4)\/(-1 - 0). Suppose s = 2*f + p - 22, -2*f = 3*p - 14 - 4. Suppose -f = -4*l - 4. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569*j + 183 = -67*j + 4701 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -32*c + 18*c + 32*c**2 + 8*c**2 + 16*c**2 + 12*c. Let q(b) = -4*b. What is q(n(h))?\nAnswer: -224*h**2 + 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 - d**3 + d**3)*((-d**2 + 3*d**2 - d**2)*(2 - 3 + 4) + 0 + 0 - d**2 + 14*d**2 - 25*d**2 - 8*d**2).\nAnswer: -34*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 15244*g + 76297. Give w(5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4.8 (b) 1116 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.102505 rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 10. Let k = 0 - -52. Suppose -72 = -5*o - 0*s + 3*s, 4*s + k = 3*o. Solve -6*p + h*p = o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -31*l - 5 + 2 - 24*l. Calculate the remainder when s(-1) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxv when three letters picked without replacement from xvkk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 4*w + 12 + 5, -86*w + 82*w + 13 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a kilogram in grams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 3*f**2 - 3*f + 4. Let h be x(3). Let z(r) = -5*r - 33 + 3*r + 26 + r. Let p be z(h). Sort p, 5, 3 in decreasing order.\nAnswer: 5, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 2*h + 65. Let x be t(9). Suppose 4*c + 5*z = 4940, -25*c + 21*c - x*z = -4928. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 352 divide 2758772892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55940158?\nAnswer: 2, 27970079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*g + 2395 + 12*g**2 + 185*g - 2395.\nAnswer: 12*g**2 + 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**5\/20 - p**4\/2 - 5*p**3\/6 + 3*p**2 + 3*p. Let v be k(7). What is the highest common factor of v and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 56. Let g be h(-16). Let p = -233 + 353. What is the greatest common factor of p and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k**3 + 10*k + 3. Let z(i) = 14*i**3 - i**2 - 29*i - 9. Let f(x) = -11*q(x) - 4*z(x). Suppose -2*d + 16 = 6. What is the units digit of f(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by ((-12)\/40*-25)\/((-1)\/(-4))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 29. Suppose 3*x - 6 = -0*x, -5*f + l = 4*x. Suppose -4*h - f*j = -3*h - 474, 5*h = j + 2240. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72595, 72594, 72593, 72592, 72591?\nAnswer: 72590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -0.6, 4\/5, -4, -9811, -0.29?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**4\/84 + m**3\/14 - 2*m**2\/7 + 52*m + 118. Let o(x) be the first derivative of g(x). Factor o(i).\nAnswer: (i - 1)*(i + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -f - k + 876, 5*k - 3477 = -4*f. Solve f - 363*m**2 - 72*m - 69*m**2 - 876 = 0 for m.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6194, -24429, -54822, -97373, -152082, -218949?\n\"Answer: -6079*o**2 + 2*o - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 18. What is the units digit of (-14)\/i*1344\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2154143 - -35?\nAnswer: 2154222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 62*b**2 - 196*b + 7. What is o(3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 5*y - 6. Let f be q(-6). Suppose -l + 4 - 1 = f. Suppose 0 = n + l*n. Sort n, -3, 4 in decreasing order.\nAnswer: 4, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -311, -505, -701, -899, -1099?\n\"Answer: -f**2 - 191*f - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/10)\/1*-8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/510 and -77\/40.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5*w - 24 = -64, 2*w - 25 = 5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 + 28*u**2 - 2*u - 32*u**2 + 4*u**4 - u**3 + 7*u**3 to the form y*u**2 + g*u + o + c*u**4 + t*u**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 46*h + 141. Let m be s(-3). Let g(p) be the second derivative of 1\/20*p**5 - 3\/4*p**m + 27*p + 0 - 1\/16*p**4 + 0*p**2 + 1\/120*p**6. Factor g(z).\nAnswer: z*(z - 2)*(z + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k + 301. List the prime factors of b(0).\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/y**1))**(-49) assuming y is positive.\nAnswer: y**(-98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.43 - 4.03. Let r = h + 4. Let g = 131\/35 - 22\/7. What is the biggest value in g, -4\/9, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -388, -405, -422, -439, -456?\n\"Answer: -17*n - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*(-1)\/12)\/((-54)\/1008*7). Let s = 4 - 7. Which is smaller: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -4. Let t = 35387\/357 + -694\/7. Is y < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -46*q - 133. Calculate a(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -119 + 120. Is 59 a factor of (0 + (l - -1))*4715\/46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 171*d - 111374. What is g(-430)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 726*a + 2 = -2*d + 731*a + 16, 0 = 2*a + 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-85 - -67) + (1 - (-42 + -9)) + 12.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**32\/z)\/z**(3\/17) assuming z is positive.\nAnswer: z**(558\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-5 - -6))\/(0 - 1). Solve 0 = -3*k + 3*s + g, -10*k + 7*k + 4*s = -8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, j: 7, y: 2}. What is prob of picking 2 j?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2\/4 + 6111*i\/2 - 37344321\/4 = 0.\nAnswer: 6111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.7, -5\/2, 1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1804)\/(-18) - 2\/9)\/1. Calculate the highest common divisor of s and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 5*c + 4. Let g be y(7). Let j = -5 - g. Suppose 196 = 3*f - 4*p, 4*p - 44 = -j*f + 336. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*h + 4*p = -16, 14 = -3*h - 4*p. Suppose c - 4*q + 9 = h, 5*q - 5 = 2*c. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drdddddr. What is prob of sequence dd?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o**2 - 10*o + 20. Give w(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -424*l**2 + 72 - 439*l**2 - 444*l**2 + 1401*l**2 + 11*l**3 + 2*l**4 + 144*l + 13*l**3 = 0.\nAnswer: -6, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -38723, -38728, -38733, -38738, -38743?\n\"Answer: -5*w - 38718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k - 1. Let m(r) = -r + 9. Let z be m(10). Let h be c(z). Suppose -o + 30 + h = 0. List the prime factors of o.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 39*v. Let b(d) = 12*d - 10. Let k(x) = -14*x + 12. Let r(i) = 6*b(i) + 5*k(i). Calculate n(r(w)).\nAnswer: 8*w**2 - 78*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - 1. Let c be 4\/(l\/(-10)*(-43)\/(-258)). What is the greatest common divisor of c and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2212112330 (base 4) in base 9?\nAnswer: 1247635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 29. Let y = 465 + -136. What is the lowest common multiple of (6\/10)\/1 + y\/35 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 - 10555*w**3 - 20*w**2 + 42220*w.\nAnswer: 5*w*(w - 2111)*(w - 2)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 0 - 937*j - 934*j + 1885*j.\nAnswer: 14*j - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 37875339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -379465430585 - 136.\nAnswer: -379465430721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -23*g + 12. Let i(b) = 8*b - 4. Let n(t) = -11*i(t) - 4*v(t). Let u(y) = -4*y + 4. Let l(k) = 5*n(k) + 4*u(k). Give l(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173064?\nAnswer: 2, 3, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -k + 3*l - 8, 2*k - 255 = -5*l. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25332 (base 6) to base 5\nAnswer: -110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/29502 and -107\/264.\nAnswer: 118008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 21?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v - 1. Let i(s) = -s**3 - 5*s + 5. Let p(m) = i(m) + 6*w(m). Let h(g) = 3*g**3 + 2*g**2 - 7*g + 4. Let k = -103 + 102. Determine k*h(t) - 4*p(t).\nAnswer: t**3 - 2*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/2)\/(-1 + 0))\/1.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 169d (base 14) to base 16\nAnswer: fdb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 3:48 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/30)\/(-2*(-26)\/260).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (-8)\/24)\/(2\/30). Solve -2*j = m*v + 1, 6*v - 5*j = 11*v + 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*l - 2628 - 87 = 0 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**3*u**2 + 6*m**3*u + 183*m*u**3 - 20*m wrt u.\nAnswer: -6*m**3 + 1098*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -8141*v + 179009. Calculate u(22).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4190\/(-2514))\/((-220)\/(-6))?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -8. Let h be 3\/(g*(-3)\/(-10)). Solve -h*k + 20 = -6*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(600) - (sqrt(600) - 1*sqrt(600))))\/(sqrt(88)\/(sqrt(396) + sqrt(396)*3 + sqrt(396))).\nAnswer: 150*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1685 divided by -5.\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11313 + -21443400?\nAnswer: -22010213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -111161483?\nAnswer: -5\/111161483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 1020.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -854 - -851. Let z(p) = 14*p**2 - 3*p - 3. Let y(b) = -15*b**2 + 4*b + 4. Determine i*y(t) - 4*z(t).\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-280)\/(-4 - 0) - 720\/((-5040)\/84)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 7*h**4\/12 + h**3\/3 - h**2\/2 - 4*h. Let b be a(1). Calculate the greatest common factor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -3*b**5\/5 + 590*b**4 + 1978*b**3\/3 + 1278. What is the third derivative of y(h) wrt h?\nAnswer: -72*h + 14160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 6*l**2 - 7*l - 5. Let s be c(7). Let m(b) = -2*b**2 - 5*b + 3. Let z(h) = h - 1. Calculate s*z(t) - m(t).\nAnswer: 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -151*d + 19702 - 19702 + (3*d + d - 2*d)*(-1 + 2 + 1) - 3*d + 2*d + 2*d as f + a*d and give a.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-3 - -8)) + 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69289\/15894 + 26\/883. Calculate the common denominator of c and -41\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1145*c - 193*c = -68*c + 12240 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1485157 - -5?\nAnswer: -1485152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10470 is divided by 263.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97 - 47. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 407 divided by -10956.\nAnswer: -37\/996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 21, -677, 12, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**3 - 14*t**2 - 21*t + 3. Let x(z) = 3*z**3 - 15*z**2 - 20*z + 2. Let g(q) = 2*n(q) - 3*x(q). Let v be g(18). Solve v = 4*m - 8*m + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 120 = -5*n, -4*s - 20 = -8*s. Suppose -25*r = -n*r - 1692. What are the prime factors of r?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-7))\/(5808\/1848). Put 3\/8, v, 28 in decreasing order.\nAnswer: 28, 3\/8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 = -0*g. Let i(d) = 0*d - d - 104*d**2 + 103*d**2 + 26 + 3*d. Let c be i(6). Solve g*x + t + 7 = -2*x, -4*x + c*t + 2 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002759910485 rounded to six decimal places?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 138*k + 141 - 141 - 361*k as x + s*k and give s.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*o = 82 + 34 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63\/524 - 38875\/20436. What is the common denominator of -9\/11 and p?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4567303 take away -11116?\nAnswer: 11114.5432697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*((o*o**(-4\/9))\/o)\/o)\/(o\/(o\/(o*o**(-15))*o)))**(-3))**(-17) assuming o is positive.\nAnswer: o**(2227\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 23*u**3 + 11*u**2 - 6*u - 1. Let h(y) = 5*y**2. Let a(r) = -h(r) + t(r). Is a(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d - -2ba?\nAnswer: 2ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -62760*m - 125532. Give t(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198625 divided by 1.\nAnswer: 198625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 + 6*m**4 - 19*m**3 - 2 - 15*m**3 - 15*m**3 + 51*m**3 - 26*m**3 as z*m**2 + u*m**3 + l*m**4 + p + i*m and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence boy when three letters picked without replacement from {b: 1, y: 5, o: 11}?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 11*u**2 + 84*u - 931. What is z(11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2.5 (b) -8 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 9 = -4*i. Suppose -4*m + i = -12. Suppose -22 = -5*o - 2. Is m at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000101101 (base 2) to base 13\nAnswer: 33b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 0) + (-45 - -31).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 + 1031*u + 929*u - 1862*u to m*u + x and give m.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 32. Suppose -2*h = -2*v + h + 8, 3*h - 16 = -c*v. Calculate the highest common factor of 44 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 3*b - 7, 3*b + 0*b - 3*l = 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 13*j - 4. Let l be a(4). Suppose 4*r - 10 - 10 = 0. Suppose -12 = -2*y + 5*u, r*u = -3*y + 26 - 8. What is the greatest common divisor of l and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -278.06.\nAnswer: 111.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -230 != -73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 15) to base 13.\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25, 25, 29, 37, 49, 65, 85?\n\"Answer: 2*v**2 - 6*v + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 84*i*k*p*r**2 - i*k*p - 10*i*r**2 - i*r + 532*k*p*r**2 + 52366*k*r wrt p?\nAnswer: 84*i*k*r**2 - i*k + 532*k*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 11 = 5. Let j be (-6)\/(0 + (-3)\/w). Solve j*h + 5*q = 0, -2*h + 3*h + 3*q = 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.6 (b) 0.2 (c) 0.047\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/15 or -3\/8?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 0 - 1716*b - 6 + 1724*b. Suppose -2*g + 3*g = 14. Let u(z) = -z + 1. Determine g*u(l) + 2*v(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2294 - 2314.11. Let x = k + 21.1. Round x to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 300657 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -17c6?\nAnswer: -17c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, 3, -5583, -3 in decreasing order.\nAnswer: 3, -3, -76, -5583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 1, 7\/43550, -2\/3?\nAnswer: 7\/43550","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-24))\/((-27)\/(-72)). Sort -1\/9, -12, -5, d in ascending order.\nAnswer: -12, -5, d, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38149771 is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -105446353 + -5?\nAnswer: -105446361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t + 5. Let w be h(0). Suppose -3*o - 22 = -7, 5*q = -w*o - 10. What is the highest common divisor of q and 129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*((-1)\/4)\/((-2)\/4). Suppose -m*i + 4*i - 20 = 0. Does 9 divide (-9)\/((-45)\/i)*(1 + 26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 23*g**2 + 20*g - 52. What is x(-22)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -60 - 62. Suppose 0 = 2*t + 5*m - i, -2*m - 76 = -t + 3*m. Suppose -t = -p + 79. List the prime factors of p.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) -0.43 (c) 4\/7 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -81? (a) -0.3 (b) -5 (c) 3\/20 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20*(-5 - 105\/(-12)). Let k be 5\/3*(-10)\/a. Is -0.17 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -24\/8741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*a + 10, -15*a = -3*c - 10*a + 33. Suppose 0 = -2*x + x + 12. Solve c - 5 = 5*u + 4*p, p + x = -4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -37. What is the tens digit of 1\/(-1)*-2 + (99 - u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 25 = 5*q + 3*u, 0 = 2*q - 2*u - 14. Suppose 2*v = -t + 14, -41 = v - q*v - 4*t. Let x(o) = v*o + 36 - 33 - o**2 + 0*o**2. Determine x(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1546864 and 215824?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4003 (base 7) to base 6.\nAnswer: -10211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15b8 (base 12) to base 2\nAnswer: -101000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.05 + 0.05. Let p = -77.5 + 78. Let j be (-1)\/1*(2 + -1)\/(-1). What is the smallest value in -3, l, j, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1631400 to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 33*r - 173. Give c(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tufffffwfwwwr. What is prob of picking 1 f, 1 t, and 1 u?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-2\/5))**5)**(-31)\/(u**1\/u**2*(u*u*u**0\/u)**(4\/7)) assuming u is positive.\nAnswer: u**(-1516\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -445 + 898. Let r = z + -215. Let c = -238.00000151 + r. Round c to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -1412*c**3 - 162*c**2 - 9*c - 12. Calculate r(-1).\nAnswer: 1247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4295136 and 4832028.\nAnswer: 38656224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127717, -4, -9 in ascending order.\nAnswer: -9, -4, 127717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b**3 + 18*b**2 - 8*b - 2. Let o(g) = -g**3 + 3*g**2 - g. Let f = -546 + 545. Let w(j) = f*r(j) + 3*o(j). Find the second derivative of w(l) wrt l.\nAnswer: 18*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**7\/w)\/w*w*(w\/w**(-1))\/w)\/(w**(2\/7)\/(w*w**(-2\/17)\/w*w)) assuming w is positive.\nAnswer: w**(904\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 253973, 1015692, 2285223, 4062566, 6347721, 9140688, 12441467?\nAnswer: 16250058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21007707?\nAnswer: 3, 7, 1000367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 696089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**3 + x + 0*x**4 - 5*x**2 - 2*x**3 + 7*x**2 - x**4 as m*x + b*x**4 + f*x**3 + v*x**2 + p and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 c when four letters picked without replacement from {v: 1, c: 3, u: 2, t: 1, h: 3, i: 7}?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271156601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/38631 and -125\/5868?\nAnswer: 463572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 3*c + 14 = 4*c, -4*c + 14 = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3\/7 + 12*b\/7 - 8\/7.\nAnswer: -4*(b - 1)**2*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from {z: 1, l: 1, f: 1, o: 7, h: 2, y: 5}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6*q. Let l(t) be the first derivative of -t**5\/120 + 2*t**3\/3 + 2. Let c(x) be the third derivative of l(x). Determine w(c(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2482 and 329299350.\nAnswer: 2482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 5:52 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -411, 3, 2, 13 in descending order.\nAnswer: 13, 3, 2, -411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -33 times 0.6\nAnswer: -19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 52*n**3 - 2*n**2 + 153?\nAnswer: 156*n**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + sqrt(684) + -5 + sqrt(684) - sqrt(684) - sqrt(684))**2*-5 + -2.\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 21. Which is the nearest to -2\/9? (a) 0.1 (b) j (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 + (21 + (-7 - -26) - 20).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-15520)\/128)\/(-5) - (-68)\/(-4)?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 2*h**2 + 4*h. Let q(u) = -21*u + 146. Let c be q(6). Suppose -7*l - 39 = -c*l. Calculate z(l).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*n + 153*n - 5940 = 0. What is the highest common divisor of n and 2700?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 39. What is the tens digit of 3*1 - (o - 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.31 - -6.31. What is the second smallest value in 0.3, -3, -0.5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -14*g**2 + 3*g + 3. Let h be 3000\/68 + (-4)\/34. Let x(a) = -209*a**2 + 44*a + 44. What is h*f(p) - 3*x(p)?\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i**2 + 2*i + 2. What is the units digit of b(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q + 36 + 18 = 0. Suppose 22 = s + q*x, -8*x = 5*s - 3*x - 85. Calculate the remainder when 441 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3307117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 2)*(-14 + 5 - 22)*(-2 + 45*a**2 - 32*a**4 - 45*a**2).\nAnswer: -1984*a**4 - 124","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -28. Suppose k + 3*a - 86 = 0, -3*k + 0*a + 214 = -x*a. List the prime factors of k.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6875, 13646, 20235, 26552, 32507, 38010, 42971?\nAnswer: 47300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 2 (c) 1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09786 rounded to 3 dps?\nAnswer: -0.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -10640, 2, -4\/7, 1 in ascending order.\nAnswer: -10640, -4\/7, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 2.8 (c) 0.4 (d) -4 (e) -3 (f) -1 (g) -0.054\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 91 (b) -2\/3 (c) 96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - (sqrt(567) + -4 + sqrt(567)))*-4)**2.\nAnswer: -1152*sqrt(7) + 9328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 350 and 1120.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 - 36*o**3 + 36*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = d - 7. Solve 3*k + 12 = -3*q - d, 2 = -2*q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -4. Let g be 4\/q*(18\/(-2))\/(-3). What is the third smallest value in 2\/9, 27, g?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-685)\/1096*(-8)\/50. Which is greater: d or -1.26?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*z + 0*z + 2*z)*(0 - 6 + 1)*(-2 + 5 - 1)*(4*z**2 - 2*z**2 - 4*z**2) to o*z + u*z**2 + w + k*z**3 and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2) + sqrt(2))**2 + 0)*2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/(7250\/(-280))*5\/(-2)*-1.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i - 1. Let f be k(2). Suppose f*b - 13 = -1. Sort 3, b, -2 in decreasing order.\nAnswer: b, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3800 and 684.\nAnswer: 34200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-4) + (12\/(-2))\/24. Let v be 4\/6 - 52\/(-12). Solve -4*y + s + u*s - 7 = 0, -5*y - v*s + 10 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/52*-2*-1?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.2378 + 62.7778. Let s = x + -72. Round s to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/604 and 1\/5.\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 80263937\/6 or 13377322?\nAnswer: 80263937\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 1\/14624085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**3 + 2 + 14*u**2 - u**3 - u - 14*u**2 in the form w + c*u + q*u**2 + s*u**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 456 and 918536?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5376 and 3840?\nAnswer: 26880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.886976 litres?\nAnswer: 886.976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 961 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -334*p + 132*p + 70*p + 4*p**2 + 132*p. Let c(g) = 6*g**2 + 9. Determine s(c(q)).\nAnswer: 144*q**4 + 432*q**2 + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3 - 1 = -2*m, -5*u + 30 = 0. What is the highest common factor of m and 295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 262, 249, 212, 139, 18, -163, -416, -753?\nAnswer: -1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. Suppose 8*y - 40 = 3*y - 5*h, -4*h + 7 = -y. Suppose -13 = -3*x + 2*x - 2*o, 5*x - 70 = -y*o. Solve 5*s + g = -x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 47*m + 2. Let p be f(-2). Let x be (0 + -1)\/(23\/p). Solve -3*l - 4*b + x = 0, b - 24 = 2*l + 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-106)\/10 + 1 + 24\/(-60). Let u(x) = 121*x**2 - 12*x - 23. Is u(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -13. Suppose 1 = 3*f - 8. Suppose -2*u = a + f*a + 2, 0 = 4*a - 2*u - 18. Solve 0*c = -a*c - i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364021 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13435?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119168 and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((56\/(-27))\/(-28))\/1?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16502 is divided by 63?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of ((-2128)\/380)\/((-1172)\/585 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 85, -4, -14 in descending order.\nAnswer: 85, 1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (620\/1395)\/((8\/(-36))\/(-1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-78)*9\/15.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 756.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 373 - 543 = -3*a, -a - 5*i = -318. Let l be 57980\/a - (-2)\/11. Let m = -189 + l. Is m >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 171766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207265554?\nAnswer: 2, 3, 1279417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 23, 0.8, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-15)*120\/84. Find g, given that 8\/7*g + 2\/7*g**3 - t*g**2 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 + (30 - (-210 + 98))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.99 - 1.116. What is the fourth biggest value in d, 2, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 16*b - 44. Give t(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((1*sqrt(484))\/sqrt(11))**2 - (sqrt(55)\/(sqrt(5)*-1) - ((sqrt(11) - sqrt(33)\/sqrt(3))**2 + 1))).\nAnswer: sqrt(11) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2782, -3161, -3782, -4645, -5750?\nAnswer: -7097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18966747?\nAnswer: 3, 17, 371897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 2*n - 5. Let c be k(-2). Are 2 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*p = 2*p + 15, -p = -5*f + 35. Let r be (0 - -2) + f + -5. Suppose -c - 8 = -r*c. Solve -2*l - 9 = -2*v + 7, 5*l - c*v + 36 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from ptppptt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-4))\/2*6\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10329 - 5128 - 4973 + 6965 + 21592 + 16675)*(4*r**3 + 0*r**3 - r**3).\nAnswer: 136380*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 13*q**2 + 29*q - 10. Let p be k(-15). Suppose 16630 = 5*j + p*j. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157 + 5*z + 143 - 300 + z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2. Let i be 4\/(-6) - (-3)\/((-27)\/(-60)). Let t(d) = -13*d + 10*d - i*d. Give t(v(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 - 50. What is the units digit of -3 + (j*100 - -1 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 s, and 1 n when three letters picked without replacement from {s: 5, f: 1, y: 3, n: 1, p: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 - 9*j + 1. Let s be g(-8). Let u(x) = -x**2 - 39*x - 163. Let b be u(-36). Does s = b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56287265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.9, 3\/5, 0.5, 1\/4 in decreasing order.\nAnswer: 3\/5, 0.5, 1\/4, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20638647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 216.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 54*o. Let s(w) = -2*w - 661. What is s(a(f))?\nAnswer: -108*f - 661","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000599 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1376, 1939, 2514, 3101, 3700, 4311?\nAnswer: 4934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s + 60. Let g be i(19). Let d(f) = -f**2 + 6*f - 5. Let r be d(g). Which is bigger: 23\/6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1022 - 0.05\nAnswer: 0.0522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 111006351 times -0.02\nAnswer: -2220127.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008984073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 229 + -117. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 3:25 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290809 is divided by 11177.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120307419100 + 1018.\nAnswer: -120307418082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*n**3 - 8*n**3 + 6*n**3 + (0*n**2 + 3*n**2 - 5*n**2)*(3*n - 3*n - n) - 2*n**2 + 2*n**2 + n**3 + 0*n**2 + n**3 + 0*n**2.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 466 = 6599. Suppose -15*x = -11*x - 12, 0 = k + 2*x - y. List the prime factors of k.\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/2)\/(-1))\/((-612)\/(-918))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17\/13 + -47\/26. Which is the nearest to s? (a) -4 (b) 280 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 35*f - 31*f. Suppose 0 = 5*b + 2*r - 19, b = f*r + r - 7. Suppose 741 = 10*k + b*k. Calculate the greatest common divisor of k and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*u**2 - 2729*u - 17*u**2 + 34*u**2 - 4076*u + 477*u + 2502724.\nAnswer: 4*(u - 791)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2081\/4, 4, -268 in increasing order.\nAnswer: -2081\/4, -268, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, j: 6, z: 3, m: 2, f: 2}. What is prob of picking 3 o?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2968*k**2*s**3 - 22333*k**2 - 32*s**4 - 2 wrt s.\nAnswer: -8904*k**2*s**2 - 128*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, v: 2, w: 3, n: 1, d: 3, h: 2}. What is prob of sequence nwk?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irw when three letters picked without replacement from wriiiwrwwru?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1365, 2738, 4111?\n\"Answer: 1373*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**5\/10 - h**4\/3 - h**3\/6 + 7*h**2\/2 - 3*h. Let a(d) = -d**3 + d**2 - d. Let b(c) = a(c) - r(c). Determine b(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9621 - 47742\/5. Let w = o + -4664\/65. Let j = 51\/91 - w. Which is the closest to j? (a) 2\/7 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7067, -7066, -7065, -7064, -7063, -7062?\n\"Answer: x - 7068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 260450 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/3, -18, -4, -1, -0.08?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, 7, 0.010642?\nAnswer: 0.010642","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 10:41 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**2 - 2*g**2 + 4*g**2 + (2*g - 2*g + 2*g)*(g - g + g) - 3*g**2 + 3*g**2 + 2*g**2 + 5*g**2 + 7*g**2 - 5*g**2 to j + s*g**2 + w*g and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**1\/j)*j)**(-1\/35)*(j**(-4)\/j)\/(j*j**(1\/4)) assuming j is positive.\nAnswer: j**(-883\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/19 + 29\/95. Put c, -5, -2 in ascending order.\nAnswer: -5, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 15*g - 18*g - 2.\nAnswer: -33*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2825415?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**5 + 129*m**4 - 1449*m**3 + 1323*m**2 = 0.\nAnswer: 0, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -177*x**3 - 2*x + 40134 - 5*x**2 - 3*x**2 + 4*x**2 - 40134 to the form u*x**3 + o*x + w + t*x**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + c = -17, 2*i - 4*c - 34 = -0*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318285499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22949\/6 + -3825. Which is smaller: q or 286?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - -6. Suppose 3*h = -0*h + n. Sort -5, -3, h in ascending order.\nAnswer: -5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + -6*(sqrt(72) + sqrt(72) + 2) - ((sqrt(96) + sqrt(96)*-3)\/sqrt(8) + sqrt(12))\/(-4*-3*sqrt(6)).\nAnswer: -863*sqrt(2)\/12 - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 31. Suppose 0 = 3*v + 3*c - 3, -4*v = -3*c + j*c - 7. What is the smallest common multiple of v and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.053082933 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 602 + 41. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436 (base 8) to base 15.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*n = n + 118, 2*u + 82 = n. Let a = u - -41. Put 0, 0.04, a in decreasing order.\nAnswer: a, 0.04, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3913.8 + -4480. Round d to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 8:05 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74643215 to the nearest integer?\nAnswer: 8640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -1. Let s(p) = p. Determine -r(z) - 6*s(z).\nAnswer: -6*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*o + 36 = -6*o, -5*o - 20 = 0. Put h, -3, 5 in descending order.\nAnswer: 5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - l + 3*l**2 - 2 - 2*l**2 - l. Let s be t(3). What is the tens digit of (-264)\/(-15) + 4\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 354 by 3.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167461*q + 167579*q + 3179 - 819 = 0 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -103*u - 106. Give b(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133 (base 11) to base 2.\nAnswer: -10011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -299*y**4\/24 - 17*y**3\/6 + 3*y**2. Let i be 4\/1 - (19 - 9). Is b(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -79*w - 4802. Let g be p(-61). Let m be (-2)\/4 + (-207)\/(-6). Let j = m - g. What is the greatest common divisor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 - a**4 + a - 13*a**3 + 13*a**3 in the form t + y*a**3 + u*a**4 + m*a + k*a**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6 - 5 - 2. Let i(r) = r + 7. Let x be i(-8). Let n(h) = 2*h - 1. Let p(a) = -a**3 + 6*a**2 + 6*a + 9. Let v be p(7). What is v*w(b) + x*n(b)?\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -886 + 600026222.\nAnswer: 600025336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284900 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v - v + v. Let i(q) = -7*q - 4. Let y(f) = 48*f + 40. Let x(g) = 10*i(g) + y(g). Calculate c(x(h)).\nAnswer: -44*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24\/67 + -1637\/268. Let p = -6 - y. Sort 0.2, 1\/2, p.\nAnswer: p, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -bbc?\nAnswer: -bb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14024 (base 5) to base 15.\nAnswer: -50e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 8*h + 4. Let y be g(-8). Determine w so that 0*w**2 + y*w - 4*w**3 + 8*w**2 + 0*w**2 + 8*w**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1576*w + 2326*w + 1 - 3 as z + h*w and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5 - 10*f**2 - 8*f**2 + 13*f**2 - 5. Let i(k) = -234*k**2. What is t(i(d))?\nAnswer: -273780*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 9*k - 3*s + 12 = 0, -5*k = -s - 12. Calculate the remainder when 429\/9 - 4\/6 is divided by 1 + k + -7 - 2 - -22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67 + -54 + 21 - -56?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22243, -88955, -200135, -355777, -555875, -800423?\n\"Answer: v**3 - 22240*v**2 + v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2261.\nAnswer: 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -83514770 to the nearest 100000.\nAnswer: -83500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 a when three letters picked without replacement from anynana?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*z - 19 = 0, j = 3*j - z - 7. Factor -5 - 2*g + 4*g**j + 0*g + 2*g**3 + 1.\nAnswer: 2*(g - 1)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-54))\/(174\/522)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/3)\/((-1)\/3). Let b(g) = -g**3 - 4*g**2 - 3. Let m be b(-4). What is the units digit of ((-12)\/z)\/(m\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 - 0.7. Let k = 218 + -200. Let f = k + -18.4. Which is the fourth smallest value? (a) 5 (b) g (c) f (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174 + 888 = -118*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/5, 15, -0.26 in decreasing order.\nAnswer: 15, 1\/5, -0.26, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 13*g + 14. Let v be l(11). Let m(w) = w + 6. Let t be m(v). Let k be (t\/6)\/((-6)\/(-9)). Which is the closest to k? (a) -1\/2 (b) 1\/6 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -132 + 132 + 90*z + 2*z**2 in the form m*z**2 + w*z + s and give w.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r + 506 = 31*r. What is the remainder when 1055 is divided by r?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - 3*h**2 + 4*h**2)*(-2 + 4 + 0)*(-h + 3*h + 0*h + (2 + 0 - 1)*(0*h + h + h) - 2*h - h + 4*h - 1 - h + 1).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 12*m - 33. Let v be 3*(1\/(-1) - -2). Let z = m + v. Solve -2*x = -z + 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99*b*q**3*t + b*q - 13613*b - 504*q**3 + 841*q**2*t + 10*q*t + 285*t wrt q?\nAnswer: 594*b*q*t - 3024*q + 1682*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-6)*(8 + 1211\/(-154)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 196.299997766 - 196.3. What is s rounded to 7 dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3636360 (base 8) in base 16?\nAnswer: f3cf0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 7 = 3*n, -2*i + 0 = 4*n - 18 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*i + 115*i + 75*i - 55*i to r*i + x and give r.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5*u - 35 = 0. Let w = 2 - u. Let j = w + -2. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 3:49 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-8) - (-780)\/240. Suppose w*b + 267 = 1879. List the prime factors of b.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x + 10. Let r(p) = -2. Calculate -f(y) - 3*r(y).\nAnswer: 5*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 31 = -2*s, 0 = 5*g - 2*s - s - 29. What is the units digit of (-351)\/(-21) - (-2)\/g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56531380 is divided by 364?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -7 - 4 - 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (1 + 1 + -1). Solve -6 = -h*j - 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6924*w = -7894*w - 23280 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 0, -27, -64, -105, -144, -175, -192, -189?\n\"Answer: l**3 - 11*l**2 - l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 2*c = -4*u - 25, 3*u + 21 = -3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 255840 and 2288.\nAnswer: 2814240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**2. Let d(v) = -240463486*v. What is d(y(x))?\nAnswer: -721390458*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -1106*h - 12213. Give d(-11).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c**3 + 202*c**2 + 7221*c + 7020 = 0. Calculate c.\nAnswer: -156, -45, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33704 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*a**3 + 26*a**3 - 23*a**3.\nAnswer: 30*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -886.9 + 887. What is the nearest to i in 2\/49, -4, 0.5?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyr when four letters picked without replacement from yyyxxyyxrxxxyry.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 11*r**2 + 11*r - 11. Let z = -216 - -226. Determine t(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 1565 - 445 = 0. Let r = q - -221. Suppose -2*n + 4*o = o - 132, -n + 5*o = -73. Which is smaller: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-11))\/(((-1610)\/(-770))\/23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 7*t**2 + 22*t - 60. Calculate v(9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -25. Let r be (1\/(-6) + h\/12)\/1. Solve r*k - 5 = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25.4 - 25.40000301. What is b rounded to 7 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - q. Let d(i) = -6*i**2 + 6*i. Suppose -3*w = 5*r - 47, -41 - 15 = -7*w - 4*r. Suppose -2*c = -5 - 39. Calculate c*h(p) + w*d(p).\nAnswer: -2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 35*r - 531. What is i(15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 5*y + 331018 - 331112, 0 = -5*y - 90 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3\/3 + 986*i**2 + 2964*i = 0. What is i?\nAnswer: -3, 0, 1482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*c + 2 - 16*c + 4*c**2 - 3*c**2 to the form q*c**2 + w*c + r and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4*l = 7, 8*a - 11*a - 4 = -5*l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2425*r + 41212. Calculate g(-17).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186 and 33294?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.054 or -20287?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2278910, -2278903, -2278890, -2278871?\nAnswer: -2278846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -630 (b) -3 (c) -1 (d) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(((-64)\/160)\/(4\/10)). Sort n, -19, -2, -1 in decreasing order.\nAnswer: n, -1, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -19*o - 1. Let m(c) = -60064*c. Give q(m(g)).\nAnswer: 1141216*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 88.06, -0.3, 3\/5, 3\/4, 1699?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4 + 15416*x**3 - 92604*x**2 + 138960*x.\nAnswer: 4*x*(x - 3)**2*(x + 3860)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 281*z - 90*z - 98*z - 94*z. Let b(s) = 189*s**2. Calculate y(b(f)).\nAnswer: -189*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -4. Suppose 0*w = 4*w - 48. Suppose 6*m - m + 23 = 4*b, -4*m = w. What is the remainder when x is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50810413.\nAnswer: 1049, 48437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gqggagyqzqyjyqq. Give prob of picking 2 q, 1 z, and 1 g.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/p**(-2\/17)*p)\/(p**(-1)*p))\/(p\/(p*p**(-8)*p)*(p\/((p\/(p*p**(-2\/5)))\/p))\/p))**12)**(2\/9) assuming p is positive.\nAnswer: p**(-3728\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*c**4 + 74*c**3 + 24*c**3 - 98*c**3 - 35)*(-2 + 2 - 4).\nAnswer: -80*c**4 + 140","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 less than -450710990?\nAnswer: -450711002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*q - 145*q - 228*q.\nAnswer: -456*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(109*g - 911 + 911) + 2*g + 0 + 0 - 5*g - 3 + 6*g + 1.\nAnswer: 221*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 22*f - 3 + 16*f)*(2*f**2 - f**2 + f**2).\nAnswer: 80*f**3 - 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 643*b - 39502 + 4137 for b.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -200 + 401\/2. Let t = 11 + -8. Put 1\/6, 1, g, t in decreasing order.\nAnswer: t, 1, g, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h - 60. Let n be g(-10). Let o = n + 117. Suppose o = x + 25. Solve -r = x*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-67)*188739\/1878.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -13, -48 in descending order.\nAnswer: 1, 0, -13, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 8:37 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9230*q**3 + 76*q**2*s**2 - 2*q*s**2 + 2*q*s - 7*q - 2*s**2 - 3938*s wrt q?\nAnswer: -55380*q + 152*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37701490 is divided by 120?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 211*t**2 - t + 1. Is o(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9 take away 28?\nAnswer: -30.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3220 at least -344616\/107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 3*t = -3, -10*n - 2*t = -220 + 218 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 7742?\nAnswer: -7742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 12:58 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - h**2 - 2*h + 2. Let v = -8 + 6. Let z(i) = -4*i**3 + 3*i**2 + 7*i - 7. Let l(s) = v*z(s) - 7*n(s). Factor l(t).\nAnswer: t**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 265, 596, 1059, 1654, 2381, 3240?\nAnswer: 4231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 7*q**2 + q - 4. Let d be m(7). Solve -3*s + 2*s - 15 = -5*p, 5*p = d*s + 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*i - 13, i = 4*s - 8 - 15. Suppose 5*z - 5*x + 10 = 0, -6*z = -z - 2*x - s. Let b(q) = 2*q + 19 - 25 + 8 + q**3 - 5*q**2. Calculate b(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 1300 = -3*k, -2*s = k + k - 864. Calculate the highest common divisor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 298654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 1 + 24\/18. Factor -r - 1\/3*w**2 + 4\/3*w.\nAnswer: -(w - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1175303000 to the nearest 1000000.\nAnswer: 1175000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(500) + 1 + sqrt(500) + 5 + ((sqrt(20) + sqrt(40)\/sqrt(2) - sqrt(20))*-5)\/(2*sqrt(576)).\nAnswer: 4 + 475*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3104524187?\nAnswer: 4549, 682463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, r: 7, k: 2, t: 1, a: 1, e: 2}. Give prob of sequence tk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + 4*(sqrt(91) + (sqrt(91) - (sqrt(91) - 1*sqrt(91))) + sqrt(91)) - -3*sqrt(91)*-1)\/(3*sqrt(175) - (sqrt(175) - sqrt(7))*-3).\nAnswer: 10*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p**1\/p)\/p)**(4\/15)*(p*p\/p**(3\/2))\/p*p*p**(-4)*p assuming p is positive.\nAnswer: p**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*h**3 + 4 - 5*h**3 - 8*h**3 + h**3 with respect to h.\nAnswer: -63*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -700023*p**2 + 36*p**3 + 350006*p**2 + 350015*p**2.\nAnswer: 36*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 6*z + 4. Let s be r(3). Let t = 7 + -10. Let f = -57309 - -171926\/3. Which is the nearest to f? (a) s (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrdo when four letters picked without replacement from roudhcdordo.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcfffcffcccfffkfc. What is prob of picking 1 f and 1 k?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 + 6.96. Let b = f + -7. Let h = b + -0.11. What is h rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9499390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kook when four letters picked without replacement from ookoooookkokoo.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.8 - -7. Let z = r - -1. Let n be (-2)\/4 + 10\/36. Sort -1, n, z in increasing order.\nAnswer: -1, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 36 - (2503 + -2526).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 62276?\nAnswer: 5\/31138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 104ab90?\nAnswer: 104ab92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 + 83 + 2 + -6 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00738969 to four dps.\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w - w + 4*w**2 - 7*w**2 + 3*w**3 + (w - w**2 - w)*(w - 3*w + 4*w) - 56*w**3 - 15*w**3 + 43*w**3.\nAnswer: -27*w**3 - 3*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212\/265*(-1)\/(-2) - 8490\/(-150).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13887 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**(-13)\/(((r\/r**(-6))\/r)\/r**(3\/7)))\/((r\/(r\/r**(-7)*r))\/((r**(3\/2)*r)\/r))**(-10\/7) assuming r is positive.\nAnswer: r**(-225\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*s - 305*s + 2480 = 0. Sort -2, -1370, s in descending order.\nAnswer: s, -2, -1370","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 5*j - 42 + 9, 194*j - 189*j = -3*g + 47 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 - 6905*p + 3416*p + 3489*p.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2821 and 223262.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 337*o + 12059. Determine v(-36).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3 + 340*z**2 + 1742*z + 1400 = 0. What is z?\nAnswer: -4, -1, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1. Let u(z) = 7*z**2 - 44*z - 190. Let a(r) = u(r) + 3*v(r). Is a(-30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 622897 (base 10) in base 13?\nAnswer: 18a6a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 - o**2 - 9*o + 1. What are the prime factors of r(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**50\/(((a*a**3)\/a)\/((a**(3\/7)*a)\/a)))\/((a\/(a*a*a\/(a**(1\/2)*a)))**(-1\/2)\/(a*a**(5\/3)*a**(1\/2))) assuming a is positive.\nAnswer: a**(29\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31041 - -140502?\nAnswer: 201543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1422 and 330.\nAnswer: 78210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/17 (b) -0.3 (c) -6 (d) 16 (e) 0.5 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -27.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21577 + -9403. Suppose 3309 = -9*v + z. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007664 to five dps.\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 844*x - 744198 = -8509*x - 9729*x for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -29*f + 0 + 2 + 42*f - 14*f. Let v(p) = 2*p - 2. Let o(u) = 2*j(u) + 3*v(u). Let t(g) = -3*g + 2. What is -4*o(i) - 5*t(i)?\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**5 - 12*z**4 - 14*z**3 + 12*z**2 + 16*z = 0.\nAnswer: -4, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5099 - 5082.39. Round i to zero decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001043 to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -5, 2, -9, 0.049?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*(o*o**0)\/o))\/o**1)\/((o\/(o*o**(3\/2))*o*o)\/(o*o*o\/(o*o**(1\/6)\/o*o))))**(-2\/15) assuming o is positive.\nAnswer: o**(-2\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16206671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11132 + 12?\nAnswer: -11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 10:41 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 97?\nAnswer: -9.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by ((-13)\/11 - -1) + 9595\/1045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32517 and 29817?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*n**(12\/7)))**(-40)*n**(-25)*n**18 assuming n is positive.\nAnswer: n**(151\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s + 5 + 12*s**2 - s + 46*s**2. Suppose 201*r - 3*r = -221*r - 1257. Is z(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 5 - -1463 - 2*(0 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/3 - 16\/3*a - 16\/3*a**3 + 8*a**2 + 4\/3*a**4 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14\/5 + 32\/15. Let h = 24 - 27. Let m(t) = -2*t**3 - 6*t**2 + 2*t + 4. Let c be m(h). Put -2\/7, c, g in ascending order.\nAnswer: c, g, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 - -5?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -j - 5. Suppose j*t - 3 = 2. Differentiate 4*n**3 - 6 + 4 + t with respect to n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 0*y + 13*y - 53 - 4*y. What is the remainder when t(18) is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 - 3*l**2)*(8*l**2 - 2 - 8*l**2 - 5*l**3)*(-2 + 4 - 3).\nAnswer: -15*l**5 - 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222, 248, 274, 300?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1077 + -575. Suppose 3*d - 3660 = -3*d. Suppose a = 8*s - d. List the prime factors of s.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -3, 134, -5, 3 in descending order.\nAnswer: 134, 5, 3, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0594 and 50210.\nAnswer: -2982.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41568 in -2, -5, 2\/7, 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*t - 2*t + 2*t)*(0 - 4 + 3) + 9188*t + 7599*t - 14651*t + 0 + 0 - 2*t)*(-t - 6*t + 3*t) in the form g*t + f + a*t**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/32)\/((-352)\/(-88)*(2\/40)\/1)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 240\/540*6\/(-4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-8)*-7*32\/616. Which is the closest to 7? (a) t (b) -3 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-2 + (-2 - (0 - 2)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6217259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.47 - 0.57. Sort 0.2, k, -2, -0.3 in ascending order.\nAnswer: -2, -0.3, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 = -26. Suppose 2*t - 6*t = 2*s - x, -t = 3*s. What is the highest common divisor of t and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 18 - 10*d - 1 - d. Let y(u) = 11*u - 16. Let o = -632 + 637. Let s(c) = o*b(c) + 6*y(c). Differentiate s(t) wrt t.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -36178699, -72357399, -108536099, -144714799, -180893499, -217072199?\n\"Answer: -36178700*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 + -0.06. Which is bigger: 4\/3 or v?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3292672, -6585382, -9878092, -13170802, -16463512, -19756222?\nAnswer: -23048932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + sqrt(343) + sqrt(343)) - sqrt(343) - (2 + sqrt(343)*-1)) + 5.\nAnswer: -2 + 70*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4096 + -79.\nAnswer: -80.4096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 7:18 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00708043 rounded to five dps?\nAnswer: -0.00708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45824 and 243440?\nAnswer: 3895040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 6. Suppose -9*g = -4649 + 1859. What is the tens digit of 3\/(f\/g) + 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 2*i - 16 = 0, -5*w - 6 = 22*i - 18*i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 456 and 174.\nAnswer: 13224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.04498+-9655486\nAnswer: -9655485.95502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s - x + 127200 = 127237, -1 = -3*s - 2*x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 25, 2*s = 5*n - 13 - 12. Is 5\/n - 1 - (-2178)\/126 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, n: 6, e: 1, s: 3, c: 3}. Give prob of sequence el.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 6 - 1. Let u(t) = -51*t + 1531. Let g be u(30). Which is the closest to g? (a) y (b) -7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1208 + 1806. Suppose -5*m + q = p, 2*p + 173 = 2*m - 71. Suppose -x - m = -3*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**2 - 8*y + 14. Let k be n(2). Solve -4*m + k*m = -20 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171049607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r**2 + 72*r + 210. Give z(-8).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l + 42*l**2 + 33*l**2 + 2*l**3 + 1 - 80*l**2 to c*l**2 + w*l + a*l**3 + g and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, j: 3}. Give prob of sequence jj.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41\/12 - -11\/3. Let m be (15\/9)\/(1\/(-3)). Which is the second smallest value? (a) m (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (1 + (0 - 2)). Let l = 8 - m. Suppose 4*v + 8 = -3*c, 7*c = l*v + 3*c - 21. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 983 is divided by 486.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 5*t - 4 + 27 - 52, -7*t = 100*i - 4*t - 215 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 37879 divided by 148\nAnswer: 37879\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/71534 and -67\/6088.\nAnswer: 286136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9\/10 of a minute?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*l = 126*l + 96 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5007978043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w + 2 - 16 = 34*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wpp. What is prob of picking 1 w and 1 p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24236*c - 12052*c + 82*c**2 - 11951*c - 316 + c**3 = 0 for c.\nAnswer: -79, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 2*c - 3*c)*(-3 + 5 + 1).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 91322.56 weeks?\nAnswer: 15342190.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 64*v + 8 + (-2 + 1 + 0)*(3 - 3 - 2*v))*(-5*v + 3*v + 3*v) + 0*v + 0*v + v**2 as t*v**2 + b + p*v and give t.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, r: 2, j: 1, u: 2, a: 1}. What is prob of picking 2 r and 2 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -9*w**2. Let j(f) = -f + 30. Let k be j(19). Let q(o) = -9*o**2 + k*o**2 - 5*o**2. Calculate q(v(c)).\nAnswer: -243*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2107*n = -1099*n - 1145*n - 4521 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 5:46 PM?\nAnswer: 529","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*o = 195*o - 23695. Suppose -61*t + o = -54*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**2\/4 + 15732471*m\/4 = 0.\nAnswer: 0, 15732471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(351)*1 + sqrt(351))\/((sqrt(243) - sqrt(243)*-1 - sqrt(243)) + sqrt(3) - sqrt(3)))**2.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a + 9*a + 7*a - 17*a. Let f(x) = 0*x**2 - 3*x**2 - 2 - 1. Let t(g) = -9*g**2 - 8. Let r(k) = 8*f(k) - 3*t(k). Calculate y(r(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 225, 228, 229, 228?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*q - 16. Let l(t) = -5*t**3 - 2*t - 1. Let g be l(q). Suppose 3*r + 2*v + 100 = g*r, 0 = 2*r - v - 66. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1 (c) 5 (d) 113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = g - 10. Suppose 17 = g*d - 1. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6377 - 6374. Calculate the remainder when 663 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11246003 equal to -11246001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**6\/120 + w**5\/5 - w**3 + w**2. What is q(12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 2*p + p - 9, 6 = 2*p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = g - 4. Suppose -2*b + g*j - 2 = 0, j - 2 = 4*b - 13. Let k be (-1)\/b + 57\/84. Sort 4\/7, k, -2 in descending order.\nAnswer: 4\/7, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5)\/(c*c**5)*(c**1\/c)**(13\/2))**25 assuming c is positive.\nAnswer: c**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q**(5\/2)*q)\/q))\/q**(2\/5))\/(q*q*q**(2\/9)*q**(-1)))\/((q*q**(-5))\/(q\/((q*(q*q**(-5)\/q)\/q)\/q)))**(-46\/5) assuming q is positive.\nAnswer: q**(-9389\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + 604 + 143*l**2 + l - 598 in the form m*l + q + s*l**2 and give s.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 673, 1333, 1993, 2653?\n\"Answer: 660*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.0562203 - -2.9.\nAnswer: 7.9562203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 2\/(8\/(-28)). Solve -t*w - 6 = d - 1, -5*w = -2*d - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 15*p**2 - 7*p - 26. Let g be u(14). Let j = g - 71. Calculate the smallest common multiple of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 + 26 - 5*v)*(-5*v**2 + 2*v**2 + 2*v**2 + (2*v + 0*v - v)*(-80 - 16*v + 80)) in the form c*v**2 + r*v**3 + w + b*v and give r.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*z - 9*z + 12, z = -2*t + 9. Suppose t*y = 4*j + 1204, -y + 4*j = y - 800. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -69*q**3 - q**2 - 10*q - 103. Is m(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 41886, -2, -2\/7, 3, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-6)\/24*(-2)\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1088 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 3*p - 2 = 0, -73*p = 5*d - 68*p - 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 0, -p + 2139 = -0*t + 3*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 7 = -5*d + 2*n, 0 = 96*n + 288 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -1, -6, 0.9, 1\/2, -23\/19?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7 + 4\/(((-6)\/(-27)*3)\/2). Let q be ((-3)\/(-2))\/((-6)\/(-48)). Suppose 5*c - q = -2. Put -2, c, w, 3 in decreasing order.\nAnswer: w, 3, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 682969, 1365612, 2048257, 2730904, 3413553, 4096204?\n\"Answer: u**2 + 682640*u + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70447*f**3*l**3 - 18*f**3*l + 13*f*l**3 + f*l**2 + 2*f + 19039*l**3 + 2*l - 2 wrt f.\nAnswer: 422682*f*l**3 - 108*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8bd + 3?\nAnswer: 8c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.418 - 0.51. Round c to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5301975 divided by -50495?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 104 = -9. Let w be -13*(4 - (k - 4)). Suppose m = -49 + w. List the prime factors of m.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -83274.8767 to the nearest integer.\nAnswer: -83275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (315\/42)\/(219\/584).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -111, -63, 2.\nAnswer: -111, -63, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2. Let a(x) = -30*x**2 + 10*x. Suppose 3*k - k = 2*i, -12 = -2*k - 2*i. Let y(g) = -10*g**2 + 3*g. Let c(b) = k*a(b) - 10*y(b). Give f(c(u)).\nAnswer: -200*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*d - 66 + 15, 2*d = 3*u + 167. Let o = -53 - u. Solve -o*b + 3 = 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 73*i**9\/504 - 31*i**8\/336 - i**5\/30 + 1253*i**4\/24 + 2*i**2 + i + 759. Find the third derivative of f(d) wrt d.\nAnswer: 8760*d**3 - 1860*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + h - 12154 = -95525, 41669 = -2*y + 5*h. Is y\/(-8) + -2 + 3\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -293*v**2 - 29 + 286*v**2 + v - v + 0*v to g + w*v + z*v**2 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 + 372. Let k = z + -164. What are the prime factors of k?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(240) - (2*(sqrt(240)*-1 + sqrt(240) + sqrt(240)) + sqrt(240)))\/(2*sqrt(1728) + -6*sqrt(108)).\nAnswer: 10*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 0. Let u(n) = 11*n**3 + 4*n**2 - 4. Let z(s) = -21*s**3 - 7*s**2 + 7. Let b(f) = 2*f**2 + 136*f + 956. Let o be b(-60). Give c*u(x) + o*z(x).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 3*q**2\/2 + 20*q + 7486. Give o(10).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -23*r**3\/6 + 36*r. Let l(j) = -4*j + 3*j + 2*j - 2*j. Determine l(x(i)).\nAnswer: 23*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + i - 2)*(-37*i - 71*i + 29*i)*(2 - 2 + 3).\nAnswer: -237*i**2 + 474*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146624 and 14208782?\nAnswer: 4582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.647 - 0.153. Let u = 17 + j. Let q = -4.153 + u. Round q to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**3 - 14260*f**2 - 4*f + 14260 = 0. What is f?\nAnswer: -1, 1, 3565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2 + 6*l - 7. Let k(m) = -9*m**2 - 12*m + 15. Let v(a) = -7*b(a) - 3*k(a). Let i = 16 + -22. Let t be v(i). Put t, 0, -1\/5 in ascending order.\nAnswer: -1\/5, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(4\/21)*v)*v\/(v\/v**(-4)))\/((v\/v**(1\/13))\/(v**(-30)\/v)) assuming v is positive.\nAnswer: v**(-9859\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -10*w + 7*w. Suppose -4*v - g + w = -3*g, 5*v - 30 = 5*g. Suppose -6*y + v*y = -k + 885, k + 2*y = 891. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -11. Let m = -137 + 167. Let x be m - (o + 4\/2)*0. What is x rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6230501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 greater than 202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11612 divide 405607160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -166.16 + 3.16. Let q = -89 - v. Let n = -73.8 + q. What is the third smallest value in -3, n, -8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1120 + -131?\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -328047 (base 15) to base 11\nAnswer: -13a3aa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -s + 2. Calculate the highest common divisor of s and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z. Let x(n) = -18*n**2 + n. What is -r(q) + x(q)?\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10438563, -10438548, -10438533?\n\"Answer: 15*h - 10438578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-4 + sqrt(80) - sqrt(80))*6*2 + 4*(sqrt(80) - (sqrt(80) + -3))*-2))**2.\nAnswer: 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37937745.\nAnswer: 3, 5, 67, 12583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -44*t + 114. What is v(2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 243 - 727\/3. What is the nearest to k in 1, 0.1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-18 - -52) - (-27 - -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 226871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(2\/9)\/y))\/y**(-1\/4))\/(y**(-2)*y**(-3)) assuming y is positive.\nAnswer: y**(253\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5193224 or -5193237?\nAnswer: -5193237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (29 - 6) - (2 + 30) - -4?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (6 + (1 - 7 - -5) + -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008893 rounded to 7 dps?\nAnswer: 0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**3 - 35*x**2 + 10*x**3 + 29*x**2 + x - 3*x to r*x**3 + d + m*x + l*x**2 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*j + 5 = 0. Suppose -x = -4*n + 8, n - 13 = -j*x + 10. Suppose -2*s = -x*s + 30. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*s + 1 = 47*s. Let a = 8 - s. What is the highest common divisor of a and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7817.\nAnswer: 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 16, f: 2}. What is prob of picking 3 t?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*(-4 + (0 + sqrt(704))*5)*-5.\nAnswer: -240 + 2400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1712 is divided by 59.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 15*f = 192 - 12 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/11*l**5 - 2\/11*l + 4\/11*l**3 - 2\/11 + 4\/11*l**2 - 2\/11*l**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-8)*-4 + 5. Suppose h*v - 80 = -2*v. What is the second derivative of r**5 - v*r + 11*r**4 - 5*r**5 - 11*r**4 wrt r?\nAnswer: -80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, 0, -6\/13, -95?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 5 - 10 + 0 + 609*i in the form k*i + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 278 + -643. Let x = y - -384. What is the remainder when 263 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*s + 103 - 12926 - 14129 = -2042 for s.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3\/2, -0.4, 0.5, 2\/115?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 8*q + 12 = 0, r + 2*q - 12 = 6*q. Let m = 1 + -3.6. Sort m, 5, r in descending order.\nAnswer: 5, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 15, -4*i = -4*w + 14 - 66. Suppose -7*o - 8 = -29. Calculate the remainder when -2*82\/(-12) - 2\/o is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n**3 - 27*n**2 - 32*n - 18. Let f(c) = -2*c**3 + c - 2. Let g(o) = 3*f(o) + t(o). Give g(28).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448230 is divided by 111908?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.23 (b) 7\/2 (c) 21 (d) -0.5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 10. Let g be u(-9). What is the first derivative of 621*h - g*h**3 - 621*h + 21 wrt h?\nAnswer: -57*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 q, and 1 k when four letters picked without replacement from {o: 2, h: 2, i: 1, k: 3, q: 3, b: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(272)*5 + 6*sqrt(272).\nAnswer: 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + n**2 + 1. Let i(w) = -2*w**3 + 5*w**2 + 5. Let c be (32\/(-4)*1)\/2. Let u be c\/(-8)*(1 - 3)*-5. Determine u*q(l) - i(l).\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*n**2*t**5 + 4*n**2*t**2 - 41887*n**2*t - 6*n**2 + 3*n*t**2 + 3213480*t**3 + 5*t**2 wrt t?\nAnswer: -1680*n**2*t**2 + 19280880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + 33. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8235622 (base 10) to base 13.\nAnswer: 1924765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31527 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000826904 to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*u - 28*u + 1524. Let p = 890 + u. List the prime factors of p.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iivv when four letters picked without replacement from {v: 12, i: 6}.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1bcb73 (base 14) to base 7\nAnswer: 11314403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0.1768 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (5 - (-3 + 6)) + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (3 - -4) - 4 - 17.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 26851 and -0.042490445.\nAnswer: 26850.957509555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 - 48. Is (0 - 1)\/(o\/(-5679)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 1100*d - 1098*d - 4*d**2 + 2189*d to the form j*d**2 + w*d + k and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**4 + 0*x**4 - 2*x**4 + (-25*x**3 - 31*x**3 + 45*x**3)*(-17*x - 21*x + x).\nAnswer: 408*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005158293 rounded to 4 dps?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.080757 rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*r + 87*r + 136 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 equal to -1062157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 85*n - 86*n - 2*a, -4*a + 8 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y + 180*y + 241 = -34*y. Let q = 12 + -7. Which is the closest to -1\/3? (a) -3 (b) y (c) 0.4 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55316 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12807456257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 4*l + 13. Let f be b(-6). Let z be (-504)\/70*(-378)\/20. Let y = -136 + z. Which is bigger: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, x: 3}. What is prob of picking 2 b and 1 x?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 984759.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from evudpurprruuurur.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/10 and 53\/82572?\nAnswer: 412860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -4. Let a = f - 0. Suppose 15 = -8*n + 3*n, a*d - 50 = 4*n. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 13*s**2 - 9*s + 9. Give h(-14).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 724696 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-6) - (-14)\/(-4). Let b be y\/3 - 14\/21. Sort b, 5, -4 in decreasing order.\nAnswer: 5, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -633073085\/546 + 1159474. Let g = 7\/13 + v. Which is bigger: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126)\/180*35*-1*(-4)\/28?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**2 + c**2 + 3*c**2)*(-c + 2*c + c) + 2 - c**3 - 2 + (-c**3 + 4*c**3 - 7*c**3)*(5 + 1 + 3).\nAnswer: -41*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a factor of 580111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87204764.\nAnswer: 2, 17, 1282423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 z, and 1 k when four letters picked without replacement from {b: 3, k: 1, z: 3, q: 1, h: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -1\/6*d**3 + 101 - 719\/2*d**2 - d. Let w(t) = -2*t. Calculate w(g(b)).\nAnswer: 2*b + 1438","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = p + 94, 3*p - 7*p = d + 85. Let k(v) = v**3 - 11*v**2 - v + 12. Let j be k(10). Which is smaller: d or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*b - 4664 + 122866 - 6298. Calculate the highest common factor of b and 4304.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8057 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-5))\/(2\/(-10)). Let o(j) = 4*j**2 - 16*j - 16. Let u be o(5). Let a(f) = -f - 5 + 0 - w - u. Determine a(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14861 is divided by 14859.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 + -59.6. Let z = 12 + -7. What is the second biggest value in b, 2\/11, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 0.02 (c) 13 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 496*t**2 + 4*t. What is the units digit of d(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/8206 and 17\/10?\nAnswer: 41030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3)*-2 + -2)*2.\nAnswer: -4*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160\/(-280)*42\/228.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -338*w + 33. What are the prime factors of y(-3)?\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t + 33. Let g(z) = 3*z - 35. Let u(c) = -4*g(c) - 5*l(c). Calculate u(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 13, -0.5, -0.2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 2\/17, 1, 35?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15056281 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 150\/39 - ((-11)\/(-13) + -1). Suppose -55 = q*v + 313. Let o = v + 102. What is the highest common factor of o and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -1207?\nAnswer: 4\/1207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/444 and 97\/416?\nAnswer: 46176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -133 - -667\/5. Let 0 + 0*h + 0*h**3 + 2\/5*h**2 - r*h**4 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -7 - -1 - 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51592985*j**3*m + 2*j**3 - 12744*j**2 + 835*j wrt m.\nAnswer: 51592985*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 809472 and 139128.\nAnswer: 8904192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 3056649*z + 12226612.\nAnswer: -(z - 3056653)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*40\/56*6\/(-10).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 70192 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express s - 2*s**4 + 0*s**2 - 1 - 1 + 5*s**2 as g*s + m*s**4 + b*s**2 + u + k*s**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 26, 1\/7, 1722, 2\/7, -0.05, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 59272+-329.9\nAnswer: 58942.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1102000021121 (base 3) to base 14\nAnswer: 15691d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*b = -304. Let j = b + -54. What is the common denominator of (-4)\/j + (-4782)\/198 and -9\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/317, 7, 1\/3, -148, 0, 2\/11, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -174, -154, -98, 12, 194, 466, 846, 1352?\nAnswer: 2002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1788*w - 2*l + l = 1786*w + 22, -4*w - 3*l - 46 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 454*v**3 - 948*v**2 + 24*v - 55. Determine q(2).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**6\/45 + p**5\/10 - p**4\/3 - 5*p**3\/6 + 24*p. Let c(o) be the second derivative of w(o). Is 14 a factor of c(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 - -45. Suppose -2*r - 3*r - 3*l + 347 = u, 5*r - 3*l = 353. What are the prime factors of r?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b4 + 20cb4?\nAnswer: 20d88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**4\/4 + r**3 + 8*r. Factor h(a).\nAnswer: -3*a*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.151743362 rounded to five decimal places?\nAnswer: 0.15174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 3*c = 1, -4*c + 3*c = -t - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 876270?\nAnswer: -876267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 0 - 7\/4*h**4 - 1\/8*h**5 + 1\/720*h**6 + 0*h**2 + 0*h**3 + 2*h. Let j(s) be the third derivative of l(s). Calculate j(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -14*f - 6. Let u(p) = 1. Give s(h) + 6*u(h).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 3. Let o(q) = -q + 7. Let p be o(0). Let j be s(p). Factor 0*m - 2\/9*m**2 + 0 + 0*m**3 + 2\/9*m**j.\nAnswer: 2*m**2*(m - 1)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -995 + 1000. Solve -4*g + 28 = -m*l, -3*l - 10 = g - 0*l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.2? (a) 5 (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(85)*2)\/(3*sqrt(10)\/sqrt(2))*-1 + (sqrt(136) + ((sqrt(136) - (-2*sqrt(136) + sqrt(136)))*-6 - sqrt(136)))\/(sqrt(88)\/(sqrt(11)*1)))**2.\nAnswer: 11492\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 32*g - 491. Suppose 0 = -5*n + 14*n - 1089. Calculate the remainder when n is divided by j(-44).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2053381.7 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-14) + (-117)\/(-63). Suppose -i + m + 3 = 0. Solve -i*f + f = 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*t**2 + 194*t**2 - 61*t**2.\nAnswer: 38*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 827838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*j**3 + 205*j**3 - 1016*j**3.\nAnswer: -1089*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(5\/3)*b)**19*(b**(-13))**(1\/10))**(2\/5) assuming b is positive.\nAnswer: b**(2051\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-3*sqrt(33))\/sqrt(11) + sqrt(108)\/sqrt(9))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384 + 400 = -2*t - 5*i, 17 = -5*t - i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/5 (b) -14 (c) 2 (d) -5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 12620 = -69120. What is j rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 206 = -5*y, -2*k - 88 = -0*y - 2*y. Let t = 5471 + -5437. Let m = y - t. Solve -m = 5*n + 17 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -6. Let j(g) be the second derivative of 7*g**4\/12 - g**3\/3 + 3*g**2\/2 + 471*g. Is j(k) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4471345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 780 and 47220.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 3*b + 130 + 317, -c = 3*b - 75. Calculate the remainder when c is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 4:55 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 13 = -2*o, -1 + 4 = x. Which is the closest to -0.7? (a) o (b) 4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7931 is divided by 71?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -77. Let x = z + -77. Let d = -66 - x. What is d rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -25*p**6\/8 - 12*p**5 + 99*p**4\/8 + 52*p**3 - 507*p**2\/8 - 9. Suppose z(y) = 0. What is y?\nAnswer: -13\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 420085 divided by 3.\nAnswer: 420085\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9902557.00114 - 9902659. Let k = v - -102. What is k rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83 - -0.0275167\nAnswer: 83.0275167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1134660394*k**3 - k**2 - 970*k - 22244 wrt k?\nAnswer: -6807962364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewn when three letters picked without replacement from egwnneoonewwnnnnw.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/22 and 1\/(-5) - (-5368)\/240.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -620 - -624. Let i(h) = -h**2 + 3*h - 5. Calculate i(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -27*2\/(-12)*2. Calculate the greatest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.25 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (138 + 17 - 26 - 3 + 0 + 5 + (2 + 3 - 4)*(6 + 0 - 4) + 2 - 2 - 2 - 3 - 2 + 2)*(-2*x**2 + 0*x**2 + 3*x**2).\nAnswer: 128*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -1503*g + 7. Let b(d) = 113*d - 1. Give b(k(u)).\nAnswer: -169839*u + 790","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5\/15*3*5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 570 by -5.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 11*o**2 - 69*o + 2. Is v(-15) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 1)*(1 + 2 + 10) + 4 - 5 + 2)*(-7 - 39*a - 18*a + 7).\nAnswer: 684*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 2*f**2 + f**4)*(4*f - 3*f + 0*f) + 4*f**5 - 3*f**5 + 8*f**5.\nAnswer: 10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -897.\nAnswer: -899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 3*p**2 + 9*p**3 - p**2 - 8*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -20*f**4 - 2975*f**3 - 10855*f**2 + 2900*f = 0?\nAnswer: -145, -4, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 0*w - 4*w)*(1 + 0 + 22) + 1 - 5 + 10*w + 2 + 6*w - 2*w - 2*w.\nAnswer: -149*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34 - 15 - 7*p**3 + 32*p**3 wrt p.\nAnswer: 75*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -231 (b) 0 (c) -390\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40 or 36?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*q + 4 + 0 - 3 + 235*q + 0.\nAnswer: -4*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 3*j - 15, -2*o + j = -51 + 56 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*x - 5. Let o(k) = 6*k**2 - 12*k - 45. Let u be o(x). Calculate the greatest common divisor of 110 and u.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.027 - 0.0476. Round k to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*j + 3*m + 16, 0 = -3*j - m + 8. Suppose 5*k - 28 - 27 = 0. Calculate the lowest common multiple of j and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -598, -595, -592, -589, -586?\n\"Answer: 3*g - 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y**2 + 4*y - 7. Let t be w(2). Let f be ((-2)\/(-4))\/(t\/(-90) - 0). Solve 0 = 3*n + f*j + 3, 2*j = 3*n - 2*j + 17 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2788 by -34.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 3*s = 151, 255*i + 303 = 258*i - 6*s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 75992*c - 41440?\nAnswer: 75992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 16*j - 34. Let d(k) = 3*k - 7. Let u(a) = -2*b(a) + 11*d(a). Let i be (-2)\/5 - 26\/(-65). Let z = 9 + i. Calculate u(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*l - 52*l - 81*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4\/403 - -10119\/4433. What is the common denominator of i and 17\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9684.\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/84 and 69\/112?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -42*a - 1. Let t(m) = 2 - 4 + 2 + m. Determine i(t(f)).\nAnswer: -42*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -861.67 - -4.67. Let v = h + 903.7. Let i = 3.3 + v. Is i >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98917.54 rounded to the nearest 10?\nAnswer: 98920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-2))\/((-9)\/1)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6843810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -380 - -861. Let q = o - 3823\/8. Find the common denominator of -75\/2 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*j**3*p**3 - 98964207*j**3 + 1510*j**2*p**3 + 2219*j**2*p + 2*j*p**3 + 3*p**3 wrt j?\nAnswer: -36*p**3 - 593785242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 48 + -13220521?\nAnswer: -13220462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3678775 + 3679065.9827. Let f = m + -291. Round f to 3 decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -15\/2566018 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47501c (base 13) to base 2.\nAnswer: 110011110000101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.5 in -5, 0.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000157165 rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/105282 and 61\/91377.\nAnswer: 1068928146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11d8e (base 16) in base 14?\nAnswer: 1c8d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (168\/130)\/((-3)\/(-15)). Let y = j - 614\/91. Let z = -1621 + 1620. Are y and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 20, 5, 54 in descending order.\nAnswer: 54, 20, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s = 6*s + 23 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(2\/39)\/y)*y**(-14) assuming y is positive.\nAnswer: y**(-470\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**3 - 192*i**2 - 2384*i - 4032 = 0. What is i?\nAnswer: -28, -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 138915 + -95571. Is 301 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14015\/7 - 2002. Factor 4\/7*v + 3\/7 + l*v**2.\nAnswer: (v + 1)*(v + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 10:44 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/12 + (-39)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in months?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 7*k**2 - 7*k - 6. Suppose g = -2 - 2, -4*g = 4*c + 40. Let d be b(c). Solve -u + 4*n = 4*u + 13, n - 2 = d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 3\/2 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 7:50 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -1. Let y(w) = 3*w**2 - 2*w + 5. Let g(p) = 4*v(p) + y(p). Let k be ((-2 - -1)*1)\/(-1). Determine g(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4307624, 4307512, 4307376, 4307204, 4306984?\nAnswer: 4306704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 - -164\/3. What is the nearest to 0.3 in g, -2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1219 is divided by 316?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -187744123718.38 plus 7?\nAnswer: -187744123711.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.4, 35, -0.25, 0.3, -2\/29, 1\/4, 37?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11307 - 4?\nAnswer: -11312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 4:36 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*v + 58*v - 48 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, 1, 16, -17, 2 in decreasing order.\nAnswer: 16, 9, 2, 1, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from hkhhk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 324, 736, 1156, 1590, 2044, 2524, 3036?\nAnswer: 3586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12 - -8 - (-4 - -4). Suppose -51 = -j*u + 17*u. Calculate the remainder when 59 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, 21\/2, -1, -7, 0.2?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 30 = 5*z, -44 = -4*i - 2*z - 0*z. Let u(c) = 2*c + c - i*c + 5*c. Let q(g) be the first derivative of -g**3\/3 + 1. Calculate q(u(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*f + 70000 = 0, f - 5*f + 56000 = 4*y. Round y to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102 and (-2)\/((-170)\/(-90) + -2).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k. Let u(l) = 5*l**2 - 2*l. Let i(y) = -5*y**2 + 3*y. Let b = -33 + 37. Let v(g) = b*i(g) + 6*u(g). Give v(j(h)).\nAnswer: 90*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -52, -108, -186, -286, -408, -552?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, p: 6, d: 2, m: 2, w: 4, c: 2}. Give prob of sequence epc.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 35097.12 rounded to the nearest ten?\nAnswer: 35100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 17, f: 3}. What is prob of sequence ft?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**3 + 4264*q**2 - 75204*q - 264096 = 0. Calculate q.\nAnswer: -3, 21, 1048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.09526um in millimeters?\nAnswer: 0.01009526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-172)\/(-20) - 6\/(-15)) + -4. Suppose -u*i - s = -13539, 4*i - 2*i - 5418 = -s. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40553 (base 7) in base 4?\nAnswer: 2122133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -26269 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-21)\/d*d*d*d**0 assuming d is positive.\nAnswer: d**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 9*b + 9*b. Suppose -5*p = -5, -10 = -3*n + 3*p - p. Let x(m) = n*m + 0*m - 2*m. Calculate y(x(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-5 + -3)) + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*v + 0*v - 4 + 6)*(-v + 3*v - v + (2 - 2 + 12*v)*(-1 - 1 + 3)) to w + m*v**2 + f*v and give f.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 14*d**2 - 16*d - 39. Let p be m(-12). Calculate the greatest common divisor of 49 and p.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6*c**2 - c + 1. Let k(v) = 7*v**2 - v + 1. Let a(y) = -3*h(y) + 4*k(y). Let w be a(-2). Let z = w + -40. Solve -z*b = -5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6598 is divided by 157.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**5\/150 + 23*l**4\/60 - 14*l**3\/5 - 130*l**2 + l. Factor g(y).\nAnswer: -2*(y - 21)*(y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -125 and 21 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1. Let c(l) = 134*l - 6. What is -c(a) + 6*z(a)?\nAnswer: -134*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1267 and 51703736.\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 1, 48, 4, 62 in decreasing order.\nAnswer: 62, 48, 4, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 + -56 + 1 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33911, 0.1, -1\/2, 6.29, -0.4.\nAnswer: -33911, -1\/2, -0.4, 0.1, 6.29","meta":{"dup_signals":{},"source":"comparison__sort_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 o(f) = -2*f**3 - 13*f**2 + 6*f - 40. Let d be o(-13). Calculate the greatest common divisor of 77 and d.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (3 - (-1 - (-96)\/(-92))). Let r(c) = -c**2 + 23*c + 860. Let t be r(-20). Is x not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2557, 5113, 7669, 10225?\n\"Answer: 2556*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-6998069.\nAnswer: 27992276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 428?\nAnswer: -428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2984 + -2988. Put -86, 5, 0, -1, j in descending order.\nAnswer: 5, 0, -1, j, -86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 184256b?\nAnswer: 1842568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 716*(1\/(-4))\/(-1). Let q = c - 177. Factor -4\/9*u**q - 2\/9*u**3 - 2\/9*u + 0.\nAnswer: -2*u*(u + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(1 - 1 - c) + 2 - 2*c - 2 + 2*c + 0*c + 1 - 4*c.\nAnswer: -6*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 2:14 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181518 = -71*r + 146368 + 261485. What is the remainder when r is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b7 (base 12) to base 16.\nAnswer: 2cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5953 + -5956. Which is the second smallest value? (a) -4\/3 (b) 0.2587 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 342 and 162.\nAnswer: 3078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z**2 + 0*z**2 - 2*z**2)*(1198 + 3059 - 567)*(-3 - 2 + 1) to the form m + x*z**2 + k*z and give x.\nAnswer: 14760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 125634 and 60?\nAnswer: 1256340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 12*a**5\/7 + 90028*a**4\/7 - 420844*a**3\/7 - 3393308*a**2\/7 - 1081008*a\/7 = 0.\nAnswer: -7507, -4, -1\/3, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1436890, 1436878, 1436868, 1436860, 1436854, 1436850, 1436848?\nAnswer: 1436848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t + 4*t + 2*t)*(-4*t + 2*t + 9*t + (-3 + 3 - 2)*(1 + t - 1) + 2*t + 3*t - 6*t + (1 - t - 1)*(-2 + 0 + 4)) as p*t**2 + m*t + j and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*r + 8 = -5, 3*o - 3 = -3*r. Suppose 4*y - 8 = 8. Let c be 18\/(-8) + 1\/y. Put 0, c, o in increasing order.\nAnswer: c, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 3 - 2*u + 3*u)*(3*u + 4*u + 2*u).\nAnswer: -9*u**2 + 27*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3669663795?\nAnswer: 3, 5, 7, 41, 197, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 12:05 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25 and -0.243284?\nAnswer: 6.0821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 8*n**2 - 11*n - 12. Let p be z(-7). Solve 6*y - 2*y + 5*r + 2 = 0, -4*y + 4*r = -p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211007091, -211007092, -211007093, -211007094, -211007095, -211007096?\nAnswer: -211007097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 37. Let m = p - -16. Suppose -5*z = -5*c + 40, -2*c - 4*z - m + 30 = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-625)\/(-1125)*(-2 - (-24)\/10). Factor 0 + 0*k + 4\/9*k**3 + 2\/9*k**2 + c*k**4.\nAnswer: 2*k**2*(k + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**3 + 2*n**2 + 5*n. Let v(s) = 4*s**3 + 2*s**2 + 6*s - 1. Let o(j) = -6*a(j) + 5*v(j). Let m(i) = i**3 - i**2 - 4. What is -3*m(x) + 2*o(x)?\nAnswer: x**3 - x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -125\/438 + 33\/73. What is the closest to -0.1 in 5, o, 0.4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-34)\/(-12) + 2\/12. Let a(f) be the first derivative of 1 + 3\/20*f**5 + 3\/8*f**2 - 1\/24*f**6 - 1\/8*f**4 - 1\/6*f**r - 1\/4*f. Factor a(l).\nAnswer: -(l - 1)**4*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/16 - (-68)\/16. Let k be 0 + 1 - (1 + 0). Suppose 35 = i*r - k*r. Calculate the least common multiple of r and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**5\/5 + 19083*h**4\/5 - 30298938*h**3\/5 - 30444126*h**2 + 395261757*h\/5 - 212761269\/5 = 0.\nAnswer: -7, 1, 3183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5294 plus -0.08?\nAnswer: 5293.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -147 - -147.7. Which is the closest to z? (a) 1\/2 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*z + 3161 = 0, -2*u - 114*z + 117*z + 1271 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -21, -31, -43, -57, -73, -91?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 0 - -14 - 3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 55187944.475?\nAnswer: 55187946.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 17.\nAnswer: 8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34170002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 295628.4 nanometers to kilometers.\nAnswer: 0.0000002956284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 65 and 50 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2475 and 540375.\nAnswer: 1621125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -499*z**3\/3 + 5*z**2 - 2. Let p be s(-10). Round p to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -20. Let q(z) = -z**3 + 0 - 26*z + 6*z + 7 - 20*z**2. What is the units digit of q(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -525*l - 5659 + 5659 to the form g*l + p and give g.\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7711 (b) -1\/2 (c) -5 (d) 0.041\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 - 5*c**2 + c - 3. Let w(d) = d**2 - 11*d - 157. What is the remainder when w(-14) is divided by p(4)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86 - 80. Calculate the greatest common factor of 372 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 1. Let w(d) = 7*d**2 + 2*d + 4. Suppose -4*z + 131 - 127 = 0. Give z*w(y) - 6*x(y).\nAnswer: y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1751 divided by -1754\nAnswer: -1751\/1754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 11, g: 5}. What is prob of sequence ggv?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**2 - 3. Let b(f) be the third derivative of -f**5\/60 - f**3\/6 + f**2. Suppose -10*r + 4*r = -6. Let p be 3*1*(-2 - -1). What is p*b(k) + r*d(k)?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 482 = -2*g, 0 = -2*g - 9 - 1. Put j, 4, -2, 0 in decreasing order.\nAnswer: j, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4778 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1038*i*m**4 + 13*i*m**3 + 1750*i*m + 2*m**2 wrt m?\nAnswer: -24912*i*m + 78*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = -5*b + 1534. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188014 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97*u - 31*u - 656 + 381*u**2 + 656 wrt u.\nAnswer: 762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*p + 9*p - 6*p)*(-13 - 1 + 3)*(p + 3*p - 7*p)*(-3 - 2 + 3) in the form f*p + k*p**2 + t and give k.\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -459*o - 41474 = -5*z - 458*o, 2*z - o - 16592 = 0. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -5. Suppose -m + n*m - j + 51 = 0, 3*m - 151 = -4*j. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14204 and 954.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 756028 a multiple of 403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 - 44284*k**2 - 2*k + 44284.\nAnswer: 2*(k - 22142)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222822 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*sqrt(98))**2 + -2 + (2 + (sqrt(8)\/sqrt(4) - sqrt(2)) - sqrt(2))**2.\nAnswer: 108*sqrt(2) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2826.641kg in micrograms?\nAnswer: 2826641000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -257.6 - -286. Let c = h + -10. What is c rounded to 0 decimal places?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 17*u**2 - 28*u - 30. Let z be l(-17). Is z greater than 447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 6*p - 3*p)*(158 + p - 317 + 157).\nAnswer: 2*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5*h + 40, 0*h - 4*d = 2*h - 8. What is the least common multiple of h and 34?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.015 - 0.022. Let p = x + 0.107. Let a = 1 + -0.8. Sort p, -5, a in increasing order.\nAnswer: -5, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 520 = -5*l + 7*l. Let n = l - 59. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*(-10)\/((-320)\/168).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.983 - 0.017. Let u = 36 - 36.4. Which is the second biggest value? (a) 15 (b) u (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**1\/(y\/y**(-5\/4)) assuming y is positive.\nAnswer: y**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or -146\/1275?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 101 + 1?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -2. Suppose a = -0*h - 4*h + 12. Suppose 8 = 5*n - h*n. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 + o + 5. Let n(c) = c**2 - c - 2. Calculate -2*f(a) - 5*n(a).\nAnswer: -a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632463?\nAnswer: 3, 13, 16217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**2*i - 787889*d**2 + 48*d - 60237353*i**3 wrt i?\nAnswer: d**2 - 180712059*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/10)\/(184\/(-20)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**2 + 24*a - 34. Let w be c(18). Let b = 630 + w. What is b rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318966.\nAnswer: 2, 3, 53161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4 - 6. Let b = 1097 + -1093. Sort 0, 7, a, b in ascending order.\nAnswer: 0, b, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((34*t**2 + 27*t**2 - 18*t**2)*(-2*t - 11 + 11) + 0*t**2 + 0*t**2 + t**3)*(3*t + 0*t - t).\nAnswer: -170*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - 14 - 54) + 16 + (0 - -13).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28585, 57164, 85771, 114406?\n\"Answer: 14*x**2 + 28537*x + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-1 - 1) - 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/2*(-94)\/(-1410)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -115, 0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 49. Suppose -3*p - k = 2*k - 3, -2*p - j = -4*k. Let r(c) be the first derivative of -c**3\/3 - 5*c**2\/2 + 2*c - 95. What is r(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -5*n - g - 46, -g = -2*n - 89. Suppose -3*u - 3*i - 135 = 84, 3*i = 4*u + 257. Let b = n - u. Calculate the remainder when b is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16216693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1580*p - 1784*p - 4488 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Put together -0.3 and -0.226181.\nAnswer: -0.526181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*a = 2*a - 14, 0 = -5*i + 2*a + 18. Suppose 6*x - i*x - 4628516 = 0. Suppose 0 = -5*m - x - 2442871. Round m to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9c53a (base 16) in base 9?\nAnswer: -1175310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 9:28 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27a563 (base 11) in base 5?\nAnswer: 103013243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 718*g**3 - 2*g**2 + 29*g.\nAnswer: 4308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - sqrt(63))\/sqrt(7))\/(sqrt(363)*2 + sqrt(3)).\nAnswer: 2*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 820 - 47. List the prime factors of r.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 6 + 3. Let d be (-9)\/21*1 - (-192)\/56. Find j such that -j**2 - 3 - x*j - d*j - 6 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11 + -7)\/(-3 - (-10)\/2). Solve -c - 5 = d - 0*c, -4*c = -5*d + m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**4 + 3*h**4 + 37*h**5 + (0*h**2 - 4*h**4 + 0*h**2)*(-106*h - 9*h + 12*h).\nAnswer: 449*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1725239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12378277\/497 + -24906. Is o at least -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 10:57 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3 - 12. Suppose 3*v + f*y + 42 = 0, 2*v + 4*y = 3*v + 4. List the prime factors of (-64)\/v + 2\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 11:40 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -19, -24, -27, -28, -27, -24?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -661 + 1102. Suppose 5*g - z = f, -4*z = -5*g + 257 + 187. Calculate the remainder when g is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-1638.6008.\nAnswer: 11470.2056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74 - -108. Let p = 78 - m. Calculate the remainder when p is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63 - 9 - 10 + 81 - 66*v**3 to r*v**2 + i*v**3 + p + q*v and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 + q**3 + 15*q**2 - 7*q**2 - q - 3*q**3 to y + h*q**3 + o*q + a*q**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 46603.09 rounded to the nearest one hundred?\nAnswer: 46600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -190 + 192.02. Let c = -5.02 + r. Put -15, 2, 5, c in descending order.\nAnswer: 5, 2, c, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i - 3. Let k(v) = -v + 3. Let x = -263 - -259. What is x*k(q) - 3*j(q)?\nAnswer: -2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000021489971 rounded to 6 decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 4*b**2 - 5*b + 4. Let z be w(-5). Suppose -4*a = -z*x + 80, -2*a = -4*x - 1 + 91. What is the remainder when x is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 891 and 1196019?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7360594 is divided by 1002?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 14765*g + 14769*g - 16 = 0, 2*j + 16 = 2*g for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -6*j + 62. Let y be (-1)\/((-140)\/j)*7. What is the nearest to -6 in y, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23431 (base 5) in base 4?\nAnswer: -123031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38993223 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86 - 158. Let r = n - -71.9999876. Round r to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3980 and -3971 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -140*c**3 + 3*c**2 + 7*c + 4. Let w be f(-1). Put w, -4, 5, -2 in descending order.\nAnswer: w, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85143, 85152, 85165, 85182?\nAnswer: 85203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -4. Let t = -0.2 - g. Let u = 0.2 - t. What is u rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 4 (b) 8 (c) -4 (d) -0.3 (e) -106\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83842016 by -31378.\nAnswer: 2672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 329385, 323707, 318015, 312303, 306565, 300795?\nAnswer: 294987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/330 and -107\/60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 11 = -3*q, -4 - 3 = -4*f - 5*q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w + 18*w - 12 = 0. Let b be (-2 + -70)\/(-2)*12\/(-132). Is w > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-31)\/(-7) + 108\/(-252). Suppose -s*w + 3*w - 2*y + 195 = 0, -3*y = 2*w - 393. List the prime factors of w.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(11) + -2 + sqrt(176) - sqrt(11)) + (sqrt(55)*2)\/sqrt(5) + 4 + sqrt(121)\/(1*sqrt(44)\/sqrt(4)))**2.\nAnswer: 32*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - -1 - (-2467 + 2433)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + u**2. Let x(i) = 6*i**3 - 33*i**2 + 60*i + 15. Let g(p) = p**3 - 8*p**2 + 16*p + 4. Let b(d) = 30*g(d) - 8*x(d). Calculate 3*b(q) - 72*z(q).\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -29 (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/40 and -139\/2184.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.83013251 to three decimal places.\nAnswer: -9.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {r: 4, p: 5, d: 6}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10399371?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/35)\/v**(-33)*(v**(-3)\/v*v*v\/v**(-1\/5))\/(v\/(v**2\/v)*v\/v**5) assuming v is positive.\nAnswer: v**(246\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Convert 5929126.56 minutes to weeks.\nAnswer: 588.207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + 2. Suppose -j + 6*j = u. Let v(r) = r**2 - 3*r - 5. Let d be v(4). Put 3, d, j in descending order.\nAnswer: j, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -11*y**6\/120 + y**5\/60 - 5*y**4\/24 - 5*y**3\/6 + 263*y**2. Let h(q) = -q**3 - q - 1. What is 5*h(m) - o(m)?\nAnswer: 6*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-44)*((p*p**(2\/27)*p)\/p)\/p assuming p is positive.\nAnswer: p**(-1186\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 5*q + 1. Let i be l(-4). Let o = -9079\/2344 - 1\/586. Calculate the common denominator of 1\/i + (-3)\/(-6) and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 23. Calculate the greatest common factor of a and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14262*j*m**3 - 42*j*m - 7*m**3 + 327497*m with respect to j.\nAnswer: 14262*m**3 - 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**8\/1680 - 7*c**5\/60 + 3*c**3 + 3*c. Let r(z) be the second derivative of q(z). Find the second derivative of r(j) wrt j.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 2)*(-3 + 2 - 1)*(28 + f + 86 - 18) as l + i*f and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 56020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1352493, 2705646, 4058809, 5411988, 6765189, 8118418, 9471681, 10824984?\n\"Answer: y**3 - y**2 + 1353149*y - 656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -798 + 797.8. Suppose -5*c - 11 = 4. What is the third biggest value in c, m, -2\/15?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1195231 and 12.\nAnswer: 14342772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80 - 80 - 9*s)*(-2 + 4 - 4)*(s**2 + 2*s**2 + s**2).\nAnswer: 72*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1225) + sqrt(1225)*3 - sqrt(1225)))\/((sqrt(28) + sqrt(84)\/sqrt(3))\/sqrt(4) - sqrt(28)\/sqrt(64)).\nAnswer: -360*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 309, 311, 313?\n\"Answer: 2*s + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 7*g**2 - 10*g - 10. Let m be a(-7). Calculate the remainder when m - 1 - (10 - 11) is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 239?\nAnswer: -2\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -4*t - 10909 + 10808, -t - 2*a = 38 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -103663 (base 8) to base 7\nAnswer: -203165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 25687541*y - 25687541*y - 2*y**2. Let t(h) = 8200*h. Determine v(t(o)).\nAnswer: -134480000*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -4. Suppose -5*d = -4*i - d + t, 0 = 4*i + d - 7. What is the smallest common multiple of i and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*z = -38, 4*z = 4*b + b - 36. Let s(f) = -f**3 + 10*f**2 + f + 11. What is the remainder when s(10) is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 0.2, 1.6, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/143 and -2.59397 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -56453 - 0?\nAnswer: -56453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/1460*-141 + (-2)\/(-5). Let l = -79\/438 + f. Which is bigger: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 47500.7 and 0.25.\nAnswer: 47500.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 977243*k. Let g(o) = -21*o. Determine s(g(v)).\nAnswer: -20522103*v","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 98494148 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9936535 - (-3)\/(6\/8). Let r(u) = 38*u**3 + 16*u**2 + 15*u + 19. Let o be r(-10). Let l = c - o. Round l to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -8*s**2 + 20*s - 12. Let u(l) = -3*l**2 + 7*l - 4. Let m(p) = 4*k(p) - 11*u(p). Let x = 3710 + -3710. Determine m(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**5\/4 - 7*a**4 + 221*a**3\/4 + 143*a**2 - 55*a - 136 = 0.\nAnswer: -34, -2, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 137 and -31.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**2\/4 + 6231*v - 74799\/4 = 0. Calculate v.\nAnswer: -8311, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11\/10 - 6\/5. Let v = 58944 + -471555\/8. What is the nearest to 1 in u, 2, -0.3, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, b: 13}. Give prob of picking 1 e and 3 b.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65468 - 15048. What is p rounded to the nearest one thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72961095?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s - 9*s**3 + 140 - 9*s - 49.\nAnswer: -9*s**3 + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/5*-6*(-20)\/3. Let k be (-18)\/(-72)*u\/(-2). Which is bigger: -1\/146 or k?\nAnswer: -1\/146","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 - 10 + 1396*q - 28 as m*q + g and give m.\nAnswer: 1396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*w - 44 - w**3 - 47*w - 46*w**2 - 88*w + 9*w = 0. Calculate w.\nAnswer: -44, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -1 + (7 - 2). Let b(i) = -i + 10. Let o be b(t). What is the third derivative of 2*d**o + d**6 + 6*d**2 - 4*d**6 + 6*d**6 wrt d?\nAnswer: 600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -7*v**5\/15 - 357*v**2. Let u(f) = 5*f**2. Give n(u(j)).\nAnswer: -700*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 353 - 430. What are the prime factors of 4*277 + 5 + z\/7?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59.000023 + 59. Round p to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*z**2 - 24*z**4 - 540*z**3 - 63*z**4 - 33*z**4 - 440*z**2 + 5*z**5 - 164*z**2.\nAnswer: 5*z**2*(z - 28)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3095 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-21))\/((-4)\/(-22)). Let f = -9\/7 + j. Let v = 1 - -1. Which is the closest to -1? (a) 0.1 (b) v (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -751338*i**3*o**3 - 2*i**3*o + i*o**3 + 75278*i wrt i.\nAnswer: -4508028*i*o**3 - 12*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9149 - (-1 + 3 - 6\/3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 2. Let i = -763 + 765. Let k = -4 + 1. Let q(h) = 3 + 1 + 5 + h - 6. Give i*z(y) + k*q(y).\nAnswer: -y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.1044 rounded to 1 decimal place?\nAnswer: 90.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 9:30 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (u + u - u)*(-3*u + 3*u - u - 81) in the form z*u + x + w*u**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -35*w**3 - 94860*w**2 - 972100*w - 270000 = 0.\nAnswer: -2700, -10, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**6\/15 - 3*o**5\/10 + o**4\/2 - o**3\/3 + 14*o + 12. Let i(x) be the first derivative of f(x). Factor i(z).\nAnswer: 2*z*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z + 20. Let o be i(1). Suppose -o*d + 252 = -16*d. What is the greatest common divisor of d and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (2 - (0 + 6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*n = -99*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 277787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -96, -140, -182, -222?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a milligram in micrograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*n**2 - 186*n**2 + 171*n**2 + 23*n**2.\nAnswer: 39*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 11:48 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 114440\/77 + -10396\/7. Solve -2\/11*n**2 + 2\/11*n + f = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1589*o - 6333. What is z(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2515266 (base 7) to base 15\nAnswer: 65d30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**2 - p**5 + 5*p**2 + (2 - 2 - p)*(-6*p**4 + 2*p**4 + 0*p**4) + 6*p**5 - 7*p**5 - 11*p**5.\nAnswer: -9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ylkllyky. Give prob of sequence kyy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 352 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {n: 1, k: 1, f: 1, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1480 and 77\/296.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/3 - 4174*s\/3 + 187985.\nAnswer: -(s - 131)*(s + 4305)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3942462*t - 2. Let p be g(2). Let k be p\/(-6) - 7\/21. Let l = k - 1844154. What is l rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 5:48 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28992461*m**2 - 15911592*m wrt m.\nAnswer: 57984922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45376 is divided by 162?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Let d = w - -2. Let a(o) = 3 - 1 + d*o - 3 - o**3 + 2*o**2. Determine a(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.06, -1\/3, -2.06, 1\/2, -115?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*f**3*x + 8651529*f**3 + 409532*f*x - 4*x wrt x?\nAnswer: 4*f**3 + 409532*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 4890.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 97?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzz when three letters picked without replacement from zffzzzzzzfzzzzzzzzf.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -79 - 44*i + 79 as n*i + s and give n.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1104582?\nAnswer: 2, 3, 227, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**4 + 12*u**3 + 18*u**2 + 14*u + 3. Let t(q) = -12*q**4 - 48*q**3 - 72*q**2 - 57*q - 12. Let z(f) = 2*t(f) + 9*y(f). Factor z(a).\nAnswer: 3*(a + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 14. Solve -x - 8 = 3*m, -t*x - x = -2*m + 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1926, 4, 122, -1, 0, -5 in decreasing order.\nAnswer: 1926, 122, 4, 2, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 10*g - 7. Let s be t(-13). Suppose -3*n + 1 + 5 = 0. Suppose 0 = -n*l + 18 - s. Is l smaller than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v + 8 = 0. Let p(x) be the second derivative of x**5\/20 + x**4\/4 - 5*x**3\/6 + x**2\/2 - x. Give p(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 8*l + 2. Let k = 0 + 2. Let q be o(k). Let m = 4 + -2. Solve -q = 5*b - m*i, 3*i = -b + 5*b + 13 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = 172*d - 162*d for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 6. Let i = z - -7. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34493909, -68987825, -103481741, -137975657, -172469573?\nAnswer: -206963489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -21*h**5\/5 + 32*h**3\/3 + 16. What is the third derivative of y(d) wrt d?\nAnswer: -504*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**31\/((d**(-2\/9)\/d*d*d)\/d)*d\/(d**(3\/11)*d*d)*d**(-9\/2) assuming d is positive.\nAnswer: d**(5039\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(275)\/(sqrt(11)*-5) + sqrt(25)))\/(sqrt(55)\/(sqrt(11) + -2*sqrt(11)) - sqrt(5) - (sqrt(720)*-2 - sqrt(5))).\nAnswer: -8*sqrt(5)\/115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15874, 31646, 47316, 62884, 78350, 93714?\n\"Answer: -51*j**2 + 15925*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 0 + 0 - 18*d**2 + 37*d**2 - 18*d**2 - d**3 + 2*d = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21283 + 325*f - 21283)*(-2*f - 4 + 4) + (2 - 2 + f**2)*(1 - 4 + 2).\nAnswer: -651*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 2, f: 5, k: 8, h: 2, c: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 2 = 3*l - 15, -4*c - 2*l = 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.6 (b) -3 (c) 2\/7 (d) -37 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 2*m - 1. Let d be l(-2). Let h be (-2)\/d + 88\/6. Suppose h = -2*r + 4*r. Calculate the remainder when 27 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**4\/6 + o**3\/6 + 257*o. Suppose -2*q - q = 4*i + 18, 3*i = 4*q - 26. Let f(s) = 9*s**2 - 5*s. Calculate i*f(n) - 26*x(n).\nAnswer: -2*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from agggmagggaa. Give prob of picking 4 g.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 (base 16) in base 4?\nAnswer: -20302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 27 = 7*z. Is (-13758)\/z*(-8)\/((-80)\/(-15)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 296996 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 144\/(-42))\/(93\/651).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4265 - 0.0075. Let b = -0.534 - p. Sort 1, b, -5, 0.2.\nAnswer: -5, b, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1589802?\nAnswer: 2, 3, 257, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001001111110110000 (base 2) in base 15?\nAnswer: 5ebb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10202 (base 3) in base 2?\nAnswer: -1100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and 1184.47.\nAnswer: 710.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*h = -79*h + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p - 479*p**2 + 549*p**2 + 9 + 17.\nAnswer: 70*p**2 - 10*p + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10807, 18784, 26761, 34738, 42715, 50692?\n\"Answer: 7977*y + 2830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -1\/6 (b) 3 (c) -0.1 (d) -12\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 508941295*g**2 + 11*g + 11226523.\nAnswer: 1017882590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - 3.7. Let k = -3 - z. Let p = 0.07 + -0.07. What is the nearest to -1 in k, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1994993?\nAnswer: 7, 11, 13, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1901 is divided by 32.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**3*q**3 + 394559*l**3*q - 7*l**2*q**2 + 1160795*q**5 wrt q?\nAnswer: 12*l**3 + 69647700*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 30*s + 17. Let o be r(5). Suppose 5*g - 71 = -2*h, 2*h + 3*h = -2*g + o. Let t = h + -17. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c + 7709349 - 141465349 = 0. Round c to the nearest 100000.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17, -31, -45, -59, -73?\n\"Answer: -14*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390*g + 3*t = 386*g + 13, -5*g - 33*t = -104 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/91, 10, -1, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5816 + b**2 - 3111 - 12*b - 3171 wrt b?\nAnswer: 2*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, 3\/4, -0.03, 3.\nAnswer: -0.03, 3\/4, 3, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -66*(-21)\/6 + 25\/(-5). Calculate the common denominator of (-7)\/(-308)*k*(-3)\/15 and 89\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/3 - (-215)\/3. Let w(n) = -15*n - 103. Let h be w(-11). Suppose d = h + t. What are the prime factors of d?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, t: 10, l: 6}. What is prob of picking 2 t and 1 l?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -918.9 - -920.9. Let j = -17.77 + -0.23. Let h = 0.1 + -1.1. Which is the nearest to j? (a) x (b) -3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 177 - 155 - (-39)\/(-3). Solve -10*b + i*b - 4*u + 8 = 0, 5 = -5*b - 5*u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5a7 - -9b8?\nAnswer: 1181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.06 + 6.06. What is the fourth biggest value in -1\/5, 0, x, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 5:50 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.176.\nAnswer: 0.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 3, 4, -1.71, -0.3, -20\/3?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**4 + 634*t**2*x**2 + 276*t*x**2 + 2*t wrt t.\nAnswer: 24*t**2 + 1268*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7340 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -156 - -379. Suppose 3*i + q = -119. Let n = i + 134. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w + 3*w - 11373 = 0. Let f = 1044 - w. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 788922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*u - 6 = 375*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ullullluul. What is prob of picking 1 u and 2 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 33*d**2 - 34*d - 58. Let o be l(-32). Solve 0 = g - o + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 308*l**3 + 366*l**3 - 7.\nAnswer: 674*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-2)*9\/(-18). Suppose 5*g - 9 = q - 42, k = q + 5*g - 23. Let p = 40 - q. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3333610 < -6667217\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 705\/8 - 88. Let j(m) = 41*m - 2870. Let i be j(70). What is the nearest to i in -2, -3, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0, 4736, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.013.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - -21) + (1 - 1). Suppose -g + 6 = -d. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 326, 652, 978?\nAnswer: 1304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -6\/209, -6\/55 in decreasing order.\nAnswer: -6\/209, -6\/55, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(12)\/(sqrt(6)*1)*1 + (sqrt(128) + -1 - sqrt(24)\/sqrt(300)).\nAnswer: -1 + 59*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37137877*p**3 + 49213014*p**2 + 2*p?\nAnswer: -222827262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1581967078.\nAnswer: 2, 47, 16829437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -o - 10, 0 = 2*o - 6*o + 2*w + 16. Let f be (-2)\/(o - 4)*(18 + 6). What is the highest common divisor of f and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000167818513 to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 11 + -62 + 30 + 40.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4389*v + 14 = 4391*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1432 divided by 920.\nAnswer: -179\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(-34*u**5 + 7*u**5 - 25*u**5).\nAnswer: 52*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i - 2. Let a(z) = -z. Give -4*a(r) - x(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 - (11 - (-93)\/(-21)). Find g such that 2*g**3 + 6\/7*g - 4\/7 + f*g**2 = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3274815.\nAnswer: 3, 5, 233, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3067138 divided by -5701\nAnswer: -538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1 + (3 - 4 + 2)*(-1 - 1 + 4) + 647 + 271 + 115)*(-2*v**3 - 2*v**3 + 2*v**3)*(1 + v - 1).\nAnswer: -2066*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(8) + (4*sqrt(72)\/sqrt(9))**2)*-6.\nAnswer: -1536 - 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-1 + -2 - (-20)\/6). Which is the closest to k? (a) 3 (b) 1 (c) -0.012\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 96.54, 2\/287 in decreasing order.\nAnswer: 96.54, 0.1, 2\/287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -4 (b) 2\/13 (c) -7 (d) 4 (e) -0.1 (f) 3362\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 + 65*t**2 - 2*t**4 - 66*t**2)*(41 + 43 - 76).\nAnswer: -24*t**4 - 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2*t + 5 + 17, 68 = 4*h - 3*t. Let a = 56 - 36. Calculate the lowest common multiple of a and h.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206162809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 1. Let t be o(-4). Suppose -t = -k, -5*d - 70 = -2*k + 4*k. Is d*(-3 + 4\/2) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -454.1407 - 0.0599?\nAnswer: -454.2006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**2 + 55*v + 13. What is q(-6)?\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(128) - sqrt(14))\/(sqrt(160)\/sqrt(5)).\nAnswer: -3*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*(sqrt(171)*2 - sqrt(171))*-2)**2 + (((sqrt(76) + 3)*-4 - sqrt(76)) + 0 + sqrt(76)*3)**2.\nAnswer: 96*sqrt(19) + 85948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 + o**3 - 2*o**3)*(2 + 2 - 1)*(1 - 3 + 1)*(-o + 3*o - 4*o).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 5:57 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -10, 3 in descending order.\nAnswer: 5, 3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2991*f**2 + 36 - 1348*f**2 - 12*f + 456*f**2. Let u be o(4). What is u rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 7357392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 293746, 293767, 293788, 293809, 293830, 293851?\nAnswer: 293872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*t - 18, 7*t = 4*t - h + 1. Is -2\/135 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -172582 != -172530?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11713*g*n + 2*n - 14849 wrt g?\nAnswer: 11713*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 7:35 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/3)\/(2\/24) + 9. Let f(u) = -7*u**2 + 20*u + 11. Let x(p) = 11*p**2 - 30*p - 16. Let k(v) = g*x(v) + 8*f(v). Determine k(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - v + 10. Let a be s(3). Suppose 4*z - i + 5*i = 0, a = -4*i. Solve -4*c + f = 2, 3*f = f - z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 195.8, 2\/83, -1, -5, -4?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2720 - -2717. Let l be -4 - (-5)\/(-45)*-38. Sort -0.03, l, -2, s in descending order.\nAnswer: l, -0.03, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3 - 2*f**2 - 4*f. Let z(q) = q**3 + q**2 + q. Give n(b) + 3*z(b).\nAnswer: b**3 + b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {p: 2, s: 3, z: 3, n: 6, t: 6}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 10*a - 11. Let q be z(-5). Suppose 574 = -7*m + q*m. What are the prime factors of m?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15398 + -15396. Let t(k) = k - 6. Let s be t(5). Which is the third biggest value? (a) s (b) -6 (c) 5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 23*m**2 + 2*m - 829. What is y(-21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 - (-6 - (2 - 6)))\/(5\/(-23255))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 8*c**2 - 802*c - 3311. Calculate b(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*f**3*p + 2*f**3 + 2*f**2*p**2 - 2*p**2 wrt f.\nAnswer: 12*f**2*p + 6*f**2 + 4*f*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000124555649 to 6 dps.\nAnswer: -0.000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 4*z - 4, -4*j - 3*z = 51 - 48 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 22485 - t - 32*t**3 + 0*t**3 - 22519 in the form b*t**3 + c*t + h*t**2 + i and give b.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 562.352 - 564.352. Let r = -0.1 + 0.4. What is the fourth smallest value in 2, d, r, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269 + 184 - 271*f**2 - 712 + 259.\nAnswer: -271*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*n - 1 - 7 = 0, -3*n - 12 = p. Suppose 0 = -p*f - f + 11. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4151737 - -52039798?\nAnswer: 56191535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 13 - (1 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*a + t = -118*a - 15, -5 = t + 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 186*c + 16. What is w(1)?\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101111000111 - -1101101?\nAnswer: 1110000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1522*w**2 + 2155*w**2 - 3 + 3 + w**2 + 0*w**2 + w**2 + (-3*w**2 + 6*w**2 - 4*w**2)*(-3 + 1 + 3) + 2*w**2 + 2*w**2 - 2*w**2 - 6*w + 2*w**2 + 6*w.\nAnswer: 638*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 533*u + 21. Suppose -2*a - 12 + 20 = 0. Is h(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 15*m**2 + 3*m + 1. What is r(12)?\nAnswer: 469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60061925?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7930400 and 12800?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -3*n - 20, -124*d - 8 = -4*n - 126*d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 280*21\/(19110\/52)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 8 = 2*f. Suppose p - 3*a = f*p - 4, 0 = -5*p - 5*a. Let y = 1 + 0. Which is smaller: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 9*h + 9*h)*(33141 - 526*h - 33141)*(2 - 6 + 2).\nAnswer: 17884*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -586 - -2?\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g - 7. Let t be i(2). Let f = t - -124. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 12 = 14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.4 + 1.468. Let q = -3.232 - g. Round q to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 372\/35 - 56\/5. Which is the third smallest value? (a) t (b) -0.08 (c) 4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 37, -8, 674, 2, 1 in increasing order.\nAnswer: -8, -1, 1, 2, 4, 37, 674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 3:41 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6655 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 27 = 5*n, 0*n - 3*n = u + 5. Let y = 0.3 + -0.1. What is the biggest value in y, 8, n?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(104)\/sqrt(128)*1*5)**2.\nAnswer: 2925\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a hour in seconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 72, 58, 44, 30, 16?\n\"Answer: -14*x + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1456 + (-215)\/40 + 6\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q + q + 2*q)*(-5 - 5 + 4)*(5 - 2 - 5)*(3 + 2 - 3) as j*q + c and give j.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139641836 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*o - 7 = 0, -v - o = -2*o + 3. Let m = 4.1 - 0.1. Which is the closest to -1? (a) m (b) -2\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q - 42*q = -10*q - 276 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**4 + 5*i**4 - 2*i**4 + (i - i + 2*i)*(-i**2 + i**2 + 2*i**3) + 0*i**4 + i**4 - 3*i**4 - 4*i**2 + i**4 - 665 + 11*i**3 + 3*i**4 + 660.\nAnswer: 7*i**4 + 11*i**3 - 4*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4592032 divided by 1148008\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -195 - -208 - 9*1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1233.584 rounded to zero dps?\nAnswer: -1234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5851*a - 183. Let g be d(-7). What is g rounded to the nearest 1000?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (4 - (-11 + -9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 2*q**7\/105 - q**4\/2 + 37*q**2. Find the second derivative of u(r) wrt r.\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 129.36 + -137.231. Round h to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 256 and 7792.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34 - 43022213?\nAnswer: -43022135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (u**2 + 14*u - 3*u**3 - 16*u - u**3)*(6*u + 42 - 42) in the form w*u**2 + h*u**4 + l*u**3 + t + i*u and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = 2*w + 34*s, 6*w - 5*s = -2*w - w - 3*s + 41 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 6 = 9, 119 = 4*v - w. Suppose -156 = 27*x - v*x. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - a + 1. Let h(o) = o**3 - 13*o**2 + 11*o + 2. Let d be h(12). Let n(y) = 2*y**3 - 4*y**2 - 4*y + 12. Let g(z) = d*q(z) + n(z). Factor g(u).\nAnswer: 2*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n - 171 + 102 = -103. Put 1\/6, n, 109 in decreasing order.\nAnswer: 109, n, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 46 = 16*i. Suppose -37 = -a - i. What is the remainder when 25 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n + 75 = 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -569*i - 1829. Calculate y(-5).\nAnswer: 1016","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 6*g + 22. Let p be c(-8). Let i(w) = w**3 - 4*w**2 - 9*w - 14. Let d be i(p). Sort d, 3, 2, -59.\nAnswer: -59, 2, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -590*x + 4. Let i(c) = -2*c + 1. Calculate 4*i(h) - m(h).\nAnswer: 582*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -4120 smaller than -4119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 68 (b) -7 (c) -3\/8 (d) -2\/11 (e) -2 (f) 8\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 8 - (2 - 2 - -3)) + -11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386147 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiaiiiaaai. What is prob of picking 4 a?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s**4 + 4172*s**3 - 5*s**2 + s + 1061136 wrt s.\nAnswer: 8*s**3 + 12516*s**2 - 10*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 571315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**8\/112 - 409*b**6\/120 - 1633*b**5\/60 + 3*b**2 + 928. What is the third derivative of h(o) wrt o?\nAnswer: -180*o**2 - 2454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 28*g - 21. Let z(u) = 57*u - 42. Let v(y) = 9*s(y) - 4*z(y). Let t(c) = 6*c - 5. Let o(p) = 21*t(p) - 5*v(p). Let j(a) = 2*a. Calculate o(j(r)).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.72 * -1\nAnswer: 1.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.23 rounded to one decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -31 (b) 1 (c) -0.02 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 22. Suppose -4*n = 3*v - z*n - 9, 4*v - 12 = n. Suppose -5*d = -4*x - 199, 3*d + v*x = -0*x + 114. What is the remainder when 75 is divided by d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 4. Let m be 5 + 12 - 2 - 4. Let f(n) be the first derivative of -2*n**2 - 11*n + 55. Determine m*w(k) + 4*f(k).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -3*x**3 + 2*x - 16647. Let o be (-37)\/(-7) - 6\/21. Let s(q) = o*q**2 - 2*q**2 - q**2. Determine s(f(m)).\nAnswer: 648*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/7 - (4 - (-384)\/(-84)). Let h(d) = -4*d + 28. Calculate h(i).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (305\/6222)\/(115\/69).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000048 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w**2 + 5*w**2 - 5*w**2 + 6*w - 7*w**3 + 6*w**2 + 1 - 32*w to r + j*w**2 + q*w + z*w**3 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 0.5, 1\/105 in decreasing order.\nAnswer: 0.5, 0.03, 1\/105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44460 is divided by 22158.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5201\/50 - 104. What is the nearest to x in -1, 3, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*(216\/56)\/9.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and 1260372 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f + 1. Let d(i) = -2*i + 4. Let j(q) = -10*b(q) + 5*d(q). Let h(r) = 3*r + 3. What is 21*h(g) - 6*j(g)?\nAnswer: 3*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 260 = -14*r. Let c = 66 - r. Is 2 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**3 - u**3 - 2*u**3 + (-1 + 1 + 1)*(3*u**3 + 0*u**3 - u**3) - u**3 + u**3 + 5*u**3 + (2*u**2 - 2*u**2 - u**2)*(-10 + 12*u + 10).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 54 - 62 - 44*b - 21*b - 46*b + 85*b.\nAnswer: -26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d - 3*d**4 + 0*d + 4*d**4 + (d + 4*d - 3*d)*(2*d**3 - 2 + 2).\nAnswer: 5*d**4 - 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/81)\/((-8)\/48).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 4. Is (-3)\/j - 511\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a + 7*a + 75. Suppose 2*w + a = 45. List the prime factors of 6 - 5*3\/w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-315)\/21*(-7)\/(-105))\/((-2)\/(-8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117211?\nAnswer: 19, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -797651.9076 - -797473. Let d = s - -147.892. Let r = -31 - d. What is r rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-seven quarters of a day?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16325, 65323, 146999, 261365, 408433?\nAnswer: 588215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 133876 + -935122\/7. Let c = u - 286. Find a such that -2\/7*a**2 + c*a - 6\/7 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 - 279 + 266 + s**2.\nAnswer: -s**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4 = -j. Suppose j*l - 14 = 12. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -1\/2, 3, -15?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -929133 at most 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4691.3 + -4417. Let j = 272.971 - y. What is j rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -24. Suppose 5*k + x = 24. Solve 2*p = -4*m + 4, k = -4*m + 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 940 and 20180860.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -2, 2\/7.\nAnswer: -2, 2\/7, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 1022*n**3 - 118*n + 1235*n**3 + 118*n.\nAnswer: 213*n**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18108*w**2 + 18258*w**2 - 1 - w**3 - 1 to the form i*w**2 + c*w + s + f*w**3 and give i.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 369909714 and 29907?\nAnswer: 9969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**3 - 6*q**2 + 10*q + 1. Let a be x(3). Let o = a + 148. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 29*z. Let h(a) = 6*a. Let o be (63 - 57) + (4 - 4). What is o*i(b) - 30*h(b)?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*d = -4*d. Let y be d*3\/12 - 6. Let w = y - -11. What is the greatest common factor of 2 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -187 + 191. Suppose -3*z + 180 = -2*h, -5*z = -3*z + s*h - 120. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 22087160 = 2*s + 19*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -202 (b) 6 (c) -5 (d) -0.6 (e) 0.4 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 7*b**2 + 11*b + 3. Calculate l(-8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 6*r - 9. Let b(c) = -3*c**2 - 17*c + 26. Let h(y) = 4*b(y) + 11*v(y). Let j(z) = -z - 1. Let u(m) = -h(m) + 3*j(m). Determine u(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -5*z - 2*y, 31 - 8 = -z - 4*y for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2603?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 70*u + 333. Determine w(-6).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/8)*(t**(-2\/17)*t)\/t*(t\/t**4)**(4\/17) assuming t is positive.\nAnswer: t**(-163\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 40, 59?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1, 12, 25, 34, 33?\n\"Answer: -h**3 + 7*h**2 - 3*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -18\/3881, -35 in descending order.\nAnswer: -18\/3881, -1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20.5 * 44178\nAnswer: -905649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 434*q - 46288. Give v(-189).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2375 is divided by 131.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 140 - 66. Let u = 72 - h. What is the biggest value in -30, 0.3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182 - 10084*l - 10076*l + 20161*l - 182.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (8 - (-9 + 7 + 9) - 17).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10*6*1036\/105?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, h: 3}. Give prob of sequence oo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-4))\/(18\/60). Solve -v*z + 5 = -0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -20, -6, 2, -31 in increasing order.\nAnswer: -31, -28, -20, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 2 - 4) + (22 - ((-38 - -44) + 20))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -406, -761, -1092, -1399, -1682, -1941?\nAnswer: -2176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22880 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-16))\/((-3)\/(-30)). What is the closest to -1 in -1, n, -3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a kilometer in centimeters?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -3\/2, 2192418 in increasing order.\nAnswer: -15, -3\/2, 2192418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 2*u**3\/3 + 89*u**2 - 180*u + 2525. Factor y(k).\nAnswer: 2*(k - 1)*(k + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.307 rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -575.84 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -12 - ((-13 - -38 - 14) + -90)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -c + 3 - 0, c - 3 = -3*m. Let o(f) = -f + 1. Let z be o(c). Let k = z - -1. Sort -2, 2, k in decreasing order.\nAnswer: 2, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 8:09 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x**3 + 37*x**3 + 27*x**3 - 88*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 0*s - 1 - s**2 - 4*s + 8*s. Let q(d) = d**2 - 5*d + 5. Let t be q(5). What is r(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 546*u - 1002*u = 440*u + 95*u - 61442 for u.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 168 + 191. Let k = j + -245. Suppose -k = -x - 2*x. What is the greatest common factor of 19 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 11:03 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 2 - (2 + 1). Let u(v) = v**2 + 19. Is u(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3 + 1. Let m be 2\/1 - (1 + -3). Calculate the common denominator of 53\/2 and -166*q\/m*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 18*h**2 - 3*h + 2. What is the remainder when t(3) is divided by (6\/(-3))\/((-15)\/15 + 308\/316)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000504834939 rounded to seven dps?\nAnswer: -0.0000505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 100 = c - 6*c, -5*r = 5*c + 215. Find the common denominator of (52\/30)\/((-10)\/r) and 3\/12*(-472)\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*d + 263*d - 242 - 1335 = 0 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1326886854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + -1 + (-1 - 0) + 12. Suppose -n*s + 6*s + 492 = 0. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5859 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*w**4 - 10*w**2 - 3*w**4 + w**4 + 5*w**2 wrt w.\nAnswer: 360*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*b - 6. Suppose -g - 3*g + b = 0. Let x = g + 4. What is the greatest common divisor of 63 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 31 - ((-14 - 37) + 53)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10310611 (base 7) in base 11?\nAnswer: 549720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6606716 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*x - r, 5*x + r - 1 = 3*r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101202 is divided by 14456?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-110)*8)\/(12\/18)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 89900645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/16 - 51\/(-68).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 851 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1964432, 1964431, 1964430, 1964429, 1964428?\nAnswer: 1964427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-301 - 23)*(65*5\/100 + -3)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2814991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*v + 74853279 = 74849845 for v.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -4, -19, 64, -5, -2, -6 in decreasing order.\nAnswer: 64, 27, -2, -4, -5, -6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -345 + -64.4\nAnswer: -409.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - ((-1)\/1 + -2). Let y(c) be the first derivative of 1\/2*c**4 - c + 0*c**2 + 0*c**3 + h. Find the first derivative of y(d) wrt d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6140.3 + 0.002\nAnswer: -6140.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (325 - j - 325)*(4 + 8*j - 4 + (-3 + 4 - 3)*(-4*j + 2*j + 4*j)) to the form x*j**2 + b + t*j and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 4388711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 38. Suppose 0 = -5*a + k*a - 23. What is the derivative of -6*y**4 + a + 3*y**4 - 9*y**4 - 6*y**4 wrt y?\nAnswer: -72*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1220)\/(-72) + (-16)\/(-288). Let k be ((-284)\/(-8))\/((-2)\/(-24)). Let c be 10\/(-35) - k\/(-21). Which is smaller: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8462*x**3 + 2820*x**3 + 2821*x**3 + 2820*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -0.1145780193\nAnswer: -10.8854219807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 + 731*j**2 - 1062*j - 10981. Determine z(364).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 585644875 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 68567392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -12*c**3 + c**2 + 2*c. Let a(s) be the second derivative of -6*s**5\/5 + s**4\/4 + 5*s**3\/6 - 18*s - 18. Give -2*a(m) + 5*i(m).\nAnswer: -12*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 231. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3856661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -2, -2\/257, 95?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70 - 68. Let n = 185 - 96. Calculate the remainder when n is divided by 24 + b + -4 + 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 185725*x + 100. Let t be q(4). What is t rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*2*sqrt(2400)*-4)\/((sqrt(192)\/sqrt(4))\/sqrt(4) - (sqrt(60)\/sqrt(5)*4 + sqrt(12))))**2.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392967 is divided by 146?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -2 - (32 + -45) - 14\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (16 - 4) + -15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3129 + 3129 + 2*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -636, -2\/17, -0.9, -2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35.892 - 36. Let r = 4.95 - 6.842. Let m = r + k. Which is smaller: -1.2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aama when four letters picked without replacement from {m: 2, a: 8}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -1 - (-3 + 21) - (3 + -1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 599420 divided by 731\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/5880 and 37\/4368?\nAnswer: 152880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -592 + 1768 - 592 - 584 - 3*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + -5*sqrt(85)*2 + sqrt(85))\/(sqrt(245) + 2*sqrt(245)))**2.\nAnswer: 1088\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 2. Let m be a(-5). Solve 0 = m*b + u - 8 - 5, 5*u = -5*b + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3531 + -38891\/11. What is the third biggest value in -2, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45485443\/240 + -189523. Let s = m - 1\/80. What is the third biggest value in 0, -3, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = 2. Let z(q) = 15*q**2 + 15*q + 15. Let y(t) = -19 + 10 - 2*t + 12. Let f be y(-5). Let m(w) = -7*w**2 - 7*w - 7. Give f*m(a) + i*z(a).\nAnswer: -a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (13 + 4)) + -2 + 1 + -3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmumummmumumumumm. Give prob of picking 2 m.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - b. Let d(n) = 11*n**3 - 17*n**2 - 3*n. Let r(o) = 5*o**3 - 8*o**2 - o. Let j(x) = -3*d(x) + 7*r(x). Let q(z) = f(z) + j(z). Determine q(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 - 29. Let w be p\/(-495) + 2\/11. Suppose 0 = 4*u + x - 20, -8 = -2*x - 0. Which is the third biggest value? (a) w (b) u (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -180 in 0.05, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1300) + (sqrt(1300) + (sqrt(1300) + 2*sqrt(1300) + sqrt(1300) + sqrt(1300) - sqrt(1300)))**2 - (sqrt(13) + sqrt(13)*-4 + 0)).\nAnswer: 13*sqrt(13) + 32504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46177981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (17 + -109 - (-28 + 8))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1261 < -10538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 838 divided by 3\nAnswer: 838\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407205469?\nAnswer: 11, 3593, 10303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -31042?\nAnswer: -31039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 0*g**2 + 0*g**2)*(4*g - 3*g + g) + 1 - 2*g**3 - 1 + 0*g + 0*g - 2*g**3 + 14*g**2 - g**3 + 7*g**3 - 12*g**2.\nAnswer: -2*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 250*x**2 + 155*x wrt x.\nAnswer: 500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**4 - 38*g**3 + 65*g**2\/4 + 493*g\/2 + 60 = 0.\nAnswer: -2, -1\/4, 15\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -138173, -276346, -414519, -552692, -690865, -829038?\n\"Answer: -138173*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137075, 137074, 137073?\nAnswer: 137072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*v**2 + 20*v + 4.\nAnswer: -4*(v - 1)*(6*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - 25?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v - 4*v + 2*v - 6*v. Let z(r) = 4*r**2 - 3*r + 3. Let a(y) = -5*y**2 + 4*y - 4. Let b(g) = -3*a(g) - 4*z(g). Give c(b(x)).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 13 + 32)*(h + 0*h - 4*h)*(10*h**3 - 14*h**3 + 1 - h**3 + 3*h**2).\nAnswer: 555*h**4 - 333*h**3 - 111*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206.9298g to kilograms.\nAnswer: 0.2069298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-123648)\/805)\/96)\/((-4)\/(-15))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 0*x**2 + 8*x**2 + 9*x**2 - 17*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -0*z - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344320.\nAnswer: 2, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*o - p = 142, 4*p + 64 = 2*o. Suppose 5*t - 32 = t. Calculate the remainder when o is divided by 11 - (-7)\/(28\/t).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010100101 (base 2) to base 14\nAnswer: -365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -240, -3, 2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -174 by -62733.\nAnswer: 58\/20911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {z: 4, e: 3, j: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(-36)*b*b\/((b**(-2\/3)*b)\/b)*b*b*b**1 assuming b is positive.\nAnswer: b**(-91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6 - c - c**3 + 7*c - 6*c**2 - 3. Calculate the remainder when w(-7) is divided by 4 + (4 - 8) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 18 and -0.57092729507?\nAnswer: 18.57092729507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151, 160, 97, -38, -245, -524?\nAnswer: -875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 4*y + 11 - 4, 0 = -2*n + 2*y - 2. Put 0, 4, n, -6, -1 in ascending order.\nAnswer: -6, n, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24507 - 12336. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -25*s + 27. Let x be w(-2). Let q be (-31)\/(-11) + (-14)\/x*-1. Solve 7 = q*i + 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 317217 + 4?\nAnswer: 317221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = l - 10, 0*a + 5*a - 30 = -l. Suppose 101 = -2*p - l*w + 542, -5*p + w + 1143 = 0. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 2*n - 480 = 0. Let y be (-2)\/485*(-2 + (-85)\/n). Is 1 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.3 (c) 0.9 (d) -0.026\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 157153301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 118240?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -3. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6169?\nAnswer: 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(3\/(-4))\/((-126)\/12)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165 and 1782.\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -316*u**4 - 117553*u**3\/3 - 879868*u**2\/3 - 928*u\/3 = 0.\nAnswer: -116, -8, -1\/948, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11178090 divided by -90\nAnswer: -124201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1045563.\nAnswer: 3, 97, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 5089.\nAnswer: -508.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3940939 is divided by 1554.\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788 is divided by 249?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15819 + 2713 - 3126 + d - 3*d)*(-3 + 3 - 2*d**2) + (4*d**3 - 5*d**3 - d**3)*(3 + 2 - 7) to the form u*d**3 + f*d + g*d**2 + q and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -35457048 divided by 33?\nAnswer: -1074456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2*sqrt(567) + 4)*-6)**2*4.\nAnswer: 62208*sqrt(7) + 986688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6150850 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2250 and 720?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45437, 90815, 136181, 181523, 226829?\nAnswer: 272087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1574 and 24.\nAnswer: 18888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**5\/4 + 9*a**4\/4 + 9*a**3\/2 - 39*a**2\/2 + 81*a\/4 - 27\/4 = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*h = 15, -h - 10 - 1 = 2*t. Let u be t*((-65)\/15 - -4). Which is greater: 4 or u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 929 and 1626679?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21188171*o**3 + 84752678*o**3 - 21188164*o**3 - 21188164*o**3 - 21188177*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/5 + 4356\/(-660). Let t(v) = 50*v**3 + 7*v**2 + 11*v + 7. Let o(h) = -25*h**3 - 3*h**2 - 5*h - 3. What is r*o(z) - 3*t(z)?\nAnswer: 25*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7063933*y + 7064075*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138 and 46?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 24979*y + 374672. Determine b(-15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/23 (b) 1\/5 (c) 0.3 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-1)*g))**(1\/18)*(g**(2\/21)\/g)\/((g\/(g\/(g**(3\/4)*g)*g)*g)\/g) assuming g is positive.\nAnswer: g**(-403\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 16*t - 10. Let p(a) = 5*a - 3. Let g(o) = 3*m(o) - 10*p(o). Let s(b) = -2*b**2. What is s(g(j))?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 10:09 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312 divided by -5.\nAnswer: 312\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -80\/189 and 101\/168.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3*(5 + sqrt(28)\/sqrt(4)))*-4 + (sqrt(56)\/(sqrt(968)*-2) - (-1 + -5 + sqrt(112))).\nAnswer: 175*sqrt(7)\/22 + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4)*124\/93)\/((-9)\/(-270))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -15*k - 2. Let d(p) = -27781*p - 3536. Let t(s) = -479*s - 61. Let u(m) = -2*d(m) + 117*t(m). Calculate -2*u(c) + 65*w(c).\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 27.9. Which is the smallest value? (a) -5 (b) 2\/3 (c) 13 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1324, -26, -1\/5, 4, 1, -2?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g*l**3 - 6698*g*l**2*p**2 - 37*g*l**2*p + 14*g + l**3*p**2 - 2*l*p**2 + 3*l*p wrt p?\nAnswer: -13396*g*l**2 + 2*l**3 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 + 3 = 30*i + 14. What is the biggest value in 20, -2\/11, i?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 179468.\nAnswer: 1615212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 - 1 - 135*l + 135*l as x*l + o*l**2 + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three fifths of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4\/7 + 212*p**3\/7 + 1962*p**2\/7 + 576*p.\nAnswer: 2*p*(p + 3)*(p + 7)*(p + 96)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 3:17 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17463 + -17463.3. Which is the nearest to -0.3? (a) 58 (b) 7\/3 (c) r (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14817*g - 29746*g - 3*g**3 + 0*g**3 + 14837*g - 11 in the form s*g**2 + q*g**3 + j + f*g and give f.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, f: 3, s: 3, p: 1, c: 1}. Give prob of picking 2 y, 1 s, and 1 c.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeenennee. What is prob of picking 2 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 987278866.\nAnswer: 2, 7, 3779, 18661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*t**2 + 68*t + 68*t - 136*t.\nAnswer: -23*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56153028 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 435*0.0322.\nAnswer: 14.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 = 2*u. Suppose -4*n + u*n + 2*n = 0. Let h(w) be the first derivative of -w**4\/4 - w**3\/3 + 3*w + 1. Give h(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b = h + 1, -h = -5. Determine n so that 6*n**b + n + n**5 + 4*n**4 - n**2 + 0*n + 0*n**2 + 5*n**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide (-6)\/(-21) - 2096729\/(-203)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + 3*a - 3*a)*(-11*a**3 - 13*a**3 - a**3) + 3*a**5 - 5*a**5 - a**5 - 4 - a**5 + 4.\nAnswer: -54*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 - 11.07. Let u = -131 - -116. Let y = q - u. What is the fourth biggest value in 0.1, -4, 2, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5\/9 + -2\/9. Let g = 1.97 + 0.03. Which is the closest to p? (a) g (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 710990?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 6*x**2 + 2*x - 5. Give v(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 37899 divided by 12633\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/25*((-70)\/(-92))\/7?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 199.1196 seconds to hours.\nAnswer: 0.055311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*b = -75*b + 8372. Is 26 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1218592 divided by -76162\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24.18 + 24.68. What is the nearest to -0.2 in -0.3, b, -0.0429?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*j**2 - 32*j**2 - 6 + 5 + 1 - 18*j**2.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/20 - -9\/20. Let b(a) be the second derivative of 1\/6*a**3 + 0 - 2*a - g*a**2. Determine b(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33493.84 to the nearest 1000.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 51*p + 654. Let n = 482 + -514. What is the remainder when u(n) is divided by (-34)\/(-3) + 2\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**2\/4 - 38217*b\/4 - 114597\/2 = 0.\nAnswer: -12733, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/243495?\nAnswer: -2\/243495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 2, -3, -3\/238?\nAnswer: -3\/238","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - o + 19. Give k(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.3134 take away -0.3?\nAnswer: -38.0134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/25, 1\/2, 1084?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**3 - 1 - 2*m**3 + 0 + (-5*m + 0*m + 3*m)*(0*m**2 + 0*m**2 - m**2) - 3*m**2 + 45*m**3 + 3*m**2.\nAnswer: 50*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93054 = 18685*c - 224591 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/67514339 and -10\/7863.\nAnswer: 202543017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Suppose c - 4*d = -0*c + 19, -17 = c + 5*d. Suppose c*k - 3 = 2*k. Solve t = -4*s - 1 - 3, -2*i + 11 = -k*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-9)\/(-6))\/(12\/152)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-39 - -15) - (-1 + 10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 692, -37 in decreasing order.\nAnswer: 692, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24857\/(-1659) + 15)\/(16\/(-24)).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1561344 and 7704.\nAnswer: 4684032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 12:23 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, c: 1, d: 4, q: 1}. What is prob of picking 1 y and 1 d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 106293*b + 637771. What is u(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.019 - 0.019. Suppose -2*o = 3*o - 15. Let z be o*(23\/(-12) - -2). What is the second biggest value in z, 1\/5, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4 + (-4 - -3 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -110011101100 (base 2) to base 8\nAnswer: -6354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 10 = m. Let y(v) = 5*v + 23. Let f be y(-4). What is the highest common factor of f and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4088200*f**4 - 10808779?\nAnswer: -16352800*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4303 + 4308 - 97*u**3 + u**2 - 3*u**2 - 8614 in the form b*u**2 + w*u + k + x*u**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 11*t. Let o(q) be the first derivative of q**2\/2 + 10. Determine l(o(u)).\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/3207 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3892 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 and 163\/252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.0889, 2.027?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21586 is divided by 2595?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 28826, 3, -0.1?\nAnswer: 28826","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**6\/180 + v**5\/60 + v**4\/8 - v**3\/6 - 3*v. Let r(m) be the second derivative of n(m). Determine r(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.32 - 5.32. What is the third biggest value in t, -0.4, 29, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**4 + 5*w**3 + 2*w - 4 + 4 + 3 - 4*w**3 as k*w**3 + x*w + u*w**2 + m*w**4 + d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9 and -7002474.3.\nAnswer: -7002483.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -60. Calculate the least common multiple of 10 and 2\/(-1)*c\/12.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 7) in base 11?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {x: 8, d: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33013111 - 11010333?\nAnswer: 22002112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5130, -4387, -3644, -2901, -2158?\nAnswer: -1415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641059.\nAnswer: 71, 9029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 5. Sort v, 3, -3 in increasing order.\nAnswer: v, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 43*o**2 + 59*o - 4. Let k(f) = -149*f**2 - 177*f + 13. Calculate -2*k(c) - 7*q(c).\nAnswer: -3*c**2 - 59*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -311\/69?\nAnswer: -311\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - 267644?\nAnswer: -267626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 8:29 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 29671.34.\nAnswer: 29671.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3\/9 + 302168*l**2\/9 + 1902600748*l\/3 + 5071453472.\nAnswer: 4*(l + 8)*(l + 37767)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38139, -76250, -114357, -152460, -190559, -228654, -266745?\nAnswer: -304832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 5*n**2 + n - 3. What is the units digit of c(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 356 + 596. Calculate the least common multiple of 20 and t.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/((-10098)\/36))\/((-2)\/(-3))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.619541 millennia to decades.\nAnswer: 61.9541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 10 = -8*x, 3891 = 5*w - 3*x. Is w a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, 16, -274, 1 in descending order.\nAnswer: 16, 5, 1, -9, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4, -3*c + 2539 = -5*p - 2581. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4216 - 0.5113408.\nAnswer: 4215.4886592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b = -100*b. Let s(l) = -l**2 + l - 4. Calculate s(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -2)*2 + -585. Let s = g - -853. Suppose -3*h = -0*h - s. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**2 + 2*f - 2*f**3 + 3*f**2 + 0*f - 4*f**2. Let v = -77 + 76. Let b(s) = s**4 + s**3 - s + 1. Let u(g) = v*r(g) - 2*b(g). Factor u(t).\nAnswer: -2*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19\/2? (a) 1\/2 (b) -4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*c = -2*c - 581, -4*c = -5*b + 700. Let h = 401 + -385. What is the greatest common factor of h and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**5\/3 + 11*v**3\/3 + 18*v**2 - 1. Let f(b) = -b**2 + 1. Calculate 88*f(c) - 4*y(c).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250*y + 247*y = -3*x + 9669, 2*x = -4*y + 6452. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-7) + 3\/21 + 1596. Suppose -3*x + 5*g = 2*x - y, 2*g + 8 = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -4*j + 112, -18*w + 325 = 5*j + 232 for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.127 - 0.827. What is the closest to 0.2 in 0.01, -0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(0 - 1\/(-3)). Let w(q) = -3*q - l + 1 + 1. Let c(p) = -p + 2*p + p. What is w(c(j))?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*c - 33. Let k(d) = 3*d - 8. Let h be k(c). Solve -8 = 4*n - 2*o, 3*n + 4*o = 7*n + h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-249480)\/1701)\/((-1)\/9*1). What is the greatest common factor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.042 + -0.042. Which is the second smallest value? (a) 1\/2 (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23283 (base 13) to base 11\nAnswer: 44226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82\/5 - 78\/5. Let k be 4\/(-2)*(-5)\/(-10). Which is the third smallest value? (a) k (b) q (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -585 + 607. What is the remainder when 151 is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/29535 and 161\/437118?\nAnswer: 2185590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20431?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 912692158 to the nearest integer?\nAnswer: 30211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.1 minus -681?\nAnswer: 690.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*b*n*x + 9*b*n + 382*b*x - 389*b - 31*n*x + 3*n wrt x.\nAnswer: 3*b*n + 382*b - 31*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514241583?\nAnswer: 3, 171413861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011111000 + -1000010011?\nAnswer: 1011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**2 + 2*y + 7. Let p be 16 - (2*-2)\/(-2). Let n(q) = 7*q - 50. Let k be n(8). Let f(t) = 2*t**2 - t - 3. Give k*i(c) + p*f(c).\nAnswer: -2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/((p*p**(2\/5))\/p))*p)**(-49)*p**(2\/17)*(p*p**(-2\/3))\/p)**(1\/25) assuming p is positive.\nAnswer: p**(-30128\/6375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507090 is divided by 11518.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77.98 - -74.98. Let l = -22.09 - -22. Is m <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2334 = 474*g - 20346 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5541 divide 1527625995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -13*w + 187. Let v be f(14). Solve -4*k - 5*l - 2 = -9, 5 = -v*l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*s - 16*s - 64 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3 - 1 = -4*b, 5*d - 2*b = -65. Is -11 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*i = -11084, 4*i + 11083 = -0*l + l. List the prime factors of l.\nAnswer: 3, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 4579?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.006 + 4.006. Which is the closest to 2\/3? (a) -3 (b) y (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8172808, 8172806, 8172804?\nAnswer: 8172802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 1 = -2*d - 44, 45 = -5*i - 3*d. Let g(l) = 2*l - 11. Let f(u) = -u + 5. Calculate i*f(p) - 4*g(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0 + (-1 + -3 - -10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2933306506.\nAnswer: 2, 13, 112819481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + sqrt(2))**2 + -1*sqrt(98) - (((2*sqrt(18))\/sqrt(9))**2 + 2).\nAnswer: -9*sqrt(2) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22764900?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*-3*6*(1*-1*sqrt(245) + sqrt(245)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.045737 - -7814.97.\nAnswer: 7814.924263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 + 5*i**2 + 198*i**3 - 196*i**3 - 3*i**2.\nAnswer: 2*i**3 + 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66*(-6)\/84)\/(666\/9324)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73.999999 + 74. What is o rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1444*z + 35054 = -76134 for z.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 + -46. Solve -4*f - k = 3*c + 6, -15 = 5*f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 + -29. Suppose 4*n + 19 + l = o, -4*o + 5*n = -148. Calculate the highest common factor of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 - -66)*((-1)\/(-1) + 0) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/54)\/(185\/(-444))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 33021 = -3*o, -o - 20 + 22 = 0. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-10)*4*4\/(-8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m = -6*m + 39, 2*m + 9 = 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 - -1*12\/4. Suppose 4*l = 3*v + 13 + u, -5*l - v + 49 = 0. Solve 0 = -2*o + g + 7, 4*o - g - 4 = l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 11:33 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 568984c2 - 4?\nAnswer: 568984bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10, 1, 18, 41?\n\"Answer: 3*u**2 + 2*u - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -135 or -7558?\nAnswer: -7558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + 2*(6*2*sqrt(76)*1*5 + 0)))**2.\nAnswer: -21600*sqrt(19) + 9849825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i. Let q(o) = -9992*o + 2. Calculate q(j(n)).\nAnswer: 39968*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -90 * -69\nAnswer: 6210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -45576 smaller than -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 840 is divided by 142?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 11218 - 11218 + 21*p. Let f(g) = 925*g. Give 4*f(x) - 175*n(x).\nAnswer: 25*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 45 = 21*z - 42*z, 2*z - 4*q + 130 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8380 is divided by 4190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 8:50 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, b: 1, f: 2}. Give prob of picking 2 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + 5*(sqrt(19) + -1 - sqrt(19)) - (sqrt(304))**2*2.\nAnswer: -613 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 14 = -5*b. Let d = -3 + b. Suppose r + d = 2*m, -m - r - 4*r = -7. What is the least common multiple of m and 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 6*c**2 - 13*c + 41. Let z be r(7). Which is smaller: 8\/151 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000533922572 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30901823 and 4.\nAnswer: -123607292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -44, -63?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -71. Suppose 0 = 5*q - w - 277. Suppose -13*y + 11*y = -q. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*t + 92160 = -164*t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -q**6\/10 - 22*q**5\/5 - 105*q**4\/4 + 246*q. What is the third derivative of l(s) wrt s?\nAnswer: -72*s - 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 33*i**2. Let t(y) = 830*y. Give t(o(d)).\nAnswer: 27390*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33078 or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1024*f**2 + 4920*f - 2 - 4920*f to t*f**2 + z + a*f and give t.\nAnswer: -1024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -10, -0.1 in ascending order.\nAnswer: -10, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1720 (b) 1\/15 (c) 0.1 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**3 + y**2 + 2*y + 3. Suppose 56 = -2*q + 2*s + 62, 3*q - 4*s - 14 = 0. What is m(q)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*r + 1. What is the common denominator of 33 and r - -28*(-4)\/40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**4\/4 - 2*r**3 + 5*r**2\/2 - 1. Let g be k(5). Is g less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 2. Let p = 3 - 5. Let n be h(p). Suppose 2*k - 9 = 3*t - 2*t, n = -3*k + t + 11. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/47196 and 25\/175674.\nAnswer: 3162132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 8. Let d be (-4)\/((-8)\/2 - -2). Suppose d*w = -w. What are the prime factors of c(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473*n + 28891 = 197*n - 1549*n - 56884 for n.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -320 divided by 2?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 3242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -12*m**2 + 286*m + 41. Determine t(24).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 0)*(-2)\/4. Suppose 6*x - 304 - 50 = c. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3210 + 1550 - 1220 = 120*t for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - l**2 - l + 143. Calculate k(0).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 - 5. Find the common denominator of 49\/8 and (66\/o)\/(12\/165).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -269*a**3 + 2*a + 2. Is q(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/7 - (-656)\/56. Suppose 0*i = -5*i - q + 68, 5*i - 50 = 5*q. Which is smaller: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 6:37 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4033544 (base 7) in base 14?\nAnswer: -c685b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77708956?\nAnswer: 2, 13, 1494403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, o: 12}. Give prob of sequence vo.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 71352 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12248087 rounded to the nearest one thousand?\nAnswer: 12248000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1644300 to the nearest ten thousand.\nAnswer: 1640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 828 + 832 = 0, 0 = g - r + 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3867 - 3679. Calculate the lowest common multiple of j and 564.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) 0.1 (b) 5 (c) -0.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l + 4*l + l - l + 2. Let k be y(2). Solve -5*d - 5 = -5*r, 3*r = 5*d - k*r + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 5 = -5*x. Let d(m) = -m**3 + m**2. Let k(j) be the first derivative of -3*j**4\/4 + 4*j**3\/3 + 8620. Give x*k(r) - 4*d(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -343, -769, -1365, -2131, -3067?\nAnswer: -4173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -861*a = -863*a - 2*h - h - 138, 214 = 2*a - 5*h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710952041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q**3 + 2*q**2 + q. Let z be r(-1). Let n(c) = 2*c - 9. What are the prime factors of n(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -1\/2 (c) -8770 (d) 0.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(28)\/sqrt(4) + 0).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 826\/70 - (-11)\/(-1)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 273*k**2 + 2874*k - 2102. Give j(-262).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x. Let b(s) = 5*s**2 + 12*s - 24. Let f(a) = 4*a**2 + 13*a - 23. Let l(u) = -5*b(u) + 6*f(u). Let t be l(17). Calculate k(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.9401, -0.5 in increasing order.\nAnswer: -0.9401, -0.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 13*g. Let d(z) = 3795*z + 8. Give q(d(y)).\nAnswer: 49335*y + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2302747.2ns to minutes.\nAnswer: 0.00003837912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**2 + 0*z + 25\/4*z**4 - 3 - 2\/3*z**3. What is the third derivative of w(n) wrt n?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -14358, -1, 4 in descending order.\nAnswer: 5, 4, -1, -5, -14358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 77061*x**2 - 57*x\/8 = 0.\nAnswer: 0, 19\/205496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -181 + 186. Solve -3*h = -l*h + 10, 3*h + 1 = 4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3923.7 take away -3058.6?\nAnswer: -865.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4, -2*x - 54 - 26 = 2*i. Let o be x\/65 - (-2)\/5. Let k(s) = -s**3 + 6*s + 3. Let v be k(-2). Is v at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.337 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 5\/12, -2 in decreasing order.\nAnswer: 5\/12, 0.01, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(192) + 2)**2 - sqrt(3)) + -1 + sqrt(108)).\nAnswer: 74*sqrt(3) + 390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (7 - 2) - 1) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 367719807 times 1\nAnswer: 367719807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 9 = -h - 12, -2*g = 2*h - 6. Suppose 25 = j + 3*a, g*a = 8*a. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4623 (base 8) in base 3?\nAnswer: 10100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01688 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 133*b**2 - b. Let p be s(1). Let y = 1649 + -1637. What is the greatest common divisor of y and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 4 - (42 - 35) - -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -5538, 44 in descending order.\nAnswer: 44, 3\/4, -5538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 19 = -4*v, -5*v = 4*u - 10 + 2. Suppose 5*l + v*g = -0*g + 737, -3*l + 449 = -g. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -145 - 3?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -258 - -260. Let w(t) = 27*t**2 - 9*t. Let v(n) = 7*n**2 - 2*n. Give r*w(d) - 9*v(d).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210 by 6.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-1*0\/1. Suppose -3*t - 44 = -4*t. Suppose j + j - t = b. Calculate the highest common divisor of 110 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -11312511?\nAnswer: 11312511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111202 + 101122101?\nAnswer: 100010122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*t = 978, -2*c + 3*t + 69 - 557 = 0. Let f = c + 4201\/17. What is the fourth biggest value in f, 1\/3, 0.4, 2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 0 + (-22)\/(-16). Let p = -3.2 + 2.3. Let h = p - -1.1. What is the second biggest value in -0.4, h, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2104*f**2 + 8*f - 13. Let d(u) = 2*u**2 - 8*u + 10. Let q be d(2). Is p(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 33.6. Let q = -7.29 - -6.29. What is the nearest to 1\/4 in -1\/4, z, q?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44843171.\nAnswer: 191, 234781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/7 - 2*c**2\/7 - 13*c - 88\/7.\nAnswer: (c - 11)*(c + 1)*(c + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((247\/52)\/19)\/2. Factor 1\/2*h**2 + n*h**3 + 1\/4 + 5\/8*h.\nAnswer: (h + 1)**2*(h + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 79*m = 216. Solve 8*u + 29 + m = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 106 + 360 = 0. Suppose -18 - z = -4*j. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 6*w**2 + w - 4. Let x be c(6). Find the third derivative of t**3 - t**3 - 3*t**5 + 3*t**x wrt t.\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**4 - 96400*z**3 - 192855*z**2 + 674890*z - 385640 = 0.\nAnswer: -4, 1, 19282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -0.3 (c) 4 (d) 5 (e) -7 (f) -22.9 (g) -83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 117594*f**2 + 82*f - 347. Is h(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 862a889?\nAnswer: -862a88a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 333482350 to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-5) - (-3062)\/40. Let b = k + -78. Sort b, 3, 0.05.\nAnswer: b, 0.05, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*63.4\nAnswer: -25.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 + -1 - (-625 - -480)) + 1 + -15.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5220 is divided by 289?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (84 + -199) - 246?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7, 4, 15, 26, 37, 48?\n\"Answer: 11*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 12*r = 24. Let b = 56 + -52. Put r, b, 3 in decreasing order.\nAnswer: b, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -248383\/181 or -1371?\nAnswer: -1371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.5 + 10.457. What is y rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*t = -389*t - 197*t + 12455442. Does 186 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10010 (base 2) to base 5\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 3. Let n be c(4). Let q be (-22)\/(-11) - n*-2. Solve l - 2*h = -l + 8, -q*l - 4*h + 24 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3, -4 in ascending order.\nAnswer: -9, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3. Let s(x) = x + 4. Let m(c) = -3*f(c) - 2*s(c). Let l be m(-1). Suppose 0 = -l*v + 7*v - 220. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*y + 15 + 20 = 0, 3*t + 5*y = -11. Solve 0 = -5*p + t*z - 20, 2*p + z = 6*p + 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 54*f**2 - 32*f + 1271. What is m(-55)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 372771054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f + f**2 + 2 + 0*f**3 + f**3 + 3*f**2. Let w(n) be the first derivative of -n**4\/2 - 7*n**3\/3 + 5*n**2\/2 - 3*n - 5. Determine -5*g(c) - 3*w(c).\nAnswer: c**3 + c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -1, -39, 1, -0.2, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -y - 1, -8*y - 22 = -10*y - 4*u. Solve 0 = b + y - 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s\/(s\/s**(-12))*s*s**(-4\/3) assuming s is positive.\nAnswer: s**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**3 + 2*s**4 + 5*s**3)*(2*s + 4*s - 5*s) - 2*s**5 - 4*s**5 + 5*s**5 + 2*s**5 + 0*s**3 + 0*s**3 - 319*s + 2*s**4 + 319*s - 20*s**5.\nAnswer: -17*s**5 + 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 976, 1947, 2934, 3943, 4980, 6051, 7162?\nAnswer: 8319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 + 0.34. Let k = 10 - 9.9. What is the closest to k in 2, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 477*o*p**3 + 14*o*p**2 - 464*o*p - 3*p**3 - p**2 wrt p.\nAnswer: 2862*o - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 18. Let s = -27 + 47. Let a = s - 1. Calculate the remainder when a is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 8. Let l be r(-6). Suppose -w + l*q + 33 = 2*w, 0 = 2*w - 5*q - 33. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37673712?\nAnswer: 2, 3, 397, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 36 = 2*b, 89 = 4*t + 2*b + 43 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 11. Determine l(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5305 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 141474*b*g**3 - 133*b*g**2 + 7*b*g + 2*g**5 - 16*g**2 - 11 wrt g.\nAnswer: 848844*b + 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggmgmg. What is prob of sequence mgm?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 134 = -3*g + 3*t, -5*t - 40 = -g. Let i = g + -35. What is the units digit of (4\/(-8))\/(-1)*i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9548 and 1750364.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 9*w + 1. Let a be v(5). Let h be (12\/21)\/(6\/a). Find the third derivative of 0*c**3 - 10*c**3 - 6*c**3 + 22*c**h wrt c.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a centimeter in micrometers?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -238ca (base 15) to base 5\nAnswer: -12111430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 478, 955, 1422, 1873, 2302?\n\"Answer: -r**3 + r**2 + 481*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c + 147 = -3*c - 399 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18146954*o**5*p - 8*o**2*p - 67665*p wrt o?\nAnswer: -1088817240*o**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2 + 0 + (5 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmqlqmmqmqqmk. Give prob of sequence mlk.\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23066 = -591*i + 887*i + 5306 for i.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w - 2 + w**2 - 9*w + w)*(1 + 2 + 0) to t + s*w + n*w**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25*(-34)\/2550)\/((-2)\/(-78))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 0.4768?\nAnswer: 0.1768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k. Let c(x) = -4752153*x. Give u(c(v)).\nAnswer: -23760765*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 0 + 1\/20*r**5 - r**2 - 1\/3*r**4 - 1\/6*r**3 + 2*r. Suppose -27 = -3*k - 0*s - 3*s, -2*s = -10. Give g(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**3\/3 + 21*m**2\/2 + 10*m + 10. What are the prime factors of s(16)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x + x + 30*x - 236 + 236 + (-3*x + 3*x - x)*(6 - 1 - 4) - 3*x + 2*x + 3*x)*(2*x**3 + 2*x**3 - 3*x**3).\nAnswer: 32*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 - 2*g**2 - 18*g + 18.\nAnswer: 2*(g - 3)*(g - 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-14))**8 assuming v is positive.\nAnswer: v**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**4 - 97*p**3 - 273*p**2 + 873*p + 2538 = 0.\nAnswer: -94, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2757630.\nAnswer: 2, 3, 5, 91921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233 (base 6) to base 3.\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*g - 5*h, 2*g + 4*h = 0. Solve -3*m = -7*m, -r + 4*m = g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 634376?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 202890, 202696, 202502, 202308, 202114?\nAnswer: 201920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**2 + 378892*n + 26921496 = 0 for n.\nAnswer: -71, 94794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*l + 38*l + 59*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -404 or -123031\/304?\nAnswer: -123031\/304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(-5*sqrt(35)\/sqrt(7)).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 68 = 5*v, z + z + 40 = 3*v. Let a(r) = 6*r + 1. Calculate the remainder when a(v) is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -1. Let w(a) be the first derivative of -3*a**2\/2 + 2*a - 166. Give -3*n(b) - w(b).\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 8*o**2 - 10*o - 7. Let i be j(-9). Let k(r) = 2 - 3*r**2 - 2 + i*r**2. Let z(b) = 4*b**2. Give z(k(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, s: 5, w: 7}. What is prob of picking 1 o and 3 w?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 26200*n + 13*n**3 - 32*n**3 - 11 + 17*n**3.\nAnswer: -2*n**3 + 26200*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1599\/370 + 305\/74. Which is the closest to 1? (a) 2\/11 (b) -4 (c) 15\/22 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20053477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (56 - (2 - (-3 - -4))) + -1. Suppose -49*o = -v*o + 16825. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -195*r**3 - 106*r**2 + 4*r - 5. Let a(n) = -199*n**3 - 106*n**2 + 5*n - 6. Let g(z) = -4*a(z) + 5*y(z). What is the third derivative of g(c) wrt c?\nAnswer: -1074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 42522.8ng?\nAnswer: 0.0425228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -16 - 10 - -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (9 + -6 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 2*t + 10*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/10 - (-140)\/100. Let q = -3.4 - -3. Sort w, q, -2 in decreasing order.\nAnswer: w, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38276549?\nAnswer: 29, 109, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -6. Suppose -w*n - 17 - 23 = -5*f, 5*f - 37 = 2*n. Suppose 4*s + c + 364003 = 0, f*c - 2*c - 272985 = 3*s. Round s to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 20 + -19 + 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r**5 - 142*r**4 + 4281*r**3 - 8140*r**2 + 4000*r = 0. Calculate r.\nAnswer: 0, 1, 40, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 5. Let m be (2\/r)\/((-10)\/(-4)). Is -1 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 2*m**2 + m + 8 - 4*m. Is 10 a factor of o(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3756491179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03671 to three dps.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1898008 - -0.2.\nAnswer: 1898008.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + -2 - (-15 + 72 + -66)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-171)\/(-27) + (-2)\/6. Suppose 0 = 5*q - m*v + 2*v - 135, -2*q + 61 = -3*v. Suppose -w - 3*a = -q, 5*a = w - 0 + 1. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 1. Let n(o) = -o**3 - 6*o**2 - 5*o - 1. Let i be n(-5). Let b(m) = -m**3 + 7*m**2 - 2*m - 1. Let j(x) = i*b(x) + 4*d(x). Is j(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - 1*sqrt(133)*-1)\/sqrt(7) + 3)**2.\nAnswer: 12*sqrt(19) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -688 = -79*c + 14*c + 92 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 21299?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 618 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12210)\/(-9))\/11*(-27)\/(-90)*5. What is the highest common factor of 1184 and h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -695 and -16286781.\nAnswer: -16287476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/105)\/(522\/1305).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 5*r + 33. Let c be t(4). Put 2, 8, c in increasing order.\nAnswer: c, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9328365 divided by -3109455\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37.078 + 0.078. Let y = g + 37.6. Which is smaller: -8 or y?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 4*r - 3 = 0, -10*x + 3*r = -8*x + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 687250, 1374481, 2061712, 2748943?\n\"Answer: 687231*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h + 1. Let p = -6 + 0. Let t be (-2 + 8\/6)*p. Is x(t) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**5 - 172*b**4 + 2520*b**3 - 13328*b**2 + 10976*b = 0.\nAnswer: 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 13690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**15\/(r*r\/((r**(-14)*r)\/r)*r))**(-19) assuming r is positive.\nAnswer: r**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 297.98 - 303. Let w = 0.02 + d. Which is the second biggest value? (a) -0.1 (b) w (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -9, -33, -153 in decreasing order.\nAnswer: -9, -33, -40, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 5*v**2 + 7*v - 3. Let w be i(3). Solve -4*j + 3*d + 29 = w, -8*j + d = -3*j - 28 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -6*k + 956 - 2048 + 1030. Give m(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6*i + 5. Let a(p) = 2*p + 6. Calculate z(a(w)).\nAnswer: 12*w + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 570*h**2. Let b(i) = -31*i**2 + 3. Let j(m) = 11*m**2 - 1. Let x(t) = 2*b(t) + 6*j(t). Give d(x(n)).\nAnswer: 9120*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 + 8*o + 4. Let v be 7028\/(-52) + (-4)\/(-26). Let u be v\/25 - (-4)\/10. What are the prime factors of p(u)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjp when three letters picked without replacement from njympyjympymjpmmpmpj?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2468723?\nAnswer: 17, 145219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 72439198.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2712 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 18*l**2 + l + 1. Let b be c(18). Let j(a) = 20*a + 16*a - 59*a + b*a. Let r(g) = -g**2. Calculate r(j(z)).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i**3 + 6834*i**2 - 1952*i = 0. Calculate i.\nAnswer: 0, 2\/7, 976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (21 + 0 - 15 - 3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-5 + 8 - 4) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifgmfqa. Give prob of picking 1 q, 1 a, and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 6*z. Let o = -56 + 50. Let f be j(o). Solve -5*g + 3*g = f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 256\/20*-2*5\/(-4). What is the second derivative of 6*c - 355*c**2 + 146*c**2 + m - 14 - 26 wrt c?\nAnswer: -418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8069482 and 0.07?\nAnswer: 8069481.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2. Let g(i) = 3*i + 11. What is q(g(n))?\nAnswer: -9*n**2 - 66*n - 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*f + 22, -4*k + 64 = -k + 4*f. Suppose 4*x = 5*q + k, -5*q - 7 - 13 = -5*x. What is the remainder when 43 is divided by q - (-3 + -26) - 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 4:33 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -163\/65 - -30\/13. What is the closest to -1\/4 in 0.1, 1\/2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*v**2 - 144 + 2*v**3 + 144 - 2 - 2*v**3 + 2 + 2*v**2 - 2*v**3 - 2*v**2 + (2*v**2 - 5*v**2 + v**2)*(v + v - v).\nAnswer: -4*v**3 + 30*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232, -677, -1426, -2485, -3860, -5557, -7582?\nAnswer: -9941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -577709.49 to the nearest one hundred.\nAnswer: -577700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 882368494?\nAnswer: 2, 7, 63026321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/16)\/((-2)\/(-128)). Suppose -4*f = s + 116. Let x = -22 - f. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (10 - 13 - (-1)\/(-1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -5 (c) 24 (d) 6 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 + 3*o**2 - 2*o - 2. Let h be g(2). Let y = 3756 + -3701. Calculate the greatest common divisor of h and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500*m - 7057 + 1524 = 19467 for m.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 5*s**2 - 2*s + 13. Let c be z(-4). Suppose -3*y - 92 = -2*x, -66 = -5*x + c*y + 169. Calculate the greatest common divisor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/3, -2, 201, 0.07, -1\/3, -3?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*w**5 + 6*w**3 + 1096*w?\nAnswer: -680*w**3 + 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-35)\/14 - -3)\/(2\/8). Suppose -b*x + 485 - 154 = 5*m, -x - m = -173. Is 26 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 4 = -5*y, 3*o + 2*y - 29 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -64, -50, 3 in increasing order.\nAnswer: -64, -50, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 i, 1 j, and 1 w when four letters picked without replacement from itinnnitjtwjtthitn.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*w + 14 = -a, -6 = 2*a - 3*w. Is 10 a factor of (44 - a) + 4 + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126533?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-3))\/(-4)*-6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 427151652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(735\/1309) + 13*(-423)\/611\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 30*b + 29. Suppose -5*r - 197 = -52. Let k be x(r). Suppose -5*t - 8*t + 46735 = k. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50807919 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 413*j**2 - 3 - 141*j**2 + 3.\nAnswer: 272*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/145 and -121\/210?\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y**2 + 55*y + 11. Let w be n(-13). Solve 3*s + w = 126 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28035.27 rounded to the nearest one hundred?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 58*f**3\/5 + 831028*f**2\/5 + 595357056*f + 205291584\/5 = 0. Calculate f.\nAnswer: -7164, -2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9460*u**3 + 3*u**2 - 2*u**2 - 35941*u**3.\nAnswer: -45401*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14454?\nAnswer: 2, 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1424113, 1424103, 1424079, 1424035, 1423965?\n\"Answer: -t**3 - t**2 + 1424115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285519 divided by 2.\nAnswer: -285519\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*(sqrt(44)\/sqrt(4) + 5).\nAnswer: 30*sqrt(11) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 2211122?\nAnswer: 2211202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, 3, -1\/4, -2, -3\/16?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37789?\nAnswer: 23, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((4272\/(-7))\/12)\/((-8)\/84)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 5*s**2 + 6*s - 14. Let x be f(-7). Let l be x\/(-4)*8\/(-3). What is the greatest common factor of l and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54 - -3) + (1 - 2) - (-91 - (-136 + 39)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**4 - 15710*s**3 - 3085768*s**2 + 6234368*s = 0.\nAnswer: -196, 0, 2, 15904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a + 3*a - 7 - 6 + 2*a**2 + 9*a. List the prime factors of w(-9).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -27. Let m(r) = r**3 + 10*r**2 + r - 10. Let c be m(f). What is the common denominator of -145\/18 and 1\/12*(-3 + c)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -113271157*q**3 + 25209528*q - 5 wrt q?\nAnswer: -679626942*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**4 - g**4 + 2*g**4 + (0*g**2 - 4*g**2 + g**2)*(48*g**2 - 137*g + 137*g) in the form m*g**2 + w*g**4 + y*g**3 + x*g + o and give w.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p + 11. Let a(n) = -9*n + 23. Let k(w) = -3*a(w) + 4*s(w). Give k(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23568.01 rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 85*n**4 - 9*n - 1380 wrt n.\nAnswer: 340*n**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -100, -167, -252, -361?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11\/225 - -113\/450. What is the closest to u in 0.04, 1, -2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**16\/s)**(-1\/26)*s**(-43)*s**6*s assuming s is positive.\nAnswer: s**(-951\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 2*g + 10 - 29, -g = -2*v - 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-15))\/((-6)\/(-90)*21)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from chuuchks?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (1 + sqrt(171))**2*2)*-2 + 4 + (0 + (sqrt(19) - (-1 + sqrt(19))*-2)**2 - (-3 + (sqrt(19) + 0 + sqrt(19) + 0)**2)).\nAnswer: -582 - 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*n - 7*n - 52*n - 105*n.\nAnswer: -145*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 21 + 34. Let b = -5 - w. Solve -2*r = -b*r + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9329 in 0.3, -0.4, -6.6?\nAnswer: -6.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37078*l**4 - 19552*l**2 wrt l?\nAnswer: -889872*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3158*-0.1\nAnswer: -315.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 13*k - 12. What is y(-14)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -330381.4 rounded to the nearest one thousand?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 155?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/3 + 328*s**2\/3 - 13377*s + 229614.\nAnswer: (s - 77)*(s - 21)*(s + 426)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -15. Is 157\/s - (-14)\/(-35) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -366, 6, 630, 1506, 2634, 4014, 5646?\n\"Answer: 126*v**2 - 6*v - 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -55417800181575 + -0.5\nAnswer: -55417800181575.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/42704460 and 59\/280.\nAnswer: 597862440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 1007637954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(112\/49) + (-2)\/(-4).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 275 = -3*q, 3*q - 106 = -2*k + 177. Calculate the remainder when q is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - 1. What is the lowest common multiple of (2 - (-21)\/(-9))*b and (-158)\/(-18) + (-6)\/(-27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/8 of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38812260 is divided by 3881221.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 10, o: 4}. What is prob of sequence kkk?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4267 - -115535?\nAnswer: 111268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003977 rounded to five decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 601.13, -3, -0.28 in descending order.\nAnswer: 601.13, -0.28, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/18 and 4 + ((-225)\/(-80) - 2).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h. Let y(w) = -1287*w. Let d(x) = 2*x. Let j(q) = 468*d(q) + y(q). Give n(j(b)).\nAnswer: 351*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 433859520 a multiple of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*o = -1003, y + o - 2*o - 325 = 0. Does 47 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -9) + -16 + (-1 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t - 98*t**3 + 0*t - t**2 - 2 + 99*t**3. What is m(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 812770.\nAnswer: 2, 5, 7, 17, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 122, 5, -0.04812?\nAnswer: -0.04812","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1 = -3*z. Calculate the greatest common divisor of z and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1605 is divided by 401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*w - 3*s, -11*w + 4*s - 16 = -7*w. Suppose w = -3*a - 3*h - 3, 2*a - 4*a + 3*h = -13. Let z be (-4)\/(-10) - (-8)\/5. Solve -a*b - z = -0*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0 (b) -3 (c) 0.2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/463 - 1862\/2315. Suppose -6*b - 81 + 345 = 0. Let o = 44 - b. What is the second smallest value in -0.2, o, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d - 9. Let v be (6 + -2)*12\/8. Let i be g(v). Let o = 52 + i. Calculate the remainder when 9 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**3 + 45*s**2 - 20*s - 44. Give b(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 7.\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -242 > 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 5.5. Let g be (-1)\/(-3)*(-2 - -3). Suppose 0*d + 5*u - 27 = -3*d, 4*d - 25 = -3*u. Which is the closest to g? (a) x (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven halves of a hour?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.4 + 16.9. Which is the smallest value? (a) -4\/5 (b) 39 (c) 1 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 227\/57 + -145\/38. Let q(t) be the second derivative of 3*t + t**2 + 0 - z*t**3. What is q(9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - 7*t**3 + 2*t**3 + (-3*t**2 + 3*t**2 + t**2)*(-3*t + 4*t + t) - 68*t**3 - 113*t**3 - 10*t**3.\nAnswer: -192*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -1\/6*r**3 - 3*r + 2*r**2 + 0. Differentiate v(d) with respect to d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {j: 5, i: 1, u: 11}?\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 q when two letters picked without replacement from pqvqvcvvqcvpp.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 132597433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 + 67. Solve -2*p - o + 11 = -4*p, -15 = 4*p + c*o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.79 - -0.89. Put s, -1\/4, 0.7, -5 in decreasing order.\nAnswer: 0.7, s, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 39949*v + 120. List the prime factors of x(2).\nAnswer: 2, 40009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-2)\/80)\/((-1)\/104).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25 + c7183?\nAnswer: c715e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-179)\/13 - (28\/(-12) + 3). Let j = w + 4\/39. Which is greater: -13 or j?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372 - 7058*d + 372 - 18531*d + 7075*d.\nAnswer: -18514*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3\/5 - 33*j**2\/5 + 358*j\/5 - 168 = 0 for j.\nAnswer: -42, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 11. Let l be u(-11). Is 2\/25 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22270 rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b + 23 - 86 = -293 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/225)\/(22\/55).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 11*s**2 + 12*s + 38. What is the least common multiple of d(12) and 11?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59857 is divided by 13888.\nAnswer: 4305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1.98 * -5\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from agatatattttataaaaa.\nAnswer: 70\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -686 - -686.4. What is the second smallest value in -1, u, 94?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/5)\/q*q*q**(-7\/4))**(-2\/93))**(-18))**6 assuming q is positive.\nAnswer: q**(-486\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times -1324?\nAnswer: 1191.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 + 5*z**5 + 0*z**5 + (2*z**2 - 2*z + 2*z)*(0*z**3 + z**3 + 0*z**3) + 4*z**5 - 3*z**5 + z**5 - 11*z**5 + 19*z**5 - 3*z - 10*z**5.\nAnswer: 6*z**5 - 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -139\/411 - -2\/411. Let x = 5 - 0. Suppose -2*u - 6 = u. Which is the third smallest value? (a) u (b) x (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1133082 divided by -9\nAnswer: 125898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 2 = p. Suppose 6 = 10*t - p. Determine z, given that 1\/2 - 1\/4*z**t - 1\/4*z = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -21*o + 9. What is m in -2\/3*m**4 - 4\/3*m**3 + 4\/3*m + 0 + 2\/3*m**o = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 9:48 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -37*q + 38*q. Suppose -2*u = 5*w - 15, -q*u - 4*w + 24 = 5. Is 2 a factor of 1\/(1\/19) - u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01653103 to three decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide (4 - 9)*3\/((-30)\/1912)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 11.2672ml?\nAnswer: 0.0112672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-five quarters of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2852*n**2 - 11607*n**2 + 46915*n**2 + 30395*n**2.\nAnswer: 68555*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01 + 0.09. Let c = -0.1 + h. What is the nearest to 2\/7 in -3, c, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 7. Let m(q) = q - 4. Let a be m(6). Suppose 0 = 3*o - 15, -8 = -a*k + l*o + 11. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 0*s**4 + 0*s**3 + 0 + 35*s - 9*s**2 + 19\/20*s**5. What is the first derivative of g(y) wrt y?\nAnswer: 57*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -9. Let l = -0.1 - 0.1. Let w = -0.4 - l. Which is the second smallest value? (a) w (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 532 = -3*y + 2*c, -2*y - 3*c = -5*y - 528. Which is smaller: -181 or y?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**2*v + 40*k**2 + 2*k*v**2 - 568*k - 2*v**2 + 23524 with respect to k.\nAnswer: -2*k*v + 80*k + 2*v**2 - 568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -942175.567 rounded to the nearest one thousand?\nAnswer: -942000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by 6?\nAnswer: 37\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**2 + 10*n + 22. What is r(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -224, 0.3, -2\/7, 0.5 in decreasing order.\nAnswer: 0.5, 0.3, -2\/7, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6237, 21081, 45817, 80445, 124965, 179377?\nAnswer: 243681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 * -3\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22377853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9*-4*((-35)\/14 - -2). Suppose c - 7*c + x = 0. Solve -c*m + 3 = -0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 456*c - 281. Does 31 divide s(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*k - 17, -2*h + 3*k + 4 = -k. Suppose -4 - h = -c. What are the prime factors of c*((-9)\/(-2) - 3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (66 - 66 + 2*r**2)*(2 - 4 + 1) - 45*r - 73*r**2 + 45*r + 3*r**2 - 5*r + 5*r to n + y*r**2 + p*r and give y.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 3467*h**3\/3 + 736*h**2 + 110*h + 1. Differentiate f(g) with respect to g.\nAnswer: 6934","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*m + 3*m + 126*m**2 - 105*m**2)*(2*m + m - 4*m)*(4*m - 4 + 4) to u*m**4 + j*m**2 + v*m**3 + c + x*m and give u.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2\/7 (b) 26 (c) 43 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 1565*z**4 - 3*z**3 + z - 1567*z**4 + 5*z**2 + 3*z**3 to x + r*z + o*z**4 + i*z**3 + k*z**2 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 62? (a) -4 (b) 140 (c) 2\/7 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 9:27 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -77, -143, -223, -323, -449, -607, -803, -1043?\n\"Answer: -b**3 - b**2 - 56*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24021 - -10859?\nAnswer: 34880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**5\/60 + 7*b**4\/24 - b**3 - 5*b**2. Let r = 2 + 3. What is j(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 0)\/((-2)\/(-10)). Suppose -4*t = t - o. Suppose 3*s - 5*h = 34, 2*s - 2*h - 2*h - 26 = 0. Which is the second smallest value? (a) t (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q - 2. Let i(o) = -32 + 7 + 16 - 28. Let a(r) = 68. Let t(k) = -6*a(k) - 11*i(k). Give -b(n) + 2*t(n).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 757710 and 50514.\nAnswer: 757710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 16*k - 7. Let f(x) = x. Let l(u) = 2*f(u) + z(u). Let b be l(-19). Solve -4*t - 12 = -g + b, -3*t = g + 11 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175916 and 15912.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/2 (b) -1\/3 (c) -0.1 (d) -76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64948209, -64948208, -64948207, -64948206?\nAnswer: -64948205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 4*d - 3. Let a(v) = v**3 + 3*v**2 - 5*v - 3. Let x be a(-4). Suppose -4*f + 4*m = 28, -m - x = -3. Calculate g(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -46134.723?\nAnswer: -46138.723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 123996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5 + 3*j + 17*j**2 - 16*j**2 + 0. What are the prime factors of i(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 14 = 2*a, -2*n = a - 4 - 5. Calculate the remainder when n\/2 - (-14 + 0) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-2)\/(-40) + 0). Suppose -4*k + 0 = -y. Let a be 8149995\/k - (-1 + 0). What is a rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpzz when four letters picked without replacement from {z: 7, p: 5}?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 120 = -10*v. Let k = 29 - 44. Let l = v + k. Solve l*w + 2*w - 6 = 4*s, -3 = w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*z + 5*v + 20, -57 = -3*z - 3*v. Calculate the lowest common multiple of z and 124.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1153 by -191534.\nAnswer: 1153\/191534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5005? (a) 3\/4 (b) -0.024 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 250 and 725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5212.\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + -27. Let b = v - 23. Solve 5*r - h + 20 = 0, b*r - 3 = -4*h + 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -13*x**2. Let t(b) = -b**3 + 5*b**2 + 8*b - 43. Let d be t(4). Let w(o) = d*o - 5*o + 6*o - 4*o. Calculate r(w(p)).\nAnswer: -52*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from ppaaaftptljffpf.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -4*n - 2*o + 1, 3 = 3*o. Solve -14*h - 20 = -n*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82 + 248\/3. Put k, 6, 3\/4 in increasing order.\nAnswer: k, 3\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, q: 4, p: 2, i: 3, v: 1}. Give prob of picking 1 v, 1 i, and 1 t.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + sqrt(12)\/sqrt(4).\nAnswer: -2 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fradscdf. Give prob of sequence fadr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*h + 5. Let n = h - -2. Suppose -n*w + 16 = -41. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10548330 is divided by 1865?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 4:52 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3 (b) 0.07 (c) -45488.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -940999 divided by 163.\nAnswer: -5773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -9*q**2 - 3. Let h(w) = -8*w**2 - 2. Give -6*h(o) + 4*y(o).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106620\/14216*(1\/((-60)\/16))\/(6\/(-10)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 - 14 = 5*d. Let k be 275\/20 + (-1)\/(-4). Calculate the remainder when d is divided by 0 - (-3)\/(6\/k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 6:04 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93594 (base 15) to base 16.\nAnswer: -72046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001695 rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/154, -33, -3?\nAnswer: 3\/154","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 8. Suppose -d - 4*s = 1, h*d - 4 = s + 3. Suppose -8 = w - d*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38820)\/9058*(-4)\/(32\/21)*4?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v**3 + 7*v**2 - 14*v - 45. Let a(i) = 2*i**3 - 4*i**2 + 7*i + 23. What is 7*a(b) + 4*o(b)?\nAnswer: -2*b**3 - 7*b - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/4))**(-32)*(x*(x*x**(1\/9))\/x)**29 assuming x is positive.\nAnswer: x**(362\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2348762206 to the nearest 1000000.\nAnswer: 2349000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 2:24 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k**4 + 18655*k**3 + 483580*k**2 - 2599375*k - 1418250 = 0 for k.\nAnswer: -30, -1\/2, 5, 1891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 65, 2, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -119530, -119538, -119536, -119518, -119478, -119410, -119308?\n\"Answer: p**3 - p**2 - 12*p - 119518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4*u + 15442 = 15470, 28 = -a - 4*u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17995, 17993, 17991?\n\"Answer: -2*o + 17997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1521 and 234?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2 = -0*h. Let y be (2*6\/(-16))\/(63\/24). Which is the nearest to h? (a) y (b) -5 (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**6\/180 - m**3\/2 + 2*m. Let g(b) be the second derivative of i(b). Let v(s) = -s**2. Give g(v(u)).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3000*d = 2682*d + 289782 for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1 - 59*a + 2 as x + b*a and give b.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u + 6. Let i(t) = -5*t + 7. Let x be -1 - 0 - 7\/(-1). Suppose 5*y + 11 = 3*p - 39, y = 4*p - 27. Calculate x*i(k) + y*d(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -3, -41, 7886 in ascending order.\nAnswer: -41, -19, -3, 7886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.947 less than 2\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvqbii. Give prob of sequence bqqi.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5481, 5595, 5777, 6021, 6321, 6671, 7065, 7497?\n\"Answer: -a**3 + 40*a**2 + a + 5441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d12 - 70a?\nAnswer: -161c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((1 - (-4)\/(-8)) + 1)*34?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*o - 104. Let j = 147 - o. What is the remainder when j is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 - 1251*k - 14868.\nAnswer: -(k + 12)*(k + 1239)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 292112 - 266.35433\nAnswer: 291845.64567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 1, -3, -2, -228337.\nAnswer: -228337, -4, -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 12:58 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1194\/11 or -109?\nAnswer: -1194\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119.4 + -119. Sort t, 2, -4\/7, -0.4 in descending order.\nAnswer: 2, t, -0.4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.33, 1373, -10.\nAnswer: -10, -2\/9, 0.33, 1373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2 - 2*h + 2. Let z(o) = -17*o**2 + 11*o - 11. Let g(s) = -33*i(s) - 6*z(s). Let x(c) = 19*c**2. Give x(g(a)).\nAnswer: 171*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**7\/630 - f**5\/30 - f**4\/3 - 5*f. Let k(t) be the third derivative of o(t). Differentiate k(d) wrt d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45125615?\nAnswer: 5, 31, 347, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/8 - (-1)\/(-4). Let w = l - 1. Let 1\/3*s**4 - 2\/3*s**3 + w*s**2 + 2\/3*s - 1\/3 = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -3*c - 2*k, k - 86 = -2*c - 2*k. Suppose 4*s = -0*s - c. Let n be s\/(0 + 1)*-1. Solve -2*l - 4 = 2*r, -r - n + 4 = 3*l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -1 + 0 + sqrt(275)*1 + sqrt(275) + -1)*-5)**2 + 3.\nAnswer: 1000*sqrt(11) + 27603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -142 + 146. Let l(d) be the third derivative of -1\/42*d**c + 0*d**3 + 4*d**2 - 1\/210*d**5 + 0*d + 0. Suppose l(x) = 0. Calculate x.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjysydmypdjpjjyj. What is prob of sequence yy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 (base 13) in base 9?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9562762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176515*m = -175489*m - 153900 for m.\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*a - 3188 = -69*a - 10*a - 9166 for a.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1455*c**2 + 1015592*c + 1409. Give z(-698).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3728862\/11 at most as big as -338987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(5\/2)*n*n)\/(n\/(n*((n*n*n**(8\/5))\/n)\/n)) assuming n is positive.\nAnswer: n**(81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + sqrt(162) + sqrt(162)*-2*-1)**2.\nAnswer: -108*sqrt(2) + 1462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.06 + -0.06. Let o = 32 - 32.33. Let w = o + 0.43. Which is the closest to v? (a) -3 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4\/17, -0.5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 23*h**2 - 19*h + 30. Let d(t) = t. Let l(q) = 6*d(q) + k(q). Let s be 60\/(-50) + 357\/(-15) + 3. Let y be l(s). Round y to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26797222 is divided by 1956?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**5\/10 - 2*f**4\/3 + f**3\/6 - f**2\/2 - 8*f. Let q be d(4). Solve 0 = q*a + n + 4 + 5, 0 = -4*a - 2*n - 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*m - 4*l, m + 1 = 72*l - 73*l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3729400 to the nearest one hundred thousand.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10511689*b**4*n + 7*b**4 + 7*b**2*n - 48*b**2 + 317*b*n + 2*n wrt b.\nAnswer: -252280536*b*n + 168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnnyxnxrxxxxxnyx. What is prob of sequence rny?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from llllllyllllylyl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 252151984061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 2. Let i be d(4). Suppose 0 = 3*q - i*q + 4. Let l be q\/(2 - 3) - 2. Solve -l*m = 2*m - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 306, 750, 1392, 2238, 3294, 4566?\nAnswer: 6060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 358 and 24523.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*n**5 - 4*n**5 + 11*n**5)*(5 - 3 - 5).\nAnswer: 21*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u - 610. Let j(q) = -3*q - 610. Determine 3*j(g) - 4*w(g).\nAnswer: 3*g + 610","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v**3 + 4*v**3 + 11*v**3)*(-2144 + 1122 + 1075).\nAnswer: 1219*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -68*s**2 + 14412*s + 849. What is b(212)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6110, -12260, -18436, -24650, -30914, -37240?\n\"Answer: -2*j**3 - j**2 - 6133*j + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57206 is divided by 557.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 3366\/(-570) - 2\/(-19). Let k(i) = i**3 + 7*i**2 + 2*i + 7. Let g be k(-7). Which is smaller: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23434 and 10?\nAnswer: 117170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216 divided by -72.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/(-17)*1\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 619001*b**2*m**3 + b**2*m + 16*b*m**3 - 7*b*m**2 - 3514*b*m - 110*m**2 + 3*m wrt m?\nAnswer: 3714006*b**2 + 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*d**2*w**2 - 4*d**2*w + 582346*d*j*w**2 + 2*d*j*w - 23*d*w + 160*w + 11 wrt w.\nAnswer: -14*d**2 + 1164692*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 25.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 388?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8038 is divided by 120.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -15*x + 5. Let c = 5927 + -5921. What is s(c)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i = 118 - 46 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 c, and 1 u when four letters picked without replacement from {r: 1, v: 2, u: 3, d: 1, c: 3, n: 3}?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - a + 3*a - 1406136420*a**2 + 1406136422*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000029369 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*48497.\nAnswer: 824449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 8*j - 14. Let f be i(-4). Let h be 4 + (f - 29\/9) - 3. What is the closest to -4 in h, -2, 0, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 15. Solve 0 = b + 2 - l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3515 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/104 + (-10)\/65. Let w(m) = -m**2 + 10*m - 3. Let t be w(6). Suppose y = g - 4*g + t. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.59663 rounded to one decimal place?\nAnswer: -16.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -6. Let z = 19 - c. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1025*r*y**3 + 1002*y**3 wrt r.\nAnswer: -1025*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + -6*(sqrt(343) + -1 - sqrt(343)) - (-2 + sqrt(343) + sqrt(343) + -1*sqrt(343)) - (-1 + 1*sqrt(343) + 4))**2*5.\nAnswer: -350*sqrt(7) + 1840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 = -99*o + 80*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + r + 2*r + 27 - r.\nAnswer: 2*r + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.08, 0.1, 209, -3\/16?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9092*u + 9092*u - 103*u**2)*(-u + 6*u - u) to h*u**3 + o*u + y*u**2 + t and give h.\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/134, 1\/7, 2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*v + 5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 <= 160\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 1383*w - 2. Let h(u) = -4*u**3 + u**2 - 5524*u + 8. Calculate 2*h(r) + 9*t(r).\nAnswer: r**3 + 2*r**2 + 1399*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1441196)\/(-68088) - (-186)\/(-9)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 12, n: 6}. What is prob of sequence njnn?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2705, 5418, 8135, 10856, 13581?\n\"Answer: 2*h**2 + 2707*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**2\/2 + f + 3. Is 3 a factor of g(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 24*o - 116. Let b(n) = 3. Let y(r) = 6*b(r) + z(r). Calculate the lowest common multiple of 90 and y(13).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -747330 divided by 24911\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-3)\/sqrt(9) + -5 + ((sqrt(17) - sqrt(1377)) + sqrt(17))**2.\nAnswer: -3*sqrt(17) + 828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/33 (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -z, 2*z - 3*m + 7*m - 32 = 0. Solve -j - 2*q = q, 0 = 2*j - 2*q - z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, 10, 0, 4\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**2*o - 600090*i**2*r**2 + 15*i**2*r + 2*i*o*r**2 + 594*i - 24*o*r wrt r.\nAnswer: -1200180*i**2 + 4*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -5 (b) 1\/8 (c) 4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zntz when four letters picked without replacement from ztzzznt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230033210 (base 4) to base 13.\nAnswer: 64640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e5bdf1 (base 16) to base 7.\nAnswer: -241656056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ene when three letters picked without replacement from nnekeknxcncepp.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**2 - 5 - 7*v**2 + 3*v**3 + 9*v**2 + 2*v + 2*v**4 to the form w*v**4 + b + a*v**2 + q*v + g*v**3 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 7762*k + 85515. What is i(11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - s**2 + s. Suppose -7 = n - 2*o, -15 = -n - 3*o - 2. Let x be f(n). Let m be (9\/108)\/(x\/2). Sort -1\/4, m, 1\/9 in increasing order.\nAnswer: -1\/4, 1\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-1)*(-20)\/20 + (1 - -11742).\nAnswer: 17, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6883.8 - 23671750\nAnswer: -23664866.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) 4\/257 (c) -0.5 (d) -0.19 (e) -3\/35 (f) -1\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z. Let j(b) = 2*b - 7. Let u be j(6). Suppose -u*c = -27 + 7. Let a(p) = -p + c*p + 4*p. Determine a(w(q)).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v + 8. Let f(z) = -z. Let y(b) = -3*f(b) - x(b). Let q be y(13). Let c be 1 + -1*2 + 2. Put c, 3, q in ascending order.\nAnswer: c, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 347789\/30 + -11595. What is the common denominator of z and -59\/1131?\nAnswer: 11310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7392 divided by 209.\nAnswer: -672\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -8. Suppose -2*v = -1 + i. Let j(h) = -2 - h + h - h. What is j(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y + 2*y - y)*(90*y + 95*y - 12 + 9)*(-1 + 6 - 3) to the form g*y**2 + p*y + b and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23120 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-5))\/(9\/(-99900)*90)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*r**(6\/5)*r*r))\/((r*r**(-1))\/r))\/(r\/((r**2*r*r*r)\/r*r)*r)**44*((((r\/(r\/(r*r**3\/r*r))*r*r*r)\/r*r)\/r*r)**1)**(3\/32) assuming r is positive.\nAnswer: r**(20713\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -28*l**2 - 13*l - 2226. Let x(w) = -33*w**2 - 15*w - 2227. Give 7*k(s) - 6*x(s).\nAnswer: 2*s**2 - s - 2220","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**4 + 2244*l**3 - 29644*l**2 + 116844*l - 144648.\nAnswer: 4*(l - 7)*(l - 3)**2*(l + 574)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v - 15. Let a(i) = -8*i**2. Calculate a(x(n)).\nAnswer: -32*n**2 + 480*n - 1800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f - 4*u = -27*f - 24, u - 45 = 11*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3829841\/392 + -9770. Calculate the common denominator of -59\/160 and f.\nAnswer: 7840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -2\/9, -7, -0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5322*y + 1682*y - 37934 = -339902 - 363412 for y.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a. Let r(l) = 30*l + 25. Let n(m) = -25*f(m) + r(m). Let g(o) = -o - 4. Suppose 20 = -t + s, -4*t - 4*s - 125 = s. Give t*g(i) - 4*n(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 0, 1\/21, 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/2*(-2)\/4. Solve -2*g = -4*g - w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 10. Let g be p(-5). Suppose -3*h = 5*o - 49, -o = -4*h - h + 7. Suppose 0 = -4*q + o, 5*q = -g*t + 24 + 6. Which is smaller: 6 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**4\/12 - 2*y**3\/3 + y. Let j be i(4). What is the units digit of 12 - j\/(1*-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1506\/15*(-35)\/21*-3. Let f = -295 + q. Calculate the highest common divisor of f and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/22 and -93\/154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 - 3*z + 1. Let a be n(2). Let j = a + 0. Suppose r - 17 = 5*k, -r + 2*k + 11 = -k. Solve j*s - r*s = 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**8\/1280 - i**7\/280 - i**6\/320 + i**5\/80 - i**4\/3 - 2*i. Let k(s) be the third derivative of c(s). Factor k(n).\nAnswer: -3*(n + 1)**2*(7*n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 851992?\nAnswer: 2, 281, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -42. Let l = -23 - o. Let u = 65 - 61. Which is the nearest to l? (a) u (b) 4\/5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 312, 313, 314?\n\"Answer: d + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3587117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/11, -2, -38?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**5 - 114*n**4 + 1440*n**3 - 6048*n**2 = 0. What is n?\nAnswer: 0, 12, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, -1, -44, -101, -172, -257, -356?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/662 and 95\/1324?\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -8. Suppose 3*t + 11 = 5*h, 7*t - 23 = -2*h + s*t. Suppose -19 = -5*k - 5*x - h, 0 = 5*k - 5*x + 25. Let p(v) = -9*v**2 + 1. Calculate p(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89 - -117. Let j be p*(17\/4 - (-7)\/(-28)). Let t be ((-4)\/(-16))\/(4\/j). Solve t*r - 2*r - 5 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*t = -s - 165, 4*s - 4*t - 228 = 0. Suppose 0*v - 3*v = -s. What is the greatest common factor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12858227 (base 9) to base 2.\nAnswer: 11000010000000001001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 20 = -2*d + 5*d, 0 = -4*s - 5*d - 36 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49.7749 - -9.06.\nAnswer: -40.7149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33.2 - 2.8. Let u = -2813.2 + 2813. Put 2\/9, u, w in decreasing order.\nAnswer: 2\/9, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*x - 3 + (5*x + 0*x - 3*x)*(2 - 1 + 2) + 3*x + 4*x - 5*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 11668*r + 2 + 11671*r - 23447*r in the form s + x*r and give x.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 1118*i - 2247*i - 2 + 1125*i. Give s(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/1)\/(20\/(-40)))\/(16\/(-144))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c**2*m - 41086*c*m**3 - 15*m**3 - 1810*m wrt c.\nAnswer: 2*c*m - 41086*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/47? (a) -804 (b) -2\/5 (c) -4 (d) 1\/2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, w: 2, b: 2, p: 2, m: 1}. Give prob of sequence mp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -6\/17 (c) 1\/5 (d) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4276 + -5?\nAnswer: 4271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3462 - -4?\nAnswer: 3466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22 + 302?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**3 - 20*j**3 - 2*j**3.\nAnswer: -27*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1712 - -2995. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -45*m + 13 - 11 + 52*m + 15. Let n(h) = -2*h. Calculate n(f(c)).\nAnswer: -14*c - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 27 + 19)*(2 - w - 2).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 107190289 to the power of 1\/2, to the nearest integer?\nAnswer: 10353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -1 + -1 + 0. Suppose -s + 5 + h = 0. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1156 is divided by 1139?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 54*x - 230. Determine v(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001612098 to 5 decimal places.\nAnswer: -0.00161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19046 and 428.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 3*h. Let v be f(-3). Suppose 4*o - 9*o + 60 = v. Let j = -28 + 32. Solve o = 4*c + j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16878980 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2620 (b) 20\/11 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 1\/2*t**2 - 1\/8*t**4 + 7 - 3\/4*t + 5\/12*t**3. What is d in c(d) = 0?\nAnswer: -1, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -780070, 8 in descending order.\nAnswer: 8, -7, -780070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623390741?\nAnswer: 19, 263, 124753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {r: 4, e: 1, x: 4, b: 3, w: 2}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2. Let i(u) = -3*u**2 - 2*u. Let x(k) = 2*f(k) + i(k). Let w(b) = b**2 - 2*b + 3. Let d be w(1). Calculate x(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 24761 - 49107 + 25675)*(-2*b - 6*b + 5*b).\nAnswer: -12*b**2 - 3987*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -200, -201, -202, -203, -204, -205?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -32112303?\nAnswer: -32112232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10269 or 10265?\nAnswer: 10265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (18 - (-19417 - -9)) + 13 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92215 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 1010874?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -82*b + 82 + 574 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35 + -4?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 292211 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -9 + -1 - (4 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 939\/9 + (-8)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 1865*b - 1865*b + 0*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 105*n. Let m(r) be the second derivative of -r**4\/6 - 17*r**2\/2 - 7699*r. What is m(f(u))?\nAnswer: -22050*u**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 11:52 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 7:45 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*z**5 - 25595*z**4 + 82775*z**3 - 94305*z**2 + 42890*z - 5720 = 0. Calculate z.\nAnswer: -572, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 3, -4, -15?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35235 is divided by 476?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.11 + -2.61. Let q = x + 2.3. Let d(t) = -t**2 - 2*t + 119. Let z be d(-12). What is the nearest to -1\/3 in z, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/2, 2, 61, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - sqrt(500)*-1)\/(sqrt(12)\/(sqrt(3) + sqrt(3) + sqrt(48))))**2*3.\nAnswer: 19440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7766\/1765)\/((-4)\/10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.2, -355?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 3 + (1 - -1). Let k be 12\/2*(-39)\/(-78). Suppose k*v = 2*v + 2, 0 = -3*a + v + 79. Calculate the highest common divisor of y and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.08046984 and -74.2.\nAnswer: -74.28046984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2756 or 2758?\nAnswer: 2756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/6, 217, -19\/53.\nAnswer: -19\/53, -0.1, 1\/6, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - h. Let d(s) = -5*s**2 + 3*s. Let n = 175 - 174. Give n*d(u) + 4*i(u).\nAnswer: -u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 851 is divided by 99?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -26. Let t = -1.8 - 5.2. Let l = q - t. What is the closest to 3 in l, -3, -3\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 3*h + h - 4, 0 = -r - 4*h - 14. Let p be 2\/r - 49\/3. Is (16\/p)\/(1\/(-179)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/690, -3, 8, -3\/10 in decreasing order.\nAnswer: 8, 0.2, -1\/690, -3\/10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from {c: 1, m: 1, z: 1, k: 1, d: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -770*t**2 - 4625*t - 56. What is h(-6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 5*c**6\/6 - 2*c**5 + 5*c**4\/4 + 349. Factor s(b).\nAnswer: 5*b**3*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1755*w + 263*w - 227007 = 1197*w + 101051 for w.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/33 + 2 - 56\/6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, 103, 7 in increasing order.\nAnswer: -64, 7, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 3)*(a - 3 + 3) + (2 + 3 - 1)*(0 - 3*a + 0) to u*a + z and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62*d**3*q**2 - 14*d**3 + 1095*d*q**3 - d*q**2 + 45178*q wrt q.\nAnswer: -124*d**3 + 6570*d*q - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 4 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-2))\/((-1)\/72)*2. Suppose -43*h + l = -47*h. Does 3 divide (h\/(-3))\/((-10)\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -65224 >= -65218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4714, 19567, 44394, 79195?\nAnswer: 123970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63 - 172901.32.\nAnswer: -172964.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 a factor of 1122641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 7*h**3 + 45*h**2 - 5. Let r(u) = 7*u**3 + 44*u**2 - 6. Let n(b) = 6*q(b) - 5*r(b). Find the third derivative of n(a) wrt a.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-1)*2\/6. Let z = 11040.02 + -10844. Let y = -196 + z. What is the fourth smallest value in 0.2, 0.3, d, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4023 (base 8) to base 13\nAnswer: c30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129029\/10 - -12891. Let i(b) = b**3 - 9*b**2 - 18*b - 8. Let d be i(10). What is the common denominator of k and (-1*(-95)\/(-6))\/(d\/(-33))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6986006622?\nAnswer: 2, 3, 7, 17, 1087147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 3*u = -3*o, -2*o = u for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 8*i + 3*s = -9, 4*i - 2*s - 14 = 0. Let c = 124 - 124. Factor c + 0*q**i + 3*q**4 + 0*q**2 + 0*q + 9\/2*q**5.\nAnswer: 3*q**4*(3*q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -6 - 6. Suppose w*j + 44 = 5*q, -j + 10 = -2*q + 6*q. Is (249\/9)\/((-2)\/j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.14, 0, -438, 1760, -1\/3 in decreasing order.\nAnswer: 1760, 0, -0.14, -1\/3, -438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642057?\nAnswer: 3, 13, 101, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98081 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5753 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -7*q + 6*w + 35, 4*q + 5229*w - 56 = 5237*w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckp when three letters picked without replacement from {p: 1, k: 3, g: 5, x: 1, c: 1, m: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/(-30) + (0 - (-117)\/(-2)). Let y be (2\/(-4))\/((-2)\/(-32)). Let o = y - a. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 1, -21, -101, -15, 4, 2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/19005 and -59\/6335?\nAnswer: 19005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 412.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-36)\/192)\/(3\/4)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 7:50 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 775*m - 11*m**2 - 389*m - 386*m.\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.6 - -7.7. Let i = h - -7. Let k = -3 - -5. Which is the third biggest value? (a) i (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55602171 and 2745?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1903152 by -10232.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122136.2 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/100 and 32\/25?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k = 11*k - 81. Solve -k*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 351438 and 2118.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 325879 to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-81)*231*-3. Let v be (-7)\/(-2)*(3 + -1). What is the highest common factor of a and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4077\/(-906))\/((-54)\/240)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*39\/(-94185)*-69?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(20\/(-35) + 1). Suppose -2 = -c - 1, -3*p + 1 = c. Let y = 0 + p. Sort f, y, 0.5.\nAnswer: f, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 182148318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1045754\/289 at most as big as -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -117 + -1?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-46.2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2*(41 - (-3)\/(5 + 1)) is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 231 = 3*o, -93 = -0*l - 2*l + 3*o. What is the remainder when l is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - j - 1)*(0 + 2 - 1) - 14 + 16 + 4*j + 4*j.\nAnswer: 7*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 780725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 1)\/(3\/4). Suppose -3*h - 2*p = 2*h - 23, -2*h + 2*p = -12. Suppose -6 = -2*q - v, -q + 2*v - 2 = -0. Sort g, h, q in decreasing order.\nAnswer: h, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3, 4*g + 7*z = 6*z + 173. Suppose -35 + 0 = -5*c - u, -4*c - 4*u = -g. Solve m + c = -2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -198.15.\nAnswer: 198.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 441 - 421. Suppose 0 = -5*j - x, 23*c + 4*j + 1924 = 24*c. What are the prime factors of c?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3 + 20*r**2 + 3*r**2 - 14*r**2 - r**2 + 2*r**2. Let q(c) = -20*c**2 - 5. What is -5*p(n) - 3*q(n)?\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1135185311 to the nearest integer?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -15. Suppose s = -4*p + 6*p. Let l = 5 + -3. Solve -4 = p*f + l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -51, -252, -697, -1476, -2679, -4396, -6717?\n\"Answer: -15*p**3 - 32*p**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6817*f + 543113 - 65923 = 0 for f.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1580360 - 5*s + 7*s - s.\nAnswer: s - 1580360","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42327196 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*f + 84372 = -37*f + 7*k, -4*k = -16. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3155 - 10?\nAnswer: -10.3155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v - 301 = -119 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -g, -5*i - 3*g = -8*g - 20. Solve 2*p = -2*h - i, 5*p = 4*h - 3*h + 9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z. Let w(u) = u + 7 + u - 7. What is k(w(j))?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -108238 and -0.013.\nAnswer: -108238.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4*b = -b + 1, 4*j + 3*b + 13 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f - f + 3*f + (-4*f + f + 2*f)*(2 + 1 - 4))*(-4 - 1 + 6) as o + z*f and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 327, 351, 375, 399?\n\"Answer: 24*x + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 8:41 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 10. Put -1, 2, 1, u in ascending order.\nAnswer: u, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 11. Suppose 3*c - c - p - 7 = 0, 2*p - 10 = -4*c. Suppose -5*n - 12 = 8. What is the nearest to 1\/2 in x, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*r + 3*u - 2, 4*r = -5*u + 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/6 and -29\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from vkiuevviyuevkkue.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.45 plus -199162?\nAnswer: -199038.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1385.54 or 1\/107?\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-1))\/(16\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-129210)\/(-1652))\/(-73)*-2?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1068 - 5281\/5. Let m = x - 12. What is the biggest value in -4, m, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*v + 78 = -92*v. Which is greater: 133 or v?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o + 1 + 192*o**2 - o**3 + 3*o**3 + o**4 - 193*o**2 + 0*o**4 + o as k*o**3 + i*o + q + t*o**4 + m*o**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*d + 2*k = 12, 5*d + 3*k = 25. Let y = d + -8. Let p be -1 - (-2)\/(y\/(-39)). Calculate the highest common factor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4207 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1669 - 14 = c, 3*t - 8415 = 5*c. What is the hundreds digit of 4*(c\/(-60))\/(-11)*-175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n + 40. Suppose 5*p - n = -0*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 4*i = 0, 0 = 77*u - 81*u + 2*i + 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.422428, 2, -1\/9, 1\/4, 0.3 in descending order.\nAnswer: 2, 0.3, 1\/4, -1\/9, -0.422428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (3 - 9)) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 39*a**2 + 22*a + 19. Let p(o) = 79*o**2 + 45*o + 39. Let i(n) = -13*l(n) + 6*p(n). Let k be i(-11). What is k rounded to the nearest one hundred?\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hv when two letters picked without replacement from {m: 1, v: 1, j: 2, h: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from swwqswwwmqsssswwt.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, -3, 178, 386 in decreasing order.\nAnswer: 386, 178, 7, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10062193, -10062210, -10062229, -10062250, -10062273?\n\"Answer: -l**2 - 14*l - 10062178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 284*p + 3984.\nAnswer: -4*(p - 12)*(p + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 211722887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a kilogram in grams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.8 - -9.05. Let h = 0.05 - n. What is the nearest to 0.3 in h, 5, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1887398?\nAnswer: 2, 943699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14660\/183250*(-2)\/(-4).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 + 2*f**4 + 113 + 572490*f - 572487*f)*(-2*f + 3 - 3).\nAnswer: -2*f**5 - 6*f**2 - 226*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11322132 + 2?\nAnswer: -11322130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -544*h*s**2*y**2 + h*s**2*y + 6476*h*s*y + h*y - 125*h + 7271*s**2*y**2 - 1 wrt y?\nAnswer: -1088*h*s**2 + 14542*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1) + -5 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*t - t = -16, 5*y = 5*t + 65. Let i be y\/(-12) + (-11)\/(-4). Solve g - 6*j + 4*j = 1, 2*g = -i*j - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4, -4\/3, -3\/14, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 722271312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 9*b + 5. Let p be a(-3). Let m = p + 16. Solve -13 = 5*c - 0*f - 3*f, 0 = -m*c - 4*f - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**5 + 759058792*l**3 + 212406307*l**2 wrt l.\nAnswer: -120*l**2 + 4554352752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**4 + g**3 - g**3 + (-1 - g**2 + 1)*(2*g**2 + g**2 - 2*g**2).\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2054 (base 7) in base 4?\nAnswer: 23111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 0)*(508*p - 889*p - 834*p + 76*p - 1689*p) in the form l + h*p and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 12\/25 of a microgram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9061*y**4 + 6793 wrt y?\nAnswer: -36244*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450 - 190 = -8*v - 18*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 83 - 203 = -99. Which is the closest to 2? (a) 5 (b) 0.08 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(245)*4 - 6*(sqrt(245) - (-2*sqrt(245) + sqrt(245))**2))*3.\nAnswer: -210*sqrt(5) + 4407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28 - 2*f**2 - 20*f**3 - 21 + 9*f**6 - 3*f**2 - 4*f**2 wrt f?\nAnswer: 1080*f**3 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31524562?\nAnswer: 2, 17, 83, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*r**2 - 65181*r - 14*r**2 + 13*r**2 + 130369*r - 65188*r.\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**3 + 2*s**2 - 4*s. Let f(w) = 5*w**3 + 5*w**2 - 9*w. Let n(l) = -4*f(l) + 9*z(l). What is the third derivative of n(g) wrt g?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 8 - 4. Let q(j) = -3*j**2 - 4*j - 3. Let a be q(p). What is the tens digit of 2*(4 + -6) - a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmmwmmmm. What is prob of sequence mww?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4 - 68*x**3 - 244*x**2 + 468*x + 648.\nAnswer: -4*(x - 2)*(x + 1)*(x + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.046833 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = j + 15, i + 2*j - j - 9 = 0. Suppose -7*m + 2*m - 25 = -r, i*r = -m + 16. Suppose -r*x + 3*p + 6 = -17, -2*p - 2 = 0. Sort 0, 2, x, -2.\nAnswer: -2, 0, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636393 is divided by 126899?\nAnswer: 1898","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -6?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7\/u*u)**(5\/4)\/((u**(-24)*u*u*u)\/u**(1\/15)) assuming u is positive.\nAnswer: u**(1789\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-300)\/125*30\/9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.8 - -14. What is the nearest to 0 in l, 0.3, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.382086243 to two dps.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t**(4\/3)*t)\/t))\/(t\/((t\/t**(2\/23)*t)\/t*t)*t)*(t**(2\/3))**(-35) assuming t is positive.\nAnswer: t**(-1708\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.5, -3\/7, 24 in decreasing order.\nAnswer: 24, 6, 0.5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 5*l, 2*c + 2*c + 2*l = 0. Sort -12, 3, -2, c in descending order.\nAnswer: 3, c, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41215?\nAnswer: 5, 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nyanjsaasssnn. What is prob of picking 2 y and 2 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**4\/11 - 2*l**3\/11 + 6*l**2\/11 + 10*l\/11 + 4\/11 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4170 divided by 15\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcc when three letters picked without replacement from qqcsccqqcqcqcpc.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - -12431?\nAnswer: 12444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 287154 and 756?\nAnswer: 1722924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 132*g**2 - 3. Let n(l) = -7*l**2. What is n(c(t))?\nAnswer: -121968*t**4 + 5544*t**2 - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 12*w**4 + 10*w**3 - 10*w**2 - 2*w. Let g(m) = -m**4 - m**3 + m**2. Let i(n) = 20*g(n) + 2*o(n). Find the second derivative of i(c) wrt c.\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2 - 3*l + 1 + 1 - 4. Let u(h) = 2*h**3 + h**2 - 1. Let o be u(1). Suppose o*m = b - 2, -2*b + 4*m = 2*b. What is z(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u. Let q(b) = -21*b**2 + 2*b - 2. Let l(y) = 2350*y**2 - 225*y + 225. Let z(h) = 2*l(h) + 225*q(h). Determine r(z(m)).\nAnswer: 100*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -187*q + 190*q. Suppose 3*c = 4*a - q, -4*a - c - 4*c + 36 = 0. Solve -o = a*o + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + n + 2*n = -16, -b + 8 = -n. Which is bigger: b or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upu when three letters picked without replacement from upup?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 21*y**2 - 25*y - 84. Determine a(-22).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 79\/12 in -3\/8, 0.6, -1, -0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1962 - 2?\nAnswer: -1964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/16 and 11\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/((-18)\/9))\/(20\/90)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/189 and 71\/909.\nAnswer: 19089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + (sqrt(336) - 2*sqrt(336)))\/((sqrt(3) + sqrt(6)\/sqrt(2))*3) - (-2*sqrt(1008) + -2 + sqrt(1008)).\nAnswer: 2 + 23*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -143 + 10?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1025, 1007, 991, 977, 965, 955, 947?\nAnswer: 941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -33134124 divided by 5522354\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -194*i**2 - 426*i.\nAnswer: -388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58629, 117256, 175881, 234504, 293125, 351744, 410361?\nAnswer: 468976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 7*q**2 - 8*q + 11. Let z be f(5). Let l = z + -19. Solve l*s = 2*v - 2, 4*v = -4*s - 7 - 21 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5076264.\nAnswer: 2, 3, 257, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-21))\/((-63)\/1323)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**5 + 3*j**5 + 10*j**5 + (j + j - 4*j)*(0*j**3 + 2*j**4 + 0*j**3) + 0*j**5 + 3*j**5 - j**5.\nAnswer: 9*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c**2. Let x(q) = -4*q - 3. Let u(v) = 4*v + 4. Let a(m) = 3*u(m) + 4*x(m). Give l(a(n)).\nAnswer: 128*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f*h**4*t + 37*f*h**4 - 2*f*h**2 + 2*f*h - f + 4*h**3*t + 195*h*t wrt h.\nAnswer: 48*f*h*t + 888*f*h + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, -0.2, 6\/5, 11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - 0) + (-5 - -2). Suppose -21 + 8 = 3*l - 4*x, -l - 4*x + k = 0. Which is the third biggest value? (a) -2 (b) 0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*90\/(-8)*(-72)\/(-54).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -57*r**3 - 467*r**2 - 104*r - 121. Give o(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*5*52\/(-325)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 64 - 62 = 0. Let s be z\/(-2)*-2*(-9)\/27. Solve -s - 13 = -5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 10 - 920\/80. What is the smallest value in -1, j, -0.44?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 1528.\nAnswer: 1526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 + -30 + -44 + 57.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, o: 7}. Give prob of sequence oto.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j + j - 3*j + (j - 2*j + 0*j)*(-9 + 4 - 8) + 4*j - 10*j + j to the form k + d*j and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93 + 92.55. Let s = w - -0.45. Which is smaller: 52 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*c**2 + 11 - 11)*(-6*c - 4*c + 3*c) + c**3 + 3*c**3 + c**3 in the form q*c**2 + i + v*c + o*c**3 and give o.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*q**4 - 261*q**3 + 192*q**2 + 76*q = 0. Calculate q.\nAnswer: -38, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 greater than or equal to 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*u + 186 + 98 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-1\/27)*t)**(-7)\/(t**11*t*t**(-12)\/t))**(2\/23) assuming t is positive.\nAnswer: t**(-1066\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (-9 + 22) - -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 6*h**3 + 0*h - 3\/5*h**5 + 38 + 0*h**2 + 0*h**4. Find the third derivative of b(u) wrt u.\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 y when three letters picked without replacement from wwuywyuuuuuuwywyuuu?\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -8. Let c(w) = 119*w**2 + 54. Calculate -c(i) - 6*k(i).\nAnswer: -119*i**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -26\/3 (b) -5 (c) 45 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0897 + 2.2137. Let u = i + -1.145. Round u to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/5)\/(2 + 232\/(-100)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1252*x**2 + 1 - 290*x**2 + 187*x**2)*(-10*x - 3*x - 22*x).\nAnswer: -40215*x**3 - 35*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-25)*(150\/(-9))\/(-10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*2 - sqrt(143))*-3)\/sqrt(11).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83998.\nAnswer: 2, 41999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 3)*(-81)\/6. What is the highest common divisor of u and 414?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -66631195 and 0.0703.\nAnswer: -66631194.9297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 595741163?\nAnswer: 257, 2318059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(2\/(-4)*1). Suppose -4*q - 7 = -5*f + 23, 23 = 4*f - 3*q. Solve -j + f*j - u = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-810)\/(-2430)*(-21)\/2)\/(-7)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81909.13g to milligrams.\nAnswer: 81909130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**2\/4 + 295*n + 17405 = 0 for n.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 27. Suppose 0 = 17*j + 41 - 772. Let y be t(j). Solve -p + y = 3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 10:44 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/12 - 1)*-10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**4 + 956*z**3 - 66*z**2 - z + 31. Let r(l) = 2*l**4 - l**3 - 32*l**2 + 1. Let u(k) = d(k) - 2*r(k). What is the second derivative of u(v) wrt v?\nAnswer: -12*v**2 + 5748*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -273051 (base 9) to base 11\nAnswer: -103a04","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - b = -100112 - 50490, -4*g = -3*b - 301194. What is g rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 4670.7?\nAnswer: -4674.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10 from -873890.\nAnswer: -873880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7651 take away 0.01238331187?\nAnswer: 7650.98761668813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5977 and 94.\nAnswer: 561838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -376.5225 - -376. Let s = -77.8475 + y. Let v = 79 + s. Round v to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88304631.\nAnswer: 3, 29434877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23*f**2 - 17*f**2 + 1965*f - 25*f**2 + 95*f**2 + 9700 - 25*f**2.\nAnswer: 5*(f + 5)*(f + 388)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2029936 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1988.5526736 - -4\nAnswer: -1984.5526736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 1:16 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006837126967 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 230854, 230867, 230870, 230863, 230846, 230819, 230782?\nAnswer: 230735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 1 - (-34 + -15 - -71).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -5*a + 17, -52*d + 50*d = a - 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(3 - 10\/4)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 29*j**5\/10 + j**3\/6 + j**2 - j + 14. Find the second derivative of h(l) wrt l.\nAnswer: 348*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1922, -2, 7 in ascending order.\nAnswer: -1922, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 1 - x**3 - 13*x**2 + 13*x**2.\nAnswer: -3*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2\/15, -3, 0.4, 10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 - 8*j - 6. Let i(z) = 0*z + 3*z**2 + 4*z - 20*z**3 + 19*z**3 - 2*z. Let c be i(3). What are the prime factors of d(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 - -52. Suppose -2*b = k - 50, l*k + 3*k - 159 = -3*b. Calculate the lowest common multiple of 4 and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132393044?\nAnswer: 2, 7, 43, 109961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4053 + 2*i**2 - 4053 - 1491*i + 544*i to s*i**2 + f*i + w and give f.\nAnswer: -947","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (0 - 9) + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 731101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 187461\nAnswer: -187461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1304, 1307, 1310?\n\"Answer: 3*u + 1301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*i**2 + i + 772*i**3 - 43*i**2 + 1221*i**3.\nAnswer: 1993*i**3 + i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k - 8*k - 8 = 5*z, -4*z = -k + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-14) - 75\/(-7). Suppose n - 3 = 4*q. Suppose 6*r + 2*r**4 - 6*r**3 - 3*r**2 + 2*r**2 + 3*r**q - 4 + 0*r**2 = 0. Calculate r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/180 and 103\/60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4832832 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 + 36*u - 363. Give w(13).\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 141161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 206 + -210. Let d(g) = -g**3 - 3*g**2 + 3*g + 2. Calculate d(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, -162, -5, -0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/14 + 9\/(63\/(-4)). Let z(u) = u**2 - 3*u + 1. Let m be z(-5). Suppose o - m = -b*o. What are the prime factors of o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 205637?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 5:26 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1560450 and 0.4.\nAnswer: 624180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 208235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - w**2 + w + 1. Let x(v) = -39*v**3 + 5*v**2 - 30*v - 5. Let u(y) = 5*h(y) + x(y). Find the second derivative of u(k) wrt k.\nAnswer: -204*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006251 to 7 dps.\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -179.4 + 166. Let d = -12.4 - l. Which is the closest to d? (a) 1 (b) 0.53 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 4*z**2 - 4*z + 3. Let n be b(2). Suppose -1 = -a - n. Is -2\/5 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 - 7*j**2 - 13*j + 7. Let m be o(7). Let d = m + -182. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5808)\/(-56))\/(-3)*(4557\/868)\/((-3)\/2)?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7, -19\/4, -0.3 in descending order.\nAnswer: 1.7, -0.3, -19\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.52 and 35116499.\nAnswer: 35116499.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -54\/11*d**2 - 338\/11 - 2\/11*d**3 - 390\/11*d = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 21*h**2 - 293*h - 8679. Calculate s(-24).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((y*y*y**(-9))\/y)\/y)\/y)\/(y*(y**(-4)*y)\/y))**(-9\/2))**45)**34 assuming y is positive.\nAnswer: y**48195","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-45)\/(-24) + 3\/24. Suppose n*m + 5 = 11. Suppose -m*j - j + d + 768 = 0, 5*j - 5*d - 975 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 3*t**2 + 5*t + 3. Let n be g(4). Suppose -4*o + n + 1 = 0. Solve -3*c**4 + 10*c**3 + 2*c - c**3 + c - 15*c**o + 6*c**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/4 of a day?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 + 60. Let o = 13 - 16.5. Let w = 4 + o. What is the smallest value in -0.2, v, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (4 - 3) - 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 5*l + 45, -6*h - 3*l = -2*h - 35. List the prime factors of ((-46)\/h)\/((-4)\/16).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + ((-14991900)\/(-4980))\/59?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.36739504 + -11.62891976. Let r = -3.9963064 - o. Let v = -8 + r. What is v rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11885 = 3*i + 3518. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 20536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 10. Suppose 6*d - 18 = b*d. Calculate the least common multiple of 11 and d.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1. Let i(h) = -7*h. Determine -i(r) - 4*q(r).\nAnswer: 7*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 60\/(-450) + 1\/(30\/64). Let s(c) = -850*c**2 + 11 - 8 + 852*c**y - 4*c**3. Let z(u) = -u**3 + u**2 - 1. Give -s(b) + 2*z(b).\nAnswer: 2*b**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 k, and 2 l when four letters picked without replacement from {z: 1, k: 1, r: 3, l: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -4879681*n**7\/1155 + 207646*n**6\/55 - 79524*n**5\/55 + 3384*n**4\/11 - 432*n**3\/11 + 1468*n**2. Factor l(o).\nAnswer: -2*(47*o - 6)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/20 - 17\/60. What is the closest to -1\/2 in 0.2, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6a7 (base 16) to base 8\nAnswer: 3247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2334649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 3*h - 3. Let y be o(3). Suppose 3*r - 158 = -173. Let x be 1 - ((-2)\/1 - -3). What is the nearest to x in y, -1\/2, r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -4. Let o(s) = s**2 + 0*s**2 + 2*s - 4 - 7*s. What is the remainder when o(z) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(20)\/sqrt(4)) - (sqrt(539) + 1)**2) + (sqrt(176) - sqrt(176)*1 - sqrt(176))*-1.\nAnswer: -540 - 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7589665?\nAnswer: 5, 1517933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3493 + 8.3523. Let m = 8 - 0. Let a = p - m. What is a rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 - -60 - (7 - 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12903800*-0.3\nAnswer: 3871140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*m - 1182 + 280 = 19*m + 1030 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519345 is divided by 3582?\nAnswer: 3537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 5*j + 640 - 631, -2*j - 6 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 20 - 12*v - 2 + 0*v + 0*v + 11*v.\nAnswer: -v + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97847 is divided by 135?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 0.8755.\nAnswer: 1.751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -98*t**2 + 368*t + 110. Give o(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -10. Let n(p) = p**2 + 2*p - 3. Let h be n(m). Let x(k) = k**3 + 1. Calculate x(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 173683563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 97.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 1 - (-48)\/21. Factor -6\/7*g**2 + c*g**3 - 2\/7 + 6\/7*g.\nAnswer: 2*(g - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3624819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 + 0.3. Let m = 307 - 310. Which is the second smallest value? (a) -12 (b) d (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15536107495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1676, 2320, 2964, 3608, 4252?\nAnswer: 4896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -778136 times -4?\nAnswer: 3112544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*f = 1, 0 = 5*f - 33 + 8. Suppose -i - r = -3*i. Solve 0 = i*w + s - 0*s - 3, 2*s = -2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**4 + 6*g**2 + 0*g**2 - 156*g + 1 + 283*g - 153*g to the form h*g**2 + s*g**3 + n*g + t*g**4 + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 11*j**2 - 5*j - 44. Let x be b(10). Let d(c) = -1 - 3 + x - 18*c - 3. Determine d(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -139.35 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zsfffzzz. What is prob of sequence zfz?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 12*p**2 - 21*p - 7. What is the remainder when k(-4) is divided by 47?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, z: 4}. What is prob of picking 1 z and 2 t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 264900737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 4)*(-15*j - 11*j + 15*j)*(-15*j + 17*j - 12*j).\nAnswer: -110*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7652, 11119, 14596, 18089, 21604?\n\"Answer: n**3 - n**2 + 3463*n + 4189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6.85 in 465, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eaeeeeee. Give prob of sequence eeee.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1700920478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3635967449?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/8))**(-3\/11) assuming z is positive.\nAnswer: z**(-3\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -96.76 and -5.815?\nAnswer: 562.6594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2.6. Let v = 10 - 12. What is the nearest to v in -1\/2, y, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 119.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/3945640 and -23\/88.\nAnswer: 43402040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by ((-48)\/(-9))\/((-5)\/(7 + -37))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 4)*((k + 5*k - 4*k)*(-43 - 35 + 81) - 4*k + 2 + 3*k - k) to the form j*k + g and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1011001100111110001110?\nAnswer: 1011001100111110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3208)\/(-3) - (-2)\/3. Let b be ((-27)\/(-108))\/((-2)\/40). Is (g\/b - -3)*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 36*j - j - 530910. Does 121 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 20 - (-28 + 12 + 12) - -8.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 89532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5715, -705, -4 in increasing order.\nAnswer: -5715, -705, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 10:07 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4032, 4 in descending order.\nAnswer: 4, -2, -4032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*i + 24*i - 184 = 0. Let o = 25 + i. Suppose -81 = -o*m - 31. Solve -8*q + 3*q = -m for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (709 + 0)*(-9 - 154\/(-14)).\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 56? (a) 0.3 (b) 0.1 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6735162 is divided by 21518?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 7:36 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 = 5*k - 8*k, -2*k = -u + 12. Suppose 6200 = 107*m + 2065 - 5281. Calculate the smallest common multiple of u and m.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/(-12))\/(8\/(42 + 6)). Let r(p) = p - 11. Determine r(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -660875257, -660875258, -660875259?\n\"Answer: -v - 660875256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 4, -2\/5, 194, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 130729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2 + 62. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106092 (base 11) in base 8?\nAnswer: 7316333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2663 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffecfyzcyyf. What is prob of sequence fff?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + 4*q + 11. Let s(t) = 4*t**2 + 8*t + 19. Suppose 2*k - 20 = 5*h + 18, 3*k + 18 = -5*h. Let i(u) = h*s(u) + 10*x(u). Factor i(d).\nAnswer: -4*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(32\/8))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 5*l + 2815. Suppose 6*x = 9*x. Let n be (x - (-3 + l))*125. What is n rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 11*s**2 - 12*s - 1. Suppose x + 30 = -2*x. List the prime factors of l(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.13 - -0.29. Let r = b + -33.42. Let d = -32.9968 - r. Round d to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 4.1. Let r = 11 - 16. Let q = -37\/36 + 16\/9. Put d, q, r in decreasing order.\nAnswer: q, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaaaaarraraaaa. Give prob of sequence ra.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 733336069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = a - 2*i, 60 = -2*a + 3*a - 5*i. Calculate the highest common factor of a and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1366 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/6 of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l = -5*c + 37, -4*c = l - 34. Suppose 5*y = -5*p + 20, -3*p = -4*y - 0*p + c. Let f = -41 - -43. Sort f, 4, y in decreasing order.\nAnswer: 4, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -4*v**2 + 0*v - 1\/15*v**5 - 1\/30*v**6 + 0*v**4 + 0 + 0*v**3. What is the third derivative of p(r) wrt r?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 - 6 = -3*q - 5*t, -q + 5*t + 20 = 0. Let h = -2 + -1. Let i be 12\/(-5) + (-6)\/h. What is the closest to i in q, -0.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4630267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 66*v**2 + 5*v + 4. What is z(-1)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x. Let z(b) = 8*b - 11. Let r(s) = -2*s + 3. Let v(w) = 22*r(w) + 6*z(w). Determine d(v(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 116\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21177372 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 45.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o**2 + 4*o**2 + o**3)*(0 - 2 + 0) + (-2*o**2 + o**2 + 2*o**2)*(70173 + 1255*o - 70173) to the form f*o + b*o**3 + m*o**2 + u and give b.\nAnswer: 1253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -51040, -51040, -51042, -51046?\n\"Answer: -z**2 + 3*z - 51042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/11 + 6*p**2\/11 + 18*p\/11 + 10\/11.\nAnswer: -2*(p - 5)*(p + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 143530371 a multiple of 3735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*t - 274*t - 466*t - 37170 = 0 for t.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 1 - 1 + 2166*a**2 - 2170*a**2 + a**3 + 4*a. Calculate h(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 87*l**3\/2 - 275*l**2 + 3*l - 89. What is the first derivative of s(t) wrt t?\nAnswer: 261","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 + 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34584 - 4?\nAnswer: 34580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**3 - 38*i**2 - 6*i + 114. Let p(m) = -3*m**3 + 35*m**2 + 6*m - 113. Let z(c) = -6*p(c) - 5*q(c). Factor z(u).\nAnswer: -2*(u - 2)*(u + 3)*(u + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 102.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p. Let j(f) be the first derivative of 5*f + 0*f**2 + 7 + 1\/2*f**4 + 0*f**3. Let y(v) be the first derivative of j(v). What is y(m(o))?\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5504 and 112192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-39)\/(-9) - 1\/3. Suppose v + 2*c - 3 = j, -2*v = 5*c - 17. Suppose v = 5*f - 4*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**30\/k**(-19))\/(k*k*k**40*k\/(k\/(k**25\/k))))**(1\/24) assuming k is positive.\nAnswer: k**(-17\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 - (-6 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26.01 + -40.8. What is n rounded to 0 dps?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 475 (b) -1\/661 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1557*q + 0 + 9 + 1549*q - 6.\nAnswer: -8*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -2*f**3\/3 + f**2 + 59. Give v(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*b**2*v**3 + 3*b**2*v**2 + 2*b*v**3 - 55*v**3 wrt b.\nAnswer: 12*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85158 and 1550?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -78\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3778069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) 8\/7 (b) -67 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-14 - -19 - -22) + -119?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53 and 187827018?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7562788*z**4 + 152*z**2 + 116*z + 17 wrt z.\nAnswer: 181506912*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q = -8, -5*q = -3*t + 520. Let b be (-204)\/(-8) + (5\/(-2) - -3). What are the prime factors of 4\/b + t\/13?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/9493 in -0.4, -2, 67, 3\/7, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2)\/i**(-5))**(-27\/4)\/((i\/i**(-1\/3))**3\/((i**(3\/4)*i*i)\/(i\/i**(3\/7)))) assuming i is positive.\nAnswer: i**(-1803\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -712 + 168?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, g: 6}. Give prob of picking 2 g and 1 p.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420 a factor of 15577930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 0*n. Solve -2*i = -n*i - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a. Let g(w) = 24534*w**2 + 24771*w**2 - 49953*w**2. Give y(g(l)).\nAnswer: -1944*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - 460579?\nAnswer: -460570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*j + 37*j. Solve -5*k + f = 4, 4*k = 5*f - j + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = j + 73. Let c = j - -74. Let s(v) = -3369*v**3 - 5*v**2 + 7*v - 13. Let d be s(c). What is d rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*-81.\nAnswer: 1782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -7d?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.7999995 + 1.8. Round o to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 423646.\nAnswer: -14\/211823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(3*sqrt(8)\/sqrt(4)))\/(sqrt(28)\/(2*sqrt(7)*-5)).\nAnswer: -10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2069264158 + 28\nAnswer: 2069264186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/4? (a) -3 (b) -1 (c) 14.6 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 127562818 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -176 - -180. Which is the second smallest value? (a) 0 (b) 1\/11 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.18 and 137.\nAnswer: -24.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**3 - 28*p**2 - 11*p - 20. Suppose -128*y = -42*y + 774. Give w(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = c - 2*d, 0 = 6*c - 2*c - 5*d - 108. Solve -5*i + c + 3 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*k**2 + 19 + 76*k**2 - 303*k**2 - 19.\nAnswer: -44*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44*n + 7*n**2 + 44*n)*(-3 + 13 + 19) in the form d*n + y + z*n**2 and give z.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**4\/8 - 19*m**3\/2 + 1083*m**2\/4 + 69*m + 9. Let q(g) be the first derivative of k(g). Let q(v) = 0. Calculate v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 27. Calculate the remainder when 74 is divided by c(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19193\/10 - -1921. Let a = -1522 - 1041. Let p = 10313\/4 + a. What is the common denominator of d and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 95 = -5*l, 2*j - 3*l = -j - 45. Let n = j + 21. Suppose -4*i - 212 = -n*a, 4*a + 2*i = -i + 191. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20311200000 + -32?\nAnswer: 20311133302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -52*y**3 - 12. Let h(z) = -8*z**2 + 14*z + 6. Let u be h(2). Let r(i) = -21*i**3 - 4298*i**u - 5 + 4298*i**2. Give -12*r(k) + 5*s(k).\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3 + 9 = 0. Let p = 11\/3 - t. Factor 0 - p*q + 2*q**2.\nAnswer: 2*q*(3*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/((-2)\/(-13) + 338865\/(-2062944)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 1 - (-1 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20*(-12)\/(-56) - (-8)\/(-28). Suppose 186 = i*g - 23*p + 26*p, 3*g - 5*p = 154. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a = -2*m + 12, 0 = 4*m + a - 21. Suppose -m*x = 2*w - 0*w - 35, 0 = 4*w + 3*x - 35. Let t be 25\/w*(-8)\/(-10). Solve -t*p - 9 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -21*w + 54. What is r(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*i - 17 + 17 + i - 3*i + 3*i + (2*i - i + i)*(1 + 4 - 7) in the form h + c*i and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27380*x - 1540 = -27303*x for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36099 = -6417*v - 262835 - 62029 for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - 24. Let j = 29 - b. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r + r + 2 + 1 - 2*r. Let q(m) be the first derivative of -m**4\/4 - 3*m**2 - 17*m - 561. Calculate 6*q(o) + 34*t(o).\nAnswer: -6*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 832\/9 - 128\/3*y + 2\/9*y**3 + 4*y**2 = 0.\nAnswer: -26, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-195)\/(-60) - 2\/8. Suppose -7*f + 260 = -q*f. What are the prime factors of f?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/2965080 and -65\/16?\nAnswer: 5930160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d + 9. Let b be s(-4). Is (-4)\/b + (-2403)\/(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 61, 105, 135, 145, 129, 81, -5, -135?\n\"Answer: -q**3 - q**2 + 54*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*r + 23, -2*o - 14 = 601*r - 602*r. Suppose -2*n + 0*n = -32. Calculate the highest common factor of n and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7366*f + 2510. What is the hundreds digit of d(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**4 - 2*r**4 + 17*r**4)*(-2*r + r - 6*r).\nAnswer: -147*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 - 17.4. Let d = s - -16.8. What is the closest to 1 in d, -3, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(3))\/sqrt(2) + -1.\nAnswer: -1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12037 + -5943. Is n a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -6, -3\/4, 0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -4, -41, 17 in descending order.\nAnswer: 17, 4, -1, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19.312 + -36.665. Let f = c + -7.6678. Let q = f + 25. Round q to three decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*q + 50*q = 261. Solve -j = -5*d, q*j + 0 = 3*d - 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5503 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 559694 + 3*f**2 + 3800941 - f**2 + 3065582.\nAnswer: 2*f**2 + 7426217","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 21 = -5*p, 2*p + 3 = -2*u + 5*p. Let m be (-4)\/(8\/21)*2. Let x be (-4 - -3)\/(m\/6). Which is the biggest value? (a) 5 (b) u (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 12:20 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -7045\/8 smaller than 2.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19\/2 or -18?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 70.28614 years?\nAnswer: 7.028614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3307 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-10*72\/(-2475)*(-70)\/14?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 - n**3 + 3*n**3)*(-12*n**2 + 18*n**2 - 63*n**2) - 13*n**5 + 9*n**5 - 18*n**5.\nAnswer: -79*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((11\/((-44)\/8))\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 568460 times -1?\nAnswer: -568460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (15 - 5)) + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 3 + 9. Suppose -8 = 2*u - u + l*b, -3*u = -3*b - 36. What is the lowest common multiple of (2 - 6\/5)*10 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -7. Suppose -s = n - 6. Suppose 0 = n*h - h - 18. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 10, w: 2}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 8*u**2 + 10*u + 11. Give j(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 48 + 1548?\nAnswer: 1607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -3\/270842632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 11) to base 2\nAnswer: 110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.844521 micrograms in milligrams?\nAnswer: 0.008844521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365189.\nAnswer: 11, 33199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13013211131 (base 4) in base 10?\nAnswer: 1866077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 10:12 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmk when three letters picked without replacement from bkvkkkkmk.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.6 minus 25?\nAnswer: -33.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*u + 416*u + 91*u**2 - 225*u.\nAnswer: 91*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/10*(-544 - -124). Put -8, o, 5 in descending order.\nAnswer: 5, -8, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1743*y = 2825 + 661 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 620028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.7, -0.17, 5, 2, -0.1, -3 in ascending order.\nAnswer: -3, -0.17, -0.1, 0.7, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100 - -112123?\nAnswer: 112223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*g - 213 - 88 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -443212 - 0?\nAnswer: -443212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1611, -1602, -1587, -1566, -1539, -1506?\nAnswer: -1467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 160 = -5*t. Suppose -l = -4*x + 75, -4*l + 15 = -l. Calculate the greatest common divisor of x and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(637))**2*-3*-5.\nAnswer: 9555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -2, -1 in ascending order.\nAnswer: -2, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13023512 by 19.\nAnswer: -685448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-18)\/c**(1\/23)*c*c\/(c*c*c**(-4\/9))*c**2 assuming c is positive.\nAnswer: c**(-3229\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*q + 68520, -494*v - 5*q - 17130 = -495*v. List the prime factors of v.\nAnswer: 2, 3, 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187282009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-96)\/27)*(-52)\/39?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34752452 divided by 7.\nAnswer: 4964636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -8. Let m(o) = o**3 - 8*o**2 + 132*o - 583. Let a be m(5). Suppose -3 = 5*k + 2. Put p, a, k in decreasing order.\nAnswer: p, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 5 - -6 - 4. Which is the closest to x? (a) 0.1 (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 3:58 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 10*w - 4. Let j(k) = 9*k - 5. What is 6*j(g) - 5*z(g)?\nAnswer: 4*g - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*t + 229 = -63 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*d + f, -d - 5*f + 2 + 20 = 0. Let g be (-2)\/d*(-7)\/((-28)\/15). Sort 7, -0.2, g, 3.\nAnswer: -0.2, g, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 7. What is the closest to t in 3, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 27 = -4*v - 33, 0 = -2*y + 2*v + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136393813?\nAnswer: 479, 284747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-21)*(0 + 2)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b - 81. Let x be d(-29). What is the third derivative of -10*u + 9*u - u**4 + 22*u**6 - x*u**2 + 2*u**2 + 7*u wrt u?\nAnswer: 2640*u**3 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 852616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 11*i - 10. Let c be g(-9). Suppose -4*t - 28 = -c*t. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668 (base 9) in base 14?\nAnswer: 2b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 0*k**6 + 0*k**2 + 0*k + 0*k**5 + 0*k**4 - 16*k**3 - 24\/7*k**7 + 11. Find the third derivative of q(a) wrt a.\nAnswer: -2880*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 3:13 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 866907.3kg to grams.\nAnswer: 866907300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 6. Suppose 5011 - 15808 = -183*v. Find the third derivative of -64*i**3 - 4*i**4 + a*i**4 + i**2 + v*i**3 wrt i.\nAnswer: 24*i - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -34. Suppose -4*i + 3*r = -1207854 + 5449029, j*r = 4. Let k = i + -3139707. What is k rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 9*l**2 + l + 11. Let p be f(-9). Suppose -3*b + 3 = 0, -p*w - 3*w + 101 = b. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*d = -50*d + 16431499. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (266\/49)\/((-30)\/28) and 13\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*l - 100 = 0, 42 - 286 = -5*g - 4*l. Let a = 46 - g. Let o = -70 + 631\/9. What is the second biggest value in -1\/5, a, o?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Suppose 4 + 2 = m*f. Solve -k = -t + 4, t + f*k = -4*t + 28 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -7 + 65 + -76.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 975123.7m to kilometers.\nAnswer: 975.1237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.9756 at most as big as 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 70\/(-4)*16\/(-10). Let v = 7 - b. Let s = v - -38. Calculate the remainder when 65 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - d - 7, 42 = -41*s + 43*s + 4*d + 84 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 442842934 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 6\/7 (b) -2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 12*q**2 - 11*q + 10. Let f be p(-11). Let o = -5 + f. Put -5, o, -3 in descending order.\nAnswer: o, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-66))\/(240\/88)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 85 - 71. Suppose -3*z - 240 = -b*s - 2*z, 3*z = -2*s + 248. Sort 4, 0, s in ascending order.\nAnswer: 0, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118103228 to the power of 1\/2, to the nearest integer?\nAnswer: 10868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 32 = -4*s. Let b be (-1 - -1)\/(-1 + 2). Suppose 4*c - 36 = -b. What is the remainder when s is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -4*l - 156. Suppose -87 = -5*x - 4*r, 3*x - 2*r - l = 9. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -61.55213 and -5.\nAnswer: 307.76065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - ((-8)\/(-4) - (1 + -1)). Suppose -30 = 2*w + 3*a, -23 = k*w + 2*a + 9. Is 26 a factor of (-932)\/w - (-46)\/207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 9:48 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -46*d**3\/3 - 17*d**2 + 402*d + 1869. Find the first derivative of k(u) wrt u.\nAnswer: -92*u - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2649825*q + 2649765*q + 5344 + 56 for q.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/6 of a millennium?\nAnswer: 46000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -44 (c) -1 (d) -8 (e) 1.1 (f) -4\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.11064 (b) -9 (c) -157\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16551909.\nAnswer: 3, 11, 167191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204476 is divided by 116?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 20 = 0, -2*k = -3*s + 3*k - 11. Solve y**4 + y**2 + 0*y**3 - 3*y**s + y**3 = 0 for y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cah when three letters picked without replacement from {h: 3, a: 3, c: 3, j: 1}.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1275693085?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n. Let h(l) = 12*l**2. Determine h(s(j)).\nAnswer: 432*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -458710*o**2. Let n(s) = -s. What is b(n(j))?\nAnswer: -458710*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.31 + -0.01. Let t = 1051 - 18935\/18. Let j = t - -4\/9. Which is the biggest value? (a) k (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fs when two letters picked without replacement from sstfsspseett?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7540 plus -0.2?\nAnswer: 7539.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3 + 14*b - 5 + 5.\nAnswer: 14*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3423910 - 7036090. Round h to the nearest 100000.\nAnswer: -10500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4646*w - 4632*w - 448. What is the lowest common multiple of -6*(-3 - 2\/(-2)) and w?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-3*(1 + (sqrt(1088) - (-3*(sqrt(1088) + 0) - sqrt(1088))))**2*-4.\nAnswer: -1305648 - 3840*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**3*r**2 + 9*q**3*r - 278*q**2*r**3 - 9*q**2*r - q*r - 8*r**3 - 4 wrt r.\nAnswer: 4*q**3 - 1668*q**2*r - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110000000 + 10?\nAnswer: 10110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 252\/196*7\/(-1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 23 = -o, 5*c - 2*c = -4*o + 138. Calculate the greatest common divisor of o and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65401.\nAnswer: 7, 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2671\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -597 + 105 = -3*i. Let w = -99 + i. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/19)*p**(-3)\/p)\/(((p\/p**(1\/3))\/p*p)\/p**(11\/3)) assuming p is positive.\nAnswer: p**(-17\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 3:40 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/((z*z*z**(13\/4))\/z)*z*z**15\/z)\/((z\/(z*(z\/z**25*z)\/z)*z*z)\/z*z**(-1\/41)\/z) assuming z is positive.\nAnswer: z**(-1841\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.5 - 52.5. Let c = d - -56. What is the biggest value in c, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291258.\nAnswer: 2, 3, 11, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8067 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k - 4*k - 2*k + (-1 + 4 - 1)*(2*k + 4 - 4))*(4 - 4 + 2)*(-2 + 4 - 3)*(-3 + 4 + 0) to f*k + v and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 83\/5, -3, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -t - 4*q - 17, q + 14 = 3*t. Suppose 5 - t = c. Suppose a - 258 = -c*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -11 + (-19 - -25) + (-2 - -15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 83 = x, -x + 4*o + 69 = -38. What is the remainder when x is divided by 80?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04402442 to five dps.\nAnswer: -0.04402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 11*f**2 + 2*f - 11. Calculate n(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 578346.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -696 + 290. Let o = j - -657. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7288.5043 rounded to the nearest integer?\nAnswer: -7289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92493 is divided by 571.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 7 + 6. Let h be (-1 + l - 1)*-4. Suppose 3*b = -b + h. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + i. Let j be g(1). Let t(r) = 2*r**2 - 4*r + 4*r + r**j. Let k(p) = p. Calculate k(t(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 189 - (-32 + 94 + 88).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0.1, -7 in descending order.\nAnswer: 13, 0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (a**2 - a**2 - a**3 + (a - 2*a - a)*(5*a**2 - 2*a**2 - 4*a**2) + 2*a**3 + 32*a - 32*a)*(2 + 2 + 0) in the form p*a + x + c*a**2 + k*a**3 and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 - -136*(-8)\/(-32)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 15*t - 93*t + 76*t. Let l(s) = 3*s**2. Determine f(l(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 242 - -71. Let f = 466 - n. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 5*n - 8. Let y be (-2)\/(-5)*(8 + 2). Let q = y - n. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5934745*d**3 - 450395*d**2 + 6*d + 1.\nAnswer: -35608470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1061.21 + 441.95. What is k rounded to the nearest 10?\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.99999846 + 7. Round t to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 - 396*z - 5002. Calculate m(144).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a factor of 11012595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 470.8593 nanoseconds in hours?\nAnswer: 0.00000000013079425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -556\/519, 1\/6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**2\/7 - 12176*c\/7 + 9265936\/7 = 0. Calculate c.\nAnswer: 1522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/34439 and 43\/7.\nAnswer: 241073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7582 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 320232213213 (base 4) in base 2?\nAnswer: 111000101110100111100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1184 divide 56550208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33102003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16 + cb6?\nAnswer: ca0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 893 = 4*f, -4*f + 7*f - 3*h - 681 = 0. Calculate the greatest common factor of f and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297699539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*o**2 + 4*o**2 + 7*o**2)*(17*o - 66*o + 28*o).\nAnswer: -420*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 19*m**2 - 13*m**2 - 8*m**2. Let d(o) = -5*o**2 + 3. What is d(q(u))?\nAnswer: -20*u**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.147 + 1.187. What is y rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*n + 824 = 4*g, 5*n - g = 2104. Is n a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14300 and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 - 2*i**3 + 2*i**3 + (-13*i - 1153 + 1153)*(-i**4 + 2*i**4 + 4*i**4).\nAnswer: -64*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by -223.\nAnswer: 27\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(1210) + sqrt(10) + (sqrt(10) - sqrt(250)*1)))\/(-1*-3*sqrt(288)*-1).\nAnswer: -14*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-1) - -3 - -1. Suppose -3*w - w = 2*d - 22, -a*d - 2*w = -20. Let o = 5796 - 5794. Solve d*x = o*x + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 41805?\nAnswer: 41805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 20, -7*s - 3*t = -2*s - 3. Suppose j - 5 + 3 = 0. Let 1 + 0*n + 2*n - s*n**j + 4*n**2 = 0. Calculate n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -27, -67, -121, -189, -271, -367?\n\"Answer: -7*g**2 - 19*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 plus 807556.6?\nAnswer: 807540.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 0*b**4 + 1\/3*b**5 + 13*b**2 + 0 - 3*b**3 + 0*b. What is the derivative of i(o) wrt o?\nAnswer: 40*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 884\/(-51) + (50 - 35)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3.6, 1\/4, 2, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -575694 + 575656 = -19*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**5\/9 + 650*g**4\/9 - 1478*g**3\/3 - 5738*g**2\/9 + 4436*g\/9 + 1696\/3 = 0.\nAnswer: -1, 1, 8, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/10 and 7\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8 and 156.5?\nAnswer: 148.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18471731791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-10 - -7 - -18)\/(1\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3502305 divided by -3\nAnswer: -1167435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 88?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1966 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2120 or 2132?\nAnswer: 2120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 7*k + 11. Let z be p(-6). Solve -2*l + z = -1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 10*f + 4. Let v be t(15). Let u = -67 - v. Suppose u*j - 608 = 2084. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6438 + 872 = -46*s. Calculate the remainder when s is divided by 57.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36.882 * -0.3.\nAnswer: -11.0646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 22*k**2 - k - 2*k**3 + 2*k**4 + k + 23*k**2 to f*k**3 + d*k**4 + m*k + z + g*k**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 0.4 (c) 50 (d) 0.3 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-18))\/((-1)\/1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 3 + 33. Suppose -20*l + 15*l - 15 = 0. Let g be ((-16)\/m)\/(1\/l). Calculate the highest common factor of g and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - q, 3*y - 5*q = y + 21. Suppose y*a - 264 = 6*a. Let b = a + 155. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3123446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -42. Calculate the remainder when q is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1196224 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 121cc (base 15) to base 6\nAnswer: 1123320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**(14\/5)*w)\/w*w*w)**(-35)*(w*w**30\/w*w)**45 assuming w is positive.\nAnswer: w**1192","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 5*t**2 + 6*t + 4. Let a be x(-7). Let v = -28 + a. Calculate the greatest common divisor of v and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*t + 509 = 583*t - 442 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16391098 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.663418 months to decades.\nAnswer: 0.07219515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/5 + 54*o**2 - 5235*o + 24750.\nAnswer: 3*(o - 55)*(o - 5)*(o + 150)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 12. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 316*n + 27 - 278*n - 40 in the form i + l*n and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.16287*2913\nAnswer: -474.44031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4390, 4387, 4390, 4405, 4438, 4495, 4582?\n\"Answer: p**3 - 3*p**2 - p + 4393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 9891*u + 630. Let x(j) = 63*j + 4. Let a(v) = 2*w(v) - 315*x(v). Let t(b) = 2*b. Calculate t(a(f)).\nAnswer: -126*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3793 is divided by 130.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**4 + 66*z**2 - 47*z - 3*z**3 - 30*z**2 - 25*z - 35*z**2 + 2 + z in the form i*z + j + t*z**2 + h*z**4 + s*z**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 24*m**2 + 14*m - 318. Give c(24).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -890*n + 885*n + 4*x + 16238, 2*n + 5*x - 6515 = 0. What is the greatest common factor of 50 and n?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*q - 15, 7*q - 25 = -5*b + 2*q. What is the units digit of 96 - (33\/33)\/(1\/b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 4 + 3)*(129 - 129 - 12*a) to the form t + x*a and give x.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2846136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -21*f**5 + 13*f**2 - 31*f - 13. Let g(j) = 10*j**5 - 6*j**2 + 15*j + 6. Let l(c) = -13*g(c) - 6*r(c). What is the second derivative of l(o) wrt o?\nAnswer: -80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3942*j + 2471 + 4631 = -1868*j - 1940*j for j.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 21 = -10*z. What is the tens digit of (z\/4)\/(10\/40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 - 4 = 0. Suppose -p*n - 2*n + 52 = 0. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.3 + -6.7. What is the nearest to a in -3, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**4\/12 + v**3 + 663*v**2. Determine z(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**8\/48 + 11*k**4\/24 + 13*k**2. What is the second derivative of y(d) wrt d?\nAnswer: -140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*6\/(-2 - -5). Solve -5*q = 3*b + 28, 2*b = z*q + q + 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 24*w**2 + 45*w.\nAnswer: 3*w*(w - 5)*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, z: 2, b: 2, n: 3, o: 5}. What is prob of picking 1 o and 1 c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135310, 270616, 405922, 541228, 676534?\nAnswer: 811840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 10 - 0. Suppose 0*d = -f*d. Put d, 3, -2 in decreasing order.\nAnswer: 3, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/7))**(-32))**(-16)\/((t*t*t**7\/t*t*t*t)\/(t*t\/t**(3\/4)*t)*t**(-1\/2)*t*t**5) assuming t is positive.\nAnswer: t**(-4495\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6*k - 12 = -3*k, 2*h - 4*k = 18. Let b be (-48)\/56*(-5)\/((-130)\/14). Is b less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(0 + 5\/15). Solve -5*m + 3*a + 3 = 0, s*a = -5*m + 2*m + 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4)*-1 - -1\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 45. Let u = q - 9. What is the lowest common multiple of 9 and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqhhqhq. Give prob of picking 1 q and 1 h.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6336 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -385 + 384.99999823. What is g rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24e + 19d?\nAnswer: 3eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 379106*j**4 + 5*j**2 + 39214*j - 8.\nAnswer: 4549272*j**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -35 - ((5 - 2) + -13 + -4)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 7. Suppose 0 = o + 1 + 2. Let n be z(o). Suppose 0*j = n*j + 10800. Round j to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 - 2 = 0. Suppose x - 16 = -i. Let m = x + -2. Calculate the greatest common factor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 15*w**2 + 64*w - 50. Let u be j(7). Solve 2 = -4*p - 115*i + 112*i, -u = 5*p + 2*i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onnl when four letters picked without replacement from {p: 4, l: 1, n: 2, v: 9, o: 3}.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-26) - 1 - (1670\/(-130) + 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + 3. Suppose 0 = a - 0*a + o. Calculate the common denominator of -47\/10 and (4\/a)\/(8\/(-86)).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14900, -29791, -44696, -59621, -74572, -89555, -104576?\nAnswer: -119641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (89\/(-22) - -4)\/(12\/(-48)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27203090?\nAnswer: 2, 5, 41, 43, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -0.1. Let q = z + -0.1. Let j = 10984 - 142794\/13. Which is the biggest value? (a) 0.2 (b) q (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30.7 - -31. What is the nearest to -2\/9 in -0.4, 1, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*c*w**3 + 4*c*w + 38*c + 2*w**5 wrt w.\nAnswer: 144*c*w + 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 17 - 111016*v + 317428*v.\nAnswer: 206412*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*l + 90. Let k be 1*-2*12\/(-4). Suppose -q - l = -k*q. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3053)\/71 - (-1191)\/27.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (-3)\/((-3)\/(-2)). Find the common denominator of (-11)\/(-22) + (-195)\/(-66) and (-2)\/b + (-75)\/14.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 4\/5, 3\/8, -707.1, 5, 3\/2 in descending order.\nAnswer: 5, 3\/2, 4\/5, 3\/8, -1\/4, -707.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48532*o - 24266*o - 13944*o**2 - 24266*o to the form z*o**2 + h*o + v and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 310\/3 + -106. Let v = -5\/12 - t. Factor -v*h + 0 + 3\/2*h**2 - 1\/4*h**3.\nAnswer: -h*(h - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 53*u**2 - 5214*u**3 - 3*u**4 + 2*u**4 + 475*u**2 + 5213*u**3 to p*u + h + q*u**4 + w*u**3 + r*u**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 741 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 15*h**4 - 4720*h**3 + 35255*h**2 + 15430*h - 24560 = 0?\nAnswer: -1, 2\/3, 8, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 32383117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -171*d**4*v**3 + 2*d**2*v**2 - 724*v**3 wrt d?\nAnswer: -4104*d*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96 - 91. Suppose 3380 + 875 = c*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 8*s**2 + s - 11. Let o be c(8). Is (-20)\/o + 2\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 10. Suppose 3*j - f*j = -1, -2*n + 4*j + 28 = 0. Let s(c) = c**3 + 5*c**2 - 2*c + 6. What is the remainder when s(-4) is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60.0999038 + -60.1. What is y rounded to six dps?\nAnswer: -0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -19 - -31 - -8 - (-14 + 1 + -1).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -56711002790.72.\nAnswer: -56711002792.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -25*g**2 - 5*g + 31. Let c(r) = 25*r**2 + 6*r - 32. Let k(t) = -5*c(t) - 6*i(t). Is k(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 6008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7611.484 milliseconds in microseconds?\nAnswer: 7611484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1226652 (base 7) to base 16\nAnswer: -26af6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27962 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125\/6 - 2\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 4*w + 0*w - 9*w + 8*w - 22 to n*w + c and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 70 = -5*s. Calculate the lowest common multiple of 29 and s.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 494 = -4*o - 4*z, 4*o = 2*z - 478. Let h = -1 - o. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27954588.\nAnswer: 2, 3, 2329549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*x + 17*x - 90*x)*(1 + 4 - 3)*(2 - 6 + 2).\nAnswer: 472*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 32937 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.254 + 3.254. Let t = 0 + -1. Let j = t - -0.5. Sort a, -2, j in descending order.\nAnswer: a, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -5971096?\nAnswer: -5971091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4*i + 72, -6*i + 4*i + 4*b + 36 = 0. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*z + 168 = 31*z. Let w be 142\/z + 6\/9 + 3. Let r = 0.4 + 0.6. Which is the nearest to r? (a) 5 (b) 20 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 15*j - 6. Let h(l) = 15*l - 7. Let p(f) = -5*b(f) + 4*h(f). Let i(m) = -m**3 - 7*m**2 - 7*m - 8. Let o be i(-6). Is p(o) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j - 4812*j**2 + 4807*j**2 - 4 + 107 + j in the form n*j + f*j**2 + a and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 102840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 593*f - 598*f + 10 = 0. Solve -5*s - 4*d = -2, -4 = d - f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 6*i - 17. Let t be k(-8). Let y be ((-1)\/(-3))\/(2\/6). Sort y, 4, t in descending order.\nAnswer: 4, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25595.18 to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -45248893 - 505038179. Suppose -6*f + 751533120 = -k. Suppose 49784148 = 4*h + f. What is h rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001530809 to 7 decimal places.\nAnswer: -0.0000153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1161735.733 rounded to the nearest 100?\nAnswer: -1161700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vww when three letters picked without replacement from wwwwwwwvvw?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004045 rounded to 5 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**4 + 2*h**4 + 5*h**4 + (h + h - h)*(3*h**3 - 5*h**3 + 0*h**3) - 2*h**3 + 3*h**4 + 2*h**3)*(h + 0*h + 0*h).\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72234843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -38*m**3 - m**2 + 4*m**3 + 4*m**2. Suppose 0 = t + f + 1, -3*f - 1 = 4*t. Let g be y(t). What is g rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/20*932\/157275?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/55313, 1, -3 in increasing order.\nAnswer: -3, 8\/55313, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 5*s - 145. Suppose 74 = 2*b - 2*l - l, s*l = 5*b - 185. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 5*v**2 - 6*v + 13. Let u be q(4). Suppose -u*k + k = -4036. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/(sqrt(4)*-1) - sqrt(8))\/(sqrt(36)*4).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 431, 431, 429, 425, 419?\n\"Answer: -w**2 + 3*w + 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 4*k + 1 + 20 = 0, -2*k - 3 = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 91, 176, 251, 310, 347, 356?\n\"Answer: -n**3 + n**2 + 89*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.3 and -1905502.\nAnswer: -1905503.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2683758 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, j: 5, i: 9, a: 1}. Give prob of picking 1 a and 1 n.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63600?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33992631 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 417405 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 229918623 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 436*c**3*w**3 + 248*c**2*w + 2*w**3 + w**2 wrt c.\nAnswer: 2616*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -v**2 + 18345*v - 13252?\nAnswer: -2*v + 18345","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1133867832*i + 969211324 wrt i.\nAnswer: -1133867832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/3)\/((-138720)\/(-14688)).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29376 is divided by 9678?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1.05 (b) 1\/5 (c) -1\/117 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-3 - 1) + 3 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/5 in 5, 0.59, 3, -58?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*d = 0, 13 - 3 = 5*n + 3*d. Suppose n*v - 24 = 21. Does 5 divide (60\/v)\/((-12)\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 233*v. Let z(h) = 115 - 1852*h - 115 + 1858*h. Calculate z(q(s)).\nAnswer: 1398*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 10:49 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -3, -188, 3 in descending order.\nAnswer: 3, 0, -3, -4, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-3)*-73)\/((-397)\/(-1191)). Suppose -x - 4*m - 162 = -3*x, -3*m - 3 = 0. Let f = c + x. Solve n = -f + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17218351633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 10:44 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7}. What is prob of picking 4 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvnflh. Give prob of sequence nlfz.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -54321161572\nAnswer: -54321161572.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**4\/5 - 636*h**3 + 240588*h**2\/5 - 4794212*h\/5 = 0.\nAnswer: 0, 41, 713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -65? (a) -0.1 (b) 79 (c) 147\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + sqrt(720) + sqrt(720) + 2 + sqrt(720) + sqrt(720) + -5)**2 + sqrt(720) + sqrt(720) + 2*(sqrt(720) - (3 + sqrt(720))**2))*-4.\nAnswer: -66204 + 1824*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 6\/73, 3, 3\/5?\nAnswer: 6\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -710082 less than -710082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 1029*f - 4078. What is the remainder when 783 is divided by r(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -243.7 - -0.7. Let s = 243.0522 + n. What is s rounded to 3 decimal places?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r + 1704 + 1179 = 0. Calculate the remainder when r is divided by 51.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 57 = -4*k, -k + 8*s + 6 = 5*s. Suppose 2*a = k - 7. Suppose -38 = -a*w + 2. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2 - 6. Suppose -r = -o + 6, 0*o - z*o - 2 = 5*r. Suppose -o*n + 17 = 5. Solve -2*i - 5*j = i + 6, 0 = i - n*j - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3962000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 581119202 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: Suppose 2*m = 4*m. Suppose 3*b = -m*b + 12. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*b - 121 + 601 = 3120. Solve 0 = -44*h + 14*h - b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - 35. Let j be (-30)\/d + (-30302)\/3. Round j to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.504?\nAnswer: -0.1008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1043*y - 17 = -3*i - 1045*y, 11*i - 13 = 5*y for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q - 4 = 0. What is the first derivative of -3*u + 8*u - 4*u + q wrt u?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10208455382 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (21 + -7 - (-1296)\/(-57)) + 0 + -6. Is -16 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + 5 + (-2 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/3 + 10*j**3\/3 + 2*j**2 - 6*j.\nAnswer: 2*j*(j - 1)*(j + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-12))\/(5\/(-20)*-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.09 + -0.21. Sort m, 1\/2, 0.04, 1 in ascending order.\nAnswer: m, 0.04, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3384623 months in centuries?\nAnswer: 0.00111538525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/8)*g**2)**(-5\/4))**(-3\/41) assuming g is positive.\nAnswer: g**(255\/1312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 133*q**4\/24 + 2*q**2. Let j(d) = 2*d - 35 + 18 + 19 + 4 - 6. Determine j(v(o)).\nAnswer: 266*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25719401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-15) + 17\/5. Suppose p*l - 27 = -3*v - 0, -3*v + 23 = l. Solve -5*s = 2*j, -2*s - 15 = -v*s + j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62 divided by -4\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 0.0084\nAnswer: -0.00084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -11106*c - 1546578 + 1546578 as a + z*c and give z.\nAnswer: -11106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f3 - 5?\nAnswer: -1f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-440)\/56 + ((-56)\/49)\/8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -17.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckxxccxmmmmucccmxxc. Give prob of picking 3 c.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/59)*q**(-3\/5) assuming q is positive.\nAnswer: q**(-172\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1476 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26817726 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61154.01 - -50.01. Let g = x - -60617.67. Let w = -491 - g. Round w to one dp.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 - -39794547.\nAnswer: 39794632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8292 by 3.\nAnswer: 2764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dktd when four letters picked without replacement from {k: 3, d: 5, t: 5}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 6*m**2 + 6*m. Let v = 1 - 6. Let o be s(v). List the prime factors of 3\/o - (-28)\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -1229*f + 1214*f. Let t(w) = w**3 - 4*w**2 + 2*w - 7. Calculate t(f).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -271 - -115. Let y = -65 - i. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 75*f**3 - f**2 + 2*f + 1. Give d(1).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*l + 2 - 2*l + 6*l to the form j*l + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 315 - 384.4. Let d = o + 70. Let p = 2.9 + -3. Which is the nearest to p? (a) d (b) -3\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 462, 454, 448, 444, 442, 442?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 5, -284 in descending order.\nAnswer: 5, 4, 3, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 131268 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 8 - 16. What is the common denominator of -43\/22 and ((-13)\/15)\/(h\/(-15))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -729a08 (base 11) to base 4\nAnswer: -10131212230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2369934557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n + 2754 - 2680 = q, q = -n - 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from rkbpm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27\/113 - 6419\/565. Suppose 11 = g - 3. Suppose 0 = g*z + 346 + 340. Calculate the common denominator of z and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - i**2 - 2*i - 4. Suppose -10 - 2 = 3*d. Let p(k) = k**3 + 2*k + 3. Let z(h) = d*p(h) - 3*u(h). Suppose 4 = -2*v + 8. What is z(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*i - 2*v, 5*i - 13 = -3*v + 3. Let b be 3 - (7 + 3) - -17. Suppose -62*n + 64*n - b = 0. What is the smallest common multiple of i and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-16)*(-42)\/35*(-3)\/(-9).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 11*o**2 - 15*o - 25. Let x be g(9). Solve -k + 0*k = -x*y + 9, 0 = -3*k + 4*y - 17 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 397778?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/13 in 0.4, -4, 1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (2 + -26 + (-91 - -96))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z. Let d(j) = j + 3. Let c(w) = 12*w + 32. Let k(h) = -3*c(h) + 32*d(h). Let x be (0 - 1)*(9 - 10). Give x*k(i) + 2*v(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by (1\/(-3))\/((-5)\/255).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108008449 to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 249\/469 - 26\/67. Let k = -3 + 2.9. Which is the closest to h? (a) -1\/3 (b) -2\/7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0042676 to four dps.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven tenths of a decade?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 3:21 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51a2 (base 12) to base 8.\nAnswer: 21312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -59873, -119740, -179605, -239468, -299329, -359188?\n\"Answer: c**2 - 59870*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*u = 68, -3*l + 34 = -4*u - 10. Let x be (-478)\/1 + (-24)\/l. Round x to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 w, 1 v, and 1 t when four letters picked without replacement from vvvvzvzvvvxvvwtwzvv?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 5:34 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqonnqqno. Give prob of picking 1 n and 2 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**3\/2 + 65*u**2\/2 - 617*u + 3420 = 0.\nAnswer: 10, 19, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 2*q + 290. Let m be (-2*q)\/(3\/(-6)). What is the greatest common factor of m and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*m = 336*m + 6, 0 = -g - m - 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -59 (base 15) to base 13\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*t - t = -4, -t + 4 = 4*w. Let v = w - 1. Which is greater: v or -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -22752*g**2 + 8*g + 4. Let l(d) = -34127*d**2 + 13*d + 6. Let m(x) = -7*a(x) + 5*l(x). Let s be m(-2). Round s to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1407735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 5*q = 8*w - w, -16 = -w - 3*q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2690, 10622, 23842, 42350?\n\"Answer: 2644*j**2 + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/40 and 35\/9628?\nAnswer: 96280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36893 - 6262. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-1) + -1 - (-2 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -148 + 237. Let v = q - 86. Solve v*u - 6 - 6 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21379, 21380, 21381?\nAnswer: 21382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*(2*sqrt(80) + 4 + sqrt(80))**2 - (((sqrt(500)*-2)**2 + -3 - sqrt(500)) + -3)).\nAnswer: 3396*sqrt(5) + 38460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1134*q + 1129*q + 50 = 4*z, -27 = -2*q - 3*z. Let v = -11 + 6. Let w = 9 + v. Solve t = w*t + q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**4\/12 - 152*o**2. Let f(s) = -s. Suppose -13 = -4*p + 15. Give p*f(m) - 4*v(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2157, -8053, -17699, -31095?\nAnswer: -48241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 + 19989*s**2 + 19992*s.\nAnswer: -3*s*(s - 6664)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1464492 is divided by 1001?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 9*z**2 + 47511129*z + 15837042 = 0.\nAnswer: -5279014, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-2 + -2)) + -158 + (447 - 240)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 17 - 4*v)*(-2 - 3 + 6)*(3 + 0 - 1)*(-3 + 3 + v).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121164?\nAnswer: 2, 3, 23, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1460, 2926, 4392, 5858?\nAnswer: 7324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, -46, 3, -5, -3 in descending order.\nAnswer: 3, -3, -5, -46, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*y - 9 = 35, -4*o - 4*y = 16. Let u(g) = -1 - g + 2 - 4. What are the prime factors of u(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -2. Let t be (-12)\/14*(1 - 8). Let s = t + k. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence memm when four letters picked without replacement from mmmeeme?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10286*t + 684*t**2 + 1330 + 3063*t**2 - 1330 wrt t.\nAnswer: 7494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 2:07 AM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(1300) + 2*sqrt(1300) + sqrt(1300)) - (sqrt(117) + 1*(sqrt(117)*-2 + sqrt(117)))\/(sqrt(1089) + 1*sqrt(1089) + sqrt(1089) + sqrt(1089)).\nAnswer: -160*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v + 2*g = 22, -v - 7 - 11 = 5*g for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*l**3 - 2*l**2 + 6*l**2 + 344*l**3 + 227*l**3.\nAnswer: 407*l**3 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42256.752 + 42198. Round f to the nearest integer.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2588718 is divided by 2328.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 + 110*r**2 - 109*r + 148. Determine n(-56).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-285)\/(-9))\/(-5)*(-2313)\/(-514)*8\/(-6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 81\/4 of a century?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -3. Let g = 958 + -956. Which is the closest to k? (a) 0.3 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*q, 5*u - 11597 = -q - 11406 for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = m + 14. Let s = -18 - m. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**2*r - 455*f**2 + 11*f*r**3 + r**3 + 7962*r**2 + 1 wrt f.\nAnswer: -2*f*r - 910*f + 11*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 + 0*x**2 + 2*x**4 + (-3 + 0 + 1)*(2*x**4 - 3*x**4 + 0*x**4).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7*f**3 + 3*f**2 + 4*f + 2. Let i = 5 - 7. Let r be g(i). Suppose 5*z - r = -4*w + w, -w - 53 = -4*z. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1853 greater than or equal to -1852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*x - 23 + 63. Suppose 4*l + 3*i = 24, -l - 2*i + x = -9. Solve m - 14 = 2*j - 5*j, l*m - 2*j - 9 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*-3*2*sqrt(325))**2 - (2 + (sqrt(325) - (-1*(sqrt(325) + 1 + sqrt(325)))**2 - (sqrt(325) - ((sqrt(325) + -1)*-4 - sqrt(325)))**2)).\nAnswer: -225*sqrt(13) + 434216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*c - 4*c + 20 - 14*c + (-2*c + 2*c + 2*c)*(2 + 1 + 0) + 2 - 2 - c.\nAnswer: 2*c + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2)**(5\/9)*(i*i**(1\/2)*i)\/(i**(-8)\/i) assuming i is positive.\nAnswer: i**(227\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*p - 95*p**3 + 46*p**3 + 29*p**3 wrt p.\nAnswer: -120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k - 28*k - 18 = 5*z, 0 = -3*k - 4*z - 19 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-90)\/(-12))\/(-5))\/(12\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x + 836 = 756 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 10 = t. Solve -t*s - 4*r - 20 = 0, -4*s + 0*s + r + 5 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.68 * -76813\nAnswer: -589923.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25, 43, 233, 605, 1219?\n\"Answer: 10*y**3 + y**2 - 5*y - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -15*a - 6. What is the lowest common multiple of 14 and v(-4)?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -123688 or -123687?\nAnswer: -123688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/14 + -1 - 14688\/(-1512). Let b be 2\/(-9) + (-1888)\/(-72). Let y be 4\/b + 4530\/130. What is the highest common factor of y and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 224\/10 + (-2)\/5 and ((-90)\/63)\/((-2)\/28).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2014 or 2013?\nAnswer: 2014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -138\/26394263 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -8, -c - 2*u = -0*c + 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-109 + 131 - -81) + 0 + -31.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1085\/14 + 2\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - ((1 - 6) + 4)) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 582808150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b3 - 2?\nAnswer: -b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.1 - -18. Let i = -104 + 727\/7. Let o = -4 + 5. What is the nearest to f in -4\/3, i, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p**4\/3 - 905*p**3\/6 - 1085*p**2 + 900*p = 0.\nAnswer: -36, -10, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1179\/7 + 169. Which is the second smallest value? (a) -1 (b) -8 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43 - 0?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20, 38, 54, 68, 80?\n\"Answer: -p**2 + 21*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*b - 19, 6*b = 2*b - 2*o + 14. Calculate the lowest common multiple of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 645 a factor of 3051640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (334\/4)\/((-4)\/(-16)).\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/98728 and 125\/13202.\nAnswer: 2270744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.7 (b) -0.1 (c) 5 (d) 1 (e) 12162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -313358468\nAnswer: 125343387.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1288.33 + 1283. Let n = s - -0.33. What is the second smallest value in 0.1, -2\/57, 3, n?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 h when three letters picked without replacement from {h: 5, q: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/2628 and 25\/304.\nAnswer: 199728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 897, 903, 909, 915, 921, 927?\n\"Answer: 6*t + 891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84537 - 39463 = 9*l - 83185. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10\/9 (b) -2\/3 (c) 1512\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155513 is divided by 227.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-9)*(-28788)\/50379?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9262563 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -236, -0.3 in descending order.\nAnswer: 1, -0.3, -1, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -307423 (base 8) to base 13.\nAnswer: -37669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-6))\/(4\/6). Suppose -j = -2 - 3. Let d(t) = t**3 - 4*t**2 - 3*t - 5. Let s be d(j). Solve 0 = l*a - s*u + 7, 2*u = 3*a + 7*u - 27 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2929)\/2 - (5 - (-99)\/(-22)). Let x = 2082 + w. List the prime factors of x.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83*g + 233*g + 148*g + 364*g - 8*g to h*g + o and give h.\nAnswer: 654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 487, 4088, 13859, 32884, 64247, 111032?\n\"Answer: 514*o**3 + o**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 144\/600*40\/16. Sort -0.17, n, -0.23 in descending order.\nAnswer: n, -0.17, -0.23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 10*l**3 - 4*l + 3. Give v(2).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 4 - 338\/(-78).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -4, 2*x - 3 = 3*h - 17. Suppose -o - 6 = 3*f + 14, h*f - o + 15 = 0. Let k(c) = c**3 + 5*c**2 - 2*c - 5. Let v be k(f). Solve v*a = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1758 = 35*o - 20728. What are the prime factors of o?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/91083933 and -56\/339963?\nAnswer: 1184091129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -149893?\nAnswer: 149898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 g when four letters picked without replacement from {u: 1, g: 3, w: 7, k: 3, o: 5}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/6 or 3?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g. Let r(t) = -25*t. Let j(h) = 51*i(h) + 6*r(h). Let p(u) be the third derivative of -5*u**4\/24 - 47*u**2 + 3*u. Calculate p(j(b)).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 24008479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 730.6824ug to kilograms.\nAnswer: 0.0000007306824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 87507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327 = a - 2*b, -3*a + 0*a = -5*b - 981. List the prime factors of a.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 940*o - 8466. Calculate y(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + -1100?\nAnswer: -109a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20501, 41086, 61671, 82256, 102841?\nAnswer: 123426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 197568 and 240.\nAnswer: 987840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7200 and 5472.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 9. Suppose -565 - 206 = -3*w. Let l(z) = 9 - 6 + w*z - 251*z - 2 - 8. Let a(r) = -r + 1. Give u*l(k) + 28*a(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 8. Suppose 7*c + 3*p + 9 = 10*c, -4*c = 2*p - 24. Find the third derivative of -o**4 - v*o**2 + c*o**4 - 4*o**2 wrt o.\nAnswer: 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -3901?\nAnswer: -3906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -129 (c) -2.69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -9 - 4*d**2 + 3*d**2 + 7655*d - 7662*d. What is q(-8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24688 - -24749. Solve -k = -22*w - 83 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gagagagagaaa. What is prob of picking 3 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 146625092 by 6233.\nAnswer: 23524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/6670 and -27\/14.\nAnswer: 46690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/39, 2\/7, -70, -1\/2, 2\/17 in decreasing order.\nAnswer: 2\/7, 2\/17, 2\/39, -1\/2, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from ffsfffssslsffffffs.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 15\/191267 and 2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 63 = -4*v, 3*x - 9 + 48 = 2*v. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, -0.04, 31?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -245.7349 to one dp.\nAnswer: -245.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 251728, 250615, 249502?\nAnswer: 248389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s + 166. What is the smallest common multiple of p(25) and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13357137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 10*a**2. Let n(x) = -x - 6409. Give o(n(c)).\nAnswer: 10*c**2 + 128180*c + 410752810","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 9 (b) -22.2 (c) 3\/2 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3813.\nAnswer: 3, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217673.\nAnswer: 109, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*v**2 + 12340*v + 2664376.\nAnswer: -4*(v + 143)*(11*v - 4658)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -82385, -159410, -236437, -313466, -390497, -467530?\n\"Answer: -k**2 - 77022*k - 5362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/3 - 803*z**2\/3 - 156193*z\/3 - 6733885\/3.\nAnswer: (z - 971)*(z + 73)*(z + 95)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18923, -18992, -19055, -19112, -19163, -19208, -19247?\n\"Answer: 3*z**2 - 78*z - 18848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 74140.34 years in months?\nAnswer: 889684.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -5*x**4\/4 + 2*x**3\/3 - 4. What is the third derivative of j(t) wrt t?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -9 - 11. Let v(w) = 3*w**2 - 7*w + 6 - 9*w**3 + 8*w**3 + u*w**2. Is v(6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.131 * -2.8586.\nAnswer: -0.3744766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2522173?\nAnswer: 487, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143278586.\nAnswer: 2, 11, 6512663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-10)*(11 + -16). Suppose -2*z + 3 = 2*n - 3*n, k*n + 5 = 3*z. Solve -2*f + z - 11 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -724 - 1*(-6 - -4)\/2. Let u = w + 1221. What are the prime factors of u?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2 - 5950722*j - 8852773080321 = 0. Calculate j.\nAnswer: -2975361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 0 = x - 3, -15 + 30 = -3*u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 6*p**2 + 16*p + 1. Let h be c(8). Suppose z = -4*z + 25. What is the greatest common factor of z and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64403810483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14115703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, w: 2, n: 7}. What is prob of sequence pnw?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1052 (base 15) to base 13\nAnswer: -1757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + -40.4. Which is the biggest value? (a) 1\/6 (b) 1\/10 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 25 + 33 - 4*f + 30 - 132 + 19. Let n(u) be the second derivative of u**4\/6 - 9*u. Give n(t(r)).\nAnswer: 32*r**2 + 400*r + 1250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mlllfmllkmllmffllm. What is prob of sequence mll?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0*w = 0. Suppose -2*u + w*u + 10 = 0. Suppose u = -i + 5*z, 3*z + 6 + 14 = -4*i. Put -2, i, -4 in decreasing order.\nAnswer: -2, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8908)\/(-153) - (-4)\/(-18)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 2*x + 5. Let o(z) = -z**3 + 6*z**2 - 7*z + 3. Let p be o(5). Let d be y(p). Suppose f - d = -2*k, 0 = 2*k - k - 2. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116640311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y*y**(-32))))\/y**(-11))**39 assuming y is positive.\nAnswer: y**(-741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - 10\/(-3))\/((-2)\/3). Let l = -1 + 1. Which is the second biggest value? (a) l (b) 2\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 63*r**2 + 572*r - 2. Let a be n(52). Let z(u) be the third derivative of 7*u**4\/12 + u**3\/3 + 3*u**2. Determine z(a).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -213.752 - -213.74199955. Let h = 0 + -0.01. Let a = o - h. Round a to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 6 = -2*i, 15*d - 13*d - 1 = 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4 = 4*l + 2*p, -2*p = l + 4. Let r = l + 17. Solve 0 = -4*q - 3 - r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, v: 3}. Give prob of picking 2 v.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 1875*b**4\/4 - 21595565*b**3\/4 + 17648845*b**2\/2 - 3310840*b - 115160 = 0. Calculate b.\nAnswer: -4\/125, 2\/3, 1, 11516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10386?\nAnswer: 2, 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40923 - (8 + 2)\/(2 - 4). Suppose o - 223172 = -12*c. 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 22389 is divided by 1149?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/10 (b) 1\/14 (c) 0.2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1065 - 7438\/7. Let f be 0*(1 + (-4 - -2)). Suppose -4*u - u + 180 = f. Find the common denominator of u and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -6*y. Suppose y*j + 2*j = -3*r - 8, -5*j - 5 = 0. Let s be 3\/2 - (-2)\/(-4). Which is the second smallest value? (a) 0.3 (b) r (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m + 5*f = -179, f = m - 88. Let u = 90 - m. Let x be u + ((-1)\/(1\/2))\/2. Put 5\/4, -0.1, x, 4 in ascending order.\nAnswer: -0.1, 5\/4, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 50023?\nAnswer: -50022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 307 - 251. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2))\/(d*d**(-3\/4)))**26\/(d**(-1)\/d*d\/((((d\/(d*d\/(d\/d**(-8))*d))\/d*d)\/d)\/d)*(d\/((d\/(d\/d**(-1)))\/d*d))**(1\/40)) assuming d is positive.\nAnswer: d**(-531\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*(z**(-5)*z)\/z*z)\/(z**(3\/5)\/z)*(z**(-3\/2))**(6\/7) assuming z is positive.\nAnswer: z**(-101\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 24*c**2 + 96*c - 256.\nAnswer: -4*(c - 8)*(c - 2)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -831*z**5 + 229*z**4 - 142341*z**2?\nAnswer: -49860*z**2 + 5496*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 divided by -1832864?\nAnswer: -197\/1832864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 - 7 - 392*a**2 + 392*a**2 + (2 - 2 + 2*a)*(6*a**3 - a**3 - 3*a**3).\nAnswer: 5*a**4 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**4\/4 - 4363*w**3\/4 - 6215253*w**2\/4 - 2694129025*w\/4 + 140246460241\/2 = 0?\nAnswer: -1483, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 + -80. Suppose y = 50*u - 47*u. Suppose -u*o + x + 121 = 0, -3*x = -x - 10. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/4 - 4) + 1 + 9.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 4*s + 82 - 20, 3*d - s = -73. Let a be -28 - d - -1*4. What is the nearest to -2\/5 in 0, a, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 227150 and 132451165?\nAnswer: 1324511650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/10 or -15429?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times -2?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o**2 - 9 + 9)*(1 + 1 + 0)*(-1 + 1 - 1).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -849, -1823, -2831, -3891, -5021, -6239, -7563, -9011?\nAnswer: -10601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6040252886 to the power of 1\/2, to the nearest integer?\nAnswer: 77719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-840)\/(-72))\/(2\/18*(-45)\/15).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**6\/60 + 1739*b**5\/60 + 296*b**3 - 18*b**2 - 44. What is the derivative of f(m) wrt m?\nAnswer: 6*m**2 + 3478*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 9 = 5*a, -4*d + 8*d - 2*a = 26. Solve 8 + d = 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 + 2.02. Let l = f - 4. Let q = 1 + l. Which is bigger: q or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/5)\/(q\/(q**(-6)\/q*q)))\/(q*q\/q**(-1))**(-2\/17))**(-44) assuming q is positive.\nAnswer: q**(25608\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -361*0.05.\nAnswer: -18.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (-4)\/(-4) + 32. What is the units digit of (-362)\/(-14) - (-5)\/y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1035, -1074, -1263, -1704, -2499, -3750, -5559?\n\"Answer: -17*r**3 + 27*r**2 - r - 1044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 35*p**2 - 7*p + 11. Is s(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(18) + sqrt(18) + sqrt(288))**2*-3*-3 + 4*((sqrt(144)\/sqrt(6))\/sqrt(12) - (sqrt(18) + -3)).\nAnswer: -332*sqrt(2) + 5853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*b + 609 = 0, 1212 = 2*c + 6*b - 10*b. Suppose -12*v + c = -6*v. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from llzz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/2512 and -41\/14?\nAnswer: 17584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*c - 6*c + 10. Let v(u) = u**2 + u. Let j be v(c). Let b(a) = a - 7. Let f be b(7). Solve -j*w - 8 - 2 = f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 - 78. Let d(w) = -w**3 - 3*w**2 + 6*w - 4. Calculate d(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-45)\/99*2\/(-5). Factor 0*y + 0 - l*y**3 - 4\/11*y**2 + 6\/11*y**4.\nAnswer: 2*y**2*(y - 1)*(3*y + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90 - -124 - 3) + 1 + -12?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 5. Let x be 4*1\/y*3. Suppose -x*g + 54 = -2*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**3*x**3 + 584*c**3*x**2 - 6*c**2*x**2 + 3*c*x**3 - x**3 + 13*x**2 wrt c.\nAnswer: -24*x**3 + 3504*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**2\/2 - 2*t - 8. Let g(x) = -1. Let h(s) = -2*g(s) - i(s). What is the derivative of h(l) wrt l?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 0.2, -347, -3, 2\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5412, -43253, -145978, -346029, -675848?\n\"Answer: -5407*o**3 + 8*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 913 + -606. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*u**4 - 531*u**3 + 187*u**2 - 14*u + 2 wrt u.\nAnswer: 72*u - 3186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 973259607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 2*m + 11. Let t be d(0). Suppose f = t*f - 40. What is the second biggest value in 1\/14, -1\/4, f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m + 3*g + 52 = -0*m, 2*m + g + 9 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 9*a - 156. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 229, 236, 253, 286, 341, 424?\n\"Answer: x**3 - x**2 + 3*x + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59027097.0000016 - 59027183. Let g = k - -86. Round g to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*c + 14*c - 33*c - 36 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e7a7c + -68?\nAnswer: -1e7ae5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 10*k + 31. Calculate c(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - 1)*(1 + 5 - 3) + (4 + 3 - 5)*(-3 + 3 + 1))*(-5*i + 7 - 7).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u. Suppose -30 = 3*b + 3*x, 5*b + 34 + 16 = -2*x. Let g(i) = i**4 + 6*i. Let h(f) = b*l(f) + 2*g(f). What is the second derivative of h(v) wrt v?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2046 and 176?\nAnswer: 16368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/397 + -15478\/1985. Suppose 696 = -2*n - 240. Let c = 4202\/9 + n. Calculate the common denominator of o and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and 0.16723177.\nAnswer: -2.50847655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/(11 - (-156)\/((-13)\/1)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + ((-11 - (-116)\/8) + -2)*-6.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-10\/7)*y**(-48))**(32\/3) assuming y is positive.\nAnswer: y**(-11072\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 15*l**2 + 16*l + 2. Let h be 6\/33 - ((-18)\/(-33))\/3. Suppose 0 = 14*q - h*q - 224. Let x be s(q). Solve -2*u + u - x = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142387536 = 3*d - 11*d. Let o = d - 2101558. What is o rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -4 - (1 + 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 12:42 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 + 615*z**2 - 154*z.\nAnswer: z*(z + 154)*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/8 and 35\/8179.\nAnswer: 65432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-4)\/n)\/(n\/n**5))\/((n*n**(-2\/7))\/(n*n*n*n**3)) assuming n is positive.\nAnswer: n**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -48733, -97541, -146337, -195115, -243869, -292593, -341281, -389927?\n\"Answer: l**3 - 48815*l + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 28*x - 2. Is m(2) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 4*z - 3*o - 27, -5*o = 25 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 103122?\nAnswer: -103132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75892 is divided by 280?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 + 39*d - 17. Let y be m(19). Let s(f) = -f**2 - 266*f + 266*f + 0*f**y. Let c(v) = -94*v**2. What is c(s(n))?\nAnswer: -94*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -9 - 11. Let v = 2 - 2. Let u = f - v. Solve 4*g + 21 = -u*o, -3*o + 24 = 4*g - 7*o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-4 + 6 + (-1 - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1764788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -60*l**5 - 1484*l**4 - 2324*l**3 + 1644*l**2 + 1856*l + 368 = 0?\nAnswer: -23, -2, -2\/5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6066604261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-39)\/(-9) - (-2)\/3. Suppose 2*k - m + 1 = 0. Find the third derivative of 0*l**4 + 0*l**k + 2*l**2 - 2*l**4 wrt l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**3\/3 + 28*q**2 + 227*q - 4004\/3 = 0.\nAnswer: -11, 4, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/50*6\/(-36)*-4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -325.3 + 344. Let l = i + -19. Let x(m) = m**2 - 6*m + 11. Let h be x(4). Is l less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+4.982\nAnswer: 5.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + r**3)*(0*r - 3*r + 2*r) + 3*r**4 + 4*r - 3*r**4 - 1 - 5*r**4.\nAnswer: -6*r**4 + 4*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - c. Let t(m) = -193*m - 2119. Let i be t(-11). Factor c*b**2 - 4\/9*b**3 + 4\/9*b - 2\/9*b**i + 2\/9.\nAnswer: -2*(b - 1)*(b + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.4 + 0.4. Let d = -12 - i. Let p be ((675\/(-60))\/(-9))\/(10\/4). Is d smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10942 is divided by 199.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c = c + 670. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 7*f - 238. Determine g(-19).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 11:07 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -50\/319973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 24 = -2*b, 3 = 2*r + 1. Let t(a) = -a**3 + 6*a**2 - a - 3. Let v be t(5). Let q = b + v. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3200489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 11*l**2 + 12*l - 14. Let r be i(10). Is (2 - 3)*r*-3 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**7\/945 + d**6\/540 + d**5\/90 - 5*d**4\/108 + 2*d**3\/27 + d**2. Factor r(x).\nAnswer: -2*(x - 1)**3*(x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -0.2 (c) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 7*o + 13. Let b be u(-7). Let h(i) = i + 10. Let r be h(-8). Suppose r*q + 5 = b. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3 + 5193746*t**2 - 6743744184380*t - 13487509143752 = 0.\nAnswer: -2, 2596874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2324, -2352, -2376, -2396, -2412, -2424?\nAnswer: -2432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*o**2 - 27*o**2 - 13*o**5 - 2*o**5 - 4*o + 4*o + (-2*o**5 - o + o)*(-2 + 1 + 2).\nAnswer: -17*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-30)\/(-39)*-13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -299.2054 - 44.8128. Let b = -344 - j. Round b to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/43? (a) 5\/7 (b) -0.01 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/931890 and -63\/8?\nAnswer: 3727560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 2*c + 20, -6*u + 2*u - 4 = -4*c. Suppose 0 = u*m + 3*m - 24. Solve -m*j = 3 + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 8:25 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -98, -192, -284, -374?\n\"Answer: f**2 - 97*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -2 (c) -1 (d) -1.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.95064 + -0.04936. Let p = 8 + -5. Sort s, p, -6.\nAnswer: -6, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -3\/5 (c) -0.1 (d) -133\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**5\/60 - y**4\/12 + 7*y**3\/6 + 109*y**2. Let g(h) = h**3 + 7*h**2 + 8*h + 4. Let u be g(-6). Is n(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 596 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-72)*-9)\/(39\/8)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 8. Let b(z) = z**3 + 4*z**2 - z - 2. Let v be b(n). Solve 2*g - 4 = -v*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (844\/(-633))\/(4\/39).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/(k\/(k\/((k**(1\/4)*k)\/k))))**(-4\/17)*((k\/(k*(k\/(k\/k**(-1\/7)))\/k)*k)\/k)\/k**(1\/7))\/((k*((k*k*(k**0*k)\/k)\/k)\/k)**24)**(-49) assuming k is positive.\nAnswer: k**(19998\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.741426nm to centimeters.\nAnswer: 0.0000000741426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 341745, 1\/6, -2\/3 in ascending order.\nAnswer: -1, -2\/3, 1\/6, 4, 341745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.020036 - 0.02. What is o rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(99765\/(-6))\/(-9). What is b rounded to the nearest 100?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3313\/471893?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*d + u = 117*d - 16, 4*u + 10 = -3*d - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 106572443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -12. Let i = c - -5. Is 0 not equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 136 + -68. Let p = 99 - x. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/80 and -27\/56.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 338 - 2*x + 506 + 2186 + 7*x)*(-4*x**3 + x**3 + 2*x**3).\nAnswer: -2*x**4 - 3030*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.697 rounded to 1 decimal place?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1381c93 (base 14) to base 15\nAnswer: c6b9ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -3627792 and -3627792 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 24, 20, 14, 2 in descending order.\nAnswer: 24, 20, 14, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3735.54 + -3796. Let x = j + 0.46. Let i = x + 59.9. Which is the nearest to -0.2? (a) 0.4 (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81.2 - 80. Let z = -3 - -4.5. Let q = v - z. Which is the nearest to q? (a) 3 (b) -0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5221, 10, 4456?\nAnswer: 4456","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3144213 divided by 1.\nAnswer: -3144213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqv when three letters picked without replacement from {o: 1, v: 2, q: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1495003227 and 18822?\nAnswer: 9411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2885, 5827, 8769?\nAnswer: 11711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.178134 milligrams to grams.\nAnswer: 0.001178134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -488 - -494. Let y(j) be the third derivative of 0*j**4 + 0 - 1\/40*j**z + 0*j - 8*j**2 + 0*j**3 + 1\/30*j**5. Find the third derivative of y(p) wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abaa when four letters picked without replacement from {c: 4, b: 2, a: 4, r: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-3)\/(-27))\/((-100)\/(-10800)*117).\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 + -48. Let f(k) = -4*k**2 + 2*k - 2. Let m(s) = 5*s**2 - 3*s + 3. Let q(o) = p*f(o) + 2*m(o). Let z(w) = -1 + 1 + w. Calculate q(z(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -497, -995, -1493?\nAnswer: -1991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7798, 15753, 23722, 31711, 39726, 47773?\nAnswer: 55858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1552973.\nAnswer: 409, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 5, 4\/7, 4, -90?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27209 is divided by 713.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12983135*f**3 + 5210957 with respect to f.\nAnswer: 38949405*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32 or 396092?\nAnswer: 396092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88267 and 1769?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d**2 - 3*d**2 + 3*d**2)*(-2 - 2 + 2) - 2188*d - 8*d**2 + 2286*d + 9*d**2 as a + x*d + s*d**2 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 6*a - 2*a + (4*a - a + 0*a)*(4 + 4 - 6) + 2*a + 7 - 7.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**3\/3 - 3*d**2\/2 + 41*d + 45. What is the derivative of k(m) wrt m?\nAnswer: -2*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*i + 2*i + 12, 0 = s + 4*i - 18. Let t be s - 1\/(-2)*(13 + -1). Solve 9*w - 10 = t*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10000100011011000 (base 2) to base 10\nAnswer: -67800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7457*s + 626396. Determine n(-84).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67751*q**4 - 36*q**3 + q**2 - 645651*q + 11 wrt q.\nAnswer: 813012*q**2 - 216*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spvqvsssvvpqs. What is prob of sequence ss?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 30*m + 62. Let j be c(-28). Solve 0 = -8*h + 10 + j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-6 + 4) - 3) + 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 3*a + 32, 5*g - 4*a - 7 = 29 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42221469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.13 + 0.13. Let j = -3 + o. What is the nearest to -0.3 in 0.5, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/110781 and -54\/5.\nAnswer: 553905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -353 = -145799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 8*t**2 - 7*t + 11. Let z be 190\/114*42\/10. Determine w(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11231.\nAnswer: 11, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 + 42. Let a be 84\/(-8)*u*33\/(-9). Let v = -46 + a. What is the greatest common factor of v and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(72))*6 + -4)*-3)**2.\nAnswer: -6480*sqrt(2) + 24228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 5)*(-4*d + 5*d - 2*d).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4681 = 9*g - 4690. Sort g, -9.69, 1\/5 in increasing order.\nAnswer: -9.69, 1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 32 = b, 2*b + 2521*i = 2519*i - 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 3 = -3*m + 5*k, 16 = m - 4*k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**3 + 2742608*r**2 - 5485222*r + 2742612 = 0.\nAnswer: -1371306, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 + 2246512*j + 44930208\/5.\nAnswer: 2*(j + 4)*(j + 5616276)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -60*p**5 - 1396*p**4 + 1072*p**3 + 384*p**2 = 0.\nAnswer: -24, -4\/15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 5.7. Let z = 24 - 20.8. Let t = 1.8 + z. Which is the second biggest value? (a) -6\/5 (b) d (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -566*l. Let i(y) be the second derivative of y**3\/6 + 6*y + 21. What is o(i(p))?\nAnswer: -566*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 99*b - 1932. Calculate the lowest common multiple of m(27) and 1206.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = l - a + 7, 2*l - 3*a = 19. Suppose 0 = -k - 2*k + q + 17, 5 = -q. Let z(g) = g + 8. Let i be z(-5). Solve 0 = l*x - i*x - k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + q - 4 = -7, -x - 6*q - 18 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4 - -3)\/((-4)\/292)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**3 - 1694*h**2 - 41520*h - 250848 = 0.\nAnswer: -12, 871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -455.1 + 455. What is the nearest to 1 in -1\/2, -1\/3, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -242 - -2660\/11. Let u = -97823.5 + 97823. What is the second biggest value in u, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 49. Which is greater: 0.142 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 659204 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from {n: 1, z: 1, f: 1, m: 1, r: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) 32.6 (c) -40845\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 12:14 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 490747.9cm in meters?\nAnswer: 4907.479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 10*f**2 - f - 4. Give z(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -60385\/163 greater than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 255148437\/494 + -516495. Calculate the common denominator of o and -15.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.934 to the nearest integer.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2. Suppose l = s + 2. Let z(y) = -y**2 - 10*y + 13. Let t be z(-11). Solve t*k + l = 5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -415*y - 2. Let v(z) be the third derivative of z**4\/24 - 3418*z**2. What is p(v(b))?\nAnswer: -415*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1434, -1624, -2138, -3138, -4786?\n\"Answer: -27*b**3 - b - 1406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v**2 - 19*v**2 + 7*v**2)*(-3*v + v + v) - 3 - 58919*v + 4*v**3 + 58920*v - 35*v**3.\nAnswer: -13*v**3 + v - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 789, 7195, 24569, 58395, 114157, 197339, 313425, 467899?\n\"Answer: 914*q**3 + 8*q - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 - 36754 + 73241 - 36487.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -254, -216, -154, -68, 42, 176, 334?\n\"Answer: 12*z**2 + 2*z - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = 5*w + 2*u + 22, -3*w + 4*u = 54. Let d be (2\/(-4) - (-3434)\/2020)\/((-2)\/40). Do w and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2657\/5 + 531. Sort 4\/135, y, 0.5, -0.1 in decreasing order.\nAnswer: 0.5, 4\/135, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8097.731ms in seconds?\nAnswer: 8.097731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 477*r + 4 + 51*r + 77*r.\nAnswer: 605*r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01205137099 to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7\/16 - -3\/80. Which is the closest to -3? (a) 0 (b) -1\/5 (c) -2\/7 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4 - 3*n**2.\nAnswer: 3*n**2*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-9)*113 + (142 + -103 - 27).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 104*v + 8\/3 + 1014*v**2 = 0.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) -11 (c) 0.08 (d) 4 (e) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1567 - 163 - 2010 = -340*p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o**2 - 4*o**2 + 5*o**2)*(22 + 15*o + 26*o - 23) as x*o + f*o**2 + j*o**3 + p and give j.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 882407?\nAnswer: -882407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 - 72*w + 171. Determine h(27).\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1700) + 1 - ((sqrt(272) + -4 - sqrt(272)) + sqrt(272) + 4))**2.\nAnswer: 48*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 4. Let t(x) = -x**2 - 4*x + 6. Let f be t(-6). Let k be s(f). What is the third derivative of 3*v**6 + 7*v**2 - 5*v**k + 3*v**6 wrt v?\nAnswer: 720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(18\/(-16))*-1. Suppose 0 = -2*f - 0 + x. Solve f = -5*v + v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2098a (base 13) to base 7\nAnswer: -333206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -498*x**3 - 73*x**2 - 105*x**2 + 178*x**2 + 5921*x**3 + 2.\nAnswer: 5423*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -677.54 at most 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -90, -172, -286, -438, -634?\nAnswer: -880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (9 - 24) + -38 + (-2 - 12)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143 and 649.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a + 2*a + 5*a**2 - 2*a**2. Let j(y) = -8*y. Calculate j(x(s)).\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -30, -72, -138, -234, -366?\nAnswer: -540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -11*f**3\/6 - f**2\/2 + 21*f. Let g be m(3). Let p = -33 - g. Solve 7 = -t + b, -2*t + t = b + p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-3))\/(d*d**16\/d) assuming d is positive.\nAnswer: d**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2*s**(-5\/6))**(4\/5))**(-36\/7) assuming s is positive.\nAnswer: s**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59989 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233446\/10822 + 10\/7.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30, -67, -104, -141, -178, -215?\n\"Answer: -37*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 15041712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374 = 28*v - 92*v - 714 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -76*q**2 - 73*q**2 + 148*q**2. Let n(o) = 37*o**2 - 1. Determine h(n(d)).\nAnswer: -1369*d**4 + 74*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 8*h + 1. Let i be (-16)\/(-4) - (0 - -2). Let z be b(i). Let q = z + 8. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49.1 + -49.08332. Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxaf when four letters picked without replacement from {m: 4, x: 1, q: 1, a: 4, f: 1}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138108402, -138108410, -138108418, -138108426?\nAnswer: -138108434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2640010709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 102*a - 94*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-1584)\/32))\/((-4)\/6).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, v: 11, y: 3}. What is prob of picking 1 q and 2 y?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 19 and -1.5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 17 (c) -4 (d) -2\/27 (e) -0.326\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265900 is divided by 112?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 39*c**2 + 275*c + 11910. Determine m(-38).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 28 = -11*f. Let p be (-1)\/((-14)\/f - 1). Let r = 1\/82 - -731\/574. What is the third biggest value in 0.4, p, r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/112 and -91\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(2\/5)*t*t))\/t**(-2\/27))\/((t*t*(t\/(t\/(t\/((t*(t\/(t**(-2)*t))\/t*t)\/t)*t)))\/t*t)\/t)**(-18) assuming t is positive.\nAnswer: t**(2251\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - (-2 + 5 + -5 + 13).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/26 + -57\/130. What is the closest to 1 in 1\/3, p, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/7048 and -33\/3616?\nAnswer: 3185696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**4 - 7*a**3 - 18*a**2 + 3*a + 10. Let h(q) = 3*q**4 - 10*q**3 - 26*q**2 + 5*q + 14. Let b(p) = 5*h(p) - 7*j(p). Determine s, given that b(s) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.5 - -6. Let l = 1.9 - -0.1. Let u = l + f. Sort 0.1, u, -2.\nAnswer: -2, u, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22415 - 22319.17. Let j = -94 + m. Let h = j + -1.83000237. Round h to seven decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76 + 138. Suppose 239*v - 773 = -99 + 14383. Suppose v*q - d*q = 2. What is the greatest common divisor of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-4))\/y*y*y)**(1\/35))**(-21) assuming y is positive.\nAnswer: y**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 84*v - 902. What is the least common multiple of c(13) and 399?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1985, -7988, -18017, -32072, -50153, -72260?\n\"Answer: -2013*r**2 + 36*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13958232 is divided by 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 8*h**2 - 7*h - 2. Let o be v(2). Let c(t) = -t + 5. Let i be c(o). Which is greater: i or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -181 in 2, -0.3, -1, 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22761 * 0.1.\nAnswer: 2276.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 1\/5*v**2 - 14 - 12\/5*v + 2\/15*v**3. Factor m(r).\nAnswer: 2*(r - 2)*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 7 + 7 - 4*q**2. Let c be g(-2). Let l be 5\/(c\/(-8)) - 3. Sort l, -4, -10, 1 in descending order.\nAnswer: 1, l, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2. Let m(o) = o - 4. Let u(f) = 7*g(f) - 4*m(f). Give u(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in -3, -1, -2\/109?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(1008) - (sqrt(1008) + 1 - sqrt(1008))*-4 - ((sqrt(1008) + -2*sqrt(1008) + sqrt(1008) - sqrt(1008)) + -2)*6)**2.\nAnswer: 1536*sqrt(7) + 16384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 - 7 = 4*b. Suppose -351*u - b = -358*u. Determine m so that 4\/3*m**2 - 8\/3*m**3 + 0*m - 4*m**u + 0 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 + 0.94. Let m = u + 0.06. Is m at least 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 13.6. Let m = x - 16.6. Let c = -14.0025 - m. Round c to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 8322.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 33*q + 5 - 40*q + 4*q - 2. What is l(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 11*a**2 + a - 22. Let q(k) = 5*k**2 + k - 11. Let j(y) = 13*q(y) - 6*z(y). Find the first derivative of j(t) wrt t.\nAnswer: -2*t + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24017853 - -24017951.999945. Let s = f - 99. What is s rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p**2 + 2*p - 10. Let m(n) = 8*n**2 - 186949*n + 0 + 6 + 5 + 186947*n. Suppose 0 = -5*s + 5*h - 20, 5*h + 6 = -4. Determine s*m(l) - 7*x(l).\nAnswer: l**2 - 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -z. Let k(n) = -n**2 - 8*n - 2. Let y be k(-7). Suppose 0 = -z*s - y*s. Solve p + s*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 882 and 289394?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -207 or -21527?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**10)*f)**(-19\/2) assuming f is positive.\nAnswer: f**(-209\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20*0.4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*x + 327*x + 4*i = 295410, 0 = 5*x + i - 738534. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4138399136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 4*j + 74, 2*j + 94 + 123 = -5*x. Let l = 51 + x. Suppose 0 = l*i + 5 - 71. Calculate the remainder when 18 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2102411 (base 5) in base 4?\nAnswer: 20132223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = 5*g - 280. Let m(k) = 9*k**2 + 3*k - 1. Find the common denominator of g and m(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17361 + 17485.184. Let c = v + 0.416. Round c to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2)*(-1 - 3*f + 2*f + 0*f) as h*f + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2986390, -2986388, -2986378, -2986354, -2986310, -2986240, -2986138, -2985998?\n\"Answer: y**3 - 2*y**2 + y - 2986390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*-4*(-65)\/(-416)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/105)\/(2\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*4\/(12\/(-11)). Let f = p - -13. Suppose -25 = -6*d + d. Solve 0 = -4*a - 16, -f*r - 2*r - 32 = d*a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*j - 39*j - 1752 = -95*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 33. What is the remainder when 12 is divided by (v - -17) + (1 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 4*f + 4. Let o be q(-4). Solve -o*s = s - 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from yyyhyyyyyyhhyhyh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and (-387)\/(-11) + (-4)\/22?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6) + (-3)\/(-9). Let o(f) = 0*f**2 + 6*f + 3 + f**2 + y*f**2. Suppose 2*l + n = 5*l + 8, -4*l + 2*n = 8. Calculate o(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -24389\/18*q**3 - 841\/24*q**4 + 2*q + 0 - 29\/60*q**5 - 40*q**2 - 1\/360*q**6. Factor g(i).\nAnswer: -(i + 29)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3*p + 0)*(168 + 192 - 440)*(p - 3*p + p) as f*p**2 + a + n*p and give f.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 a factor of 245018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 6:28 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33215803 and 3640088.\nAnswer: 265726424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/5 in -4, 32, -0.3, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6489 - -6495.2. Sort 5, c, -0.4, 2\/7, 2\/3 in descending order.\nAnswer: c, 5, 2\/3, 2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnwj when four letters picked without replacement from {n: 1, c: 1, j: 8, v: 1, w: 2, i: 1}?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*i**3 + 0*i**3 + 899*i**2 - 2796 + 2796 - 30*i**5 wrt i?\nAnswer: -1800*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) 3\/7 (b) 10 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 6 - (-3 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.11 - 4.11. Let d = -0.2 + 0.3. Let w be (3\/35)\/((-40)\/(-500)) + (-15)\/10. Sort d, w, o, -9.\nAnswer: -9, o, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 6 (b) -653 (c) 0.034 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 89953 * -0.4\nAnswer: -35981.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + c + 1. Let s(t) = -52*t**2 - 2*t + 2. Let z(d) = -4*q(d) + 2*s(d). Factor z(w).\nAnswer: -4*w*(25*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - 12\/(-3) - -1. What is the tens digit of (v - -3)*(-151)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8346*b**2 - 21*b + b**3 - 6938*b**2 + 22*b to c*b**2 + p*b + t*b**3 + r and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, t: 2, v: 4}. What is prob of sequence tc?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3.6, -2\/11, 295, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + sqrt(110)*3 + sqrt(110))*-3)\/((sqrt(490) - (sqrt(490) - (-1*sqrt(490) - sqrt(490)))) + sqrt(490)).\nAnswer: 15*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63 + 126. Suppose 108 = 65*n - k*n. List the prime factors of ((-162)\/12)\/((-3)\/n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 1. Let d(w) = 7*w - 2. Suppose i + 3*i - 8 = 0. Suppose 5*r = -0*r + 5. Let p(l) = i*c(l) + r*d(l). Let f(v) = 2*v. What is p(f(a))?\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 285.6066897\nAnswer: -285.6066897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/25 of a century?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/7)\/h**4*(h*((h\/h**(3\/4)*h)\/h)\/h)\/((((h*h**(3\/5)*h)\/h)\/h)\/h))**42)**(-3\/35) assuming h is positive.\nAnswer: h**(3861\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -643*v + 141. Calculate i(0).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 + 70. Calculate the remainder when 122 is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2023\/9 + 225. What is the closest to 2 in 3, h, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 789.572035 + -6.\nAnswer: 783.572035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20244000 = 25*x - 4*x. Round x to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 14, n: 5}. Give prob of sequence ne.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 125.866 + -125. Round h to two decimal places.\nAnswer: 0.87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*h**3 + 2644719*h**2 + 1322361*h.\nAnswer: -3*h*(h - 440787)*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(567\/6))\/(2\/12)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**3 + 684*z**2 + 36585*z - 1427382 = 0?\nAnswer: -66, 27, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 6*p + 2*p)*(-141*p - 1004 + 1004) + (-1 + 2 - 2)*(p**2 + 1 - 1).\nAnswer: 281*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79.38 - -76.38. Which is the closest to g? (a) -1\/525 (b) 4\/9 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2299) + 1 - sqrt(2299)) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -5. Let n = -2392\/5 - -9563\/20. What is the nearest to n in -5, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -637.57566 to the nearest 10.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 4*r - 74 + 2*r - 5834 + 5*r**2 - 1222.\nAnswer: 4*r**2 - 2*r - 7130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 t when two letters picked without replacement from hhthxxttxhthh.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*o**3*u**6 + o**3*u**2 + 475*o**3*u - 2*o**3 + 4*o**2*u**2*x - 1289*u**5*x + 2*u*x wrt u.\nAnswer: -2640*o**3*u**3 - 77340*u**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4c4 + -11e90?\nAnswer: -12464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-12))\/(-1 + 20\/32). Which is the smallest value? (a) 1 (b) y (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24736 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.273696 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3 - 5 = -g, -28 = -3*g - 4*s. What is the least common multiple of -1 - (2\/1 - 10) and g?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -49*g + 28*g + 21*g + g**2. Let n(z) = -12*z**2. Give w(n(s)).\nAnswer: 144*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 369552055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a77 (base 16) in base 2?\nAnswer: 101101001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 495 = -50*c. What is the third biggest value in -1\/7, c, -0.4, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiiyzihhiuhyhyy. Give prob of picking 1 h and 3 i.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 637435*f + 1274850.\nAnswer: 5*(f + 2)*(f + 127485)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4 take away 49144?\nAnswer: -49137.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/6*((-5)\/(-4))\/(65\/(-78)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.06 (b) 13 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 186, 151, 116, 81, 46?\n\"Answer: -35*b + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 704808 and 4671.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/2 in -0.008, -0.3, -2\/9, -0.2, -0.02?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 4 + 0 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (816*c - 352*c - 410*c)*(5*c - 4*c + 0*c) to z + q*c**2 + u*c and give q.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 5:31 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -17\/20*r**5 - 3*r - 9\/2*r**2 + 0*r**4 + 0 + 0*r**3. Differentiate y(z) wrt z.\nAnswer: -51*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y + 2. Let u(b) = -11*b - 3. Determine -4*u(a) - 7*x(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23324.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**4\/12 + 19*u**3\/6 + 58*u**2 + 3*u - 1137. What is f(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 + 4*w + 62. List the prime factors of u(9).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 358\/35 - 54\/5. What is the nearest to -1 in x, 1, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-21 + 29 + -2 + 25)) + 10?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 107910 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -390*x + 25350 + 3\/2*x**2 = 0. What is x?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.34 + 65.66. Let j = w + -66.5. Which is the nearest to 0? (a) j (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 3*p, 0 = -g + 4*p - 692. Let b = g + 987. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 10 - (-1 - -2) - ((11 - 35) + 15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.2 (b) 4 (c) -11 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 3*c**2 + 3*c + 1. Give t(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/4? (a) -140 (b) 0.2 (c) 81 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (39\/(-13))\/3*8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1202*p - 1204*p - 7*r + 112 = -4*r, 17*p - 153 = -2*r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -3 (c) 5 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 + 47. Put 0, -4, -1, f in increasing order.\nAnswer: -4, -1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*m - 11202 = -3782 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -13 + 4. Suppose -6*q = -n*q - 210. Suppose -3*k + 8*k - q = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0. Suppose -3*y = -m*y - 14. Let h(d) = -d**3 - 3*d**2 - 2*d. Calculate the least common multiple of h(-3) and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 7*l + 2. Let m be b(-7). Let d(o) = 2*o - o**3 - m - 8*o**2 + 10*o**2 + 3. Give d(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1604912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/53690 and -1\/69030.\nAnswer: 483210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 6*g**2 + 3*g + 9. What is v(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1228031.28 to the nearest ten thousand.\nAnswer: -1230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 90812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 3, 28, 87, 192, 355?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*q - 8*q - 7*q - 10*q - 9*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + 3585 + 2701. List the prime factors of c.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmbb when four letters picked without replacement from mmbmmmmmmbmmbmmmmm.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2894*u**2 - 4*u + 3. Is z(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2686, 2684, 2682?\n\"Answer: -2*t + 2688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 37 = -4*o - h, 5*h - 12 = -128*o + 127*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = -k + 1760. Let g be (10 - 1670\/k)*(-6)\/21. Sort 3\/16, 7, g in increasing order.\nAnswer: g, 3\/16, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 14. Suppose -5*j = k, 7*h = 4*h + 4*j + 144. What is the remainder when h is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43690119714*c**2 - 43690119714*c**2 - 34*c**3.\nAnswer: -34*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 - -17. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -31*u - 235. Let m be p(-8). Let b(z) = 18*z**3 + 6*z - 7. Let j(v) = -37*v**3 - 13*v + 15. Give m*b(n) + 6*j(n).\nAnswer: 12*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26827 + 26826.3. Put 0.4, v, -53 in descending order.\nAnswer: 0.4, v, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -2, 13\/1993, -3 in descending order.\nAnswer: 22, 13\/1993, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8685 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/(-4))\/(3\/6))\/(334\/1169)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6743 - 6724. Sort 14, r, -2\/9.\nAnswer: -2\/9, 14, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + (-4)\/6)\/(4\/(-102)). Suppose 0 = 5*d - 8 - s. Let n(b) = -2*b + 16. Let m be n(6). Sort -4\/9, d, m in increasing order.\nAnswer: -4\/9, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8940000 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**4 - 3*u**3 - 66*u**2 wrt u.\nAnswer: 48*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 2*p**2 - 3*p + 2. Let c be d(3). Let q be (-2)\/(8\/6 - c). Let r(t) = 314*t - 1256. Let s be r(4). Solve m - q*m = s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864048333.\nAnswer: 3, 59, 4881629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 136 = -19*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 4, -25, -42\/1039?\nAnswer: -42\/1039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63020296, -63020293, -63020290?\nAnswer: -63020287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (5 - 3 - 4). Suppose z*t - 4*t - 15 = 5*s, 0 = 2*s + 10. Let y(b) = 2*b**2 - 7*b. Let w be y(5). Calculate the highest common divisor of w and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1767982 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 4*f**2 + 5*f - 3. Let d be x(3). Let z be 4*d\/6 + 0. Factor -7*b + 2*b + 0*b + 11*b + z*b**2.\nAnswer: 2*b*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/9)\/(4\/6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p - 7. Let z(x) = -6*x + 6. Let g = 23 + -19. Give g*w(m) + 5*z(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 29. Let u(w) = -w + 4. Let f(k) = k - 1. What is p*f(j) - u(j)?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -x - 25. Let o be 2\/(-9) - x\/27. Let m be 0 - o\/(2 + -1). Which is the third biggest value? (a) 2\/9 (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 44 = -6*m, -m = 21*u - 24*u + 13 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 23*f. Let c be (-8)\/2 - (-2 - (-616)\/(-8)). Let d(r) = 48 + 27 - c + r**2. Calculate s(d(t)).\nAnswer: 23*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 3*d - 17 in the form r*d + h and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*a + v, v + 12 = -2*v. Suppose 3*d - 36 = d. Calculate the least common multiple of d and (-312)\/(-13)*a\/(-6).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 2*r + r)*(3*r - 3*r - 2*r**4) + (r**4 + 9 - 9)*((-2*r - r - r)*(-1 + 1 + 1) - 6*r + 2*r + 2*r).\nAnswer: -4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*k**3 - 66*k**3 - 62*k**3 - 63*k**3 + 281*k**3.\nAnswer: 23*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from wfgnkfh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*z - 89*z - 93*z - 92*z - 89*z - 87*z + 556*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k - 5*k + 18. Let g be (4 + -8 + -2)*k. Let i be (g\/(-4))\/(5\/(-10)). Solve 10 = 4*s + 3*u, 7*s - 4*s + 3*u = i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4558 is divided by 97?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 429*u**4 + 7102*u**2 - u - 415*u**4 + 2*u**3 - 7103*u**2 - 10 to a*u + p + y*u**2 + t*u**4 + m*u**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -1\/3 (c) 5 (d) 176\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3050474?\nAnswer: 2, 7, 109, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.9499837 - 2.95. Round f to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/3)\/((-730)\/120 - -6). Let d(q) = -f*q**2 + 5*q**2 + q**2 + 2*q**2. Let m(c) be the first derivative of -c**3 - 1. Determine d(m(t)).\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2868996191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 212?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4053745357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 6*x**2 - x - 8. What is v(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -4*o - f + 4, -3*o = 3*f + 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-8) + (-63)\/(-36)*-3. What is the closest to 0 in x, 1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-3 - 0) + (-10)\/(-2). Suppose -g*d + 47 + 103 = 0. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 20*v - 9*v + v.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**5\/20 + w**4\/3 + 2*w**2 - w. Let k(r) = 2 - 2*r**3 - r**3 + 2*r - 1 - 4*r. Let f be k(1). What is z(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55*d**3*z + 42*d**3 + d**2*z**2 - 2*d*z - 4 wrt z.\nAnswer: 55*d**3 + 2*d**2*z - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**10)**(-8)*(v*v**(1\/6))**34)**(3\/5) assuming v is positive.\nAnswer: v**(-121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q**3 - 4. Let u(z) = 19*z**3 + 13. Determine 17*p(w) + 6*u(w).\nAnswer: 12*w**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.5503 + 14135431.\nAnswer: 14135436.5503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 5*u + 3*o + 4, -31 = 5*u - 4*o. Let p = 9 + u. Suppose -57 = -p*s - s. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.038*-1.3.\nAnswer: -0.0494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1337569 + -0.3.\nAnswer: -1337569.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 64993.6615332 - 18?\nAnswer: 64975.6615332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1163896 is divided by 1346?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 837 and 34884?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2*h + 12 = 4*h, -2*z - 2*h + 6 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-200)\/(-30) - (-1)\/3 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-33 - (31 - 94))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c756a (base 14) to base 15.\nAnswer: -37004a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.08 take away 1119459?\nAnswer: -1119457.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 31456 (base 15) to base 8\nAnswer: 461107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.43 - 0.07. What is o rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4 + 11 + -11)*-6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from {p: 1, n: 1, g: 1, x: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2296\/3 - 766. Let z be -2 - 1\/(7\/(-16)). What is the nearest to z in -2\/11, x, -1\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2\/5 + 6794*f\/5 = 0. What is f?\nAnswer: 0, 6794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2901 > -27\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**4 - 3*l**4 + l**4 - 3*l**4 + 0*l + 0*l + (-2*l**4 + 2*l - 2*l)*(-1 - 4 + 1) + 0*l - l**4 + 0*l.\nAnswer: 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r. Let m be c(9). Let b = m - 7. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*n + 36 = 174, -5*n = 25. Suppose 8*s = 17 + 23. Suppose 1 = s*r - 19. What is the greatest common factor of b and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 2*f - 8*c, 0 = -1968*f + 1969*f + 2*c + 16 + 5 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (4\/48 - -4)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**4 - 5*c**3 - c**4 + 0*c**3 - c**4 - c**4 + 0*c**4 + (-3*c + 3*c + 2*c)*(-3*c**3 + 6*c**3 - c**3).\nAnswer: c**4 - 5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.6 (b) -5 (c) -0.07939\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1154 + -0.4.\nAnswer: 1153.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.4310783 to 2 dps.\nAnswer: -47.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -123*p**2 + 1. Let g be j(-1). Let t be (-4 + 3)\/((-1)\/4) + -114. Let v = t - g. What is the remainder when v is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 152, -4, 22.\nAnswer: -4, -3, 2, 22, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1373*o**2 + 2763 + 1382*o**2 - 5627*o**2 wrt o?\nAnswer: -11236*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/2 - (-928 - -907)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*v - 6*v. Find the third derivative of 2*w**6 - w**2 + 0*w**v - 3*w**2 wrt w.\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-171) - (-93)\/19. Let l be (2\/5)\/(1\/5). Suppose -2 = 2*j - w*b + 2, -2*j - l*b = -24. Solve -2*f = j + 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8c (base 16) in base 8?\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238.84*0.2.\nAnswer: 47.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.024 (c) -75983 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -560, -1097, -1632, -2165?\n\"Answer: k**2 - 540*k - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 - 20*g + 1. Let w(v) = 7*v**2 - 59*v + 3. Let t(r) = -7*c(r) + 2*w(r). What is the second derivative of t(q) wrt q?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(300) + sqrt(3) + -1 + -1 + (sqrt(3) - (sqrt(3) + -1))*5*-3.\nAnswer: -16 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d**3 - 53*d**2\/4 + d\/4 + 1 = 0. What is d?\nAnswer: -4\/5, -1\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19676828 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 1351084*f - 6755520.\nAnswer: 4*(f - 5)*(f + 337776)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - a - 8 + 1, -5*r - 4*a = 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*-2*3\/(-12). Suppose 5*q - 49 = -3*l, l - q = -f*l + 73. Let y = -13824 - -13826. What is the highest common factor of l and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 6603 + q - 6603.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 1\/48*m**5 - 60*m**2 + 0*m**3 + 0*m + 0*m**4 + 0 + 1\/480*m**6. Factor x(h).\nAnswer: h**2*(h + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -97*l + 1. Let n(t) be the first derivative of t**5\/60 - 55*t**2 - 98. Let o(j) be the second derivative of n(j). Calculate x(o(s)).\nAnswer: -97*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a millennium in years?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 0*p - 8 + 2\/3*p**3 + 0*p**2. Let s(r) = -10*r**2. What is s(h(j))?\nAnswer: -40*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 - 281\/5. Let p be (-2)\/(-1) - (12 + -12). Suppose -3*o - 2*t + 29 = -7*t, 2*o = -p*t - 2. Sort i, o, -1\/4.\nAnswer: -1\/4, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1191*f**3 - 6*f**2 - 21*f - 7. Let q(u) = 1190*u**3 - 5*u**2 - 18*u - 6. Calculate 7*q(o) - 6*t(o).\nAnswer: 1184*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64791187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6212 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 228*f**4 - 140*f**2 - f + 157853 with respect to f.\nAnswer: 912*f**3 - 280*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 8:46 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.21 * -12254.\nAnswer: -137367.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = g + 30, 8*b + 3*g - 10 = 3*b. Suppose -25 + 4 = -b*a + 4*l, -2*a - 2*l - 6 = 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -24.1. Let t = 0.8 + y. Let j = 0.3 + 0.7. Which is the biggest value? (a) -4 (b) t (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/6 - 4*1. Let j(z) = z**3 + 4*z**2 + 2*z - 2. Let a be j(b). Solve 5*l - a*l = 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/9 - (-8 - -8). What is the closest to 1 in -76, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63739 - 9876 - 8*n**3 + n + 10668.\nAnswer: -8*n**3 + n - 62947","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k - 1188. Let x(w) = 2*w + 1166. Let o(l) = -3*j(l) - 4*x(l). Let q(u) = -2*u. What is q(o(y))?\nAnswer: 4*y + 2200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -17 - -20 - 41?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 576 (c) 19 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4101873 to two dps.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 74*m + 976. Let x be u(-58). Let k = 22 - 10. What is the highest common factor of k and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2 + 4*c - 4. Let b be k(2). Suppose 0*p - p = -5*i + b, 5*p + 37 = 4*i. Solve -h = 5*y + 5, -3*h + 0 = 3*y + i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 6:38 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -13872*s**2 - 714*s + 714. Let a(h) = 97*h**2 + 5*h - 5. Calculate 714*a(g) + 5*w(g).\nAnswer: -102*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6352628454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-nine fifths of a micrometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2, 0, 1.\nAnswer: -13, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 23*r**2 + 107*r - 144. Calculate g(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 256\/768 - (-19652)\/(-6). Do n and -3275 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(-24)))\/y)\/((y\/y**(-27)*y)\/y)*(y**(-15))**(-6) assuming y is positive.\nAnswer: y**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93317414?\nAnswer: 2, 46658707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 600 and 78705825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 8*s - 3*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 239825524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24054 divided by -256?\nAnswer: -12027\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 3*k**2 + k + 2. Let l = 501 + -498. Determine j(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h**2 + 2*h**2 - 3*h**2 + 3*h**3)*(0*h - h + 4*h + (-5 + 2 + 2)*(2*h - 2*h - 2*h)) to s*h**4 + a + k*h**3 + t*h + i*h**2 and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 7. Let o(a) = 8*a - 53. Let z(j) = 6*n(j) - o(j). Let q(i) = 18*i**2. Calculate q(z(d)).\nAnswer: 72*d**2 - 792*d + 2178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 + -2)*(-1 - (-21)\/12). Suppose 0 = 2*i + 4*t - 94, -d*i = 5*t + 25 - 162. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -115*n**2\/2 - 231*n - 5333. Determine p(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 35 = -5*z + 5*n, -5*n + 15 = -z. Suppose 4*r - 5 + 29 = 0. Let d = r - -13. Solve 3*b - 2*w - 7 = -d*w, 0 = 5*b + z*w - 15 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 916471163 to the power of 1\/2, to the nearest integer?\nAnswer: 30273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51\/40 - 15\/8. Suppose 5*a + 6 = 4*x - 13, 3*x - 2*a - 16 = 0. Let o(u) = 5*u - 30. Let s be o(x). What is the nearest to s in d, -1, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34318 is divided by 3762?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 11:03 AM?\nAnswer: 635","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(11\/3)\/k))**(-4)\/(((k\/k**(8\/9)*k)\/k)\/k**(-10\/11)) assuming k is positive.\nAnswer: k**(559\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, 1\/8, 0.1, -0.1 in descending order.\nAnswer: 114, 1\/8, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19032, -24007, -28982, -33957?\n\"Answer: -4975*c - 14057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.334 and -0.3.\nAnswer: -0.4002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 48207.09 years?\nAnswer: 4820.709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2826*b - 1404. Let a(k) = 2*k - 12. Determine 351*a(p) - 3*c(p).\nAnswer: -7776*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2469*n. Let f(j) = 5359*j. Calculate g(f(r)).\nAnswer: -13231371*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-320)\/2880)\/((-2)\/(-12))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6*3 + 2. Solve -c = -4*c + t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 - -18)*(-3486)\/(-168)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 13*c**2 - 18*c + 57. Let d be w(14). Is d less than -8\/183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461757365 to the power of 1\/2, to the nearest integer?\nAnswer: 38233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 f, and 1 h when three letters picked without replacement from {h: 2, n: 2, t: 10, f: 6}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 10 - (2 - (-16 - (-17 - 15))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1493, 1557, 1729, 2063, 2613, 3433?\n\"Answer: 9*t**3 + t + 1483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -17*l - 24 - 3\/2*l**2 + 1\/2*l**3 = 0.\nAnswer: -3, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3*22\/(-792)*-24.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 11:26 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -33*m. Let t(d) be the third derivative of -5*d**4\/8 + d**3\/6 + 5*d**2 + 9*d - 3. What is t(k(s))?\nAnswer: 495*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 9:59 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/(n*((n\/((n**(2\/7)\/n)\/n)*n)\/n*n)\/n))\/n*n*n*n\/n**(-2))**(-44)*n**(2\/9)\/n**(-1\/40) assuming n is positive.\nAnswer: n**(-252817\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 98*w**3\/3 - 487396*w**2\/3 - 278536*w\/3 - 13264 = 0.\nAnswer: -2\/7, 4974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 6580, -1, 3188?\nAnswer: 6580","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b - 2. Let d(p) be the first derivative of -3*p - 1\/3*p**3 + 3 - 3\/2*p**2. Give -2*d(g) + 3*i(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1280.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 73?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-3 - 25\/(-5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 21. Let b = 9 - w. What is the closest to b in 0.4, -5, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-4)\/(-6)*-9. Let t be 2 + 2*21\/a. Is t*4 - (-2 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.8, 4, 2\/7, 0.4 in descending order.\nAnswer: 4, 0.8, 0.4, 2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39188 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102146 - 102126. Solve -15\/2 + 45\/4*y**3 - 155\/4*y - u*y**2 = 0 for y.\nAnswer: -1, -2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 267802, 268018, 268376, 268876, 269518, 270302, 271228?\n\"Answer: 71*k**2 + 3*k + 267728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -418.4 to the nearest 10.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 292 = -4*g, 0 = -3*i - 2*i + 15. Let q = -40 + g. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2 + 10 + 1 - 7*n + 3*n**2. Let z be q(6). Suppose 63*f - 60 = 61*f. Calculate the greatest common divisor of z and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(76)*1 + sqrt(76))\/sqrt(4).\nAnswer: -2 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 127*b - 615. Give h(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i**(1\/5))\/i**14)\/((i\/((i\/i**(-7\/6))\/i))\/(i*i*i**(-2\/33)\/i*i)) assuming i is positive.\nAnswer: i**(-2869\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 8:46 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 1131*a - 50223. What is z(44)?\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.7 (b) -8 (c) 3 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 484*p**3*s**3 - 464*p**2*s - 2*p**2 + 2*s**3 wrt p.\nAnswer: 2904*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6181907 is divided by 329.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 1296*y**2. Let l(n) = -2*n**2. What is l(j(g))?\nAnswer: -3359232*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -8. Let n = 7.3 - 7. Which is the second biggest value? (a) -0.2 (b) n (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 29*j**2 + 12*j - 10*j - 1 - 48*j**2. What is w(2)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 3*j**2 + 3*j + 3. What is b(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, j: 6, v: 1, e: 4}. Give prob of sequence vj.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.1 + 10. Let q = -0.8 - d. What is the nearest to -1 in q, 0.5, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + (1 - 3) + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y - 7. Determine s(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000048476 to seven decimal places.\nAnswer: -0.0000485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 2354?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33085*x + 786296 + 1901882 = -2572*x + 521755 for x.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/11 and 25\/1313.\nAnswer: 14443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwh when three letters picked without replacement from {w: 4, p: 3, h: 4}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6465 - 6453. Let r(z) = 16*z - 193. Calculate r(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-8)\/(-9))*5\/((-240)\/32).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9010 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 57\/12)*(-24)\/(-9). Let r = m + -14. Solve -4*i = 0, 4*i = 3*j - j + r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n = 5. Solve -n*f = -4*v + 25, v - 2 - 2 = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 124 = 5*p, 3*p + 4 - 64 = 3*f. Let u = -23 + p. Let o be 35996 - -4*(2 - u). What is o rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 + 29*z**2 - z - 194. What is l(14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.67742 rounded to two dps?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000147959 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12000 + 100000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrr when three letters picked without replacement from wreweewewerrwwww?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 106 = 5*i, -n = 1786*i - 1783*i - 35 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/98 and -61\/294.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13618 (base 9) to base 15\nAnswer: -2b1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (32\/192)\/((-2)\/(-24))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 10:12 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -86*k**3*x**3 - 2*k**3*x - 12*k**2*x**2 + 3*k**2*x + k*x - 5*x**3 wrt k?\nAnswer: -516*x**3 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74*-5*(-8)\/80*2\/2.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -249*b**3 - 46715*b**2 + 102022032*b + 2 wrt b.\nAnswer: -1494*b - 93430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - -5.889764619.\nAnswer: -18.110235381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - i + 11, 3*c + 0*i = -2*i + 8. What is the remainder when 5 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64805452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 1698.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -268\/1465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -30?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + 5 + sqrt(684) + -1)**2.\nAnswer: 84*sqrt(19) + 733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9336 less than 0.8496?\nAnswer: -9335.1504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.016398 + -614820413\nAnswer: -614820412.983602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v - 16. Let w be (-3424)\/(-160) + (0 - 3\/(-5)). Let f(x) = -x - 3. Calculate w*f(n) - 4*a(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d + 18 + 173 - 181.\nAnswer: 8*d + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 22. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 38 = 2. Suppose a - 27 = -i. Solve -2 = 2*b - 0*b, -i = 5*q - 2*b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 - 74. What is the remainder when 32 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubu when three letters picked without replacement from btubxuu.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/40 (b) 5 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2634\/180 - 3306\/228\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 5*b**4 - 1940*b**3 + 11520*b**2 - 22960*b + 15280 = 0.\nAnswer: 2, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z*z**(6\/5)\/z*z))\/((z*z**(5\/3)*z)\/z)*(z*z**(1\/10))\/(z\/z**(2\/17)))**(1\/37) assuming z is positive.\nAnswer: z**(-2371\/18870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 0. Suppose -n - 3 = -8. Suppose h + a - n = 0. Solve 0 = -x - x + h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 4*s - 21, 5*h + 2*s + s - 24 = 0. Suppose h*l + 6 = -p + 14, 4*p = -4*l + 16. Does 12 divide (4 - p\/3)*60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62765 by 67.\nAnswer: 62765\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**3\/7 + 246*c**2\/7 + 1851*c\/7 + 1602\/7 = 0 for c.\nAnswer: -6, -1, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222, 220, 218, 216, 214, 212?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/39 >= -2.31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -148, -299, -460, -631, -812, -1003, -1204?\n\"Answer: -5*g**2 - 136*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2120*l - 144991 + 144991 to r*l + j and give r.\nAnswer: -2120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(1 - -8) - (-6 - 0). Suppose -2*y - z = -31, 5*z - 25 + 0 = 0. Solve q*x = -3*s + x + y, 0 = 4*s - 3*x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 988645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 29964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - 9242.60907864?\nAnswer: -9262.60907864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 8*v**2 + 7*v + 3. Let c be p(-7). Suppose -c*t + 0*t + 255 = 0. Let d = t - 48. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1036428 and -15.\nAnswer: 15546420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -390, -499, -798, -1383, -2350, -3795, -5814?\n\"Answer: -16*u**3 + u**2 - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3005585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*t - 55 = -3*n, -4*n = 2*t - 56. Calculate the smallest common multiple of 16 and (-750)\/n*-3*(1 + 0).\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71871169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -17. Let s(j) = 19*j**2 + 2*j - 1. List the prime factors of s(h).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**2 + 5*w + 17. Let n(u) = -u**2 + 2*u + 8. Let i(p) = -5*n(p) + 2*x(p). What is i(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*y**(2\/23)))**(-41) assuming y is positive.\nAnswer: y**(1025\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**45)**48 assuming s is positive.\nAnswer: s**2160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2, -3\/7, 0.026 in descending order.\nAnswer: 0.5, 0.026, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 7 = 3*v, -22*v = 3*g - 24*v - 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 0 = 5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 11. Let q be 8\/28 + 3060\/70. Let f be q\/10 - (-6 - -10). Sort -1, t, f.\nAnswer: t, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -265 - -4?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*s = -103 - 147, -5*s + 150 = 3*p. Calculate the remainder when 63 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*d + 35*d = 0. Solve -4*y = -d*p - 3*p - 18, -5*p = y + 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -40575?\nAnswer: 40575.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 2437\nAnswer: -5\/2437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*d**5\/15 - 28*d**4\/15 + 2*d**3\/3 + 28*d**2\/15 + 2*d\/5 = 0. Calculate d.\nAnswer: -3\/2, -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 2*t - 8. Let h be b(-6). Let v be 6 + 0 + (h\/(-2) - -7). Solve 14 = -a + v*q, 2*a + 12 = -0*a + 2*q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 4:10 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21 + (-180)\/(-9))*0. Find o, given that -2\/9*o**2 + 16\/9*o + x = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c + 175. Let u(g) = 3*g + 178. Calculate 2*a(w) - 3*u(w).\nAnswer: -3*w - 184","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3166759 is divided by 527791?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 5*s + 14. What is the tens digit of r(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -215*d + 213*d + 12. Let s(t) = 2*t**3 + 2*t**2 + 5*t + 5. Let i be s(d). What is the highest common divisor of 98 and i?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3a5 (base 11) to base 3\nAnswer: -122201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 940 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63440 is divided by 1277.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1422871 and 8815530.\nAnswer: 7392659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 - 8*x - 4. Let g be v(-4). List the prime factors of g + -1 - -2 - -231.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -17462*m**2 + 3*m + 4. Determine a(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59373 divided by 19791.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-6)*y**4)\/((y\/((y*y\/y**(2\/9)*y)\/y))\/(y\/(y**(-1\/5)*y*y)*y)))**(-4\/15))**40 assuming y is positive.\nAnswer: y**(1472\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7582 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/8 + (-39)\/156. Put 27, m, -5 in decreasing order.\nAnswer: 27, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7622.255 rounded to the nearest 10?\nAnswer: 7620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 4 - (12 + 2457\/(-143)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-375)\/(-30))\/(35\/252) and 198.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -g. Suppose -3*o - 6 + 15 = g. Suppose 0 = -3*w - 3*j - 0*j + 9, 5*w + o*j = 11. Do w and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 12*o. Suppose w - 113 = -3*g, 5*w = 4*g - 57 - 81. Let m(c) = c**2 + 2*c - 11. Let q be m(6). Let i(z) = q + z**2 - g. Calculate i(j(l)).\nAnswer: 144*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxgsxxxsssxg. Give prob of sequence ssgx.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29868401 to the power of 1\/3, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-4)*-2 - 1. Suppose 13*n - 972 = -14*n. Let r = n - c. What is the remainder when r is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1992 divided by -4?\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.5749 - 1.\nAnswer: -10.5749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 69911771, 69911770, 69911769, 69911768, 69911767, 69911766?\n\"Answer: -c + 69911772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 - 8*u + 16. Determine f(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 613275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -487*x - 498*x = -976*x + 414 for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (300 + 3*j**2 - 300)*(3*j**3 - 4*j**3 + 3*j**3).\nAnswer: 6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-15))\/((378\/(-120))\/21).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/2*16\/6. Suppose 5*n + 19 - 184 = 0. Suppose 0 = 5*z - 3*t + t - n, 2*z - 30 = 5*t. Solve -b*v = -z*v + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11699126819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44659388 by -12.\nAnswer: -11164847\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 3. Let z = w - -4. What is the smallest value in 4, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 8:42 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2510279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/sqrt(44) + (sqrt(891)*1)**2 + -2)*6 + -2.\nAnswer: 3*sqrt(11) + 5332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 6*b - 11*b + 723 = 21*g, -172 = -2*b - 10*b - 4*g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 - 45. Suppose 0 = -0*j - m*j + 18. Solve -2*a + j = -0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 31*j**6\/30 - 11*j**3\/6 - 6*j. Find the second derivative of x(n) wrt n.\nAnswer: 372*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**36*y**(2\/15)*y**(2\/11) assuming y is positive.\nAnswer: y**(-5888\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8630244 (base 10) to base 8.\nAnswer: 40727744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-36) - 128999\/(-6). What is b rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/935*-11*-25*3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1388, -1413, -1448, -1499, -1572, -1673?\n\"Answer: -l**3 + l**2 - 21*l - 1367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.07, 3, -1\/5, 0.3, 4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -2. What is the third derivative of 5*d**2 + 3*d**4 - 7*d**w + 3*d**4 wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 562875699 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-12)\/(-15)*5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 12*w + 17*w - 120 = 0, 3*n + 3*w - 180 = 0. Calculate the greatest common factor of 345 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4 = h. Let d = 4 + -3.9. Let t = d - 0.2. What is the third biggest value in h, t, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbyyb. Give prob of picking 2 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59.5 - -60. Let z = 1.01 - 0.01. Which is the closest to z? (a) 2\/3 (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3139739\/479 >= -6556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 9:51 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tllvtttlttlttttll. Give prob of sequence tl.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 225245642 and 18?\nAnswer: 2027210778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/15 - (-52)\/10. What are the prime factors of 166\/8 - s\/(-20)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10 - (20 - 10))*-1. Solve x = 25*l - 15 - 85 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 = 5*u - 16, 10 = 2*u - 2*x. Suppose 5*j + 231 = l + 70, 308 = u*l + 4*j. Suppose 2*q - l = 206. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4684 is divided by 1986.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q + g = 39, 0 = -5*q - 3*g + 185. What is the smallest common multiple of q and 14?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 124 + 14*p - 124 + 2*p**4 + (7 + 6*p**3 - 7)*(2*p + 2 - 2) as j + c*p**3 + r*p**2 + y*p + f*p**4 and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-4 - (9 - 5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3620 - 7233 + 3613 + 3077*s)*(0*s - s + 2*s) as u*s**2 + x + d*s and give u.\nAnswer: 3077","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 5. Suppose -p + 2 = -5*o + 3*p, -3*o = -n*p + 6. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -336 - -368. Calculate the greatest common divisor of t and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 1\/6*x**4 + 5*x**2 + 0*x**3 + 0*x**5 + 0*x - 1\/20*x**6 + 0. What is the second derivative of i(c) wrt c?\nAnswer: -36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a century in months?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0 = -2*p - 2, s + 3 = -3*p. Let j be p - -1 - (-7)\/(-28). Let v = 5 + -5. Which is the second smallest value? (a) j (b) v (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -86 or 12315?\nAnswer: 12315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -3005?\nAnswer: 901.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.087 in 0, 3\/2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 335 or 337?\nAnswer: 335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1938, 2059, 2180?\n\"Answer: 121*p + 1817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3676690 is divided by 62315.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1105320 divided by -151.\nAnswer: 7320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11052513 and 276597?\nAnswer: 3789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13788\/118805 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5602291 divided by -6?\nAnswer: 5602291\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d + 0*d + 4*d)*(0*d - 10*d + 3*d) + 50*d**2 + 6*d**2 - 7*d**2 as o*d**2 + c*d + x and give o.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/254 and -25\/66?\nAnswer: 8382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 3*n - 1938 - 1954 + 3892.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.06 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**2 - 27*f + 3227. Give b(-32).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -308 (base 9) to base 5\nAnswer: -2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**4 - 916*q**3 - 11808*q**2 + 277056*q = 0.\nAnswer: -444, -26, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 9 + 3. Suppose 0*y - 4*y - 2*v + 44399994 = 0, 0 = -p*v - 9. Round y to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 14. Suppose 3*j = -4*n + 33, -6*j + j + m*n + 55 = 0. What is the units digit of (-2)\/(j\/(-3) + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, x: 1, c: 3}. What is prob of picking 4 k?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26\/49885 or 537?\nAnswer: -26\/49885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7944281, 15888561, 23832841, 31777121?\n\"Answer: 7944280*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/4 = 223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 985223410?\nAnswer: 2, 5, 641, 153701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/44 + (-3)\/4. Let i(p) = -2*p - 8. Let t be i(-6). Sort 0, t, x in decreasing order.\nAnswer: t, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -236637.903?\nAnswer: -236637.903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 5*y**6\/18 + 8*y**5 - 680*y**4\/3 + 17920*y**3\/9 - 8320*y**2 + 51200*y\/3 - 151. Factor x(b).\nAnswer: 5*(b - 4)**4*(b + 40)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, -3\/4, 107, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*v - 4*v**3 + 22*v - 53*v + (6*v**2 + 9*v**2 - 3*v**2)*(3*v + 3*v - 3*v).\nAnswer: 32*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740 is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 49*q**3 - 3*q**2 + 3*q + 3. Let m(t) = 736*t**3 - 46*t**2 + 46*t + 46. Determine -3*m(p) + 46*z(p).\nAnswer: 46*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 5*m + 47 = 0, -4*m = -35*f + 33*f - 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -184 + 360. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 56548, 113194, 169840, 226486, 283132, 339778?\n\"Answer: 56646*f - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (18\/4)\/(12\/24) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 4:10 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31.99 and 180.\nAnswer: -5758.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (7 - -10 - 58 - 7).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6*c + 2*c**2 - 3*c**2 - c**3 - 4*c**2. Let g(a) = -a**2 - 6*a - 6. Let s be g(-6). Let i be h(s). Let u(n) = n**2 + n + 8. Calculate u(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39574*u**3 + 90*u**2 - 1052*u - 3972 wrt u.\nAnswer: 237444*u + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**4 + 41*k**4 - k**2 - 41*k**4 + k + 3*k**3 + 3 to the form g*k**2 + q + b*k + d*k**4 + y*k**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*t**2 - 4*t**2 - 49*t**5 + 12*t**3 + 9116*t - 9105*t wrt t.\nAnswer: -2940*t**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 11 + 6 + (-2 - 9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 24 = -6. Let c(h) = -5*h**3 - 7*h**2 - 14*h - 7. Let t(l) = -6*l**3 - 7*l**2 - 15*l - 7. Let n(w) = j*t(w) - 7*c(w). Does 29 divide n(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 398*p = 399*p - 2*v - 19, p + 9*v + 91 = 0. Let i(j) = -1. Suppose 7*s = 2*s + 30. Let r(w) = w - 2. What is p*r(m) + s*i(m)?\nAnswer: -m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k + 15 + 140 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -79366 (b) 4\/7 (c) 60 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhhq when four letters picked without replacement from eehq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14\/363 or 0?\nAnswer: 14\/363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**6\/2 + 5*g**3\/3 + 2. Find the third derivative of u(s) wrt s.\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6049753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l. Let y(s) = -s + 12. Let d be y(9). Let t be -2 - (153\/d - 2\/2). Let b be (-6)\/21 - t\/(-14). What is i(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + (sqrt(190) - (sqrt(190)*2 - sqrt(190))) - sqrt(190))\/sqrt(5) + sqrt(380)\/(sqrt(40)\/sqrt(4) + sqrt(10)))\/((-2*sqrt(160))\/sqrt(5))*-6.\nAnswer: 3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*b**2 - 2*b + 2*b + 252*b**3 + 0*b - 3*b**2 wrt b?\nAnswer: 1512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 952 - 947. Which is the second biggest value? (a) x (b) 6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2 - 30*k + 32 = 0. What is k?\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -229 + 200*r**3 + r + 133 - 69 - r wrt r.\nAnswer: 600*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + 1 + 2 + sqrt(343) + -5*(sqrt(343) + 1) + sqrt(343))*-5 + (sqrt(343)*-1 + 5 + -1 + sqrt(343) + 4)*5)**2.\nAnswer: 7000*sqrt(7) + 36800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*s - 9, -6 = 5*s + 4*f - 21. Suppose 0 = -3*d - i + 16, 0*i = s*d - 3*i. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 6:44 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216 divided by 24.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4235*q - 8579. Give b(2).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - f + 2. Let r = 4 + -4. Let i be s(r). Is (1\/2)\/(i\/100) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-45))\/((-8*(-2)\/56)\/((-15)\/(-40)))?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39064541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26018532 + -37?\nAnswer: 26018484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -27. Suppose -v = -a + 8, -2*a + 46 = j*a + 3*v. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v. Let a(d) = d - 4. Give a(z(t)).\nAnswer: -4*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-17 - 0) + 19 - (-10 + 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29613898.\nAnswer: 2, 17, 870997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 20 = -5*h. Find the third derivative of 4 - d**3 - h + 9*d**2 + 14*d**3 wrt d.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 42. What is the smallest common multiple of 11 and 7*(b\/(-14))\/(-3)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425 = -5*f + 15*y + 13*y - 10*y, 5*f + 31*y + 150 = 26*y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(120\/(-18)))\/((55188\/(-72))\/(-73))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -284 + -41b?\nAnswer: -6a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10818483*l**2 + 10818483*l**2 + l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 4*u - 24, -36*a + 32*a + 3*u - 40 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -9. Let o = -21.18 + 3.68. Let t = o + 16.5. Which is the nearest to t? (a) -0.1 (b) s (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/2482370 and -143\/135402?\nAnswer: 7447110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (83 - (127 + -110)) + -188?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 4*p - 2*l, 3*p - 45 - 18 = 3*l. Let w be 6\/p + (1542\/963 - 2). Let d = -465\/10379 - w. Which is bigger: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/36*(-2 + 6). Let d = -147 + 159.3. Let q = d + -12. Put u, -0.4, q in ascending order.\nAnswer: u, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from brbbjjbbbrrbjjbb. Give prob of sequence rrjr.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 - p**3 - 141*p + 139*p + 2*p**3 - p + p + 3*p**3 - 3*p**3 + 2*p**3 + (4*p + 0*p - 6*p)*(2 + p**2 - 2) + p**3 - 3*p**3 + p**3.\nAnswer: -p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72926181*0.5.\nAnswer: 36463090.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*w - 994 - 5531 = 643 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 475 divide 7208680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ca9 (base 15) in base 10?\nAnswer: -6234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) 4\/7 (c) 14 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/510403 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(121) + 5*sqrt(121)*-1)\/(sqrt(44)\/sqrt(4)*3) - (sqrt(1100)*-1 + sqrt(99)\/sqrt(144) + -3)))**2.\nAnswer: 707*sqrt(11)\/6 + 119267\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + j - 3*j)*(2*j - 3*j - j) - 2*j**2 - j + j + 6*j**2 - 2*j**2 - 2*j**2 + (-3 - 2 + 2)*(j**2 + 0*j**2 + j**2) - 6*j**2 - 12*j**2 + 5*j**2.\nAnswer: -21*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200922458.\nAnswer: 2, 11, 9132839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -d + v + 241, -2 = 2*v. What is the remainder when d is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -10. Let z be 0 - 1 - u\/(-5). Which is the closest to 0? (a) z (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -15. Let r = 4 - z. What is the biggest value in r, 1\/6, -5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 + 13*g**3 + 2*g**3 + (4*g**3 - 2*g**3 - 3*g**3)*(-2 + 3 + 0) + 4*g**3 - 4*g**3 + g**3 + (-7*g + 7*g + 6*g**2)*(-g + 1 - 1) - g - 2*g**3 + g.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 + 32*h - 29*h + h**2 + 4*h**3 - 2 to x + p*h**2 + c*h + v*h**3 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 10*n**2 + 13*n + 45. What is the remainder when 55 is divided by i(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2 - 31*a + 11. Let r(p) = 4*p**2 + 62*p - 24. What is 13*j(n) + 6*r(n)?\nAnswer: -2*n**2 - 31*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90 + -111 + 27 + -2 - -81.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169868571.\nAnswer: 3, 317, 178621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.0045781175 times -1\nAnswer: -0.0045781175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 26 (b) -0.4 (c) 3 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = q - 10, c - q + 41 - 33 = -0*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 259485 and 240?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41a (base 16) to base 10.\nAnswer: -1050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2291*w - 2329*w - 456 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6\/24320029?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 37440934 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -27, -103, -219, -363, -523, -687, -843?\n\"Answer: 2*d**3 - 32*d**2 + 6*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15, 10\/8887, -0.1?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3774780 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8066621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 10:09 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -42767, -42781, -42795, -42809, -42823?\n\"Answer: -14*x - 42753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -36*x**3 + x**2 + x + 1. Let n be s(-1). Suppose -v + 5*q = -n, -4*v - 3*q - 8 = -41. Let j = -1308 + 1312. Solve 0 = -2*z + j - v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 1)*(-3 + (-7)\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 1:44 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -6, 4, 11105, 16 in ascending order.\nAnswer: -6, 2, 4, 5, 16, 11105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1864*f + 2839. List the prime factors of i(5).\nAnswer: 3, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(15))\/sqrt(5) - (5*sqrt(3)*-1 - sqrt(3))**2) + ((sqrt(108)*-2 + sqrt(108))**2 - (-5*sqrt(27) - sqrt(3))).\nAnswer: 17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 60 - 54 = 4*a, 0 = a + 5*i + 21 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2723923, -2724190, -2724457?\n\"Answer: -267*c - 2723656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 6\/10 + ((-2060)\/(-25) - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2. Let q = -20 - -20. Let m(f) be the first derivative of 0*f**2 + 2\/3*f**3 - 2 + q*f. Calculate m(b(y)).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -399503 (base 14) to base 3.\nAnswer: -10201211202122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 527 by 368989.\nAnswer: 527\/368989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 + 82 - 37) + (1 + 0 - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42 and 2.7?\nAnswer: 113.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 0*c**2 + 1\/8*c**6 + 3\/4*c**5 + 0*c + c**3 + 34 + 3\/2*c**4. Let k(a) = 0. What is a?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 28 = -24. Let s be (-6)\/(-15) + n\/10. Calculate the smallest common multiple of 20 and 3 + s - 0\/(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -564 divided by -163?\nAnswer: 564\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-18))\/(216\/(-2916))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 2*o - 2 + 10, -5*d + 20 = -o. Let n(y) = 23*y**2 - 9*y - 1. Is n(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-14\/5)\/h**(1\/20)*(h**(-1\/14))**30 assuming h is positive.\nAnswer: h**(-699\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22731.\nAnswer: 3, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3590 and 20?\nAnswer: 7180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.5 - -5.005. Round n to 2 dps.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3) + 3\/9. Let u = 74 - 77. Which is the nearest to w? (a) u (b) -0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 - -4 - (552 + -577 + (0 - 15))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**4\/4 + 4*o**3\/3 - 5*o**2\/2 - 2*o - 2. Let j be z(-5). What is the lowest common multiple of 6*(-2)\/(j*2) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b557b (base 15) to base 14.\nAnswer: 10d78b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1004423 - 4?\nAnswer: 1004414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(7\/3))**(1\/2)*(w*w**(-5)\/w*w)**(9\/5) assuming w is positive.\nAnswer: w**(-181\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o + d - 2 = 0, 5*o - 5*d - 30 = 0. Suppose -3*t - 5*x = -3*x - 85, 2*t + o*x = 60. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - 32\/(-17) - 0. Let n(j) = -7*j**2 + 384*j - 329. Let k be n(54). Which is the nearest to 0.1? (a) k (b) -0.1 (c) 3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 318 + -303. Suppose -9*s + 6*s = -z. Let 0 + 8\/7*x**2 - 6\/7*x**s + 4\/7*x**3 - 8\/7*x**4 + 2\/7*x = 0. Calculate x.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (341 + 29 + 36)*(2*n - 2*n - n**4 - n) + (0*n**2 + 0*n**2 + n**3)*(n - n + n) to the form x*n**3 + q*n**2 + g + s*n + u*n**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 15) in base 4?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 265 + -259. Let l = -288 - -303. Solve b = q*b - l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4865)\/(-252) - (-3)\/(-1). Let h = -63\/4 + n. Which is the smallest value? (a) h (b) -1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1790504386 to the power of 1\/5, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 874296.\nAnswer: 2, 3, 12143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10310 + -5348. What are the prime factors of d?\nAnswer: 2, 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 11*d**3 - d**2 + d. Let m be z(1). Solve -3*u + m = -n + 2*u, 3*u = 2*n + 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 195 or 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = 2 - 30 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243, 245, 247, 249, 251, 253?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38976 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/21)\/((-4)\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-200)\/(-300)*(-78)\/(-208)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15012 + 0?\nAnswer: -15012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 25 + (10 + 182\/(-13))*4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -150, 2, 4, 6, 14378, 5, -4 in ascending order.\nAnswer: -150, -4, 2, 4, 5, 6, 14378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 62660.71575.\nAnswer: 62660.51575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*q - 22, 250 = 2*c + 4*q. Suppose 5*l + 119 = 4*b, c = 5*b + 6*l - l. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + -2*(2 - 1). Let j(x) = -4*x**2 + x**2 - k - 3*x**2 + 7*x**2 - 6*x. Let v = -4 - -9. Determine j(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*v = -20, -3*i + 0*v - 3*v = -42. Calculate the remainder when 18 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 5 + 7 + 2 - 200*x**3.\nAnswer: -200*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -1. Let z(l) = -4*l**2 + 2. Let o(a) = k(a) + z(a). Let p(x) be the first derivative of o(x). Let m(r) = -3*r**2. Give p(m(i)).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, u: 7}. What is prob of picking 2 g and 1 u?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18124 and 62252.\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 17.5. Which is the closest to 1? (a) 5 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*(5 + ((5 + -3*sqrt(1216))**2 - sqrt(1216) - (sqrt(1216) + -4 + -2*sqrt(1216)))).\nAnswer: -480*sqrt(19) + 21957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -455*t - 1352. Let r(b) = 225*b + 676. Let l(x) = -4*f(x) - 9*r(x). Differentiate l(j) wrt j.\nAnswer: -205","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 477 = 8*f. Let n = f + -143. Solve 0 = 5*h + 4*k + 37, -5*h - 24 = 5*k + n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3334501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1954\/9829 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1256046, 1256106, 1256208, 1256352, 1256538?\nAnswer: 1256766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 306 and 816.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -59 - 31. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = 5*f - 7*t + 3*t, 2*t = -4*f - 100. Let u be f\/1 + -1*2\/2. Is -26 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/93)\/((-4)\/(-12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -1\/100*b**5 + 0 + 0*b**4 + 7*b + 1\/210*b**7 + 0*b**2 + 0*b**6 + 0*b**3. Factor d(r).\nAnswer: r**3*(r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 6\/10525 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/3, 0, -2, 8, -2\/9, 0.8, 1584?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/3078 and 10\/27.\nAnswer: 3078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*5276\nAnswer: 2638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1586523 days to seconds.\nAnswer: 13707.55872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1160862668?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3*v = -8*d + 12, 4*d - 20 = 5*v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 7:28 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1374*c + 484 - 737*c**3 - 434 + 1799 + 1374*c wrt c.\nAnswer: -2211*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - 0)*(-1)\/(-3). Is 1\/m*-2 + 258 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 + -16 - (-6 - -2) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/112 and -59\/12.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 2 - (8 + -3)) + 16. Suppose 0 = v*m - 354 + 365. Let r(d) = 2*d - 3 + 2 + 2*d**2 + 9*d**3 + 2. Determine r(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**6\/15 - p**5\/12 - p**4\/12 + 4*p**2. Is a(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (-1*sqrt(228) + sqrt(228))\/sqrt(12)) + 4 + (sqrt(57)\/sqrt(3)*5 - 2*sqrt(19)*-6) + 5*-1*(-2 + sqrt(76))*-3)**2.\nAnswer: -2496*sqrt(19) + 44452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 6)\/(-4) + 34. Suppose 2*d = -5*t + f, d - 2*t + 80 = 6*d. Solve -4*s + d = 3*o - 5*o, 0 = o + 3*s - 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118\/460137 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18130960469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -315.09 + 310. Let d = j + 0.09. Which is the smallest value? (a) -1 (b) -0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 11258.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266108*f**3 - 198*f**2 + 198*f**2 + 266115*f**3.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 2*w**2 - w + 1. Let z be o(0). Let f = -4\/3077 - -267739\/30770. Find the common denominator of (z + 22)*(-18)\/108 - 1 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v - 19. Let x be 138\/(-12) + (-6)\/4. Does 11 divide z(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 16*z + 3. Let v(o) = 8*o + 2. Suppose -3*m + 12 = 47*c - 46*c, -14 = -m + 3*c. Determine m*v(f) - 3*x(f).\nAnswer: -8*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 o when four letters picked without replacement from uossorrubsssuosu.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -134, -160, -208, -284?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.8 (b) -0.03 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45987996*a**6 - 91*a**2 - 5*a + 282.\nAnswer: 5518559520*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1588*j - 2770*j - 715*j.\nAnswer: -5073*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 301892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 3*d + 4*b + b, 5*d + 4*b = 93. What is the remainder when 48 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320*l**2 - 588*l**2 + 266*l**2 + 2 - 2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = a + 22*k - 17*k, -3*a - k = -196. Suppose 3*b - 85 = -2*b. Calculate the remainder when a is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -680300 - -679851.429. Let t = o + 679.46. Let b = t + -231. What is b rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + 7.5. Let k = n + -11. Let u = -1.2 - -0.2. Sort 1\/2, k, u.\nAnswer: k, u, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*p - s + 2 = 0, 0 = -p - s + 1. Solve 0 = -5*a - 9 - p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -4*y - 2*v, y - 6*y = 2*v - 122. Let x = y - 17. What is the smallest common multiple of x and 1\/1*2 + 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5195016?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2750 a factor of 1296069167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptgevvt. Give prob of sequence vv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 7:06 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 627281441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + -23146*(-8 - -6). What is r rounded to the nearest 1000?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 1\/19894, 2\/15529?\nAnswer: 2\/15529","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -9*w + 23. Suppose i + r - 7 = -r, -w = -5*i + 2*r. Let q be 2048\/i - (-6)\/15. Round q to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3373 * 9.\nAnswer: 3.0357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 480\/1092 + 4\/(-26).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*z**3 - 64*z**3 - 23*z**3 + (1133*z**2 - 393*z**2 + 537*z**2 + 222*z**2)*(3*z + 0*z - z).\nAnswer: 2937*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.001 - 0.029. What is the closest to f in -2\/15, -1\/2, 4\/3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 96 = 52. What is the remainder when z is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 159998929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10806, 21663, 32490, 43269, 53982, 64611, 75138, 85545?\nAnswer: 95814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/11 in 124, -641, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*w + 5*p = -99*w - 16, -24 = 4*w + 4*p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-5453)\/840 + 4 + 1452\/(-90) + 16\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**5 - 810*z**4 + 89735*z**3 + 575170*z**2 - 840336*z - 1324960 = 0. Calculate z.\nAnswer: -7, -1, 2, 140, 676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 7*n**6\/30 + 5*n**5\/4 - n**4\/6 - 13*n**3\/2 - 367*n + 2. Find the third derivative of y(b) wrt b.\nAnswer: 168*b + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -5*s + 40, s + 501 = 27*a + 613 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/5))\/h**(-1))\/(((h*h**2\/h)\/h*h)\/h**3) assuming h is positive.\nAnswer: h**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10 + 10 - 36\/1. Let b be -1 + 5 - (r - -20). Solve -4*o = 0, 3*v = -2*v - 4*o + b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000038225 to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1478241429?\nAnswer: 3, 7, 41, 1716889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/3 - 50*r**3\/3 + 233*r**2\/3 - 364*r\/3 + 60.\nAnswer: (r - 45)*(r - 2)**2*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, z: 4, x: 3}. What is prob of picking 1 l and 2 z?\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109265867 is divided by 1765.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42028 by -28.\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14167140 divided by -23036\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91\/60 + 11\/12. What is the closest to 0 in -0.5, n, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 315 - 294. Solve 6 = -2*b, -4*x - 3*b - 30 + l = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 12*o - 322*o**3 + 5*o + 3*o + 296*o**3.\nAnswer: -26*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2541854927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 1197*d**5\/20 - 967*d**3\/3 - 5*d**2 - 116. Differentiate m(y) with respect to y.\nAnswer: 7182*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*j + 17*j**2 - 17*j**2 - 3*j**4 + 2*j**4 wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3\/8 - 32*d**2 - 16637*d\/8 - 16129\/4 = 0. What is d?\nAnswer: -127, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -345, -726, -1267, -1968, -2829?\nAnswer: -3850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 118907543047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -338 - -347. Solve 0 = r - 2*v + 4, -4*r - v = 7 + b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 + 59. Let j = -0.2 + -0.8. What is the smallest value in j, -4\/5, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 0*x + x + 2*x**2 + 4 - 2. Let w be h(2). Solve 2*q + 4*r + w = 0, 0*r + 12 = -4*q - 2*r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16144*w**5 - 28*w**2 - 27*w?\nAnswer: -968640*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 6 = -3*n. Suppose 0 = 3*i - 5*u + 2 - 3, 0 = i + 3*u - 5. What is the second derivative of -j**i - 4*j - 2*j**n + 5*j**2 + 0*j**2 wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 16, 0 in descending order.\nAnswer: 16, 0, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-586*m + 1197*m - 602*m - 226 + 1280)*(-1 + m**2 + 1) to h*m**3 + d + z*m**2 + y*m and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -14.461 times -2\nAnswer: 28.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of s**5\/10 + s**2\/2 - 6. Let j(o) be the second derivative of c(o). Let m(h) = -4*h. Determine m(j(n)).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (i + i - 5*i)*(2 - 1 - 2)*(-21*i**2 + 21*i**2 - 7*i**2) as r*i**2 + s + h*i + v*i**3 and give v.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5412293852 to the nearest integer?\nAnswer: 1756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-1*1*-5. Let o = -7.5 + 7.481. Let p = o - -0.519. Which is the third biggest value? (a) p (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18809?\nAnswer: 7, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*x - 282*x + 456 = -191*x - 4224 for x.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 169, 255, 341, 427, 513?\nAnswer: 599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from {j: 4, c: 3, f: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 14\/(-14) + (1 - -17)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/117 - 365\/819. What is the fourth smallest value in 5, 2\/17, o, -0.09?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 - 2*w + 19. Let c(r) = 4*r**2 - 2*r + 20. Let j(x) = -4*c(x) + 5*o(x). Let l be j(-5). Let t = 4 - 4. Is l less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51799738 - -6215854061\/120. Let f = h - -4756\/5. What is the common denominator of -77\/12 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 13, s: 2, z: 3, u: 1}. What is prob of sequence hhu?\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 212 + -210.93. Let f = -1 + y. What is f rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-256)*13682\/(-184707)?\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = 2*b - r + 8, 3*r = 3*b + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -146 divided by 13311\nAnswer: -146\/13311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -4, 13, 4.\nAnswer: -4, 4, 13, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 164? (a) 0 (b) 0.2 (c) -120\/13 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 v when three letters picked without replacement from xzbmvbx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 695*i + 18*i**2 + 1 - 339*i - 455*i.\nAnswer: 18*i**2 - 99*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 6*o = -7*o, 3*o - 8 = -5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -258256 by 4.\nAnswer: -64564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 113\/544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - g - 426613 = -4*c, -2*c = -5*g + 711039. Let d = g + 13793. Round d to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.12, 0, -16\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - 30. Suppose -3*f = 2*u - 0*f + h, 2*f = 0. Let y = u + 9. Solve -2*m - 4*d - 8 = 0, -5*m - 7*d - 5 = -y*d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123642, -123587, -123550, -123531?\nAnswer: -123530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -36007.\nAnswer: 2\/36007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64589\/3 - 21528. Let g(q) be the first derivative of -o*q**3 + 3 - 5*q + 0*q**2. What is the first derivative of g(l) wrt l?\nAnswer: -10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t**2 - 29348*t - 82960 = 0. Calculate t.\nAnswer: -1220, -17\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 62332 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: Collect the terms in 5*f**3 - 6*f - 2*f - 3*f**3.\nAnswer: 2*f**3 - 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 60716.618 - 4\nAnswer: 60712.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -50. Let a = p - -29.0000049. What is a rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20210 (base 3) to base 8\nAnswer: -267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*j + 45*j + 3*y + 90, 2*y = 10. What are the prime factors of ((-147)\/(-15))\/(((-42)\/j)\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/78 and -37\/134238?\nAnswer: 134238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -163122*h**4 + 4*h - 297 wrt h?\nAnswer: -1957464*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k**(4\/19)*k))\/k)\/(k*k**(-11))*k**25\/k*k*k**(-2\/7) assuming k is positive.\nAnswer: k**(4456\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1942816 and 164372?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + 2*-2*sqrt(17).\nAnswer: -4*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49 and 21?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 + (-14 - (-13 + -25))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27, -4, 31, 84, 161?\n\"Answer: o**3 + 16*o - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-34)\/(-2)*(-1 - -2) + -3. What are the prime factors of (-1 + -39)*((-35)\/c + 2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-2)*(-1 + -8). Let h(w) = -10*w - 1. Let t be h(-1). Let v be 3\/f + 111\/t. Solve -j - 5*g = v - 31, -j - 2 = -2*g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.5 - -7. Suppose -u + 4*u + 19*u = -1298. Which is the third biggest value? (a) -2 (b) u (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - q**2 + q + 6. Let m be d(0). Find the third derivative of -9*i**2 - 28*i**3 - 6*i - 22*i**2 + m*i wrt i.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 27*b - 17*b. Solve b*c = 4*j - 22, -c + 5 = 4*j - 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 439239744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40880 divided by 140.\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*v**4 - 45*v**3 - 120*v**2 + 5*v + 30 = 0 for v.\nAnswer: -1, -3\/5, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27195, -23376, -19557, -15738, -11919?\nAnswer: -8100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**28*y**(-4\/5)\/y**(-2\/25) assuming y is positive.\nAnswer: y**(-718\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7565 - -6906.3. What is j rounded to the nearest ten?\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 60294*z - 1326468. Give k(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 7. Let j be z(12). Sort 3, -1, j.\nAnswer: -1, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8869*s*v + 30*s + 77*v - 1324 with respect to s.\nAnswer: 8869*v + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, -598, -1, -8\/29?\nAnswer: -598","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a = -7*a - 48. Let b(f) = f**2 - 10*f + 19. Let d be b(a). Let z = d + 37. What is the greatest common divisor of 120 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5 + -1*sqrt(343))**2*6 - (sqrt(343) + -3 + sqrt(343) + 2 - (sqrt(343) - (4*sqrt(343) + 2)))**2.\nAnswer: -6366 + 350*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000099824 to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - u - 324 = 0, 3*u = -18*g + 23*g - 540. Calculate the highest common factor of g and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2007011 is divided by 1693.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 0*k - 2*m + 721 - 715, m - 6 = -m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 22. Let a(k) be the first derivative of -1 + 1\/2*k**4 - k**3 + 0*k + 0*k**y. Determine a(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73956187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 2*p**2 + 4*p + 1. Let y be z(3). Solve -y*c - 5 = 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e2ca (base 15) to base 8.\nAnswer: -135422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*t**4 + 2949*t**3 + 9240*t**2 + 1908*t = 0. Calculate t.\nAnswer: -106, -3, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -122, -143, -164, -185, -206?\n\"Answer: -21*v - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence az when two letters picked without replacement from zazq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 - 529625.\nAnswer: -529625.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 12*p - 37. Let u be g(-4). Let o = -4 - u. Which is the closest to 1? (a) -3 (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -89, -177, -263, -347?\n\"Answer: b**2 - 91*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*f = 0. Let b = 2 - 7. Sort f, b, 4 in descending order.\nAnswer: 4, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 11. Let l = q - -1. Which is the biggest value? (a) 2 (b) l (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + p - 2*p = 0, 3*r = -p + 10. Suppose 0*l + r*l = 4. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 2*t + 2. Let z be o(1). Let d be 3\/z + 0 + -55. Let w = 97 + d. Calculate the remainder when w is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-33))\/(286\/(-9389237)*-127).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 177 - 140*k - 349 + 171 in the form s + i*k and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.53 - -0.373. Let y = o + 0.16. Let f = y - 0.002947. What is f rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1219 + -1221. Sort r, 2\/9, -25.\nAnswer: -25, r, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8412*h*p**5*v + 4*h*p**3*v - 8*h*p**2 + 3967*v wrt p?\nAnswer: -504720*h*p**2*v + 24*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2495 is divided by 2473.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -11*z - 1. Let m(q) = q. Suppose 0 = -289*x + 297 - 875. Give x*t(o) - 14*m(o).\nAnswer: 8*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, p: 3, a: 2, o: 1, x: 2, u: 2}. Give prob of picking 1 p, 1 u, 1 o, and 1 a.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*(408\/(-96) - (1*-8 - -3)). Solve 3*s + h*a - a = -2, 0 = 2*s + 3*a + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/2 - (-20 + 1). Let c = s + -7. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 130101.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = f - 2*q, 2*f + 2*q + 2*q + 6 = 0. Let y = f - -13. Calculate the greatest common factor of y and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/4)\/(2\/20). Suppose 8 - h = -2*y - p, -2*y - 4*p + 8 = 0. What is the smallest common multiple of y and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 11:57 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6684636818?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 + 5 - 159)*(13*o**3 + 28*o**3 - 13*o**3).\nAnswer: -5488*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56775 and 421050.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 7*k - 15. Determine d(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0*n + 2*n + 1)*(-48*n**2 - 2 + 5*n**4 + 48*n**2).\nAnswer: 5*n**5 + 5*n**4 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20715 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10108 + 10100.851. Let m = z + 0.149. Suppose 3*h = 5*s + 7, 3*s + 8 = -s. Which is the smallest value? (a) h (b) 1\/5 (c) m (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -531.8 and -1.452?\nAnswer: 772.1736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**3\/5 + 3603*y**2\/5 - 5052*y + 7220 = 0.\nAnswer: -3610, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q + 4. Suppose -3 = -3*w + b + 2, -2*w = b - 10. Is 6 a factor of t(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 40510*n - 121485.\nAnswer: -5*(n + 3)*(n + 8099)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13712115 - -3?\nAnswer: -13712112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**5 - 3*u**4 + 15*u**3 + 15*u**2 - 12*u - 12 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 7:11 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 + 0.08. Let r = m + -0.04. Let i = r + 2.02. What is the third biggest value in -0.2, 3\/2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**3 - 55*l**2 - 1670*l - 7280 = 0. What is l?\nAnswer: -8, -7, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -0*w + 80. Let t be (-10)\/15 + (-22)\/(-6). Solve t*b + w = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2826, -20604, -68852, -162804, -317694, -548756?\nAnswer: -871224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/27)\/(5*2\/(-220)).\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + u**2 + 20. Let p be c(0). Let r be ((-605)\/33)\/(2\/(-12))*2. What is the greatest common divisor of p and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40250293?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p - 3*p + 4*p + p - 2*p + 0*p + p + 1 - 1 + (-3 + 3 - 2*p)*(2 + 2 - 2) + 1 + p - 1 + 2*p + p - 2*p + 318*p - 90*p + 592*p.\nAnswer: 817*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1.6, -2\/9, -1\/5?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34053a + -a?\nAnswer: -340548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001184475 to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 i when three letters picked without replacement from ijxixxrixjxv.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 912.7205t in nanograms?\nAnswer: 912720500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/4 - 17\/34. Suppose c = -x + 6. Suppose -o - 2*q = -1, 3*o - q - 13 = x*q. Solve -5*v = -5, -9 = 3*m + o*v + 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86000000 rounded to the nearest one million?\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 44 = 10*j, -15*j + 22*j + 47 = 4*a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 2*a = 0, -6*g + 0 = -5*a - 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 - 4*t**2 + 5*t + 7. Let u(l) = 2*l**3 - 3*l**2 + 4*l + 6. Let y = 1959 - 1964. Calculate y*s(g) + 6*u(g).\nAnswer: 2*g**3 + 2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3051, -4484, -5917, -7350, -8783, -10216?\nAnswer: -11649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3958 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a day in hours?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2957 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -13. Let d = x - -0.94. Round d to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12799864 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -320000401 (base 5) in base 11?\nAnswer: -827a09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 17 - 26*p - 15 - p. Let o(d) = -1. Let h(t) = -j(t) - 6*o(t). What is the units digit of h(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 506978 to the power of 1\/2, to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - x - 489, 0 = 2*x + 3*x. List the prime factors of t.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(500) + -2 + sqrt(500) - sqrt(500)) + -4 + -4 + 2*sqrt(500) + sqrt(500) + (sqrt(500) - 3*(-2 + sqrt(500))) + 3 + -3)**2.\nAnswer: -480*sqrt(5) + 18016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-7) - 17\/((-2142)\/(-1170))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2026039 is divided by 1013001?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**3 - 120025*q**2 + 1919195*q - 1799175 = 0. What is q?\nAnswer: 1, 15, 23989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -29*k + 277. Is 46 a factor of v(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2618, -5208, -7768, -10304, -12822, -15328, -17828, -20328?\nAnswer: -22834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**12\/((x**(2\/59)*x)\/x*x)*(x\/(x*x**(1\/33)*x*x))**33 assuming x is positive.\nAnswer: x**(-3306\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c + 1d?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*o - 3*o + 4*o)*(2*o - 3*o - o) + o**2 + 3*o**2 - 6*o**2 + (-3*o + o + 3*o)*(-2*o - 2*o + 2*o) - o - o**2 + o)*(0*o**3 + 4*o**3 - o**3).\nAnswer: -3*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -7) + (16 - 11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18166640, 18166641, 18166642, 18166643, 18166644, 18166645?\n\"Answer: t + 18166639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1372*a + 36*a + 2097*a - 366*a in the form b + g*a and give g.\nAnswer: 3139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-7)*(-11 - -18). Let g = a - 1. Let p = 42 - g. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52.9944 - 53. What is u rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16, -3, -3\/7, -0.5, 11, 0.4, 0.17?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m**2. Let s(t) = -2*t + 24. What is u(s(r))?\nAnswer: -24*r**2 + 576*r - 3456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -81*r + 345. Calculate the smallest common multiple of o(2) and 24.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t - 79 = -207 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-4)\/6)*(-82)\/287?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 120.83719 to 0 dps.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 45885 and -4.\nAnswer: 45881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11, 65, 159, 293?\n\"Answer: 20*j**2 - 6*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 5*y - 4. Let n = 5 - 2. Let l be g(n). Suppose 8*f + 3 = 27. Solve -l*s + f = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q. Let w(t) be the second derivative of t**6\/60 + t**3\/6 - 3*t**2 - t + 1. Let o(u) be the second derivative of w(u). Determine b(o(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -179 - -184. What is the second derivative of -2*y**4 - 7*y**4 - 4*y**4 + 12*y**4 - v*y**2 + 1 - 70*y wrt y?\nAnswer: -12*y**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + 0.5. Let q = -5.4 - j. Let s = q + 6.0000002. What is s rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k + 2*k**4 + k**2 + 4*k + 3*k**4 + 2*k**2 to the form q*k + a*k**4 + v*k**3 + f + h*k**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -12*c**3 - 8*c**2 - 8*c + 8. Suppose 2*j - 4*s = 2 + 6, -j = 3*s - 14. Let f(i) = 8*i**3 + 5*i**2 + 5*i - 5. Calculate j*f(u) + 5*r(u).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38\/3 - 172\/15. Let m = -109\/3 + 35. Put d, -2\/11, m in ascending order.\nAnswer: m, -2\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 + 2*w - 5. Let l(b) = -b - 1. Let z be l(5). Is h(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71366 and 3801289.\nAnswer: 129243826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -75*j + 23*j + 1404 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9000.488 years to centuries.\nAnswer: 90.00488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95 + 12. Let a = u - 107. Sort -3\/8, 2, -5\/3, a.\nAnswer: -5\/3, -3\/8, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 176, 262, 348, 434, 520?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31164*b - 58 = -31193*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30523\/37 + 825. Suppose -2 - 3 = 5*j. Is j greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -43*b**4\/4 - b**3\/3 - 116*b - 93. Differentiate d(c) wrt c.\nAnswer: -129*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -2)*(5 - 6). Let p = w - -6. Suppose 0 = -p*z, -2*i = -0*i + 3*z - 290. What are the prime factors of i?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*k + k. Suppose -2*u + 106 = -k*f + f, -5*u + f = -239. Calculate the remainder when u is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 - 153*g**2 - 84*g - 628. Give m(-76).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -65 - (2 - -2)\/(1 + 3). Let g = -60 - m. Suppose 4*i - 16 = -2*b, 2*b + 0*b + 2*i = g. Sort b, 4, -2\/5 in decreasing order.\nAnswer: 4, -2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 8*h**3\/3 + 3*h**2 - 1358. Let b(m) = -7*m**2 - 5*m + 1. Calculate -6*b(p) - 5*d(p).\nAnswer: 2*p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.011 + -13.989. Sort 3, -0.09, y, -1 in descending order.\nAnswer: 3, -0.09, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -6*f + 2. Let r be a(-3). Let n = r + -15. What is the remainder when 7 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -1\/2. Solve 9\/2*r**2 + 3\/2 + v*r + 3\/2*r**3 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 5:15 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4)*(-10)\/15. Let r = 63 + -63.1. Which is greater: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert dd4d (base 14) to base 3.\nAnswer: 1221112010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**6\/840 + f**5\/420 - 5*f**4\/168 + f**3\/14 + f**2. Factor m(g).\nAnswer: (g - 1)**2*(g + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n - 49 = 56. Solve -n = -5*z, 0 = -3*c - z - 10 - 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (235\/25 - 10)\/(14\/1260) + -9 + 21\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 14. Let t be 1\/((3 + j)\/6). Solve 0 = 4*c + 4*a - 20, -5 = c - t*c - 5*a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2287344 divided by -48\nAnswer: 47653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.93 - -8.3. Let z = u - -0.03. Let h = 0.04 + 0.16. Which is the second smallest value? (a) z (b) -1\/8 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 2633?\nAnswer: -2640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 122 + 15 = 2*v, -2*v - 153 = -5*y. Let c = y - -39. Let k = c - 37. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 207040.5 nanoseconds?\nAnswer: 0.000003450675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19102*s + 19158*s - 224 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(833) + 4 - sqrt(833)) + -2*(1*sqrt(833) - sqrt(833)) - (-3 + -3*(-4 + sqrt(833) + 1 + sqrt(833))))**2.\nAnswer: -252*sqrt(17) + 67477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-2))**(22\/7)\/(a**(1\/2))**44)**(-13) assuming a is positive.\nAnswer: a**286","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 21 - 6. What is the first derivative of 0 - 3*f**3 + o + 2*f**3 wrt f?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2496 and 52848.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*j**2 - 18*j**2 - j**2)*(5*j - 5*j - 2*j)*(-1 - 4 + 6).\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502*y + 26863 + 2253 = 0 for y.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 68103 divided by -69?\nAnswer: -987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 31980749.3 to the nearest 10000.\nAnswer: 31980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 11:26 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/9 and 50\/260901.\nAnswer: 260901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*t + 2*v - 28, -4*t = -5*v + 7. Solve 2*u**2 - 5 + 3*u**4 + 17 + 9*u**3 - 5*u - 13*u**t - 4*u**2 - 4*u = 0 for u.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2352914 and 846?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 5*s + 65, -2*s = 5*d - 0*s - 74. What is the smallest common multiple of 12 and d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80370 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 35 = 53. What is the closest to -1\/3 in 3, 0, w, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**6\/6 - 12*w**5\/5 - 7*w**4 - 32*w**3\/3 + w**2\/2 + 2*w - 5956. What is the third derivative of q(x) wrt x?\nAnswer: -60*x**2 - 288*x - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6526002 is divided by 123.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 1. Let o be s(5). Let t(u) = -u**3 - 13*u**2 + 14*u + 3. Let i be t(-14). Let g be -1 + i + 34\/(-12). Put o, 2\/11, g in decreasing order.\nAnswer: 2\/11, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 2. What is l(13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 218047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 270 - 259. What is the third derivative of 13*f**3 - 12*f**3 + 5*f**4 - 97*f**2 - l*f**3 + 7*f**2 wrt f?\nAnswer: 120*f - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = s - 44, s - 266 + 210 = -2*k. Solve -4*y - s = -14*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + (26 - (-1 - -4)). Solve -24*t = -v*t + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (467\/(-2))\/((49\/(-14))\/7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**5\/15 + b**4\/12 - b**3\/3 - 7*b**2. Let j be 13 - 21 - (-2)\/((-4)\/(-6)). Let o(n) = 7*n**2 + 3*n - 4. Give j*l(m) + 3*o(m).\nAnswer: m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*z + 870 - 42 = 0 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(84)*2 - sqrt(84)))\/sqrt(12) + 0)*1.\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 360 divide 4189680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 312098 and 12992.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1676*r - 1 + 1676*r - 28*r**3.\nAnswer: -28*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 57*b + 7. Let r be a(9). Suppose 4*p - r = y + 3*y, 3*y = -5*p + 610. What is the greatest common factor of 25 and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 6*f + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -53169 and -197030.\nAnswer: -250199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2 + 10*c + 2. Determine h(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 5*r - 5*o - 441, -3*r + 211 = -o. Suppose -4*t - r = -5*t. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 5*k**3\/3 + 7*k**2\/2 + 7. Let o(m) = -2*m**2 - 2*m. What is -7*o(j) - 2*s(j)?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, a: 1, e: 1, m: 3}. What is prob of picking 1 e, 2 m, and 1 a?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584713324?\nAnswer: 2, 13, 11244487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khhhrqhqhrhh. What is prob of sequence krhq?\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-23)\/((-414)\/(-819) - 3\/7). Let q = t + 305. Solve 4*x - q*x = 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**3 + 13*o**2 + 19*o + 12. Let d(n) = n**3 + 4*n**2 + 6*n + 4. Let k(f) = -8*d(f) + 3*m(f). Give k(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -62, -8489, -3.\nAnswer: -8489, -62, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-7) - (-70)\/588. Which is the nearest to 0.1? (a) w (b) 0.1 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 10. Let f be d(7). Let i = -0.4442 + 1.4442. Let q be 2\/(-6) - 3\/9. Which is the closest to q? (a) -4 (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3266 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/((-9)\/4) - 4. Solve 0 = 3*y - 15, -2*y + x*y = -4*o - 22 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*z = 1238 + 292, 0 = -s - 5*z + 355. Is s a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**5 + 4*s**4 - 40*s**3 + 32*s**2.\nAnswer: 4*s**2*(s - 2)*(s - 1)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3154799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11 or -1538?\nAnswer: -1538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4831683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -5. Calculate the least common multiple of 3 and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = c - 4388, -4*c + 19*t = 14*t - 17555. What are the prime factors of c?\nAnswer: 2, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 1)*16\/(-4) 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 13 + (-26 - 0) + 37?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from szssszsssssssszsssz.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*x = -322 + 4980 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5603386, 5603376, 5603360, 5603338?\n\"Answer: -3*t**2 - t + 5603390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from usjjbstjbsjjsii.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**2 - 7. Let c(x) = 12*x**2. What is u(c(m))?\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79.175 - 0.175. Let c = -82 + l. Let f = -0.3 - -0.3. What is the second biggest value in c, f, -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3073 (base 8) in base 5?\nAnswer: 22340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1209527, 1209451, 1209375, 1209299?\nAnswer: 1209223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 611.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4673, -4986, -5301, -5618, -5937?\n\"Answer: -o**2 - 310*o - 4362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -17816 (base 10) to base 8\nAnswer: -42630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 1 + 0)\/(-1). Let f = 0 + m. Suppose 12*t = 8012 - 7976. Solve f*x + 15 = t*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 294781\/18 - 16385. Let o = -245\/48 - -367\/16. Calculate the common denominator of o and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 3 (c) 13\/4 (d) 0.2 (e) 4 (f) -3\/152\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 21*l**2 - 18*l - 37. Let n be r(20). Suppose 5*x = -4*k + 6*k + 14, -3*k = -3*x + 12. Suppose -h = -3*h. Solve -x*s + 3*s - n = h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2741207602 to the nearest integer?\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/21 - 302*y\/7 - 908\/21.\nAnswer: 2*(y - 454)*(y + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199392 is divided by 40.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -391.22 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 37697686 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j + 52. Suppose -6*g + 24 = -0. Suppose -a = -2*h + h + 14, 11 = g*h + 5*a. Let o be t(h). Solve -10 + o = -3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109*f - 31*f + 40*f)*(-2*f - f + 2*f).\nAnswer: -118*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 79967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 0.713 (c) -1 (d) -36\/11 (e) 4 (f) -0.05 (g) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 1116*w + 3351. Let m be z(-3). Let y(o) be the third derivative of 0*o - 21*o**2 - 19\/108*o**4 + 0 - 7\/270*o**5 + 2\/9*o**m. Factor y(n).\nAnswer: -2*(n + 3)*(7*n - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4\/7 (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -9. Let m = -2092 - -14646\/7. Determine k so that 6\/7 + 4\/7*k - m*k**q = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -100*f**3 - 5*f**2 + 5*f - 10. Let n(g) = g**2 - g + 2. Calculate 25*n(x) + 5*p(x).\nAnswer: -500*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28\/51 - -2\/17. Let d = 3707\/4434 + -2\/739. Let n = -7519\/5 - -1504. What is the closest to n in 4, d, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/43920 and 91\/79056?\nAnswer: 395280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2323220 + 2?\nAnswer: 2323222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - -1)\/(4\/20). Let d = n - 9. What is the remainder when d is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**4\/6 - 7387*g**3\/6 + 235421*g**2\/6 - 448685*g\/6 + 36775 = 0.\nAnswer: 1, 30, 7355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/12*(-5319)\/(-2955)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5238098264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -161 + 808\/5. Let p = 0.5 + -0.4. Which is the second smallest value? (a) w (b) p (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 10*s - 80. What is z(18)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/12)\/(-21)*3*(-408)\/(-18)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -15. Let r = 10 - n. Suppose -19 = -4*h - 3*k, 7 = -4*h + 2*k + 21. Sort h, r, 1 in decreasing order.\nAnswer: r, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*p - 7, -8 = -g - p - 1. Suppose g*d - 334 + 18 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*x**2 + 31*x**3 + 564*x - 18*x**3 + 24433 - 24434 wrt x.\nAnswer: 78*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k - 6. Let b(v) = -v**3 - 16*v**2 - 18*v + 15. Let j be b(-15). Let g = j - 66. Calculate x(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2\/23)*k**(-5\/4)*k)\/(k\/k**2)**(-5))**(-2\/47))**(2\/49) assuming k is positive.\nAnswer: k**(491\/52969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 0.5 (c) -302 (d) -8 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)\/x)**(-28)*x**(-3)\/(x*x\/x**(-6)) assuming x is positive.\nAnswer: x**73","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 1. Let d be s(3). Find the third derivative of 3*y**d + 5*y**4 - 4*y**4 - y**2 + 2*y**2 wrt y.\nAnswer: 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/(-90)*(-3 - 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2177558 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-762)\/33*(94 - 105). Solve -n*v + 18 = -248*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-4))\/6)\/((-1)\/3)*6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/4 - 11*t**2\/4 + 19*t\/4 - 9\/4.\nAnswer: (t - 9)*(t - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 2*z + 448 = 0. Suppose 672 = 60*j - 44*j. What is the greatest common divisor of z and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -20, 1.55, -1, 0, 3, 4, -168\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 283 = 45. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-22) + (-10566639900)\/(-2662528). Let d = -122997\/31 + a. Let l = d - 39\/32. Which is bigger: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*o - 18. Let u be 0 - (-2 - 2) - 8. Let d be (36\/2)\/((-6)\/u). What is the greatest common divisor of d and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009042908 rounded to four decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-16)\/10)\/((-4)\/170). Let v be (-1)\/2*-2 + 31 + -29. Suppose 14 = l - v. Calculate the highest common divisor of l and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z**2 - 7112 + 22*z**2 - z**2 - 10*z**2.\nAnswer: -3*z**2 - 7112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007432831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**3 - 55*n**2 + 130*n - 80 = 0. What is n?\nAnswer: 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*x**4 - 20*x**3 - 14*x + 2 wrt x.\nAnswer: -36*x**2 - 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 20*y - 113. Determine n so that -18\/13 + 2\/13*n**5 - 18\/13*n**4 - 92\/13*n**2 + 66\/13*n + 60\/13*n**y = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -30. Let c(h) = h**2 - 8*h + 4. Let g be c(k). What is the units digit of -4 - -36 - g - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 + 2123*m\/4 + 6405.\nAnswer: -(m - 2135)*(m + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 17*k**2 + 17*k + 3. Let a be j(16). Let z(c) = 22 + 110*c - 48 + a. Is z(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 558 = 5*a, -2*u - 368 = -0*u + 2*a. Let w = -136 - u. Let k(r) = -r**2 - 7*r - 1. Let b be k(-5). What is the highest common factor of w and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/8 + 6\/(-8). Solve 0*r - 4*r = y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -10*i**2 + 7*i - 8. Let d(m) = 2*m**2 - m + 2. Let l(z) = 4*d(z) + h(z). Let q be (-2 + 4)*3\/2. What is l(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**4\/12 - m**3\/2 + 5*m**2 - 22*m + 2. Determine o(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 8:53 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.606006885 rounded to three decimal places?\nAnswer: -8.606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1000 + 980. Suppose -h + 3*w = -920034, -4*w + 0*w = 2*h - 1840038. Let d be (-25)\/(-20) + h\/f. Round d to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272*f + 102*f + 85*f.\nAnswer: 459*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 758?\nAnswer: 19\/758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12 - -14)\/(3\/(-1149)). What is w rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/10*8*17\/408?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 367*n**2 - 2*n.\nAnswer: -367*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -2 (c) -2946.2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t. Suppose -2*l + 5*s - 18 = -29, 2*l + 5*s = 1. Suppose l*x + 4*y + 11 = -2*x, 2*x = 3*y - 9. Give z(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -732 - -473. Let g = -186 - d. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 299\/50 + -83\/100. What is the common denominator of -5\/3 and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 (base 11) in base 8?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -154 + 43 + 7*w - w**2 + 48 + 50. Let l be u(5). Let q = 1.2 - 0.7. Which is the second biggest value? (a) 16 (b) l (c) q (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + ((sqrt(1872) + (sqrt(1872) - (-2*sqrt(1872) + sqrt(1872))))*-5*3)**2).\nAnswer: 7581590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2 + 6 = 0. Let d = l + 3. Let z be (-5)\/6*(-92)\/(-345). Is d smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/2217 + -3707\/13302. Let k = 51829 + -2487673\/48. Calculate the common denominator of k and c.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, 1, 168 in descending order.\nAnswer: 168, 7, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xffx when four letters picked without replacement from xxxpfxxpxxfxxxx?\nAnswer: 11\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, f: 3, r: 2, k: 1, z: 5}. Give prob of picking 1 f, 1 z, and 1 r.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -l - 3*o, 4*l + 71*o + 56 = 67*o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3741201 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**3 + c**3 - c**3 - 1 - 7 - c**2 - 5*c**4 + 9 to the form j + f*c**2 + p*c**3 + t*c + n*c**4 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 6*y**2 - 5*y. Let c be f(-7). Let l = c - -21. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**2 - 13*l + 3. Let i(p) = -3*p**2 + 12*p - 2. Determine 5*i(v) + 4*x(v).\nAnswer: v**2 + 8*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13729 less than 0.1?\nAnswer: 13729.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -135 + 121240?\nAnswer: 121101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*z = s + 6, -4*z = -3*s + 25. Differentiate 1 - 3 + 4 + s*o**3 - 6*o**3 wrt o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 480607 and 10693.\nAnswer: 17782459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*u - 2)*(-2*u + 2*u + 5*u) + (-2*u**2 - 2*u + 2*u)*(-1 - 1 + 4) to the form m + c*u + h*u**2 and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 4 = 6*x. Let y be 8\/x - (-2)\/(10\/(-15)). Put 3, -6, y, 0 in ascending order.\nAnswer: -6, 0, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c + 7*c - 4*c + (3 - 2 + 1)*(6*c + 9 - 9) to the form d*c + r and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -10*s**4\/3 + 280*s**2. Let f(c) = 3*c. Determine b(f(y)).\nAnswer: -240*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 15*h. Let b(a) = 406*a + 1. Let i(m) = -308*m - 1. Let p(c) = -3*b(c) - 4*i(c). Give k(p(v)).\nAnswer: 210*v + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 147 = 207. Let u(l) = -16*l + 276. List the prime factors of u(y).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.906 + -0.164. Let r = g + 1.508. Round r to two dps.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 5) to base 9\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - 36. Suppose 3*v + 0*j - 2*j - 149 = 0, 0 = -m*v - 4*j + 161. Solve 55*u = v*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1577 - -1211?\nAnswer: 2788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7*(-4)\/(-28)*(-1 - -2). Sort b, 0.2, 853.\nAnswer: 0.2, b, 853","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-44)\/2)\/(18\/(-27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.1, 5532, -0.5, -6\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 938.7447 years to centuries.\nAnswer: 9.387447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*p = -7, -p = f + 2*f + 1. Let x(o) = -23*o - 127*o + 1 - 60*o. Is x(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*a**6 - a**5 - 681*a**3 - a**2 - 4*a + 42?\nAnswer: -960*a**3 - 60*a**2 - 4086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1859 is divided by 133?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1112, 1112, 1110, 1106, 1100?\nAnswer: 1092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, t: 2}. Give prob of picking 1 t and 2 m.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15804 - -15929. Sort 7, z, 0.5.\nAnswer: 0.5, 7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - 2*p + 2*p)*(-1052*p - 131*p + 164*p).\nAnswer: -3057*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 + 1.98. Let x = 1.04 + -0.04. What is the closest to 2\/5 in x, t, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(1*(-2)\/4). Let r be y\/2 + 3\/(-1). Let j(p) be the first derivative of p**3 - p**2\/2 - 2*p - 10. Determine j(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (336*r**2 - 146*r**2 + 125*r**2)*(29 + 13 + 7) as v*r + j*r**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5*x + 4*g - 8, 0 = 5*g + 15. Is 2\/(x + (-22)\/(-4)) - -4507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -17. Suppose 5*j - 16 = -f, -17 = -3*j - j - 5*f. Let l = d + j. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2551156 to 3 dps.\nAnswer: -0.255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4 = 13. Solve 4*x = 3*n - c, 0*x + x + 3*n = 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 199837 + 20302 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t + 893 + 43 = -22*t for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 62*q**2 + 1237*q - 7. Determine t(-20).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238 + 238 - 26*j - 39*j + 22*j.\nAnswer: -43*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y + 10. Let g be (195\/26 - 8)\/((-3)\/30). What is p(g)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30812176 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c7 + 91ac?\nAnswer: 96a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 23*c**2 + 6. Let w(n) = 883806*n + 44 - 883806*n - 1105*n**2 - 333. What is 6*w(s) + 289*z(s)?\nAnswer: 17*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 43834700 to the nearest 1000000.\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 10 = 3*z, 0 = -s - 2*z + 2. Suppose 2*q + s*c = 2*c + 58, 5*c = -4*q + 101. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/779 + -40494\/5453. Let f = x - -347\/42. Let m be (3\/(-6))\/(-1)*2. Are f and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/42 and -169\/1530?\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292583604?\nAnswer: 2, 3, 181, 134707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 318 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -346, -1377, -3090, -5485, -8562, -12321, -16762?\nAnswer: -21885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5923216 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47970*g**3 + 905*g**2 + 752916*g - 121?\nAnswer: -287820*g + 1810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -36\/5, 1, -5\/6, 0.19, 1\/11?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*p + 96*p + 77*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 664.323 minutes to milliseconds.\nAnswer: 39859380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-120) - 3*6\/45\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20740 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 83 and 774820.\nAnswer: 64310060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -77082.063 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -4633288?\nAnswer: -3\/4633288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 104, 98, 92, 86, 80, 74?\n\"Answer: -6*m + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2\/33, 2\/5, -0.01 in descending order.\nAnswer: 2\/5, 0.3, -0.01, -2\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1498 - 1474. Suppose -6 = -5*z + 4. Solve -s = 5*b - p, b = -3*s - 0 + z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132 + 100?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1015 or -11\/48?\nAnswer: 1015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**6\/10 + 9*j**5\/25 + 9*j**4\/20 + j**3\/5 - 8. Factor a(p).\nAnswer: 3*p**2*(p + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 59 = -19. Let h be 14\/l*140\/(-3 + -2). Suppose h*r = 52*r - 72. Solve -2*n + 5*q - 5 = r, 0 = -3*q + 15 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306*c = -11623 - 6737. Let r(z) = -z**3 - 2*z**2 + 4*z + 1. Calculate the remainder when c is divided by r(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + 24. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -31.951 and -0.1439.\nAnswer: -32.0949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 178.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -4 (b) -1\/12 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from otzz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73.1 + 73.5. Suppose -3*w - 5*x = -x + 20, -5*x - 10 = 0. What is the nearest to -1 in w, -5\/3, b?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*l - 48374 + 156629. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-33*4\/(-28) + -4) - -1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 0*v + 2*c - 82, -c = -3*v + 127. Is 21 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j - 4. Let u(f) = 3*f - 5. Let g(x) = 5*c(x) - 4*u(x). Let l(b) be the first derivative of -b**3 - 3. Determine g(l(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -362159564 by 605618.\nAnswer: -598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(4030\/(-8)))\/(((-2268)\/(-234))\/(-21))?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1006?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - h - 4. What are the prime factors of f(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.85859695 to 2 dps.\nAnswer: -1.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*p + 238 + 55 - 144 - 150)*(3*p - 2*p + 0*p).\nAnswer: 21*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14431 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 109 (b) 3 (c) -3\/4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9333 = -77*y - 69*y + 72*y - 79*y for y.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98536 is divided by 98504.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3941, -15305, -34249, -60773?\nAnswer: -94877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20902.062 + 20902.090999822. Let y = 0.029 - d. What is y rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1603 + 503 = 9*g. What is the greatest common divisor of g and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 5) in base 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1288\/3195 - -2\/639. What is the closest to 0.1 in -0.2, -22, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*u**3 - 318*u**2 + 107*u - 60.\nAnswer: -72*u - 636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1370 is divided by 169?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 331, 3 in ascending order.\nAnswer: -2, 3, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1dba47 (base 16) to base 14.\nAnswer: 389dd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1\/6, 15269?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*x = -6, -5*x = -0*x. Let h be (-3 - -2)\/(-1) - i. Let t(b) = -b**2 - h*b + 4*b - 2*b. Determine t(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3, q - 3 = -u - 0*u. Suppose -g = 7*g - 72. Solve g*j - q*j = -9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -1033a204?\nAnswer: 1033a204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - ((-101 - 3) + 133)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -380008 > -380009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7012 - 7008. Let b(m) = m - 2. Let d(j) = -3*j + 4. What is f*d(v) + 10*b(v)?\nAnswer: -2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brsb when four letters picked without replacement from brrbrrbbrrsrs?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -8*y - 30. Let w = -11 + 4. List the prime factors of b(w).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*w + 22*w = -1258. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9194 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 50177719 to the power of 1\/3, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-15) + (1 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - 14 - (8 + -10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.98 + -9. Let z = 7.02 + b. Let d = z + -6.999907. What is d rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5155312 - -2?\nAnswer: 5155314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -35*o + 3. Suppose 5*x - 4*n - 8 = 3*x, -4*n - 8 = 4*x. Let c be k(x). Solve -4*d - 17 + 1 = 0, c*t + 12 = -3*d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*y + 3572483, 0 = 362*x - 360*x + 5*y - 7145083. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from fvfvvfvffffffffvff.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {r: 3, y: 3, n: 11, e: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 242648741 to the nearest integer?\nAnswer: 15577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(350)\/sqrt(7) - sqrt(2)))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 396.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, t: 5, f: 3}. Give prob of picking 3 t and 1 j.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*(r\/r**(-1))\/r*r)\/(r\/(r**(-1\/4)\/r)*r)**(-27)*(r\/(r\/((r\/r**4)\/r))*r*r\/(r\/(r\/(r\/(r\/r**(-6))))))**4 assuming r is positive.\nAnswer: r**(419\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*sqrt(2106)*-4)\/((4*2*sqrt(10))\/sqrt(5))*-3.\nAnswer: 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 141899 = 50691. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - s**2 + 9)*(s + 2 - s - 2*s**2) to the form a*s**4 + z*s**2 + m + t*s + x*s**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3 = 3*u, -3*u + 0 = -2*n - 1. Let x = 3 - n. Calculate the greatest common factor of x and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 9, -224, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21.4 and 321?\nAnswer: -6869.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 104\/6 + (-44050)\/13215?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14 (b) 0.06 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(66) - sqrt(66)*1*3)*2)\/((sqrt(30) - (sqrt(120) - -2*sqrt(120)))\/(-2*sqrt(15)\/sqrt(3))).\nAnswer: -8*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10109\/21 + -1445\/3. What is the closest to 3\/2 in -0.8, s, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071 divided by 111?\nAnswer: 357\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1957605 and 2795?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 299250.7236 - 340559.323. Let r = j - -41313. Let c = r + -0.0906. Round c to 1 decimal place.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 - 54. Suppose 1 = 4*d - k*d. Let r be (-50)\/126 - 4\/(-14). What is the nearest to 0.2 in r, d, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20879 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: Is 198096 >= 6140985\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b - 12 = 16*b. Let l(p) = -2*p - 6. Let k be l(-4). What is the third derivative of 0*g**b + 0*g**2 + 3*g**4 + g**4 + 3*g**k wrt g?\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 7:09 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 13) + 2 + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k - 47 - 7 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20, -83, -188, -335, -524, -755?\n\"Answer: -21*a**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 16 = 0, -5*t + 53 = -2*c + 5*c. Suppose -589*l - 5580 = -682*l. Calculate the remainder when l is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 88 or 1.2?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432 - 108 = -36*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-165)\/132*(-192)\/(-4440).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from jbbbbgbqobxjqqbxjgbq.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5 = 3. Suppose 0 = -g*n + 20 - 0. Solve t = -t + n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1*2487)\/(111\/(-74))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 132?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1126.7 and -1619.\nAnswer: -492.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/(-16)*(-1984)\/528 and 25*-9*2\/(-936).\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1170, -2320, -3470, -4620?\nAnswer: -5770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -13.5. Let k = 6 + z. Let p = -3.1 + k. Put p, -4\/7, -0.2 in increasing order.\nAnswer: -4\/7, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 7:22 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 144*k - 441. Let u be q(3). Find i, given that 4\/5*i + u - 4\/5*i**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b**4 - 200*b**3 - 616*b**2 - 160*b = 0. Calculate b.\nAnswer: -10, -4, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3 (b) 1\/3 (c) 0.3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2117, 2122, 2129, 2138, 2149, 2162, 2177?\nAnswer: 2194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*b = 5*b + 736600000. Round b to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/88 and -69\/40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1246561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**4*x)\/x)\/x**7*(x**2)**(8\/15))\/((((x**(-1\/2)*x*x*x)\/x)\/x**(-3))\/((x\/(x**3\/x))\/((x\/(x*x**3\/x*x))\/x))) assuming x is positive.\nAnswer: x**(-103\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75\/8 of a litre?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*b = -510. Let o be (1 + 4\/(-2))*-3. Suppose o*h = g + 146, h + b = 3*h + 4*g. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 1470\/60) + 5*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 30 - -7 - 55\/17.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p - 1. Let o be c(1). Solve 0 = -5*i + 4*j + o, -2*i - 2*j + 3 = -5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 297*y**5 + 202*y**4 - y**2 + 684139*y wrt y?\nAnswer: 5940*y**3 + 2424*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22783661 to the nearest integer?\nAnswer: 4773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 24\/61 (c) 4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 7:35 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.044, -4, -0.5 in ascending order.\nAnswer: -4, -0.5, -0.044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence goo when three letters picked without replacement from ognqooqnqonoqonq?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 4, 3, 2 in increasing order.\nAnswer: 2, 3, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2109, 16784, 56561, 133974, 261557?\nAnswer: 451844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 7*p + 720 = 0. Let i(n) = -n**3 - 49*n**2 - 49*n + 171. Calculate the remainder when i(p) is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 999 divided by -7983.\nAnswer: -111\/887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 17105689*s**2 - 1 + 17105383*s**2.\nAnswer: -306*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 18. Solve s = -u*s - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2127 less than 2177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -228956 or -228969?\nAnswer: -228969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 139, -1\/9, 0.007, 4\/3, 0.4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q + 534*q**3 + 5*q**2 - 13*q - 557*q**3 - 5*q**2.\nAnswer: -23*q**3 - 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 equal to 26\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1\/o)\/(o\/(o*o*o**(-1)))*(o**(2\/3))**(6\/7)*(o**0)**(-1\/9)*o**(-1\/3)\/o*o**1 assuming o is positive.\nAnswer: o**(5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 11*h**2 + 4*h - 13. Suppose -67*d = -65*d - 22. Is w(d) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (3 + 0 + -8 + 15 + -15).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103 - 71. Calculate the greatest common factor of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 41, 46, 53, 62, 73, 86?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*f + 29 = 0, -3*g - 16*f = -15*f - 13. Solve c = g*k + 27, 0*c - 3*c + 1 = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -280*o - 835. Give h(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + u + 1. Let n(y) = -5*y**2 - 3*y**2 - 4*y + 16 + 2*y**2 + 3*y**2. Let g(m) = -4*i(m) + n(m). What is the units digit of g(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -272da?\nAnswer: -272da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 51315, 51266, 51217, 51168?\n\"Answer: -49*s + 51364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*c**2 - 27*c**2 - 568*c**2 - 641*c**2.\nAnswer: -1027*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 2610903287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**4\/8 - 821*r**3\/4 - 22681*r**2\/8 + 22566*r - 36630 = 0.\nAnswer: -1628, -20, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 424334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -99273760 and -0.3.\nAnswer: 29782128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w + 13605. Let z be l(0). Suppose 5*x - 17001 = 4*a, 0 = 4*x + a - 0*a - z. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 2*h - 3766 = -10*l, 0 = -2*l - h + 3768. List the prime factors of l.\nAnswer: 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - -2)*1\/(-1). Suppose -2*u = -4*a + 6, -3*u = 8*a - j*a - 2. Suppose 3*l - t = a + 1, 4*t = -8. Solve l*p + p = -4*x, -4*p + 3*x + 19 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -709436 + 2*j**2 + 709436.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3 - 2 = -3*i, -5*r + 4*i + 1 = 0. Let t be -1 + 2 - (-3)\/(-4). Let s = 132 - 131.7. Which is the nearest to r? (a) 4 (b) s (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0. Let d(s) = s**3 + 16*s**2 + 15*s + 1. Let o be d(-15). Let p = -122\/105 - -16\/21. What is the third biggest value in o, g, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -11*m**2 + 1 + 0*m - 7*m**3 + 10*m**2 - m. Let n = 3 + -8. Let r(y) = y**2 + 4*y - 4. Let w be r(n). What is u(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7906 divided by -134?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -16*z - 21. Let t(u) = 110*u + 121. Let o(x) = -15*g(x) - 2*t(x). What is o(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 5)*2\/16. What is the nearest to -2 in 0.4, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.00349 + -0.0009. Round s to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or -5501598?\nAnswer: -5501598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047 (base 11) in base 3?\nAnswer: 1220012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**3 - 138*o**2 - 441*o = 0.\nAnswer: -3, 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.407 or -32.4631?\nAnswer: -32.4631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -255332453 (base 6) in base 11?\nAnswer: -2919682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.31 in 4, 5, 2\/5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31309\/23 + -153716\/115. Factor 126\/5*t - 3\/5*t**3 + 0 - v*t**2.\nAnswer: -3*t*(t - 1)*(t + 42)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8582\/9 + -955. Let w = 5\/3 + p. Which is the nearest to -2? (a) -2\/13 (b) w (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 275324 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*z = -2*n + 15, -5*n - 6 = 2*z. Differentiate 236 + 34*o + o**3 - 26 + n*o**3 + 0*o**3 wrt o.\nAnswer: 3*o**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2565 and 7410?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k - 35. Let y be r(13). Solve -l - y = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 8 = 10*d. Let j be -2*(-3 - -2) - 2\/d. Solve j = a + 6 - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -3. Suppose -21*q + 8*f - 4*f + 108 = 0, 5*q - 3*f - 38 = 0. What is the greatest common divisor of b and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**4\/12 + v**3 - v**2\/2 - 5*v. Calculate t(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {t: 9, j: 5}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163, -320, -475, -628, -779, -928, -1075?\nAnswer: -1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3790*k + 17370. What are the prime factors of z(17)?\nAnswer: 2, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*b + 10*b + 127*b.\nAnswer: 239*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*i - 64 = 176. Solve 0 = i*d - 5*t + 11 + 4, d - 5*t - 5 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65618.\nAnswer: 2, 7, 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 9 + -9 + -1 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*b - 12 = 0, 2*b - 10 = -4*w + 4. Suppose -4*s - 5 = 5*j + s, -24 = -4*j + 3*s. Let v(i) = 0 - 1 - j*i + i**2 + 0. Determine v(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-1 - 1) + 154\/77. Solve -5*l - 3 = 3*x + i, -3*l = -x - 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 5*c + 5*b, 3*c + 0*c = -b - 12. Suppose f - 4*f = 0. Let r(a) = f*a + 2*a**2 + 3 + a**3 + 2*a - 4*a. What is r(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 168 = 6*x. Let j = 1 - x. Let l = j - 41. Solve l*m = 1 + 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9082)\/(-95) + 8\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2210 and 46880730?\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 12:17 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/294 and 71\/48.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/391 in -2\/11, 35, -4, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -836 - -837.1. What is the nearest to -0.1 in -0.4, -5, 9\/5, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4 + (-3 + 4 + 1)*(-3 + 4 + 1) + 3 - 5 + 3 - 1 + 0 + 2 - 38 + 285 - 135)*(2*w - 7*w + 2*w)*(-w**4 + 4*w - 4*w).\nAnswer: 351*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1157 or 130?\nAnswer: -1157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*y + 15. Suppose -13*i + 8*i = -235. Let b = -23 + i. Calculate the greatest common divisor of b and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 10*t = -10 + 65, 4*c - 2*c = 21*t + 113 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*h - 44*h + 210. Solve -2*w + 26 = -5*m, 3*w - 5*m - h = -2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*g + 10, 3*i - 5*g + 12 = -2. Suppose 20*f**i - 1 - f**3 + 13 - 21*f**2 + 8*f = 0. What is f?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jq when two letters picked without replacement from {q: 1, i: 6, j: 3, c: 6, k: 2}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**3\/((v\/(v\/(v\/((v*v**(-2\/9))\/v)*v)))\/v))\/(v**6*v**3*v*v))\/(v*((v*v**(-2))\/v)\/v*v*v*v**(-3\/11))**(28\/9) assuming v is positive.\nAnswer: v**(-829\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2500, -2459, -2432, -2425, -2444, -2495?\n\"Answer: -v**3 - v**2 + 51*v - 2549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*w**4 + 7*w**3 + 1057*w.\nAnswer: -348*w**2 + 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21122 - -21?\nAnswer: 21220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4156230 + 290.43\nAnswer: 4156520.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 - 84.6. Which is the third biggest value? (a) 4 (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006103 to seven dps.\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 201.3096 - -0.3904. What is j rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**(-6\/19))*n)**(10\/9))**(1\/5))**28 assuming n is positive.\nAnswer: n**(1400\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5319\/7 or -1949?\nAnswer: -1949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t - 6 - 29*t + 13*t + 0*t.\nAnswer: -6*t - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.094 rounded to zero dps?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-3 - 2) + 1 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 49 in -32, -0.207, 0.13, -0.1?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 12 = 0, 4*h + 8*m - 5*m = 10 - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6408 and 2937.\nAnswer: 70488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/17 (b) -25\/204 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8524247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 277442, 277439, 277436, 277433?\nAnswer: 277430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s**2 - 121*s - 245. Calculate q(-22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1453 (base 9) to base 2\nAnswer: -10001001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**3 + 2*l - 1. Let g be -2 + 3 + -10 + 10. Give j(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2885927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6000 (base 9) to base 16.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)\/sqrt(45))\/(3*sqrt(15)\/sqrt(3)) - 6*5*-3*(sqrt(21)\/sqrt(3))**2)*-6.\nAnswer: -3780 - 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20396181 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -5*i**3 + 245*i**2 + 7980*i + 21600 = 0.\nAnswer: -20, -3, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1329642 and 1692?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -254 - -430. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -64, 12\/5, 1\/7, -22?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/8 (b) -1 (c) -0.23 (d) 0 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - (0 - -2)) + -3. Let t(q) = q**3 + 10*q**2 + 9*q - 3. Is t(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x + 2570 + 2609 = 5239 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c = -6. Let b(l) = 3*l**c - 3104*l**3 + 336*l**3 - 148*l**3 - 6*l. Let h be b(-6). Round h to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*c - 54, -3*o - 4*c + 29 + 46 = 0. Let h be (-2 - 0)\/((-2)\/2). Suppose q - o = -h*q. Is q less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 7:56 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*h = -139, -3*p + 95 + 94 = -h. Is p a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59254979*r**4 + 290137361*r**2?\nAnswer: 1422119496*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -0*s - 45. Suppose m + 4*m = s. Suppose -2*u = u - m. Which is the second biggest value? (a) 2 (b) u (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 - -42. Solve -7 + 22 = -m*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 220 - 217. Is 17 a factor of (-559)\/(-6 + c - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -570 by 285.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/30 - 7\/(-2). What is the third derivative of y*u**3 - u**2 - 5*u**3 - 3*u**3 - 3*u**2 wrt u?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a microsecond in nanoseconds?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + -4.8. Put 5, b, -2 in ascending order.\nAnswer: b, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 241*l**4 + 34 - 4 + 219*l**4 - 468*l**4 + (0*l + l - 3*l)*(0*l**2 - l**3 + 0*l**2).\nAnswer: -6*l**4 + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-6)*l))\/l)\/l*l**25\/l*l*l**(-8)*l*l**(-2) assuming l is positive.\nAnswer: l**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 521 + -522. Which is the third biggest value? (a) 0.03 (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l + 0*l**2 + 2*l**2 - 4*l**2 - 9*l - 2*l**2 + 320 = 0.\nAnswer: -10, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 127 = -123. Suppose -4*g = -25 - 23. Suppose -g*j = -9*j - 39. What is the remainder when i is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*d**5\/21 + 125380*d**4\/21 - 108464*d**3\/7 - 646204*d**2\/21 - 215422*d\/21 - 6680\/7 = 0. What is d?\nAnswer: -1, -1\/5, 4, 2505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -137*u**4 - 7*u**3 - 45*u**2. Let w(r) = -68*r**4 - 3*r**3 - 22*r**2. Let p(b) = -3*l(b) + 7*w(b). What is the third derivative of p(d) wrt d?\nAnswer: -1560*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91907 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times 41649197\nAnswer: -2498951.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, i: 1, d: 1, r: 1, b: 1}. What is prob of picking 1 s and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-312) + (-4)\/26?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31141517 (base 8) in base 2?\nAnswer: -11001001100001101001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1425 is divided by 213.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_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 x = 86 - 27. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79989*m**2 - 70830 wrt m.\nAnswer: -159978*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -4 + 13 + -8. Suppose 2*b = 3*b. Suppose b = v*c + 2*c. Solve c = -4*k + 18 - 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1 + 9 = 0. Suppose f*w - 43 = -8. What is the least common multiple of w and (1 + (-2)\/(-2))\/1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. Let d(b) = 15*b**2 + 2. Let k be d(v). Let u = k + -41. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2664 divide 2322648360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -257 and 125627.\nAnswer: -32286139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 14*f + 24. Let o be d(-12). Let u = 27 - o. What is the remainder when u is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**5\/15 - 13*d**4\/6 - 20*d**3 - 13*d**2 - 5*d. Factor s(o).\nAnswer: -4*(o + 3)*(o + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.37891256 rounded to 1 dp?\nAnswer: 23.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 24 = -i + 4*z, 5*z = 2*i + 16. Let c be i\/12*(-9)\/2. Let k be 9*(6\/c)\/6. Sort 5, k, -7 in decreasing order.\nAnswer: 5, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -284077861.\nAnswer: -2\/284077861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*o - 17, 0 = 3*d - o - 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**1*q*q)\/q)**(-27)\/(q*q*q*(q\/((q\/(q\/((q**(1\/2)*q*q)\/q*q)))\/q))\/q)**(-35) assuming q is positive.\nAnswer: q**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2*i + 41, 5*i - 1 = 4. Let r(f) = -40 - 5*f + y + 2*f. Suppose 7 = -5*w + 3*u, -3*w + 4*w - 5*u = 3. Determine r(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -76, -86, -96, -106, -116?\n\"Answer: -10*w - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*k + 88 + 248 = 0. Let u(t) be the second derivative of 11*t + 0*t**2 + 0 + 1\/18*t**3 - 1\/18*t**k + 1\/60*t**5. Factor u(f).\nAnswer: f*(f - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 9. What is the closest to -0.1 in 0.3, -2, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 4*j - 2*j**3)*(3*j - 4*j + 3*j)*(7 - 17 - 45).\nAnswer: 220*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*z**4 + 3*z**2 + 161*z wrt z?\nAnswer: 72*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 12) in base 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 3 (c) 1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12384301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/4 - (-1)\/4. Is 1\/4*s - (-6759)\/12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(65)*6 - (sqrt(65) - (sqrt(65) + -5*(sqrt(65) + sqrt(65) + (sqrt(65) - sqrt(65)*-2)) - sqrt(65) - sqrt(65))))\/(-6*1*sqrt(320)).\nAnswer: 5*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 4*p - 30. Let u be g(-8). Suppose 3*m - 4*t + 118 = 0, -u*m - t + 40 = -3*m. Let b = m + 54. Solve b = 2*d + 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1598331971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 6*n**2 - 7*n - 10. Let l be t(-5). Suppose -k + 12 = 2*j, l = 4*k + 4*j - 0 - 32. Solve 0 = p + k*p + 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-3))\/(14\/84). Suppose 651 = -5*v + f*v. Suppose -g + 2*g + v = 3*h, -h + 2*g = -74. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 6. Suppose 0 = 16*y - 21*y - 5*f - 95, 2*y - 2*f = -22. Let h(b) = 2*b**2 + 32*b + 40. Let i be h(y). Solve v*d = -0 - i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 18*j**2 - 6*j - 6. Let r be g(-4). Suppose -82 = 4*w + r. Let x = 167 + w. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, q: 1, f: 1, n: 1, x: 2, u: 1}. What is prob of picking 1 f, 1 x, and 1 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -146*i**3 + 3*i**2 + 9*i - 6. Let w(f) = 729*f**3 - 15*f**2 - 48*f + 32. What is 16*b(h) + 3*w(h)?\nAnswer: -149*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99 + -36. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*t + 664, -t + 5*t = -4*b + 664. Let c = t - 162. What is the remainder when c is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 9:46 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from {s: 2, x: 2, d: 1, z: 2, k: 4, y: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.9724 to one decimal place.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.39, -0.3, -8 in ascending order.\nAnswer: -8, -0.39, -0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7735 = 2383*n - 60161 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 0 + 17 + 5 - 21?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67880581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 504)*2\/6. Let a = m + 237. Let o = a + -42. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 1 = -3*g, -3*g - 17*r = -20*r + 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v = -11*v + 5*v + 550400. What is the thousands digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 - 13103230301?\nAnswer: -13103230133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v - 14. What is q(10)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 739*u**3 + 762*u**3 - 267*u**2 - 1519*u**3 + 267*u**2.\nAnswer: -18*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32450 or 4813?\nAnswer: 32450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09465 to 3 decimal places.\nAnswer: -0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -38*s**2. Let z(w) be the third derivative of -w**4\/12 + 7*w**2. What is z(b(c))?\nAnswer: 76*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q + 6*q + 11*q + 3*q. Let g(i) = -i**2. Determine k(g(z)).\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5411 divided by -47720\nAnswer: 5411\/47720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 512 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*f + 153 = -81*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -736*z = -690*z + 506 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46785089 to the nearest integer?\nAnswer: 6840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479024 is divided by 1769?\nAnswer: 1394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4 + (-36)\/8)*-2 - -53 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2. Let s(w) = -94*w**2 - 65*w - 11. Let u(a) = -6*p(a) + s(a). Find the second derivative of u(b) wrt b.\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -185 + 98 + 89 - 31*j - 1 - 2*j + 1 + (4 - 1 - 1)*(-j - 2*j + 2*j) + 1 - 1 - j to the form s + a*j and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -208 * 5\nAnswer: -1040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -35, -84, -159, -254, -363, -480, -599?\n\"Answer: m**3 - 19*m**2 + m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((18\/4)\/9)\/(((-1)\/8)\/(-1)). Solve -w*f + 12 = -4*u - 0*u, f + 5*u = -3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3492, -5042, -7642, -11292?\n\"Answer: -525*g**2 + 25*g - 2992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of (53\/(1113\/33306))\/(2\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from lwyltclllw?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 90420699 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 + 12. Let c(t) = -1. Let b(q) = -2. Let f(k) = -b(k) + 3*c(k). Determine -10*f(j) - r(j).\nAnswer: -2*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s + 125773 = 25*s - k, 4*s - 3*k = 503096. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 3. Suppose 3*q - 15 = -n. Suppose 9 + 18 = b - 5*h, q*h = b - 26. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5010 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 1\/3*f**4 - 7\/6*f**3 - 3*f - 7\/2*f**2 + 0. Let v(r) = 0*r**2 - 4 - 4*r + 0*r + 2*r**2. Give -4*u(j) + 7*v(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 1:00 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69498.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 57203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100111000000011011 (base 2) in base 7?\nAnswer: 5546225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 14, j: 1}. What is prob of sequence yjy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 654, -0.1.\nAnswer: -0.1, 0.4, 654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*z + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 2*a + 3*a + a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + l + 1. Let v(w) = 5*w**2 + 3*w + 3. Let s be (-2)\/6 + 136\/(-24). Let m = 3 + s. Let b(d) = m*q(d) + v(d). Factor b(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150987?\nAnswer: 3, 50329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.46 - 2.46. What is the closest to p in -0.4, 0.3, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 + b**2 - b + 1. Let t(z) = 3*z**3 - 9*z + 2. Give -a(q) + t(q).\nAnswer: q**3 - q**2 - 8*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*q**2 + 3)*(-5*q + 6*q - 12*q) - q - q**3 + q + 95*q**3 + 1668 - 1668 + (0 + 0 - q)*(-3*q**2 + 2*q**2 + 2*q**2) + 3*q**3 + 0*q**3 - 4*q**3.\nAnswer: 114*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(252) - (sqrt(252) + sqrt(252) + -1*sqrt(252))*1)\/sqrt(4)*3)\/(sqrt(63)\/(sqrt(7)*-1)*-3*4))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223 (base 8) to base 2.\nAnswer: -10010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3)\/p**(2\/7))\/((p*p**(3\/2))\/p**(-2\/3)) assuming p is positive.\nAnswer: p**(-173\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-28 + 1788\/(-30))\/((-1)\/350)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 29*t**2 + 29*t + 26. Give b(-30).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Let x = -1476 - -535. Let s = x + 940.8. Which is the third biggest value? (a) s (b) -0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + -48a075?\nAnswer: -48a080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or -16.79?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 2*s + 2*s)*(0 - 3 + 1)*(2 - 4 + 4).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 7*x**3\/2 - 15*x**2 - 3505*x. Give n(-6).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**5\/30 + 55*n**4\/12 + 52*n**3 - 598*n**2. Factor z(b).\nAnswer: 2*(b + 3)*(b + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4623184631?\nAnswer: 13, 107, 3323641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3)*o)\/(o*o\/o**(-6))*(o**1*o)\/o**8 assuming o is positive.\nAnswer: o**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-45) - (-62)\/6. Let p = 15 - w. Solve -7 = -p*j - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-720)\/100*12\/18*(-60)\/(-16)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 58\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102238 + -6129419\/60. Suppose -452 = 4*s - 4*y - 108, 4*y - 20 = 0. Let x = k + s. Is -1 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-40) - 2\/5)\/(((-1854)\/(-216))\/103).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (120832 + 563*r - 120832)*(-1 + r**3 + 1).\nAnswer: 563*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297 = 54*k - 567. Which is greater: -22\/13 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 649723.2ml to litres.\nAnswer: 649.7232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -140228, -140229, -140230, -140231, -140232, -140233?\n\"Answer: -m - 140227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115750422, 115750413, 115750404, 115750395?\nAnswer: 115750386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 6*c. Suppose 11 + 19 = 5*v. Suppose v*s - s = 25. Calculate f(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5*b + 4*w = -16, b = w + 3. Let m be ((-6)\/4)\/((-6)\/b). Let q be (-66)\/m - 24\/8. Round q to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208619.7 decades in centuries?\nAnswer: 20861.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/2))**(-7\/10) assuming p is positive.\nAnswer: p**(-7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3 + 6*g**2 - 2*g - 6 = 0. Calculate g.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21506 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.3 + -2.24. Let y = -3.43 - b. What is the second smallest value in -3\/7, y, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 209, 459, 797, 1217, 1713, 2279, 2909?\nAnswer: 3597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6*b**2 + 38*b - 686. Determine a(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, e: 4, y: 1, o: 2}. Give prob of sequence ee.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 60\/9 - (-3)\/9. Let x(z) = z**3 - 7*z**2 + 7*z + 8. Is x(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 7*k**2 + 8*k + 6. Let h be y(-8). Let d be 1 + 3\/(h - 3). Factor -21*u**3 + 0*u**2 + u - d + 0*u + 22*u**2.\nAnswer: -(u - 1)*(3*u - 1)*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*r - 21 = -5*m, 5*m = 5*r + 5. Suppose -r - 2 = -z. Suppose -b + 95 = z*b. What is the remainder when 75 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t + 2. Let j be s(3). Suppose 0 = k - 3 - j. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 - 30 + 56)*(5*g - 5*g + 2*g) + 0 + 0 + 2*g + 2 + 2*g - 2 + (-5*g + 0*g + 3*g)*(-2 + 0 + 1) + 3*g - 4*g + 0*g.\nAnswer: 165*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -193 * 30.059\nAnswer: -5801.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0023292484 to 7 dps.\nAnswer: 0.0023292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 1099*s - 1083*s. Let j(x) = 6*x**2 + 2 - 3*x + 1 - 4. Does 25 divide j(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3454?\nAnswer: 2, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -519*z + 33672 = -30684. What is the remainder when z is divided by 9*-3*4\/(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*m + 16. Suppose -4*r - o + 220 = -0*o, -188 = -m*r + 5*o. Let f = r + -22. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -492, -9\/107, 5 in descending order.\nAnswer: 5, 3\/5, -9\/107, -492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124334210.\nAnswer: 2, 5, 7, 11, 13, 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2506 to two dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/8 of a gram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24285 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 plus -152?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 4*q**2 - q + 3. Let j be w(4). Is 13 a factor of j*2*(-39)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 10:54 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -8*q. Let y be r(-1). Let l(o) = 6*o - 14. Is l(y) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*t - 0*t - 37, -2*s = 4*t - 16. Sort -1, s, -7, -5 in descending order.\nAnswer: s, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.56008 from 20.\nAnswer: 20.56008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 2. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -115 + 6 + 6 + 8*j**2 - 96 + 2*j in the form d*j + y + b*j**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-54)\/12*(-4)\/(-3). Let w be (0\/2)\/(5 + o). Suppose -3*l = -w*l - 111. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z - 8*z - 6*z + 21. Let b(t) = -3*t + 4. Let w = 3 + 0. Let m be 5*w\/(15\/2). Calculate m*n(f) - 11*b(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 922330 - -86?\nAnswer: 922416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -47294.\nAnswer: 10\/23647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 6 = 2*p, -k + 98*p - 100*p + 6 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-484.\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (30 - 5 - ((-29 - -20) + (2 - -19)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -12*y + 1. Let c(x) = -x**2 - 5*x + 41. Let j be c(4). Let v(b) = j*b - 6*b - b. Determine h(v(w)).\nAnswer: 24*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1048819 is divided by 13276?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 106\/6 - 20\/12. Let w be ((-580)\/d)\/(-5) - -4. Is w at least as big as 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -208 (base 12) to base 5\nAnswer: -2141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*b - 28*b = -1394*b - 946*b + 185640 for b.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -169*h + 337*h - 205*h + 4 + 12*h**2. Let a(i) = -37*i**2 + 112*i - 11. Let x(f) = -4*a(f) - 11*k(f). Find the second derivative of x(t) wrt t.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3*z + 44 = 0, 10750*z - 26 = -2*x + 10752*z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -4 (b) 0.27 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7820 is divided by 2566?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/10*155\/(-372)*-4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 56, 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {a: 3, w: 6, d: 6}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1335)\/110 + (-16)\/44?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**6\/120 + v**5\/40 - v**4\/4 + 8*v**3\/3 + 17*v. Let b(z) be the second derivative of t(z). Suppose b(h) = 0. What is h?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 - -2 - (33 - 14 - 18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**3\/6 - 12*j**2 - 16*j + 3. Let u = 25 + -25. Calculate m(u).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*p + 36 + 8. Suppose 0 = 3*r - p*i - 51, -4*i = i. Solve 4*c + r = 5*s, -4*s + 4*c = -5 - 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21535, 86111, 193737, 344413?\nAnswer: 538139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 1:02 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -10000?\nAnswer: -10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 + -39. Suppose -s = -5*k - 0. Let h(x) = 9*x**2 - 2*x + 2. Calculate the least common multiple of 1 and h(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 d when three letters picked without replacement from {d: 3, u: 1, n: 4, p: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**2 + d + 8*d + d**3 + 2*d**2 - 9*d**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2619 and 125421?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8484342 and 654.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 458 = -107*y + 4*k, -4*y = -3*k + 235 - 269 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 28*w + 187. Let z be m(38). Which is smaller: z or -191?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 3, 1, -6 in descending order.\nAnswer: 3, 1, -6, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -85 * 47\nAnswer: -3995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**3)\/d)\/d)\/d)**(-40)*(d*d\/(d*d**(2\/13)))**(-43) assuming d is positive.\nAnswer: d**(2127\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -969.393 plus -161.90595?\nAnswer: -1131.29895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2128 is divided by 182?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19113494 to the power of 1\/3, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*i**2 + 10*i**2 - 57*i**2 + i - 95*i**2 as y*i + u + w*i**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w - 23. Determine u(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8683.97um?\nAnswer: 0.868397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -278 divided by 2?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1968 or -1944?\nAnswer: -1944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 8*m**2 + 16*m - 125. Let x be k(9). Let i(q) = q + 69. Let z be i(0). Let r = z + x. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -12*b**3 + 262*b**2 - 4*b + 13. Let y(t) = -6*t**3 + 130*t**2 - 2*t + 7. Calculate -4*g(s) + 7*y(s).\nAnswer: 6*s**3 - 138*s**2 + 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*c - 38*c + c**3)*(24*c - 34*c - 62*c).\nAnswer: -72*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220, 218, 222, 238, 272, 330, 418?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25200953 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*v**2 - 217\/2*v - 108.\nAnswer: -(v + 1)*(v + 216)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 0 - (18 - 4) - -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p - 69*p + 11*p + 16*p + 15*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -37095, -74196, -111297, -148398, -185499, -222600?\n\"Answer: -37101*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4771 - 4772.4. What is the second smallest value in 4, t, 0, -1\/5, -51?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**2\/2 - 166*g - 13778 = 0.\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6, 3\/82, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0.4 (c) -97\/40 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(4\/3)*f*f)\/f*f**(-25)*(f\/f**(-4\/3))**(-50) assuming f is positive.\nAnswer: f**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from mwamajmjaafwmjaawf.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/6)\/(2744\/(-210) - -13). Calculate the highest common factor of k and 3355.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 12 = 2*o, 3*r + 2*r + o + 18 = 0. Calculate the remainder when 9 is divided by 17\/3 + 2\/r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2215311?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9691 is divided by 285?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1020 = 6*y - 0*y. Round y to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 2*l - 22, -5*l = -10*x + 15*x - 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 4*r + 4. Let h be x(-3). Suppose -h*z + 5*z = 4. Let g(t) = -t**2 + 3*t + 1. Calculate g(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4385\/8 + 549. Let f be 1\/(-4) - (-54)\/(-48). Let q = f + l. Which is bigger: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 15. Let u = 4.09 - 0.09. Let f be 2 + (-12 - (-304)\/28). What is the smallest value in f, u, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(245)*1)**2.\nAnswer: 3920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26595.\nAnswer: 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0035772293 rounded to five decimal places?\nAnswer: -0.00358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 29*m**2 + 4*m + 9. Let l(d) = -35*d**2 - 5*d - 10. Let p(u) = 6*k(u) + 5*l(u). Give p(-10).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + -2 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -128 + 127.7. Let z be (0 - -4)*(-1 - -2). Let j(u) = u**2 - 2*u - 4. Let s be j(z). What is the biggest value in b, s, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 5 + -2 + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117898949*o**5 + 48442763*o wrt o?\nAnswer: -2357978980*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -218 - -394. Suppose 5*f = i + 2109. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 7, -3, 24758 in increasing order.\nAnswer: -6, -3, 7, 24758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1255*p - 51. What is the thousands digit of r(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175, 404, 633, 862?\nAnswer: 1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24956 - -27653. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 11 - 2*k**2 + 12 - 22. Let d(q) = -44*q**2 + 36. Let u(i) = -2*b(i) - 2*d(i). Differentiate u(g) with respect to g.\nAnswer: 184*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71579847 times -0.18?\nAnswer: -12884372.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15250 (base 15) to base 7\nAnswer: 402216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10004.\nAnswer: 2, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*o - 12. Let h(q) = -3*q**2 - q**3 + 0*q**2 + q**2 + 1 - 3*q - q**2. What are the prime factors of h(o)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24975?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1709*o + 1799 wrt o.\nAnswer: 1709","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10215338?\nAnswer: 2, 7, 43, 71, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -3. Let f = -0.27 + 0.07. What is the third biggest value in b, f, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.41179 - 33298.\nAnswer: -33300.41179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-3\/7)))\/l*l\/l**(-3\/4) assuming l is positive.\nAnswer: l**(9\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by 2650?\nAnswer: -21\/2650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1*5)\/((-21)\/(-147))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 11. Suppose 3*j - 26 = -2*g, q*g - 8 = 4*j + j. Solve g*t - 2*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 212696042 and 2392?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 - 33. Does 2 divide (o\/8)\/((-27)\/36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -640771305 and 11.906.\nAnswer: -640771293.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129860 - 0.23.\nAnswer: -129860.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -997 + 15*j**3 + 997.\nAnswer: 15*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1149 + 1710*g**2 - 924*g + 226*g**2 + 967 - 3925*g + 801*g = 0. What is g?\nAnswer: 23\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(60)*3)\/(sqrt(768) + (sqrt(768) - (sqrt(768)*-2 + sqrt(768)))) + 3*(sqrt(5)*-1 + 0 + sqrt(5) + sqrt(1125) + sqrt(45)).\nAnswer: 217*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1412507\/40 + -282495\/8. Solve -1\/5*l**3 + 2\/5*l**2 + w*l - 8\/5 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -727, -732, -737, -742, -747?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733696761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 5*i = 45, -51 = -5*p + p + i for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74478417.\nAnswer: 3, 13, 1909703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022101021020 (base 3) to base 11.\nAnswer: 436232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-56)\/9 - (-6)\/27. Let k = p - -10. Suppose n = r - 1, -k*n + 2 + 2 = 0. Solve -5 = -s - r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2877 by -2.\nAnswer: 2877\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 19042 + 19036 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*k = 28*k + 82*k - 6326 - 5761 for k.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j + 27*j - 44*j - 4 + 21*j - 38*j.\nAnswer: -12*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - 27. Let a = q + 36.999995. What is a rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 17*o - 76. Is x(-23) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyyt when four letters picked without replacement from {y: 9, t: 7}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 + -41. Calculate the greatest common factor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 148 by 148.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*10\/6)\/(2\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -65*s. Let f(c) be the second derivative of -c**3\/2 + 425*c. Let j be (1 - 11)*(-9)\/(-2). Calculate j*f(z) + 2*o(z).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 1 + 1 - (6 - 2 - 18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*x - 2. Let h = x - -7. Let o = 8 - 5. Solve o*s - h = 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.02 + 0.02. Suppose 21*d - 75 = 6*d. Let i be d*(-22)\/(-60) + -2. What is the third biggest value in 1, -0.3, m, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3 = -d, 0*z - 5*d + 15 = 2*z. Let q be (14 - 8) + -3 + z. Suppose -q*g = -4*g + 22. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o - 3264 = -4*o. Which is smaller: 0.1 or o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 33*v**2 + 95*v + 101. Let z be h(30). Let f = -15 + 23. Suppose -z = f*x - 835. What is the remainder when x is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5692649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1222636 by -4.\nAnswer: 305659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 64*n**2 - 10*n - 2. Let o(f) = -3*f**2. Calculate k(o(v)).\nAnswer: 576*v**4 + 30*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1226\/3 + -8606\/21. Is p bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.11 (b) -3\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73*-13*29\/(290\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1704, 3645, 5586, 7527, 9468, 11409?\nAnswer: 13350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1240*j**2*v**2 + 195*j*v + 2*j - 21*v**2 + 36 wrt j.\nAnswer: 2480*j*v**2 + 195*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -26. Let l = 15.93 - x. Round l to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6945*v - 11. Let b(u) = u. Calculate b(z(x)).\nAnswer: -6945*x - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2092066550 to the power of 1\/2, to the nearest integer?\nAnswer: 45739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214695894 divided by -1614.\nAnswer: 133021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21332.\nAnswer: 2, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/345839 and 99\/47744476.\nAnswer: 1766545612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-8)*(-506)\/55*1\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6 + 2*g - 3 + g - 2. Let a be v(1). Suppose a*z = 29 + 15. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -110521.35 + 1.8.\nAnswer: -110519.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5028\/18)\/(4\/6). Suppose -383 = -4*q - w, -3*q + 4*w - 146 = -r. Calculate the greatest common divisor of q and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmmmttmttdmt. What is prob of sequence ttdt?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -3352.216 to the nearest ten.\nAnswer: -3350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10 - (-18)\/30. Suppose 0 = 2*i + 5*a - 9, -7*i + 2*i = a - 11. What is the tens digit of i + l - -1*9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142193990 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303171.\nAnswer: 3, 11, 9187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -81 + 39697003021\nAnswer: 39697002940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -235 + 1643\/7. Which is the nearest to q? (a) 5 (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -15*d + 78. Calculate the least common multiple of 3 and w(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2135090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/611442 and -62\/621.\nAnswer: 14063166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7142*m + 291*m - 2104*m.\nAnswer: 5329*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-3)\/i*i))**(-1\/35)*(i*i*i**(1\/9))\/(i\/(i**(-5\/2)\/i*i)) assuming i is positive.\nAnswer: i**(-947\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 minus -3.63?\nAnswer: -25.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 162834.5 - -197.\nAnswer: 163031.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41712677?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/(sqrt(9)*-4 - sqrt(9)))\/sqrt(4).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 6*z + 726. List the prime factors of g(0).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1785a (base 16) in base 4?\nAnswer: 113201122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*c - 333 + 681 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 3*s + 12. Let o be m(6). Let j be 51\/45 + (-4)\/o. Suppose -3*v + j = -8. Solve -5*r - 4 = -3*q - 2, 3*r = v*q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 - 3*i**3 - i**3)*(-3*i + 0*i + 2*i) - 7*i**4 - 2*i**3 + 2*i**3 + (15*i - 58*i - 63*i)*(4 - 4 - 2*i**3).\nAnswer: 207*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1756 or -1753?\nAnswer: -1753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s - 1\/5*s**3 + 8\/5*s**2 - 10.\nAnswer: -(s - 5)**2*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5 = 3*a, 3*a = 2*a + 5*u + 15. Solve -a*j - 2 = 2*i, 4*i + 5*j = 4 + 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253754957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*o + 13 = 0, 5*l - 2*o + 4*o + 1 = 0. Suppose -6*j + 8*j = 152. Factor -l - 71*g + j*g + g**2 + 5.\nAnswer: (g + 1)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emsemmmmeeeurermeu. What is prob of sequence sue?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 8*z**2 - 8*z - 8. Let y be i(9). Let b(x) = x. Let u(o) = o**2 + 4*o + 2. Let l(f) = y*u(f) - 4*b(f). Let q be (0\/10)\/((-1)\/1). Give l(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 bigger than 411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32477\/71120 + 1\/2032. Let q = u - 13\/30. Is 1 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18905, 36605, 54305, 72005, 89705, 107405?\n\"Answer: 17700*h + 1205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 548352 and 6912?\nAnswer: 1645056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-1)\/3 + 1 + 190\/(-42)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 495*w**4\/2 - 16914*w**3 - 94023*w**2\/2 + 18300*w + 1278 = 0. Calculate w.\nAnswer: -3, -2\/33, 2\/5, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - l**2 + 15. Let n be 2\/8 + (-4)\/16. What is the remainder when (8\/(-10))\/((-1)\/35) is divided by d(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8433b (base 14) in base 3?\nAnswer: 121012111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390038 is divided by 179.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 403225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 403, 670, 1109, 1720?\nAnswer: 2503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -644 + 5*a - 685 + 1268. Determine c(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5859 divided by -63?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.14 in 0.5, 440, 233?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 + -6 + 1 + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 341 - 8*(-3)\/18*-3. Suppose 5*k = 2*v - 0*v - 319, 2*v = -k + f. List the prime factors of v.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4795 is divided by 4760.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 221 + -208. Suppose -5*f - g + 7 = 0, -14*f = -9*f - g - v. Solve 5*b - f*w = 1 + 6, 0 = 3*b + 5*w + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -207, -430, -661, -906, -1171?\n\"Answer: -k**3 + 2*k**2 - 222*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**4 + 3688*a**3 - 29*a**2 - 20*a wrt a?\nAnswer: 24*a + 22128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1281859035 by 95.\nAnswer: 13493253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 15, -5*q = 4*f - 15 - 16. Solve -2*a + f = -4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.6, -3, 1, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = u + 5*v + 26, 2*u + 2*v = -4. Let t = 52 + -59. Let l be (-5 - t)*3\/(-6). Sort l, -2, u.\nAnswer: -2, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -163489*h**2. Let w(n) = 11*n**2. Calculate z(w(r)).\nAnswer: -19782169*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3859688 divided by 8.\nAnswer: 482461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**3 + 20405*g**2 - 5054870*g - 5075280 = 0 for g.\nAnswer: -1, 266, 3816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 1090814, -4 in decreasing order.\nAnswer: 1090814, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 386, 765, 1154, 1559, 1986?\n\"Answer: x**3 - x**2 + 375*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 240 = -n, -5*b - 4*n = -n + 260. Let o = b - -25. Let a = o + 36. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1575 and 720.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/6*(-17 - -3447)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -236 (b) 5.4 (c) -0.2 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**3 + 3833*d**2 - 1063432*d + 1059600 = 0.\nAnswer: 1, 300, 3532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/((-3*sqrt(432) - sqrt(432)) + sqrt(432)) + 0 + sqrt(720) + -3 + 5)**2.\nAnswer: 430*sqrt(5)\/9 + 232421\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 7 = 2*s - 5, v - s = 0. Let t(x) = 5*x - 7*x**2 - x + 8*x**2 + v. Let w(h) = -3*h**2 - 7*h - 5. Let m(n) = 5*t(n) + 2*w(n). Calculate m(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-25)\/(-1) - 2\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 15*x**2 - 30*x + 8*x + 17*x + 28*x**2 + 7*x.\nAnswer: 15*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + t + 24. Let a be d(5). Suppose 3*s - 137 = 5*p + 460, -4*s + a*p = -788. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.00516 (b) 2\/5 (c) 0.1 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 + 4*t. Let h(s) be the first derivative of 0*s - 7\/2*s**2 - 29 + s**3. What is -3*h(d) - 5*r(d)?\nAnswer: d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j. Suppose 2*o = 2*m, 2*o - 4 = -2*o + 2*m. Let g(b) = 8*b**2 - 2*b**2 - 4*b**o. Determine i(g(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - i = -40. Let o be (-2)\/(-8) + 22\/i. Are 3 and o nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1499, 1505, 1511?\nAnswer: 1517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2\/7 - 56*c - 768\/7.\nAnswer: -4*(c + 2)*(c + 96)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -136 + 221. Calculate the common denominator of (y\/5)\/((-28)\/12) and 1390\/112 + 4\/(-14).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*p + 27*p = 76 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 8*n**2 - 2 - 4*n**2 + 4*n - n**3 - 3*n**2. Let v be l(-2). What is the highest common factor of 26 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s = -15. Suppose -6*v + 3 = -s*v + 3*c, 5*v - 3*c = -3. Solve -b + 0*b - 5 = v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.824 + -14.1. Let a = x - -0.2931. What is a rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/1247 in -0.4, 4, -0.5, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1466 divide 107255492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 889437 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7456*z**3 + 6146*z**2 wrt z?\nAnswer: 44736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/1*113\/(1130\/(-9))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-3)*(-51)\/(-272)*-8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8868300 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61572 and 492?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(-1*sqrt(8)*4) + ((sqrt(38) - 1*sqrt(76)\/sqrt(2))\/sqrt(2))**2 - (-2*sqrt(2432))\/((sqrt(2) + sqrt(32) + sqrt(2))*-3).\nAnswer: -41*sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((-36 - -35) + 19 + 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3341575 (base 9) to base 14.\nAnswer: -34b820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9728 less than -72?\nAnswer: 9656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, h: 3, m: 2, v: 4, l: 1, d: 4}. What is prob of picking 1 l and 1 m?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 211788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 411093730 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -8*i - 3. Let q be z(-1). Solve -9 = -q*r + 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 5 = -n, -f - n = 4*n + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33*(-2379)\/1287 + -27.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 7. Let a be j(-6). Let r(u) = -6*u - 2. Let b be r(a). What is the derivative of -2*f**b + 1 - 4 + 2 wrt f?\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z = -975. Let r(w) = w**3 + 3*w**2 + 2*w + 50. What is the remainder when z is divided by r(0)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 9*k - 8. Let z be f(-8). Let t(o) = -o**3 - o**2 - o + 3. Let a be t(z). Solve -4*v + 3*y - 9 = 0, -a*v + 4*y - 3 = 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486343\/99 - 8\/(-18) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/392 and 129\/140.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 0.3, 4\/7, -0.5 in increasing order.\nAnswer: -0.5, 0.3, 4\/7, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -2. Let m be 30\/(-25)*(-5)\/g. Suppose 39 = m*z - o, -3*z + 60 = z - 4*o. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261636851?\nAnswer: 7, 17, 229, 9601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in months?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*j - 1, -5*o + 37 = 2*j + 12. Suppose -3*f - 5 = -14. Calculate the highest common divisor of f and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -165653*y + 631157 wrt y.\nAnswer: -165653","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-77)\/(-55))\/(-7))\/((-4)\/(-10))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 94*l + 39. Is 5 a factor of c(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -90544*y. Let k(w) = 1500*w. What is x(k(n))?\nAnswer: -135816000*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302*w = -303*w + 614*w - 1647. Solve 20*t - w = -103 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13133 (base 4) in base 16?\nAnswer: -1df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1172270*i*o*t - 2498*i*t - 2*i - 13*t wrt o.\nAnswer: -1172270*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/7 - 1143*f**2\/7 + 9000*f\/7 - 17904\/7.\nAnswer: 3*(f - 373)*(f - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p - 196. What is r(41)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 386305477 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 168*t**2 + 6652*t + 306. Determine l(104).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven eighths of a kilometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7177404 divided by -4.\nAnswer: -1794351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 25 + 27*o**3 - 145*o + 2*o**3 + 150*o. Suppose 2*j - 2 = -6. Let c(i) = 15*i**3 + 2*i + 13. Let s(z) = j*b(z) + 5*c(z). Differentiate s(y) wrt y.\nAnswer: 51*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*s - 88*s - 25*s + 780 = 0. Let y = 16 - -15. What is the remainder when y is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.4 + -7.4. Let w = 1.7 + 0.6. Let v = -0.4 + w. Which is the third biggest value? (a) 1\/4 (b) x (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1424836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/23, -0.1, -3, -0.38?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6615547?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 4)*(-21 + 21 + 13*w) in the form b*w + t and give b.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/37776 and 7\/172353?\nAnswer: 2757648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**3 + 90*m**2 + 58*m + 297. Give d(-22).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*z + 8 = 0. Suppose z*f - 5*k - 46025 = 0, -3*f + 65450 + 3560 = -2*k. What is f rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2097*h - 2837*h + 1669*h - 1453*h.\nAnswer: -4718*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 33046, 67163, 101292, 135439, 169610, 203811?\n\"Answer: y**3 + 34110*y - 1065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -5)*120\/45. Let b(k) = 11*k**3 + 8*k**2 - 28*k - 8. Let g(f) = 4*f**3 + 3*f**2 - 9*f - 3. What is z*g(s) - 3*b(s)?\nAnswer: -s**3 + 12*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*m - 1033 = 931, 0 = -2*r + 4*m - 3952. Is 4\/(-10) - r\/50 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a factor of 5756762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*190\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*b - 21198, 2*r + 15442 = 5*b - 19888. Is 81 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -422 (base 7) in base 3?\nAnswer: -21212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1988 and 0.4.\nAnswer: -795.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 67*z**7\/42 - 91*z**4\/12 - 95*z. What is the third derivative of m(u) wrt u?\nAnswer: 4020*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190442 = 52*t + 90202. Let a = t - -16616. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 - 21*u - 25. Let h be v(-12). Let s(c) = 10*c - 13. Let p be s(10). Let z = p + h. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m**2 - 4*m - 4. Let d = -24 - -17. Let b(u) = -10*u**2 + 2*u + 5. Let v(w) = 21*w**2 - 3*w - 10. Let s(a) = d*b(a) - 3*v(a). Give -5*s(o) + 6*x(o).\nAnswer: o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 4, q: 15}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94247, 188465, 282679, 376889, 471095, 565297?\nAnswer: 659495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3812486?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*p - 225, 0 = 5*p + 17*b - 20*b + 383. What is the second smallest value in 5, -5, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/14*483\/(-345))\/((-2)\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -v - 51 + 69, -2*v + 30 = -2*s. Suppose 2*i + 129 = 3*i. What is the remainder when i is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m. Let t(a) = -874255*a. Give t(u(o)).\nAnswer: 4371275*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 570602756984 - -0.17.\nAnswer: 570602756984.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + ((-1 + sqrt(272) + -4 + 3)**2 + (sqrt(272) - (sqrt(272) + 3*-2*sqrt(272)) - sqrt(272)) + (-1*sqrt(272)*-2 - sqrt(272)))*2).\nAnswer: -2196 - 64*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(13) + 5 - (-1 + sqrt(13) + -5)) + -3 - (sqrt(208) + sqrt(208)*-1 - (sqrt(1300) + -1 - sqrt(1300) - sqrt(1300))**2))*-1.\nAnswer: -1308 - 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -4. Let s(n) = -84*n + 1427. Let l be s(17). Put o, -3, -0.07, l in increasing order.\nAnswer: -3, l, -0.07, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.5 + -1.5. Let s = -333 - -339. Suppose 5*m = -s*m. What is the third biggest value in -2\/13, m, u?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -202 + 202.3. Let s be -2 + 4\/(-14) + 2. What is the smallest value in s, d, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2111602 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5164923281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*m**2 + 50*m**2 - 446776*m + 446776*m.\nAnswer: 137*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert aaa (base 12) to base 10.\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, q: 1, i: 1, l: 2, u: 2, g: 2}. Give prob of sequence lji.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 100807201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17232628*q**3 + 17232624*q**3 - 16*q**2 + 74*q**2.\nAnswer: -4*q**3 + 58*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -202 - -212. Calculate the least common multiple of (0 - (-56)\/d)\/(64\/160) and 77.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14606 + 14746. Calculate the smallest common multiple of 665 and m.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259158\/3445 >= 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-2 + 2 + -2). Calculate the remainder when 28 is divided by (-5 + (-15)\/(-9))\/((-2)\/z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 3*o**2 + 0*o**2 + (-3*o - 2*o + 3*o)*(-3 + 3 + o)*(-2108 + 3286 - 15974).\nAnswer: 29591*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 3*a**2 + 99*a - 263. Calculate the remainder when 6388 is divided by x(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 106*n**4 - 2623*n + 2623*n + 22 wrt n.\nAnswer: 424*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 10 = -50. Let p be g\/(-26)*(-34)\/(-85). Let o = -0.2 - 0.3. What is the smallest value in 3\/8, o, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 - 5*f**2 - 4*f - 2. Calculate the remainder when i(-3) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*n = -11, 2*n - 3 + 20 = -a. Let v(g) = -3*g - 14. What is the units digit of v(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + 3 - 3 + (1 - 2 + 3)*(15 + 26*j - 15) + j + 1 + 5*j - 3*j + 3*j + 3*j - 4*j + 0*j - 2*j + 0*j + (-1 + 4 - 2)*(0*j - 4*j + 2*j).\nAnswer: 51*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 3 (c) 193 (d) -3\/5 (e) -0.1 (f) -1\/4 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5814 to the nearest ten.\nAnswer: -5810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.149333 months in millennia?\nAnswer: 0.00034577775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5 + (sqrt(147) + -1 - sqrt(147))*-3 + -1))**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + 1)*-2*(-24)\/(-64).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -18. Suppose -p + i + 10 = 0, -s*p = -2*i - 2*i - 34. Calculate the greatest common factor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 - 3.8. Let g = r - -4.5. Let p = -0.06 - -0.56. What is the second biggest value in p, g, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lghl when four letters picked without replacement from {l: 2, d: 1, h: 1, g: 2, x: 1, b: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1189 is divided by 577.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3189, 12770, 28749, 51138, 79949, 115194, 156885, 205034?\n\"Answer: 2*v**3 + 3187*v**2 + 6*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.07, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 4085, 4, 8 in ascending order.\nAnswer: 0, 1, 4, 8, 4085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*(-3)\/(-9))\/((-1)\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 203843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25149538?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 16688*w**2 - 33392*w.\nAnswer: 4*w*(w - 2)*(w + 4174)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/14)\/(46\/322). Suppose -180 = i*k - 15*k. What is the remainder when (-4)\/(-14) + (-1952)\/(-28) is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 295 - 294.999999693. Round o to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 12, 0, 1, 17006, -3 in descending order.\nAnswer: 17006, 12, 5, 1, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3188702 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 14) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((12\/2)\/(440\/44))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 4) to base 2\nAnswer: 1000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 2. Let c be (0\/4)\/(-3 + 2). Let n be u(c). Suppose 2*i = -5*x + 51, n*i - 2*x + 34 - 106 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 173, -4 in increasing order.\nAnswer: -10, -4, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4325747 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 550 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*a**4 - 19*a**2 - 253 wrt a.\nAnswer: -20*a**3 - 38*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + -5. Let n = b - -13. Suppose n*o = -8*w + 5*w + 16, 0 = 2*w - 2*o - 4. Solve 0 = 5*c + 5, -c + 7 = -w*t - 4*c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, c: 5, y: 2}. What is prob of picking 2 y and 2 c?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1189405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + 12*q + 3. Give x(-8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 + 32*g - 5. Determine s(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -2*n**3\/3 - 19*n**2 - 68*n + 158. Solve l(v) = 0 for v.\nAnswer: -17, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 5. Let r(h) = h**3 - 6*h**2 + 9*h - 4. Let g be r(4). Suppose -5*w + 33 = 2*s, -3*s + 4*s - w + 1 = g. Is s not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8123 in -1\/7, 1\/5, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6) - 5\/(-3). What is the units digit of ((-4)\/(-3))\/(u\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/8 + 2 + (-5567)\/(-76). Let j = a + -68. Let p = 18 - j. Calculate the remainder when 24 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -922.2, 4\/3, 1.03?\nAnswer: 1.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, h: 16, g: 1}. What is prob of picking 1 g, 2 h, and 1 j?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 60. Determine f(-3).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 6:52 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*b + 3*b - 18, -5*s - 10 = -5*b. Let k = b + -3. Suppose 0 = -k*i + 2*i + 1. Solve -3 = 5*f - 2*l + i, -f = -5*l - 13 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9140 divided by 9140.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from {a: 11, f: 1, n: 1, e: 1, w: 2}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 73*u - 70*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 21 + 6. Let s(r) = -2*r + 21. Let h be s(q). Suppose h*f - 2*b = 246, 0 = 2*f - 5*b - 208 + 33. Is f a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {q: 10, w: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 plus -27307694413?\nAnswer: -27307694376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from {t: 1, d: 1, e: 1, m: 2, b: 4}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10540267 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: Which is the third smallest value? (a) -1 (b) 2\/9 (c) 0 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 47 = 4*u + 56, -35 = -3*m - 5*u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 10*d - 1. Suppose 0 = -3*h - h + 8. Suppose -m = h*m - 21. What is the smallest common multiple of m and b(1)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - (-3 + 12)) + 5. Solve u = m - 0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000657912155 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**2 - 15*i**2 + i**2 + 7*i**2 - 3*i**3.\nAnswer: -3*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, r: 3, x: 7}. What is prob of picking 2 g and 1 x?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1421194 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**5\/20 + a**4\/3 + 5*a**3\/6 - a**2 + 22*a. Let f be l(-3). What is the second smallest value in 3\/7, -4, 0, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/(-396)*15\/(-2)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/13680 and 109\/2964.\nAnswer: 177840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 12225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 10*s**2 - 26*s - 13. What is f(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -185*o + 128. Let k be s(4). Let d = 612 + k. Sort -1.5, d, -3 in decreasing order.\nAnswer: d, -1.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/11746040 and -173\/17619060.\nAnswer: 35238120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/50530 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320)\/sqrt(8))\/sqrt(4))\/(sqrt(30)\/sqrt(24)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15 - 0 - 5*6\/15. Suppose -d*v + 432 = -7*v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4 + 7*t**3 + 11*t**2 - 7*t - 12 = 0. Calculate t.\nAnswer: -4, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14215 rounded to three dps?\nAnswer: -0.142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -554 divided by 872\nAnswer: -277\/436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2448)*-1 - 2*sqrt(2448)*-5 - (-2 + (sqrt(2448) + 1)*4))*-4*4)**2.\nAnswer: -61440*sqrt(17) + 15668224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 45430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23281171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-32)\/66)*(-4)\/3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 2*a**3 - 597. Let v(q) = 162*q**2 + 1. Give x(v(z)).\nAnswer: 157464*z**4 + 1944*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*x - 41, 4*x - 60 = -4*f + 12. What is the greatest common factor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110545260 and 55.\nAnswer: 1215997860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/42 and -161\/66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 6) to base 15.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 141*g*z**3 + 45*g + 2*z**2 wrt z.\nAnswer: 846*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 12. Let r(x) = -x**3 + 6*x**2 + 48*x + 31. Let i be r(-4). Let d(u) = u + 1. What is i*v(z) + 12*d(z)?\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-6*sqrt(132)\/sqrt(6) - sqrt(22)))\/(sqrt(18) + (sqrt(18) - (sqrt(18) - 1*sqrt(18)))*-3))**2.\nAnswer: 539\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1700) + 0 - (sqrt(1700) - (0 + sqrt(1700) + 5)))**2 + ((sqrt(2448)*1)**2 - (1*sqrt(17) + -1)**2) + 5.\nAnswer: 182*sqrt(17) + 4216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.3 + -9. Let q = 0 - 0.2. Let d = y - q. Which is the second biggest value? (a) 4 (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 116 = -6*g. Suppose -5*k - 5*p = -9 - 1, 3*p = -2*k + 2. Let o(d) = 3*d + 3. Calculate the remainder when g is divided by o(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 313, 5115, 13015, 23929, 37773, 54463, 73915?\nAnswer: 96045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -9 + -3 + 13 + -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m. Let q(a) = 87*a - 9 + 10 - 1. Determine x(q(w)).\nAnswer: 87*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (i + 3*i - 5*i)*(35 + 4 + 11)*(4*i - 3*i - 2*i) + 119*i**2 - 3*i - 2*i**2 - 56*i**2 in the form r*i + j + x*i**2 and give x.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (7 - 3)) + 0 + 1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n + 3. Let w(o) = -3*o + 11. Let f be w(6). Let y be t(f). Let j = y - -31. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is fc9 + -de?\nAnswer: eeb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -388913\/180 and -2162 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24755*-3.\nAnswer: 74265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28376*h*m - 17863*m wrt h.\nAnswer: 28376*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*c**2 + 22*c**2 + 25*c**2 - 12*c in the form n*c + a*c**2 + s and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 185*s - 13*s - 6264 for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 43 = -11 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 0. Let j = 0.53 + -0.03. Let i = j - 0.2. Which is the nearest to 1\/3? (a) o (b) i (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1921 is divided by 218.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.4 + 8. Let o = -0.2 + b. Let u = -0.45 - -2.45. Sort o, -3, u in ascending order.\nAnswer: -3, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 61, -1 in descending order.\nAnswer: 61, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence siif when four letters picked without replacement from {f: 1, i: 1, m: 1, h: 2, s: 2, q: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 8. Let w be m(6). Let s be (-16)\/w + -4 + 8. Let x(c) = -37*c + 9. Is x(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 12*p - 24. Is 3 a factor of t(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 30*b**2 + 4*b + 2. What is h(-1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*w**3)*((-5 - w + 5)*(-1 - 3 - 3) - 2*w - 2*w + 3*w).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i + 17*i - 79*i + 22*i + 20*i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + k + 3. Let w be f(-7). Suppose 0*z - 3*z = -w. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 2532.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, h: 1, x: 4, o: 1, u: 4, r: 3}. What is prob of picking 1 x and 1 h?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21272 (base 13) in base 4?\nAnswer: -32211212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5 - 54*u**4 - 470*u**3 - 1050*u**2 + 4000*u + 15000 = 0.\nAnswer: -10, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 13482?\nAnswer: 26964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, -3, 5976, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 928\/(-1360) - ((-10)\/(-85) + 1 + -1)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-114)\/(-260) - 4\/(-10). Which is greater: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h + 8 + 5 + 9 - 19.\nAnswer: 3*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m - 1. Let b(k) = 2*k + 2. Let i(y) = -4*b(y) - 9*q(y). Let w be i(-1). Let u(g) = 1 - 9*g + 0*g + 5*g + w*g. Determine u(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2920 is divided by 954?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28.3 - -27. Let c = h + 0.3. Let m = 10 + -9.97. What is the closest to c in -2\/9, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*q)*(11 - 11 - 3*q**3)*((-3 + 3 - 1)*(1 - 3 + 3) + 10 - 52 - 70)*(3 - 3 + 2*q).\nAnswer: -1356*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-35 + 20 - (14 + 1)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-24284)\/13076)\/(1\/(-21))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.025 - 1.025. Let u = 8 - 14. Which is the nearest to 0.1? (a) u (b) 3\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*6\/(-10)*755\/453. Solve 0 = 3*q + x*h + 2, 4*q + 3*h - 11 = 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000183215 rounded to seven dps?\nAnswer: -0.0000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1667 (base 9) to base 11.\nAnswer: a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -503*m**7\/7 - m**5\/20 - 1919*m**3\/6 + 4198*m. Find the second derivative of p(o) wrt o.\nAnswer: -60360*o**3 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from qxsqsss?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24871?\nAnswer: 7, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 5*a**2 + a - 6. Let m be s(-6). Let g = -627 - -617. Find the common denominator of g and (141\/(-2))\/(m\/2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (150*r + 153*r - 409*r + (3 - 2 + 0)*(-7 + 5*r + 7))*(-r**2 + r**2 + 2*r**2).\nAnswer: -202*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*u = 507 + 1580, 0 = -4*v + 3*u + 8283. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -98580*i**2 + 1182955*i + 60 = 0.\nAnswer: -1\/19716, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5262\/1770 + (-14 - -11). Are b and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37+30.8\nAnswer: 67.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (72\/42)\/(2\/7). What is the highest common factor of 9 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315099?\nAnswer: 3, 157, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/3)\/((-18)\/27). Let w be (-15 + 0)\/3*h. Solve 5*l + 25 = -w*c, 2*l + 0*c = 4*c + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -3*z**2\/2 - 4*z - 1. Let d(s) be the third derivative of -s**4\/24 + 4*s**2 + 1. Let u(k) = 4*d(k) - o(k). What is u(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 121 - 82.7. Let w = l + -33. What is w rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 519240146 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/4, 2\/13, -3, 13, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 55, -2\/61305, 0.5?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 847 is divided by 86.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.486 + 8.786. Which is the nearest to -3? (a) 3 (b) -5 (c) f (d) -77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17499574.\nAnswer: 2, 8749787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -1. Let o(m) = -2*m**3 - 2*m**2 - 3*m - 4. Let r be o(-1). Which is the nearest to v? (a) 1\/3 (b) 0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 10010101002?\nAnswer: -10010100220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*k = -62*k + 67*k + 423 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.225*-0.1.\nAnswer: -0.0225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 203 - x**3 - 3*x - 190 - 9*x + 10*x**2. Let w be j(9). Let y = -12 - w. Solve y*a - 5*a - 7 = n, 5*a = 2*n - 19 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*j + 6. Suppose j*g + 9 = 2*d + g, -d + 5*g = 0. Suppose 4*m + 4*u - 20 = 0, -u = 4*m - 3 - 2. Solve -5*c - 10 = -t - 1, m = -3*c - 2*t + d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooogggooo. Give prob of sequence ogg.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47200945 + -66110945. Round h to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t**3 - 3*t**2 + 2*t + 2. Let r(h) = h**3 - 55*h**2 + 20*h**2 + 34*h**2. Calculate 3*r(w) - x(w).\nAnswer: -3*w**3 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u**3 + 21*u**2 - 763*u - 2488. Determine w(-3).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -8. Suppose -21*d + 18*d = 141. Let x = d - -83. Calculate the highest common factor of v and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2487360*a**3*v**3 + 361291*a**3*v**2 - 564*a**3 - 4*a*v**3 wrt v.\nAnswer: -14924160*a**3 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -257, -904, -1911, -3278, -5005, -7092, -9539?\n\"Answer: -180*u**2 - 107*u + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25261.3 plus -194?\nAnswer: -25455.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by 10\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2074 >= 2074?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i - 40 = -4*n, 0 = -3*n - 2*i + 35. Suppose n = 3*x - 75. Let z = 48 - x. Calculate the smallest common multiple of z and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.581 * 0.071.\nAnswer: 0.325251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42431 is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/12474 and -6\/16355?\nAnswer: 204012270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*x**3 - 112*x**3 - 306*x**3 + 47*x**3.\nAnswer: -442*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -14 (b) -0.1 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -483?\nAnswer: -1\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p + 3*p + 0*p + 2*p**4 + (54*p**2 - 8*p**2 - 6*p**2)*(0*p - 2*p**2 + 0*p).\nAnswer: -78*p**4 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.2 - -3.200044. Round y to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from ufuq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -85, -166, -257, -364, -493, -650, -841?\n\"Answer: -w**3 + w**2 - 77*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**2 + 2*f - 6. Let a(r) = r**2 + 1. Let t(x) = 4*a(x) + j(x). Let z be t(-3). Suppose 15 = 1317*m - 1320*m. Sort z, 12, m in decreasing order.\nAnswer: 12, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*m - 4*m = -773, -4*m - 8 = 0. Let p = 427 - k. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-4\/9))\/n*n)**(-2\/85)\/(n\/n**(-3)*n*n**(-4)))**(-2\/23) assuming n is positive.\nAnswer: n**(1582\/17595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 + 25. List the prime factors of 3 + (-1 - (2 + u)).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4682174424 to the nearest integer?\nAnswer: 1673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/3, -1, 2, 2\/5 in descending order.\nAnswer: 3, 2, 2\/5, 1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 7*t**4\/24 + t**3\/6 + t**2\/2 - t. Let l(o) be the first derivative of d(o). Let f = 8 + -7. What is l(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-3\/14)*r)\/r**(-5))\/(r**(3\/2)*r*r\/(r*(r*r*r*(r*r**(-6\/7))\/r*r)\/r)))**(-21))**(-30) assuming r is positive.\nAnswer: r**3420","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 15, j: 3}.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - 2 - (19 + (-10 - 29) + 39)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22)\/(-99) - (1803\/(-513) - -3). Is i > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21123614 is divided by 7417.\nAnswer: 7415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 663 and 624.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4057 is divided by 1342?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4767625 divided by 7.\nAnswer: 4767625\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*sqrt(153) + (2 + sqrt(153))*-6)*-6*6*2.\nAnswer: 1152 + 1080*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152 (base 9) to base 2.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -14. Let w = l + -12. What is the highest common factor of w and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 9*i - 17. Let j be a(7). Let x be -1*(-1 - -4) - j. Suppose x*w - w - 4 = 0, 56 = r - w. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 60 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4552*a - 60. Let d(k) = 910*k - 11. Calculate -3*c(p) + 16*d(p).\nAnswer: 904*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 1 - 15 = -3*l, 3*b - 12 = 4*l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 12*l**2 + 56*l - 5914. What are the prime factors of z(64)?\nAnswer: 2, 41, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 e when three letters picked without replacement from {e: 11, j: 9}?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 + 22*l - 26*l - 5*l**3 + 3*l**2 + (-3 + 2*l + 3)*(-2*l**2 + 0*l + 0*l).\nAnswer: -9*l**3 + 2*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 570*q - 417. List the prime factors of b(4).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*b**3 - 105*b**3 - 66*b**3.\nAnswer: 25*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/46468 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*o - 12 = -47, -2*l - 5*o + 14 = 0. Let g(z) = 2*z - 10. What is g(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 46*b**3 + 8*b**2 + 4*b + 42. Let y(j) = 92*j**3 + 18*j**2 + 8*j + 96. What is 9*l(c) - 4*y(c)?\nAnswer: 46*c**3 + 4*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 5, -6, 0, 934, -0.068, 0.9?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2. Let j(f) = -4*f**2 - 10*f. Let s(x) = j(x) - 3*t(x). Let g be s(-7). Let y = 389 + -390. Which is greater: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 303 + -284.9. Let j = s - 18. Which is the nearest to 1\/4? (a) j (b) -3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 + -6)\/((-147)\/36 + 4). Suppose m*x + 460 = -11*x. Are x and -20 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2\/v)**(1\/6)*(v**(-1\/6)\/v)**(-26) assuming v is positive.\nAnswer: v**(61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f**2 + 2*f + 1. Let o be u(-1). Let y be ((-1 - 2) + o)*1. Let n be 0 + (y + -2)\/1. Solve n = -t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/7 and 19\/1443.\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*l - 2221*l - 70319 + 19366 - 177935 = 0 for l.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*k + 741*k**2 - 24044*k**3 + 24046*k**3 + 1376*k**4 - 40*k wrt k?\nAnswer: 33024*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110110100000011101110 (base 2) to base 9.\nAnswer: -3322048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -521 + 3?\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (98\/245)\/(18\/(-10))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.18 and -8.8465?\nAnswer: 1.59237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2051, 4093, 6125, 8141, 10135, 12101, 14033, 15925?\nAnswer: 17771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -333 and -2?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -72, 58, 428, 1146, 2320, 4058, 6468?\nAnswer: 9658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 912459 is divided by 91245?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92*g + 60*g - 49*g + 4*g**2 + (4 + g - 4)*(3 - 3 + 2*g) to the form h + m*g + o*g**2 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-16))\/(4\/(-272)). Let j = 3 + x. Let d = j - 55. Which is smaller: d or -3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2530936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3299315910?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7202.\nAnswer: 2, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1814754969.\nAnswer: 3, 269, 249863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1921 less than or equal to -0.214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3535*t**3*x**3 - 2*t**3*x + 12176*t**3 - 2*t*x**3 + 101*t*x**2 - 2709*x**3 - 2*x wrt x?\nAnswer: 21210*t**3 - 12*t - 16254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37790\/47 - 804. Let y(i) = i**3 + i - 1. Let l be y(0). Is l greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 33*b**2 - 36*b + 119. Give u(34).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -0.027 (c) 2 (d) -25 (e) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.13 - -14. Let w = s - -0.03. Let z be ((-37)\/(-74))\/(3*(-1)\/(-3)). Which is the closest to z? (a) -0.5 (b) w (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 73, 96, 111, 112, 93, 48, -29?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-54))\/((-205)\/2214)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-26) - (-1776560)\/(-817050)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 564 = 360. Calculate the highest common divisor of q and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*r - 3*r + 98*r + (11*r - 3*r + 0*r)*(1 - 4 + 2).\nAnswer: 97*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13929 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001101 + -101?\nAnswer: 110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*b - 126 = 49. Let r be 3\/(-3*(-1)\/5). What is the remainder when (62\/r)\/(2\/20) is divided by b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 33 = -4*z, -2*z - 66 = 4*v - 50 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 7:04 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 4*z + 119. What is u(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2\/2 - 129*o + 508 = 0. What is o?\nAnswer: 4, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(-110)*4\/(-12)*(-66)\/4\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q**3 + 39*q**2 - 142*q + 229. Determine s(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121.1 - 123.1. Let t = 0.24 + -0.54. Put -0.5, i, 1\/6, t in ascending order.\nAnswer: i, -0.5, t, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/7 + (-17 - -22)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-4*1*sqrt(18))\/((sqrt(54) + sqrt(54)*1)\/sqrt(9) - sqrt(6)))**2*4*4.\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1826*n - 449 + 633 - 660 - 3176. Let i = 0.32 + -0.02. What is the nearest to n in i, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(98)*-1 + (sqrt(50) - sqrt(150)\/sqrt(3))) - (sqrt(288) + -1 + sqrt(8)\/sqrt(64))*2)**2.\nAnswer: -126*sqrt(2) + 3977\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a factor of 168811307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1246881, 2493766, 3740651, 4987536?\nAnswer: 6234421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-4)*12\/10. Let g be 3 + 6\/i - 2. Suppose -2*d + 21 = -w, -5*d - g*w = -10*d + 55. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 12 = o - 4*s, 5*s + 30 = -5*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 509 = -16*k - 5555. Let y = -216 - k. List the prime factors of y.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3820534022?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 155156337 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4)\/(10\/4). Let j = 2.94 - 0.87. Let q = -0.07 + j. Which is the closest to 0.1? (a) -3\/4 (b) q (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.8 (b) 72 (c) -2 (d) -5 (e) -0.53 (f) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 7. Suppose s*y - 64 = y. What is the remainder when 29 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33.2? (a) 3\/4 (b) 2 (c) -11\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 10*b + 4. Let v = -40 - -44. Give n(v).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 1076.\nAnswer: 4304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(216)\/(sqrt(90)\/sqrt(5) - sqrt(2)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -609 by -29.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -205*o - 498*o - 2222 - 944*o - 695*o with respect to o.\nAnswer: -2342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14209826.4 rounded to the nearest one thousand?\nAnswer: 14210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 68 = -72 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1046 and 1.\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, k: 7, w: 1}. Give prob of sequence xk.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-16\/7))**(-5\/3)\/(o\/o**(-10)*(o*o*o**(3\/31))\/o) assuming o is positive.\nAnswer: o**(-5395\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -57*i**2. Let q(l) = -2292*l**2. Determine q(t(j)).\nAnswer: -7446708*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -31466 times 1411?\nAnswer: -44398526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ookk when four letters picked without replacement from okokko?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 1121342?\nAnswer: 1121344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -410418*y**3\/13 + 42269430*y**2\/13 + 373264*y\/13 + 824\/13 = 0. Calculate y.\nAnswer: -2\/453, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5\/11 + 2700*k**4\/11 + 210868*k**3\/11 + 373128*k**2 + 3485326*k\/11 - 7803300\/11 = 0. Calculate k.\nAnswer: -37, -2, 1, 1425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 6:12 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -230.09947 less than -0.0085?\nAnswer: 230.09097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-4)*(-2 + 0). Suppose 5*z - q - 4 = k, -z = 4*q + 11. What is the remainder when (5 - z)\/((-6)\/(-21)) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdrq when four letters picked without replacement from {z: 2, w: 4, v: 1, d: 2, q: 2, r: 3}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*b - 159, 4*b - 3 - 1 = 0. Let t = 84 + h. Calculate the remainder when 23 is divided by (16*2\/4)\/(-2) + t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -8082792?\nAnswer: 1\/2020698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 957 is divided by 302.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 376*n**4 - n**3 - 907*n**2 + 4*n. Let l(q) = -q**4 + q**2 + 2*q. Let m(a) = -2*l(a) + u(a). Find the third derivative of m(d) wrt d.\nAnswer: 9072*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 934.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 + 39 - 106 + (0 - 1 + 0)*(0 + 1 + 1))*(7*b + b**4 - 7*b).\nAnswer: -17*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -172135877 and -11.\nAnswer: -172135888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -61*k + 6 + 67*k - 32*k. Give r(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 14*g - 10. Let t be i(-10). Suppose -8*k + 42 + t = 0. Suppose -9507 = -k*l + 11490. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 w when two letters picked without replacement from {z: 3, x: 4, q: 3, t: 2, a: 6, w: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 5 + -1 + -6 + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10003 + -20131310?\nAnswer: -20141313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1 = 7. Let n = 38 - 35. Differentiate -1 - n*w**z + 12*w**2 - 6*w**2 with respect to w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k**3 - 103*k**2 - 5*k - 2. Let t(b) = 12*b**3 + 205*b**2 + 12*b + 5. Give -5*h(w) - 2*t(w).\nAnswer: w**3 + 105*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-34)\/3)\/((-24)\/36). Suppose 3*u = 5*o + 4*u - d, 28 = 4*o - 4*u. What is the smallest common multiple of 10 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1546212 and 147412?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ecedddcd?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 a when four letters picked without replacement from {f: 3, a: 1, q: 3, j: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/13))**(-7\/10)\/(r*r\/(r**2*r))**(-43) assuming r is positive.\nAnswer: r**(-2788\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 5:53 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 5) + (-23 - -2) - (1 - 7).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0312 rounded to three decimal places?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34809684 rounded to four decimal places?\nAnswer: -0.3481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-74)\/(-6) - (-2)\/(-6). Does 5 divide (1*52\/v)\/((-10)\/(-30))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4077451 is divided by 471.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + (-2 - -18) - (-9 + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0413 times -2.7\nAnswer: 0.11151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2262 and 1392?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2db90 (base 15) in base 8?\nAnswer: 440427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-1 - -2)) + (-11 - (10 + -26)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -4\/140218617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 11*v**2 + 29*v - 6. Calculate the remainder when u(13) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 2*b = -2, o - 5*b + 3*b - 1 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1.2. Put 3, m, 4 in increasing order.\nAnswer: m, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**6*m**2 - 1386*g**3*m**3 + g**2*m**3 + g**2*m**2 + 2*g**2*m + 56*g*m**3 wrt g?\nAnswer: 240*g**3*m**2 - 8316*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 21. Which is the biggest value? (a) -1\/4 (b) u (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -37. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 n when two letters picked without replacement from {m: 3, n: 3, z: 1, w: 4}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/4)*x)**(-2\/17)\/((x*x\/(x**(1\/2)\/x))\/x*x)**(-28\/5))\/((x**1)**(3\/2))**(-1\/21) assuming x is positive.\nAnswer: x**(1643\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22 + (2 - 1) + 1. Let s be (2\/(-8))\/((-42)\/q). Suppose 6 + 10 + 11 = 9*g. What is the closest to s in 5, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7\/6, 5, -17, 0.02, -0.3, -1, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5253*z**2 - 28*z + 165. Is d(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -744*p + 730*p + 49154 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8.20574mg?\nAnswer: 0.00820574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (2 - 0) + -56. Calculate the remainder when (-4 + 3)*l - 3 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/(-60) - 14\/10) + 3. Let m = -167\/65 + 36\/13. Which is the nearest to m? (a) v (b) -0.4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -3) + -15 - (-116 + 116)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 112165 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10997 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ya when two letters picked without replacement from {a: 17, y: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4065*u + 6*r + 4 = 4061*u, -5*u - 18 = r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**4 - 2*s**4 - s**4 + (2 + s**3 - 2)*(2*s + 3*s - 4*s) + 30 + 25 + 2*s**4 - 26*s**3 - 32.\nAnswer: 5*s**4 - 26*s**3 + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -102, -174, -244?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 102\/(-25)*615\/24. Let l = 501\/5 + g. What is the common denominator of 73\/20 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -10*y**3 + 197*y**2 + y - 2. Let p(r) = 116*r**3 - 2166*r**2 - 10*r + 23. Determine 2*p(w) + 23*s(w).\nAnswer: 2*w**3 + 199*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from lsewkkef?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2862064.\nAnswer: 2, 113, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-3) - 26\/(-3). Suppose -w*s - 194 = 886. Let y be s\/304 + (-4)\/38. Is y < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 + 14*r - 32. Let t be w(-9). Solve -c = -3*q + 6*q - 2, t*q - 4*c - 24 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (41 + -47)*(-1)\/2. Suppose -9*y + 4*y - 10 = 4*j, -2*j + r*y - 16 = 0. Let m(b) = b**2 + 5*b + 1. Give m(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4654633474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 - -133. Suppose 5*n - 86 = -r, 4*n - 6*n + 36 = 2*r. Calculate the remainder when s is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (297\/22 + -16)*(0 + (-6)\/5). Let g(v) be the first derivative of 1\/3*v**h + 30 + 25*v + 5*v**2. Determine d so that g(d) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -179\/7120, 3, 4\/3 in descending order.\nAnswer: 3, 4\/3, -179\/7120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15819169*s**4 + 4*s**3 + 124336541*s**2 wrt s.\nAnswer: -379660056*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51120\/26 - 1\/(26\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2260987.\nAnswer: 109, 20743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 + s**3 - 5*s**3 + 50 to t*s**2 + j + o*s**3 + n*s and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 - (-24 - 50) - 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1156*k**3*q**4 - k**3 + 437*k*q**2 - q**2 wrt q.\nAnswer: -27744*k**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/144*-8)\/((242\/(-55))\/(12\/(-5))).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**2 - 1. Let m(l) = l**2 + 1. Let g(r) = -4*m(r) - x(r). Determine g(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 14 - 8*m + m**3 - m**2 - 28 + 3*m**2 in the form h*m + f*m**2 + r + w*m**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.73 and -0.025.\nAnswer: -0.06825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**5\/20 + s**4\/8 - s**3\/6 - s**2. Let c(r) be the first derivative of n(r). What is the remainder when c(3) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/50*((-515)\/(-105) + -5).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 + 7*p - 2. Let o(i) = -4*i**2 - 7*i + 3. Suppose -124*a + 118*a - 18 = 0. Calculate a*c(h) - 2*o(h).\nAnswer: -h**2 - 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (171 - (-340374)\/(-1988)) + 26\/154\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 87\/2, 2, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.129 - 14.729. Let h = b - -9.6. What is the third biggest value in h, 11, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1.272.\nAnswer: 1.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 1. Let f be t(0). Let x = -62.5 - -63. Let h = 0 - 4. What is the closest to f in x, h, -3\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u + 5*u + 5*u)*(11*u**2 + 17*u**2 + 11*u**2)*(-6*u - 2*u + 1 + 0) in the form l*u + p*u**4 + t*u**3 + m + b*u**2 and give p.\nAnswer: -1872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 85*f**2 + 10*f + 16. What are the prime factors of i(-4)?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21312 + 21301. Let h(c) = -14*c - 165. Determine h(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -21, -47, -81, -123?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/25, -1022\/9, -1\/8 in ascending order.\nAnswer: -1022\/9, -1\/8, 1\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 17*l + 23. Let r be m(-16). Let u(b) = b**3 - 7*b**2 + b - 4. Let y be u(r). Suppose 4*w - 89 = y*w. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 7 = 8*q. Let r(x) = x**3 - 5*x**2 + x - 1. What is the remainder when r(6) is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one twentieth of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 = -7. Let u(q) = q + 8. Let h be u(n). Suppose h = 4*w - m - 20 - 49, 2*w + m = 33. Solve 0 = -2*z + 6, -4 + w = -4*l + 3*z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4070069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047703 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 + 15*b - 3. Let x(u) = 4*u**2 - 29*u + 6. Let w(m) = -5*c(m) - 3*x(m). Let g be w(6). What is the closest to -0.1 in 4, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1310.4 - -1310. Let j = 0.19 + -0.09. Which is the nearest to j? (a) -10 (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9))\/1*36\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 11\/65258?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2514568 divided by 4648.\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24396372 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10220020 (base 3) to base 15.\nAnswer: c96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -0.4, -0.8, -1 in descending order.\nAnswer: 0.06, -0.4, -0.8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 - 6*o**3 + 33*o**2 + 36*o.\nAnswer: -3*o*(o - 3)*(o + 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 9*2\/6 + 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(7) - -5*(sqrt(7) - sqrt(63)))**2.\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 q when four letters picked without replacement from cffcqcc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 - -0.6. Let x be (-22)\/18 - (0 + -1). What is the nearest to g in -3, -0.3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -225 and 2.974753995.\nAnswer: -222.025246005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 - 20*j - 117. Determine c(-6).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 388249 and 199.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 882 + -760. Calculate the remainder when k is divided by 122.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 27*n + 105. Let f be m(-24). Suppose -23*z + f*z = 0. Solve -7*y + 9*y + 10 = z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(147))**2 + (sqrt(30)\/(sqrt(50)\/sqrt(5)))**2.\nAnswer: -28*sqrt(3) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kw when two letters picked without replacement from ddskwuwdsskdss?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*i + 14*i + 3 + 14*i + 0 + 19*i.\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21917180 + -0.0133849?\nAnswer: 21917179.9866151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*o + 4 = 0, 5*r - o - 19 = 3*o. Suppose 2*s = r*s - 2, 2*s + 14 = x. Calculate the remainder when x is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 divided by 57744.\nAnswer: -3\/3208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/842186278 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+42036.360006\nAnswer: 42036.260006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.622934 nanograms in milligrams?\nAnswer: 0.000009622934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 971148 by 242787.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2220111 (base 3) in base 12?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1859129 and 75737?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -220 + 363. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (13774\/(-11) - (-24)\/132)*-13?\nAnswer: 2, 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**4 - 17*m**3 + 38*m**2 + 2 - 2*m + 25*m**2 + 3*m**4 - 183*m**2 to v + x*m**4 + b*m + i*m**3 + p*m**2 and give p.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -13335.32 to the nearest 10.\nAnswer: -13340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(156)*6 + sqrt(156) + sqrt(156)*1*-1)\/(sqrt(120)\/(-3*sqrt(10))*5))**2.\nAnswer: 4212\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -243 divided by 68174.\nAnswer: -243\/68174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**5\/10 + b**4\/6 - 10*b**3\/3 + 8*b**2 + 36*b + 1. Let n(s) be the first derivative of k(s). Factor n(j).\nAnswer: 2*(j - 2)*(j - 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + x**2 + x - 1. Let j(l) = -l**3 + 10*l**2 - 7*l + 80. Let i be j(10). Let z(v) = 6*v**3 - 6*v**2 - 5*v + 5. What is i*r(b) + 2*z(b)?\nAnswer: 2*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167077682?\nAnswer: 2, 83538841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -419\/5 - -84. What is the third biggest value in o, 4, -0.25?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1)*u*u)**(2\/105)*(u\/((u*u*u**(-1\/4))\/u))**(-8\/7))**(-10\/19) assuming u is positive.\nAnswer: u**(52\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8515, -8507, -8487, -8449, -8387?\nAnswer: -8295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 250503 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 + -25. Let k = 33693 + -33636. What is the remainder when k is divided by a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10610961 is divided by 35?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 25*o + 659. Let c be t(-26). Solve -3*i = -4*u - 26, c*i - 7*i - u - 9 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4 (b) -0.31 (c) 1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -160, -273, -388, -505, -624, -745?\n\"Answer: -i**2 - 110*i - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 8\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 + -5 - 6)\/(17\/(-2))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/15 of a minute?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**3 + 4*p. Let n(v) = 6*v**2 + 8*v - 60. Let h be n(-4). Suppose 4*z = z - 33. Let g(d) = 8*d**3 + 11*d. What is h*g(s) + z*x(s)?\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/7 + 12*x**2 - 792*x\/7 - 1936\/7.\nAnswer: -2*(x - 22)**2*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108264 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: Put together 0.2 and -3.821.\nAnswer: -3.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 1972.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 15175 = -5*q, 5*z + 45*q - 37895 = 49*q. What is the greatest common factor of z and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**3 + 9*i**2 - 8*i + 3. Let l(p) = -2*p**2 - 1 - 11 - 8*p + 10*p + 11 + p**3. What is -9*l(f) - 2*o(f)?\nAnswer: -3*f**3 - 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25250 and 61004.\nAnswer: 7625500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 - 1 - 12)*(-l**2 + 3*l**2 + 2*l**2) in the form r*l + n*l**2 + h and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -7 - ((-4)\/22 - 1638018\/198)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -130 and 76.0551.\nAnswer: -9887.163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93976 and 15787968?\nAnswer: 15787968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1927*i**4 - 1 - i**2 + 2*i**2 + 43*i - 1925*i**4 + 315*i - 64*i to the form z*i**3 + w + b*i**4 + y*i + d*i**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 4:21 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -2 + 0 + 2. Let l = u + 3. Suppose 3*f = 5*t - 5, 2*f + l = 4*t - 0*f. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1894528375098 and 2.9.\nAnswer: -1894528375095.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*p - 14, 9*d + 2*p = 5*d + 20. Let c(k) be the first derivative of -7\/6*k**3 - 5 - 1\/2*k**d - 1\/2*k**2 + 1\/2*k. Factor c(n).\nAnswer: -(n + 1)**2*(4*n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1754649062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -1636997 and -1636996 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**5\/9 - 58*m**4\/9 + 130*m**3\/3 + 170*m**2\/9 - 1072*m\/9 - 88 = 0. Calculate m.\nAnswer: -1, 2, 11, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3814919 + -2678874. Suppose 3*a - y + 1932132 = 0, -3*y = 5*a - 8*y + 3220210. Let d = x + a. Round d to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19.604 - 23.104. Which is bigger: 1\/137 or m?\nAnswer: 1\/137","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v - 120 = 0. Let u = -322387\/403015 + -5\/80603. Which is the closest to -1\/2? (a) -4 (b) v (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from keegkeze.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 46 + 25 - 5*k - 646*k**2 - 23*k.\nAnswer: -646*k**2 - 28*k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02425? (a) -2\/17 (b) -4 (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 6:43 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 11. Let p be 3\/(-15) + 2\/10. Let g be 6\/4 - 1 - p. What is the biggest value in g, o, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18104 divided by -34822\nAnswer: -9052\/17411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 55\/(-4290)*12\/(-4)\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 + 11*j - 19. Suppose -2*u + 2*m + 3*m = -13, 3*m = 4*u - 33. Calculate the remainder when z(u) is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -465 = 6*o - 2937. Let c = -400 + o. Solve -8*u + 11*u = -c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 24\/90079225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.1214111 to 2 dps.\nAnswer: -14.12","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((-6 - -16) + -19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272799900.\nAnswer: 2, 3, 5, 33679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7*h - 56. Let a(v) = v**2 - v + 4. Let w be a(4). Does 8 divide m(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -6*a + 22. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2*z - 146349, -4*k = 24*z - 21*z - 585451. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-125)*5)\/(1\/5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 153 in -0.3, 4, 1, -1\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 283372 or 283377?\nAnswer: 283372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 16. Let f be 4 + 7 + d - 4. Suppose 17 + 35 = f*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(190)*-6 - sqrt(190))\/sqrt(10))**2.\nAnswer: 3211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6025565 divided by -354445\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from muqucuxxmxuujuxx. Give prob of sequence xcum.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 6*v**2 + 6*v + 6. Determine r(-8).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1942 + -16?\nAnswer: -1958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*q - 26 = 0, 5*n - 18 = -0*q + q. Suppose k = n*r - 2*r, 1 = 2*k - 3*r. Suppose -2*a + 3 + 3 = 0. Which is smaller: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2181655217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by (57 - 51)\/(10\/15).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78788280 and 80580?\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/(-15) - (-178)\/(-40) and -3\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3 + 25. Let f = -1 - a. Suppose -f*u + 12 = -2*u. Solve -m + u*m = -6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*k - 26, -17 = -3*o - 2*o + k. What is the remainder when 49 + o\/(3\/(-3)) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 0)*(-2*n**2 - 3 + 3) + (-n - 4 + 4)*(6*n + 33 - 33) + 40*n**2 - 2*n + 3*n - 1 + 2*n**2 as f*n**2 + c + i*n and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 - 3*r**3 + 2*r + 7*r**3 - 4 - 3*r**3 as d*r**3 + t*r + s + z*r**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 83*w - 3. Let j(p) = 5*p**2 - 415*p + 17. Calculate 22*d(h) + 4*j(h).\nAnswer: -2*h**2 + 166*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**4\/12 - 5*o**3\/6 - o**2\/2 - 11*o + 7. What is z(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9548 take away 324213.41?\nAnswer: -314665.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0.1. Let s = -40036 + 40038. Which is the nearest to w? (a) -5 (b) 0.5 (c) s (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/2)\/((-17)\/102))\/((-84)\/(-280)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3348*o - 3350*o + 623*x + 3107 = 0, -5*o = -4*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12947 - 47*z**3 + 12947)*(4 - 2 - 5).\nAnswer: 141*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -32. Let t = -3 - u. Suppose 3*m = 2*z - 15, -4 + 27 = -t*m + 4*z. Let n(j) = j + 10. Calculate n(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 308.61578 less than -1.6249?\nAnswer: -310.24068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -259*y + 475. Let q = 2 + 4. What is the highest common divisor of y and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4160*j**5 + 6176*j**4 + 22716*j**3 - 11872*j**2 + 1372*j + 24 = 0.\nAnswer: -2, -1\/65, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (1 + -5 - (-19 - -13))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from {l: 1, i: 1, u: 2, j: 2, y: 1, m: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b - 7. Let c be f(-10). Suppose 0 = x - c*r + 7 - 17, 41 = 3*x + 2*r. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**11)\/y)\/y**(7\/2) assuming y is positive.\nAnswer: y**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 62398, 124791, 187188, 249595, 312018, 374463, 436936, 499443?\n\"Answer: s**3 - 4*s**2 + 62398*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9676505 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: Expand 0*h**3 - 2*h**3 + h**3 + (-209*h**3 - 5262*h**2 + 5262*h**2)*(1 + 1 - 4).\nAnswer: 417*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 997*x**6 - x**5 + 1419*x**2 wrt x.\nAnswer: 119640*x**3 - 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 173383724 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196562 and 783.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -9\/4. Let i = 54556\/3 - 18186. Which is the nearest to -1? (a) 2\/5 (b) t (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5109, -319.7, 4.\nAnswer: -319.7, 2, 4, 5109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*u - 26586 = -192*u. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 minus 0.052?\nAnswer: 15.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 6*g**2 + 5. Let w be f(6). Let r(i) = -i**3 + 6*i**2 + 4*i - 7. Let u be r(6). Suppose -3*y + 12 = 5*j, -3 = -w*y + j + u. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4 - 2. Suppose 4*s - 24 = -y, -4 + 92 = 5*y + 4*s. Suppose -h*o + o = y. Let f(n) = -2*n - 10. What is f(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 27*r**2. Let i(g) be the first derivative of 73*g**3\/3 - 369. Determine h(i(m)).\nAnswer: 143883*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 0*q**2 + 51 + 0*q + 14\/3*q**3. Let y(m) = 2*m. Determine y(w(f)).\nAnswer: 28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 318\/6 - (-10)\/(1 - -1). What is the greatest common divisor of k and 986?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 8 + (-1 + 1 - 1)*(-2 - 2 + 6))*(11*k + 0*k - 3*k)*(2*k - 3 + 3)*(k - 1 + 1).\nAnswer: 112*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -74262\/11 less than -7\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122924?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkdkczkkkckczkzzxcxx. What is prob of sequence dxc?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 6) + 1 - (2 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -3*n - 8. Let i(y) = -7*y**2 + 11 - 3 - n*y**2 - 2*y - 7*y. Let m(o) = 8*o**2 + 8*o - 7. What is 6*i(z) + 7*m(z)?\nAnswer: 2*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -790.9999409 - -791. What is p rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -9*z**2 - 57*z - 11. Calculate t(-7).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -8*n**2 - 6*n - 23. Let m(a) = 3*a**2 + 2*a + 8. Let i(d) = 17*m(d) + 6*u(d). Determine i(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 295.1, -2, 8, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 9:59 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -25*n**2 + 8*n - 6. What is p(1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1024894*j - 252468*j + 929603*j + 1159115*j.\nAnswer: 2861144*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 4:48 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10415, -18704, -26993, -35282, -43571?\nAnswer: -51860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2066842927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2082?\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -1, 347798, -2\/7?\nAnswer: 347798","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p**3 - 3*p. Let u(l) = 3*l**3 + l. What is -3*k(c) - 7*u(c)?\nAnswer: -3*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*1 + (0 - -3). Suppose w = -i + 445, 3*w - 4*i = -r*w + 2225. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1421 and 111157.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 11*s**2 - 11*s + 14. Let q = -6 - -8. Let j be (48\/(-36))\/(q\/18). Calculate the remainder when r(j) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 84 = 4*n - 104, n + 13*h - 5 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 4*l**5\/45 - 31*l**4\/6 + 734*l**3\/9 - 391*l**2\/9 - 1058*l\/3 - 426. Solve d(q) = 0.\nAnswer: -1, 3\/2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + o**2 + o + 29. Determine x(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.81 in -100, 1, 3, -3, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -215201 + 368*f + 215201 as t*f + p and give t.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -2511, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -460 - -462. Which is the fourth smallest value? (a) p (b) 7 (c) 1\/4 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 4*w**2 + 3*w + 1. Suppose -4*c - q + 12 - 18 = 0, -5*c - 5*q = 0. Let u be v(c). Solve -u*s + 4*r = -8, 6*s - 2*r = s - 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -248242, -5, 0 in decreasing order.\nAnswer: 0, -5, -7, -248242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 76, 89, 102, 115?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -10*p - 3. Let l be a(-1). Let g(b) = b**2 - 7 - 5*b - b + 8*b**2 - b**3. List the prime factors of g(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6918956*v**2 - 6918820*v**2 + 300 - 299.\nAnswer: 136*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 13 + -3 - 2 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, e: 1}. What is prob of sequence je?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77 - 77.3. Sort -45, 2, k in ascending order.\nAnswer: -45, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8395501, -9, 0.4 in descending order.\nAnswer: 0.4, -9, -8395501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppjppjjpppppjjppj. Give prob of picking 4 j.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 1331935518.\nAnswer: 9323548626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5922 and 2772?\nAnswer: 130284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -4. Suppose -4*a + 4 = 4*j, 4*j + 1 = 3*a - 2. Let k be 1\/a*0\/3. Is h less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 223 + -217 - (-5 - (0 - 1 - (1 - 1)))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232*b - 210*b - 4201 - 21759 = 0. What is the highest common factor of 50 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1242099 is divided by 2313?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -120a?\nAnswer: -1205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 4*v**2 - v - 7. Let r be g(-4). Find the common denominator of -71\/20 and (0 - -4) + -3 + r\/(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millimeter in micrometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/48142224 and -89\/5349136?\nAnswer: 48142224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, 12, -3134 in increasing order.\nAnswer: -3134, -7, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6825391 (b) 1\/4 (c) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-111)\/(-3)*-2)\/((-17)\/459*-54)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -258227?\nAnswer: 1\/258227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-75) - 1144\/30. Let f = l + 125. Let v = 168 - f. Is 27 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -8*i - 3*i. Solve 8*b = i*b + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5863, -8702, -11541, -14380, -17219, -20058?\nAnswer: -22897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + -10 + 4 - -30) + -7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p, 11*s + 2*p = 14*s - 1455. Let x = s + -8243\/17. Sort 3\/4, x, 0.5, 0.2.\nAnswer: x, 0.2, 0.5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415465 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 - -62. Suppose -g*q = -36*q + 4719. Is 33 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-168)\/(-9))\/(6\/27). Suppose -66*g + 67*g = j. What is g rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -7. Let a(p) = 9*p - 1 + 4*p - 14*p. Let t(g) = -4*g + 24. Let u(v) = c*t(v) - a(v). Differentiate u(l) with respect to l.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -67133 > -2483939\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 789769 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -423 + 449. Suppose -z*k + 20*k = -54. Suppose -2 = -3*t + 4*t. Which is the closest to k? (a) 2 (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.09 - -0.09. Let p = 10 + i. Sort p, -0.5, -7 in decreasing order.\nAnswer: p, -0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -33 and -188.\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.4 take away 0?\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -20*y**2 + 23*y - 20. Let x = 60 + -43. Let z(q) be the first derivative of 7*q**3\/3 - 4*q**2 + 7*q + 4. Give x*z(h) + 6*l(h).\nAnswer: -h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -77785 less than or equal to 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1271307.7137 rounded to the nearest ten?\nAnswer: 1271310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o. Let j(k) = 18186484*k**2. Give j(u(m)).\nAnswer: 72745936*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 4. Let u = 5 - 2. Suppose u*w = s, 3*s = 5*w + s. Sort w, y, -2 in decreasing order.\nAnswer: y, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5218634 = -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - (3\/3)\/1. Which is the second biggest value? (a) -2 (b) m (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 168*b + 2093 = 0 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2. Let j(p) = 4*p**2 - 5*p. Let q(z) = 5*z**2 - 6*z. Let l(b) = 6*j(b) - 5*q(b). What is a(l(y))?\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 122 - 210. Let f = -80 - z. Suppose -8 + f = -x. Solve x = 2*l + 3*o - 19, -39 = -5*l - 5*o + 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1002079.\nAnswer: 13, 19, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-two fifths of a micrometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5283*f**2 - 287*f - 5287*f**2 + 287*f.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2271 is divided by 84?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*j - 14, -5*j - 4 = -4*a + 7. Sort a, -2, 3 in decreasing order.\nAnswer: 3, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 13*i**2 - 35*i - 6. Let v be t(9). Suppose 2\/3 + 2\/3*x**v + 2*x**2 + 2*x = 0. What is x?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2057)*-1*1)**2.\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6441953 is divided by 2147317.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148, 174, 200?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 110*z + 2 - 4 + 512*z as j*z + y and give j.\nAnswer: 622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -2*h + 273. Suppose 0 = -5*p + 118 + h. Calculate the remainder when p is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 55.5 from -0.12.\nAnswer: -55.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 3032832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*q*x**4 - 1330815*q*x**3 - 137*q*x**2 - q*x + x**2 - 2*x - 7947 wrt x.\nAnswer: -240*q*x - 7984890*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 10, q: 1, u: 8}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.40535 rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 639000 + -249209573\/390. Let c = 8\/39 + t. Find the common denominator of (-2)\/(-5) + (-138)\/(-40) and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 10*f - 12. Let k(y) = y**2 - 5*y + 6. Let x be k(5). Is i(x) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from vffdmfmmvyfvf.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 155143535 (base 6) in base 11?\nAnswer: 1972189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -68 in -0.3, 0.5, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 505373928 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i. Let u be s(6). Let z = 5 + u. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y**2 + 9*y + 11. Let r(f) = -17*f**2 - f - 1. Let d(q) = -48*q**2 - 7*q - 8. Let b(i) = d(i) - 3*r(i). Determine 9*b(a) + 4*u(a).\nAnswer: -a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 10*y + 12. Let o(l) = -50*l**2 + 1. Determine o(b(j)).\nAnswer: -5000*j**2 - 12000*j - 7199","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 + 6 - 4 + 15*x**2 - 11*x**2 wrt x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -96753, 39\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/18*3 - 10\/4. What is the third biggest value in -2\/33, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -14. Let g = -15 - -10. Which is the closest to g? (a) 0.3 (b) i (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 51.\nAnswer: -11\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*o + 10 - 10)*(2 - 4 + 0 + 96 + 108 - 152 + (-3 + 5 - 3)*(1 - 3 + 4)) + (-2 + 3 - 3)*(2*o + 2*o - 3*o).\nAnswer: 382*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0.1, 3, -2, 0.6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 14263445400 to the nearest 1000000.\nAnswer: 14263000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**3 + 3*i**2 - 3*i - 11. Let h(b) = b**3 + b**2 - b - 4. Suppose 5*a - 4*d = 79, -5*d = 4*a + 8 - 63. Let m = a + -4. Determine m*h(y) - 4*p(y).\nAnswer: -y**3 - y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 49 = -5*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2597396 and 544.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 - -69. Let i = 420 - 481.4. Let l = i - b. Round l to 0 dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/3)\/(-1*(0 + 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 3*f + 7. Give l(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 6*l**3 + 2026*l**2 - 674*l + 655. What is b(-338)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 210 (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.7, -0.1, -0.5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/3944 and 39\/15776.\nAnswer: 15776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 8. Let i be (-57)\/(-12) + (-6)\/8. What is the third derivative of 3*h**i - h**4 + 3*h**2 - b*h**2 wrt h?\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -303 - 150351?\nAnswer: -150654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*a + 46*a + 2880 = 3*a for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1021.18 - 1035. Let y = f + 1.72. What is y rounded to zero dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 893359.2ml to litres.\nAnswer: 893.3592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552200 is divided by 3367?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34229 divided by -62?\nAnswer: -34229\/62","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 3*u**2 + u - 9. Let v(t) = t**2 - t. Let m(k) = -f(k) - 3*v(k). Let j be m(-2). Put -15, -2, j in decreasing order.\nAnswer: -2, j, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3697*s - 3441917. What is j(-931)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 25. Let i(h) = 14 - h + h**2 - 3*h**3 + b*h**3 + 4*h - 7*h**2. What is the units digit of i(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -8*d. Let t(q) = -5*q - 24 + 13 + 11. Give u(t(c)).\nAnswer: 40*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggfnignefefffeee. What is prob of sequence gfgi?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-185)\/(-15))\/((-1)\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-5)*4400\/(-165)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -14. Let c(t) = -t**2 - 5*t - 2. Let z be c(-6). Let r be ((-26)\/z)\/(6\/120). Calculate the highest common factor of r and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 - (-5 + 6 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -202 + 234. What is the highest common divisor of 416 and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 5931.58.\nAnswer: 1779.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.269669 to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -162*k*w**4 - k*w**3 + 2*k*w + 3309*k + 24*w**4 - w**3 + w**2 wrt w?\nAnswer: -3888*k*w - 6*k + 576*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 i when three letters picked without replacement from {i: 4, k: 3, q: 4, u: 4}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/6)\/(3\/(-90)*1). Calculate the greatest common divisor of 100 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -2*b + 3, -2*k + 15 = -7*k + 4*b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -22*l + 10. Let w(f) = 18*f - 8. Let z(o) = 4*k(o) + 5*w(o). Let q(i) = -60*i + 23*i - 25*i + 1. What is z(q(r))?\nAnswer: -124*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 291512681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*t - 2*t, 2*t = -5*m + 18. Suppose 2*p + m = 10. Solve -p*f + 14 = 5*o, o + 8 = 2*f + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d - 33 + 75. Let o be -2*(1 + (-7)\/2). Suppose 32 = o*a + d. Solve -3*f + 12 = y - 1, -3*f = a*y - 17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -4. Let n = -5 + g. Let y = 9 + n. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/1359149 and 27\/6054391.\nAnswer: 66598301","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 38 + 2. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**3 + 32*c**2 - 57*c - 60. What are the prime factors of w(-18)?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7029 and 12771?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -425 + 668?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7 + 12)*(3*r - 3*r - r + r + 3*r - 6*r + 0 - 3*r + 0 + (2*r - 3*r + 4*r)*(-1 - 1 + 1)).\nAnswer: -180*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 2906.88512 and -569.\nAnswer: 2337.88512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from ohoncoooc?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192807.\nAnswer: 3, 37, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - g - 3*g)*(-5 + 2 - 5).\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 117456848+-4368\nAnswer: 117452480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, k: 1, c: 2, b: 7, z: 1}. What is prob of picking 3 b?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12311 + 30003?\nAnswer: 102320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -347.612751?\nAnswer: -173.8063755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*f + 44*f - 214 = 2466 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/13, 37\/2, 14\/9, 6, -1 in descending order.\nAnswer: 37\/2, 6, 14\/9, 1, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r - 3. Let g be d(2). Let m be (9\/(-18))\/(g\/(-6)). Suppose 4*a - 2*a - 3 = -s, -m*a + 3*s + 27 = 0. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 32*r**2 - 35*r - 1110. Determine m(-32).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 460642 (base 7) to base 2.\nAnswer: 10100000000100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -967*l**8\/48 - l**6\/120 - l**5\/60 - 5*l**4\/24 - 73*l**3\/6 - 6811*l**2 - l. What is the third derivative of k(x) wrt x?\nAnswer: -406140*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -766*i**2 - 753*i**2 + 1494*i**2.\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/26 (b) 0.4 (c) -2\/585\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23482\/9 + 2609. What is the second smallest value in 61, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 6:31 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (0 - (11 + -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - q = 122440, 5*u - 10*u = 3*q + 306099. Let v = 97018 + u. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 607887?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123175\/8 + 15470. Which is greater: 72 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-860)\/(-96) + 7 + (16\/2 - 24)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*k**3 - 148\/5*k + 4\/5*k**4 + 48\/5 + 156\/5*k**2.\nAnswer: 4*(k - 12)*(k - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 2*s + 42, -k - 159*s + 44 = 2*k - 156*s + 5 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aajaabaajjaajajaa. Give prob of picking 3 a and 1 b.\nAnswer: 33\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, -2\/11, 3\/10, -11\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1757702 (b) 4 (c) -6 (d) -0.5 (e) -1 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -7*i**5\/60 + 5*i**4\/24 + 2*i**3\/3 - 115*i**2 - 2. Let n(p) = 20*p**2 - 16*p - 11. What is -17*d(u) - 6*n(u)?\nAnswer: -u**2 + 11*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**3 - 10*h**2 - 14*h + 11. Let g be o(-3). Calculate the greatest common factor of g and 3124.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, q: 3, r: 4, y: 8, b: 1}. Give prob of picking 1 b and 1 y.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 7:48 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 30*p = -25*p - 4050445, 0 = -3*w - 5*p + 2430263. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -106*a + 1571. Determine q(-18).\nAnswer: 3479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhwvwwvhkhwwhwdhh. Give prob of picking 1 d and 1 v.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 50 = 5*o - 0*o, -2*o = -5*h + 135. Calculate the remainder when 47 is divided by h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 31. Let k(z) = -2*z + 62. Let i(m) = -3*k(m) - 7*n(m). Is 28 a factor of i(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -264\/5*a**2 + 35378\/5 - 1\/5*a**3 - 17157\/5*a = 0. What is a?\nAnswer: -133, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.4 + 9. Let l = h + 0.5. Is -1 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6*v = -18, 5*r + 410 = 4*v + 416. Which is the nearest to -2\/5? (a) 10\/7 (b) r (c) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29481061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*o + 2*h, 5*o - 2*h + 7 = 2. Sort -2, -4, o, -3 in descending order.\nAnswer: o, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + sqrt(500)*1*-4 - sqrt(500)) + 4*(sqrt(500) + sqrt(500) + sqrt(500)*1))\/(sqrt(120)\/(sqrt(48)\/sqrt(4)) + -1*sqrt(640)).\nAnswer: -40*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9\/20, 1\/13, -0.96, -3\/4?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 379.3328 grams in tonnes?\nAnswer: 0.0003793328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -544*s**2 + 275*s**2 + 316*s**2.\nAnswer: 47*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-19)\/3)*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 68 = -4*l + 64, p + 4*l - 36 = 0. Suppose 2*n + p = 5*n. What is the derivative of 26*c**3 - 14*c**3 - 15*c**3 - n*c**3 + 28 wrt c?\nAnswer: -33*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (392\/(-6))\/((-84)\/378)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 10 = d, -9 = 2*q - 3. Suppose d*h - 10 = -0*h. Factor 5*v**3 + 11 + 12*v - 3 - 4*v**3 - 3*v**h + 9*v**2.\nAnswer: (v + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.341 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, a: 4, t: 4, v: 3, x: 1}. What is prob of sequence atta?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5031 - 2*i**2 - 271*i**3 + 2*i**2 + 5013 + 275*i**3 - 10044.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**2*c)\/(c\/(((c\/c**0*c)\/c)\/c)*c))\/(c**(-5)\/c*c**(-1\/2)) assuming c is positive.\nAnswer: c**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9222, 36707, 82556, 146775, 229370, 330347, 449712?\nAnswer: 587471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 79c + -5?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -19085.2 rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**3 + 6*n**3 + 0*n**3 - 8*n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3604816?\nAnswer: 2, 17, 29, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 16 = -2*q - 5*h, -2*q - 2*h = 0. Let f be 1*(0 - 10) + q. Let a be (-14)\/(-6) + 4\/f. Is 1 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6758.035 to the nearest 10.\nAnswer: 6760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, 0.09, -0.4, -2\/9, 7\/5, 121, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + o + 1. Let z(b) = b**2 - 4*b. Let c(f) = -3*f**2 + 9*f + 2. Let i(h) = -3*c(h) - 5*z(h). Determine -i(k) - 6*t(k).\nAnswer: 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1542)\/1992 + 36\/48?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 12. Let s(q) = -q - 25. Let d(b) = 5*m(b) - 2*s(b). Let v be d(12). Let k = v + 54. What is the highest common divisor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14999 is divided by 7495.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/4)\/(17\/(-136)). Put 63, 1, 2, -9, s in increasing order.\nAnswer: -9, s, 1, 2, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/11 + 57408*q**2\/11.\nAnswer: 2*q**2*(q + 28704)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-60 - 1) + (-3492)\/(-288) + (-255)\/(-136)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325585987?\nAnswer: 29, 103, 109001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**5\/20 + u**4\/4 - u**3\/3 + u. Let y be h(-3). Let t = 1 + -4. Sort y, -4, t in ascending order.\nAnswer: -4, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 3*d**2 + 3*d**2)*(-1401*d**2 - 1269*d**2 + 2566*d**2).\nAnswer: -104*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 4. Let h = -28 - -30. Let i be (-2)\/h*(-33 - (-9)\/3). Suppose -2*w + i = 8*w. Give a(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81.29 + -81.19. Let f = 0.8 - 4.8. Which is the nearest to h? (a) -13 (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4*k + 0*k - 2*k)*(0*k**2 - 3*k**2 + 2*k**2) + 10*k**3 + 7*k - 7*k.\nAnswer: 8*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 5)*(2*p + 2*p - 3*p) + 2 - 58*p + 125*p - 56*p to u*p + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/50 and -19\/2352075?\nAnswer: 4704150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2292 - 2286. Calculate the greatest common divisor of 70 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*l - 4, -5*t + 17 = -0*l - l. Suppose -30 = -8*g + l*g. Let n be 625\/((g\/(-928))\/(-3)). What is n rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143559?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x = -24*x - 25, -3*c + 71 = -5*x. Suppose -5*g = -4*d + 183, g = -0 + 5. Calculate the remainder when d is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -493.8 - 0.4\nAnswer: -494.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95 + -95.25. Let t = -25.75 + g. Let m = 25.9999914 + t. Round m to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1976 + -1968. Let v = 8 - 5. Calculate the least common multiple of j and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 3. Let w = -265 + 260. What is the third biggest value in h, -5\/2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102 - -98. Let l(q) = -q + 3. Let h be l(b). Let t(g) = -g**3 + 8*g**2 - 10*g + 5. Calculate t(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*v**3 + 2715832*v**2 - 109070004 wrt v.\nAnswer: -42*v**2 + 5431664*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -8100003*t - 12. Let g be o(-4). Round g to the nearest one million.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25096 = -3*g + 25621. Calculate the greatest common divisor of 3625 and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4784867\/6 + -793830. Let t = u - 3638. Find the common denominator of -1\/143 and t.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 188, 1070, 7 in ascending order.\nAnswer: -1, 7, 188, 1070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/15*(-4383)\/(-6). Let d = o + -239. What are the prime factors of d?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11562 and 5986?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.557 - 32.557. Let d = 0.25 + -37.25. Let h = d - v. What is the closest to -1\/3 in 0.1, -0.2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 3\/5768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 96714, 193445, 290164, 386865, 483542?\n\"Answer: -a**3 + 96738*a - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15988054?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -28*b - 7. Let o be q(-2). Let k be (-10*8\/(-20))\/(2\/o). Suppose -9*g + 2*g = k. Sort -4, g, -3.\nAnswer: g, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -896*o - 79078 - 17942 = -11004 for o.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 + 53.85. Let h = -98.85 + c. Let o = h + 95.17. What is o rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**5\/5 - 9219*w**4\/5 + 835877*w**3\/5 - 17998437*w**2\/5 - 38541376*w\/5 - 19697844\/5 = 0.\nAnswer: -9309, -1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 - 2*w**2 + 3*w + 2. Let d be f(2). Suppose -d*j + 36 = -12*j. Calculate the smallest common multiple of j and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 307541752 by -378746.\nAnswer: -812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 3*b + 10. Calculate l(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*s - 12 + 257, 4*s - 195 = t. Solve -s*k = -34*k - 48 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 458326 or 458345?\nAnswer: 458345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 m when four letters picked without replacement from {m: 11, u: 9}?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48.1 - -46.1. Which is the nearest to 24? (a) k (b) 5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 37. Suppose 47 = 4*n + m. Sort n, -5, 2 in decreasing order.\nAnswer: n, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -182 by 28.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -13*u**2 - u. Suppose 5*w - 9 = 2*i, 3*w + 1 - 2 = -i. What is q(w)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*j - 576 = -3*j, -364 = 3*t + 4*j. Let v = -46 - t. Let n be 16\/(-4) + v\/18. What is the closest to -1 in 5, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266296 is divided by 6828.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 88 = -2*b - 2*b, 0 = -3*w - b + 60. Suppose -3*a - 5*v = -w, a - 5 = -v - 0. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.5 + 22.45. What is o rounded to one decimal place?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35200238?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14437772.\nAnswer: 2, 59, 131, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 5:40 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jlttllt. What is prob of sequence ltj?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -12*m**3 - 263*m. Let j(p) = -10*p**3 - 264*p. Determine 4*j(k) - 3*x(k).\nAnswer: -4*k**3 - 267*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -4*c**6\/3 + c**5\/10 - 13*c**4\/3 + 27*c. Find the third derivative of h(o) wrt o.\nAnswer: -960*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1334, 5352, 12038, 21398, 33438, 48164?\nAnswer: 65582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 4. Suppose 5*k - 2*v - 7 = -0*v, 0 = 5*k + 5*v - 35. Let f(a) = -a + 4. Let h(i) = k*f(i) + 4*w(i). Differentiate h(j) wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/111? (a) -1\/7 (b) 0 (c) -229 (d) 1 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 5:10 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(10\/24))\/(((-2)\/4)\/(2346\/(-3519))).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*((y**(3\/8)*y)\/y*y)\/y))\/y**11*y\/(y**9\/y)*y*y**(-11))**(-13) assuming y is positive.\nAnswer: y**(2951\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-11 - 1683\/(-154)). Let u(j) = -j**2 - 2*j + 3. Let y be u(-4). Let p = y - n. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -13. Let s be ((-6)\/p)\/((-1)\/4). Let b = -7 - -12. Put s, -0.5, b in ascending order.\nAnswer: s, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14792 - 14235. What is the remainder when m is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 0 - 9)*(5*y - 4*y + y) as g*y + z and give g.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 14*l - 17*l + 2661 = 0, -5*v - l = -4415. What is the greatest common divisor of v and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1118)\/(-143) + (6 - 14)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 2. Let g be (12\/(-2) - a)*-1. Suppose 0*q + q**2 + 0 + 1\/2*q**3 - 2*q**4 - 3\/2*q**g = 0. What is q?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 31\/(-5) - (-27)\/135 - -1032. Solve -4*r - 1050 = -o for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -153*c + 66*c + 59*c + 1092 for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*j**3 + 72*j**3 + 70*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -7*d + 117588, 50382 = 3*d - 10*j + 7*j. Is d a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2122 - 3?\nAnswer: 2113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91493249*g**3*v**4 - 57*g**3*v + 120*g**3 - 2*g**2*v + 13*g**2 + 3*g*v wrt v.\nAnswer: 1097918988*g**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -3\/2*h**2 - 1\/4*h**4 - 23 + 1\/4*h**5 - 1\/2*h**3 - 2*h. Let c(b) = -b**3 + b**2 + b + 1. Give 6*c(d) + 2*o(d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -728 and -79?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1af0e - -339?\nAnswer: 1b247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 w when three letters picked without replacement from wjwl?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 955*z**2 + 1070*z**2 - 2025*z**2 - 3*z - 1 + 1355*z**3.\nAnswer: 1355*z**3 - 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4\/3 - 2622*l**3 + 95210*l**2 - 547654*l\/3 + 89964 = 0. What is l?\nAnswer: -3969, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/105 and 106\/105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*f - 17. Let w be (-65)\/(-26)*f\/10. Let q be (2 - w)\/1*-1. Solve q = -o - 4*i + 11, 0 = o - 5*o + 3*i - 32 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -331.674387 rounded to two dps?\nAnswer: -331.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3231 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -125 - -132. Solve -4*m - 21 = 3*v - c*m, -v - 19 = -4*m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o. Suppose 5*x - 40 = 5. Let j(q) = 0 + 4*q + 9 - x. Give -3*f(s) - 2*j(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -5 (b) -3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/8 - 21*d**3\/8 - 141*d**2\/8 + 2485*d\/8 - 1725\/2.\nAnswer: (d - 23)*(d - 5)**2*(d + 12)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 149*n**7\/2520 - n**6\/240 - 2*n**5\/15 - 3*n**2. Let j(k) be the third derivative of f(k). Is j(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1 (b) 2\/17 (c) 16\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02049 - 0.02049. What is the biggest value in k, -5, 0.0663?\nAnswer: 0.0663","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + g - 14 = 0, -c - 486*g = -481*g + 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -t - 5*k, -3*k = -t - 4*t + 249. Suppose 0 = -4*y + t. Suppose y*r - 100 = 8. What is the remainder when 34 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35821895 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*j - 160*j + 17*j - 13419 for j.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 10*g - 10*g + 6*g - 18. Let p be t(8). Let l be (-4)\/(96\/(-3))*(2 + 0). Which is smaller: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260 = -b - 256. Let o(y) = -y**3 + y**2 - y + 1. Let h be o(1). Let n = 2 - h. Solve n = -b*j + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210 (base 4) to base 6\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -7) + (-22)\/16\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 102 = 2*a, -3*a - 110 = -5*x + 19. Let g(c) = -c**2 - 5*c - 5. Let h be g(-2). Let i be (h\/(-4))\/((-3)\/x). Solve -i*j = -4 - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 131 - 128. Suppose 0 = -3*t + v + 18. What is the greatest common factor of t and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 10*n - 3. Let u(g) = -7*g + 2. Let w(q) = 3*q - 13. Let x be w(6). Determine x*c(m) + 7*u(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6\/143*(-67210)\/46530\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140 + 182 - 31 - (79 + 1).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + -1 + -2)**2 + sqrt(1300))*-2.\nAnswer: -2618 + 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89.5 - -89. Which is the closest to -1\/2? (a) -1\/9 (b) s (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.639 and -1?\nAnswer: 0.639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -4\/161 (b) -2\/7 (c) -0.065 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 218 minutes after 7:42 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Put 2, -47, -6, -2 in ascending order.\nAnswer: -47, -6, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 92*s + 429. Give u(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*9\/108*-9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2) - (-79)\/(-2). Let f be (-50)\/o - (-1)\/(-2). Let s be (-2)\/7 + (-344)\/(-224). What is the second biggest value in -1\/4, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 413 + -411. Suppose 2698 = q*z - m, -3*z - 3*m + 3168 = -879. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (z + 0*z - 3*z)*(0 + 0 - 2 + (-1 + 3 - 4)*(2 - 2 + 2)) as j + r*z and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 1 + 12\/6. Let r(z) = 3 - 9*z**3 + z**b + 3*z**2 + 3*z + 6*z**3. Let w(f) = -5*f**3 + 7*f**2 + 7*f + 7. Give -14*r(y) + 6*w(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**3 - 6*z**2 + 11*z + 11. Let s(y) = y**3 - y**2 + 2*y + 2. Calculate 2*g(u) - 11*s(u).\nAnswer: -3*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 790019911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2129 and -738.\nAnswer: -2867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3567 - -6679. Calculate the least common multiple of 389 and d.\nAnswer: 3112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + -0.4. Let h = 119 + -119.2. What is the closest to 0 in h, x, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13995340?\nAnswer: 2, 5, 699767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/12*(-12)\/(-33).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-350)*(-28)\/(-35)*-5?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 410792\/52 - (-2)\/13. Round g to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10*111\/((-12876)\/(-290)) - 74\/(-1).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59ac7 (base 13) to base 4.\nAnswer: 220021033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ws when two letters picked without replacement from ssklsskkkkwhhkhooohh?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11838 divided by -9\nAnswer: -3946\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/24)\/(24\/576)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 1. Suppose -p = -2*p. Is w > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 170 + -169.9. Let f = -1502\/15 + 100. Which is the second biggest value? (a) -0.3 (b) h (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + 0.1. Let a = 6 - 27. Let y = a - -21.4. What is the second smallest value in 1, y, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**2\/2 - 4. Let x(q) = 3*q**2 + 5*q + 3. Let t(k) = -5*g(k) - x(k). Differentiate t(f) wrt f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-3))\/((-3)\/9). Let g = u - -6. Suppose -56976*v + 128 = -56848*v. Solve 0 = -g*c + v + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27.5 - 28. Put 3\/4, 0, 0.4, c in decreasing order.\nAnswer: 3\/4, 0.4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 52*u**4 + 3*u**2 - 3*u + 68. Let b(f) = f**4 - f**2 + f + 1. Let p(d) = -3*b(d) - r(d). Find the first derivative of p(o) wrt o.\nAnswer: -220*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16*5\/38 - 2. Let r(u) = u**3 - 7*u**2 + 8*u - 11. Let y be r(6). Let j be ((-2)\/7 + (-399)\/147)*y. What is the nearest to 1 in j, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -2 + (47 - -3). Let d = r + -19. Let g = 55 - d. Is 19 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**4 + 6*a**4 - 2*a**4)*(1 - 1 + 1) - 24 + 0*a**2 + 55 + a**2 - 5*a**4.\nAnswer: -4*a**4 + a**2 + 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5151.\nAnswer: 3, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1258 = -46*s - 1212. Let r = -2 - -3. Is r less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 + 6)\/(2*-1). Suppose -3*o + 2 - 18 = -n, -4*o - 12 = j. Solve -2*y + n*y - 25 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from wcwwccwwwwccwcwwwcw.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of p**3 - 3*p**2 + 141158531*p - 191873968 wrt p?\nAnswer: 3*p**2 - 6*p + 141158531","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 - 76. Suppose d + s = -0*s + 28, 53 = w*d + 3*s. What is the first derivative of 12*n**4 + n**4 + 9*n**4 + 3*n**4 - d wrt n?\nAnswer: 100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270281630699 minus 3?\nAnswer: 270281630696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-18) + 25\/(-6). Let f(z) = -z**3 - 3*z**2 + z + 2. List the prime factors of f(g).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 9*t**2 + 7*t - 8. Let l be c(-5). Let p = -55 + l. Find the second derivative of -32*s**p + 16*s**2 + 17*s**2 - 34*s wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 21. Let s be u(7). Let r = s + -10. Factor -1\/2*w**r + 1\/6*w - 5\/6*w**2 + 0 + 7\/6*w**3.\nAnswer: -w*(w - 1)**2*(3*w - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1*(-1591)\/(-9) + (-6)\/(-27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 5*w + 6. Let s be i(6). Solve 0*k + s = 3*g + k, -k = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + h - 328 = -0*y, -h = y + 158. Let m = y - -1783\/11. What is the nearest to -1 in m, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*x**2 + 17*x**2 + 15*x**2 + 5*x**2 + 401*x.\nAnswer: 5*x**2 + 401*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 - 24*c - 10. Let h be o(-12). Which is smaller: h or -180\/19?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jenwe. What is prob of picking 1 n, 1 w, and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yztitzzzys. What is prob of picking 2 t?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 23*a**2 + 26*a - 99. Calculate h(22).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1399959 divided by -711?\nAnswer: 1969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxrr when four letters picked without replacement from {x: 1, l: 3, r: 6, v: 1, c: 2}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 8 + 1 + -2. Suppose -5*j = -17 - l. Suppose 35 = b + j*b. Calculate the highest common factor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 187 + -115. Suppose 14 = 2*h - 68. Let i = z - h. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**4\/3 - 40*q**3\/3 - 46*q**2 + 120*q + 387 = 0. What is q?\nAnswer: -3, 3, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1271.\nAnswer: 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2\/5813, 0.4, 2\/7, 5 in ascending order.\nAnswer: -0.4, -2\/5813, 2\/7, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.5. Let p = -0.1 + q. Let c = 37\/10 - 7\/2. What is the nearest to 0 in p, 4\/9, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35014 is divided by 1030.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-154)\/44*(-12)\/(-651)*-1\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**4\/24 + 8*z**3\/3 + 2*z**2. List the prime factors of l(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ddndddddndnndnnnnndd.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.95 - 0.05. Which is the nearest to 22? (a) q (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*15\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(171) + 6*sqrt(19)*-2 - (0 + sqrt(19) + -3)*-1)**2*1.\nAnswer: 138*sqrt(19) + 10060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 38709580 divided by 91\nAnswer: 425380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*p - 10, i + 0*i - 2*p - 4 = 0. Let j be (-2)\/(10 + -11 - (-2)\/i). Solve -4*h = j + 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmqe when four letters picked without replacement from {f: 1, c: 1, q: 2, e: 1, m: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 2*o**2 - 7\/12*o**4 + 0 + 4*o + 1\/20*o**5 + 0*o**3. Let l be t(6). Round l to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(2057)))**2.\nAnswer: -88*sqrt(17) + 8232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 427 and 41419.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -4, -8, -12?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-150)*15)\/(2\/10). Factor -227*d + 483*d - 2*d**j - 234*d.\nAnswer: -2*d*(d - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from {m: 2, k: 2, d: 3, l: 1, e: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001523959283 to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m - 1. Let n be s(-9). Suppose 0 = -8*f + 3*f - i + 25, -n = -3*f - i. Suppose 3*y + p - 7 = 19, f*p + 46 = 3*y. Solve -2*c + y = -0*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 135750 or 135785?\nAnswer: 135785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/354978 and -47\/30.\nAnswer: 1774890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1 (b) -2\/5 (c) 3 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -241 and -21.922?\nAnswer: 5283.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (632\/80*5)\/(7*1\/14)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 958, 713, 6, -1385, -3682, -7107?\nAnswer: -11882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 10*d + 8. Let c(f) = 11*f - 1. Let y(i) = -4*a(i) + 4*c(i). Determine y(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 4*t**2 + 12*t. Let d(l) = -3*l**2 + 9*l. Let f(h) = -4*d(h) + 3*v(h). Let q(k) = k**3. What is -f(y) + 9*q(y)?\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 2, 75, 3 in descending order.\nAnswer: 75, 3, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-921)\/15*(-1 - 0)*(1572 + 13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 - 60. Sort 1, a, 4.\nAnswer: a, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-3090.205\nAnswer: 9270.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357*o + 9358 + 7073 = -705. Calculate the least common multiple of 462 and o.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-1.2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + 6 + -4 + -239 + 225 + (0 - -81)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.066 + 28.934. Let o = r - 29.72. Let h = o + 0.7266. Round h to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 237 - 225. Suppose 20 = -7*t + s*t. Solve -16 - 19 = -t*b + 3*a, -3*a = -5*b + 40 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 28*t - 75. Give j(5).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + x + 4)*(0 + 0 - 3*x**4).\nAnswer: -3*x**5 - 18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2011, 4016, 6025, 8038, 10055, 12076, 14101?\nAnswer: 16130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/11 + 14 + (-8614)\/(-649).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18442821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + (sqrt(2057) - 2*sqrt(2057)) + 0))**2 + 0.\nAnswer: 3960*sqrt(17) + 74952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 312 - 290. Calculate the lowest common multiple of 272 and w.\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 0*t + 10. Let y(h) = -h**3 - h**2 - 2*h - 3. Let u be y(t). Suppose -u*m + 37 = 2*d, -2*m = d - 4*d + 84. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s. Let w(c) be the first derivative of 1\/2*c**2 - 4 + 0*c. What is w(z(b))?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10789057?\nAnswer: 1433, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, -0.26, 7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2919\/112*94 - (0 - 1\/8).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -3\/2 (c) 3052.4 (d) -0.7 (e) 4.4 (f) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-10)*45\/27. Sort -4, x, -2 in decreasing order.\nAnswer: x, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54528 <= 54162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 136 - 36\/90*-10*1. Let n = 143 - p. Is n at most as big as -1.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94373 or -94378?\nAnswer: -94378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3550564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -245 - -1489\/6. Which is the smallest value? (a) 5 (b) q (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 118\/(1 - (3 + -4)). Let s(w) = -5 - 177*w + t*w + 59*w + 55*w. Give s(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9504?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -148.12185 to the nearest integer.\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 776192 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -7, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 74128 and 74128 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 700582 or 20316839\/29?\nAnswer: 20316839\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12205 divided by 2441\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 110. Let b = 66 + o. Let h = 2 - -3. What is the second biggest value in b, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/60 and 59\/84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-10))\/((-4)\/50). Let z = 18 - n. Let l = z - 4. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2698 less than -84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1820 divided by 4.\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 91*i + 2120. Let n be p(-48). Let c = -1 + 0.9. Do c and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 9:18 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 579289\/16590 - 1216\/35. What is the common denominator of q and -58\/3?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -140401232?\nAnswer: -140401224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 + -4 + 3 - -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*((m*((((m*m*m**7*m)\/m)\/m*m)\/m*m)\/m)\/m*m*m)\/m)\/m)\/m**(-30))**(-7\/2))**28 assuming m is positive.\nAnswer: m**(-3822)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 638 and 17458?\nAnswer: 192038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.2935 rounded to zero decimal places?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1065*l**3 - 3*l**2 + 85*l - 83. What is k(1)?\nAnswer: -1066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 divided by 78.\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 5*p + 7. Let o be h(-6). Let v be 3 - (o - 1) - 0. Suppose v*d = 7*d - 108. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10278 - 307.76214415?\nAnswer: -10585.76214415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -545, -1091, -1637, -2183?\n\"Answer: -546*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - o + 1. Let a(c) = -2 - 7145*c - 2*c**2 + 7145*c + 3 + c**2. Let y(x) = -6*x**2 + 3. What is o*y(w) + 3*a(w)?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*b - 4 = 124, 5*x + 2*b - 134 = 0. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.245045 rounded to one dp?\nAnswer: -33.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 + 6.5. Let d = r - 7. Let a = -35 + 174\/5. Sort d, 0, a.\nAnswer: d, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 11:39 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127*x**2 - 130 + 130 + x to the form i*x**2 + j + a*x and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 787252 = -3*i - 916748. Let w be (-2 + 1 - 1709)*i\/213. Round w to the nearest 100000.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 3*n**2 + 2*n - 4. Let p(l) = 2*l**3 + 5*l**2 - 4*l + 7. Let w be (7 - 4) + 14\/2. Let u = 5 - w. Determine u*x(y) - 3*p(y).\nAnswer: -y**3 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(14)\/(sqrt(2)*-3))*5 + 0.\nAnswer: -15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1371\/2 + 685. Which is the third smallest value? (a) p (b) 2\/5 (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*6\/15 + 1. Solve -r - p = -5*r + 3*n, n = -5*r - 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102\/663 - 34\/52\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 7. Let f(t) = 2*t**2. Give f(h(c)).\nAnswer: 2*c**2 + 28*c + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 7:58 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 950423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffkkfkfkfkkkkkkxk. What is prob of picking 1 x and 2 k?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**4\/24 - 4*t**2 + 7*t. Let s(x) be the first derivative of j(x). Let w(b) = 10*b. Determine s(w(h)).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.7897 rounded to three decimal places?\nAnswer: 16.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3496 + -2495. List the prime factors of l.\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 166*d + 3. Let l(s) = 165*s + 2. Give 2*f(q) - 3*l(q).\nAnswer: -163*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 times 967?\nAnswer: -15472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 26090.93 * 6\nAnswer: 156545.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 2 (c) -1\/2 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, p: 1, z: 1}. What is prob of sequence ez?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 12*x**7\/7 - 2*x**3\/3 - 1. Find the third derivative of y(j) wrt j.\nAnswer: 1440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79562 by -11366.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -86912.1?\nAnswer: -43456.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -84*l + 336. Let j be x(4). Let g = 109 + -1634\/15. What is the closest to j in g, 2, 2\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 219*b**2 - 87*b + 66540. Give l(218).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5\/3 + 12*a**4 + 472*a**3\/3 + 678*a**2 + 1251*a + 846.\nAnswer: -(a - 47)*(a + 2)*(a + 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 0*w + 5*a + 16, -2*w + 2*a + 8 = 0. Solve 2*c - w*k + 4 + 12 = 0, 3*k = -4*c - 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*t**4 + 1 - 2*t**4 + 6*t**4 - t**4 - 9*t**4 + 2*t - 2*t + (0*t**4 + 0*t**4 + t**4)*(-2 + 0 + 4).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7462.2ms?\nAnswer: 7462200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -9229032?\nAnswer: 9229032.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -c + 2*o, 0*c + 3*o + 28 = c. Let b be 15\/c + (-8)\/(-20). Round b to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1134)*-2)\/(sqrt(14)\/sqrt(175)).\nAnswer: -90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1070816 divided by -2456?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2*j + 14, -2*j + 9 = -2*f - 1. Let b(a) = 3*a + 3. Let v(w) = 2*w - 4. Let p(d) = d. Let m(r) = -6*p(r) + v(r). Determine f*b(i) - 4*m(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 3:16 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2*(-108)\/(-9). Let j(v) = -5 + 4*v**2 - h*v - v**2 + 2*v**3 - v**3. Calculate j(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/((-1280)\/(-600)) - (-1)\/((-1)\/9). Let q = -119\/16 + 2859\/208. Is k at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 24253.\nAnswer: 20\/24253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 14814973 and 14814974 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 526829.4 micrograms in nanograms?\nAnswer: 526829400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - f - 2*f**3)*(0 - 2*f + 0)*(-2 + 3*f - 3 + 2).\nAnswer: 12*f**5 - 12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 29\/(3190\/200)*121\/22\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1444 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21994*d**2*y - 3*d**2 + 4*d*y + 13773*d + y wrt y.\nAnswer: -21994*d**2 + 4*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 12*r**2 + 12*r - 13. Let s be m(11). Is 6 a factor of (-53 + -1)\/(s - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2665589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -1\/8 (c) 287.1425\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 14, b: 2, q: 2, c: 1}. What is prob of picking 1 c and 1 y?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 66 = 39. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2980590, -2980604, -2980618?\n\"Answer: -14*r - 2980576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*c - 72*c + 37*c)*(0 + 0 - 2*c**4) - c**5 + 0*c**5 + 0*c**5.\nAnswer: 5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 6*g - 6. Suppose w + 12 = g*u + 35, w + 2*u - 13 = 0. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 35\/2*230\/25. Let j = 161 - f. Solve 0*v + 5*k = 3*v + 14, -4*k + 4 = j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*h - 5554 = 2669 - 788 + 3905 for h.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740284.\nAnswer: 2, 185071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + a + 4*a)*(-3*a**3 + 6*a**3 - 2*a**3) + ((-1 - 2*a + 1)*(-1 - 3 + 2) - 4*a - 2*a + 3*a + 2*a - 6*a + 9*a)*(a**3 - 5*a**3 + 3*a**3).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -17*m + 66. Calculate r(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 13*v**2 - 3*v + 24. Let z be t(13). Let w be ((-9)\/z)\/(16\/(-20) + 1). Suppose 250 = w*d - 71. What are the prime factors of d?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 2007900698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**3\/11 + 90230*j**2\/11 - 1047192206*j\/11 + 660786993402\/11 = 0.\nAnswer: 669, 22223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7155 and 81.\nAnswer: 21465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*f - 2*z, -5*f + 2*z + 3*z = -45. Suppose -2*t = 2*r - 4836, f*t - 5645 = -2*r - 824. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 123 + -79. Let j = t + -43.5. Let z = 4.9 + 0.1. Which is the closest to -1? (a) j (b) z (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 98, 153, 208, 263?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 2*j**3 + j**2)*(-1903*j + 988*j - 1 + 1055*j).\nAnswer: 280*j**4 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 4:22 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9, -5, 9 in descending order.\nAnswer: 9, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 100 = 148. Let h = -79 + b. Let n = -46 - h. Solve 0 = z - 2*t + 5, -6 = 4*z - n*z - 3*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19 + 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 464902237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/13, 15.03, -25, 1\/2 in increasing order.\nAnswer: -25, -2, 2\/13, 1\/2, 15.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -341118 divided by 4.\nAnswer: -170559\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 672 and 336.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 179 = -4*l. Suppose -3*a + 40 = a. Calculate the remainder when l is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7502738 to the power of 1\/2, to the nearest integer?\nAnswer: 2739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, y: 13}. Give prob of sequence xxx.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and -62\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 + 4*p + 1. Let x(a) = 0*a**2 + a**2 - 2*a**2 - 13*a + 12*a. What is o(n) + 4*x(n)?\nAnswer: -n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2852541 - 116300\nAnswer: -2968841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 846468.1 grams in tonnes?\nAnswer: 0.8464681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 13 + 260*g**2 - 31 - 52*g**2 in the form u + s*g + d*g**2 and give d.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p + 527 - 1199 = 0. Let u be (12\/(-45))\/(16\/p). Let k = -1 - 4. What is the biggest value in k, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -613*y - 2433*y - 2021*y = 146943 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -140, -3342, 16 in descending order.\nAnswer: 16, 3, -140, -3342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -3*m - 2*m, -5*s = 2*m + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 132 + -127. Suppose x*n - p - 72 = 0, -5*n + 6 = -4*n - 3*p. What is the greatest common factor of n and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - f + 291 = 0, -5*f - 135 = -2*j - 2*f. What is the lowest common multiple of 10 and j?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6695 and 575?\nAnswer: 769925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 26489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-7)\/(-3))\/(2\/(-4)))\/((-5980)\/816270). What is the highest common divisor of j and 273?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000023726008 to 6 decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 154\/15 - 101\/10. Let d = -107.5 + 102.79. Let x = d - -4.7. Which is the third biggest value? (a) x (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/9)\/(6816\/1917))\/((5\/(-54))\/(-5))\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 174175.\nAnswer: -3\/174175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - a. Let i be j(3). Does 6 divide (i\/16)\/((-2)\/(-464))*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**4 + 4769 - 2399 - 2*s**2 - 2*s**3 - 31*s - 2368 to v*s**2 + i*s + z*s**4 + j*s**3 + w and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*10\/(-70)*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-256*209\/(-5537664))\/(1\/3).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**4\/4 - 3*x**3 + 7*x**2\/2 - 20*x - 58. Let u be d(-10). Solve -3*a + 7*a - u = -3*f, 2*a - 12 = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -879*d + 2441 wrt d?\nAnswer: -879","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + 2 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 189149\nAnswer: -378298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -213*k**2 - 6*k. Let r(f) = f**2 + f. What is -o(h) - 6*r(h)?\nAnswer: 207*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.5 - 4.1. Which is the nearest to -0.1? (a) -2 (b) -1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 44*o**3 + 252*o**2 - 83*o - 55. Determine v(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51734.\nAnswer: 2, 25867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(27) + 3.\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0493 to 3 dps.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 5139.\nAnswer: 2\/5139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-12)*4 + -3. Let g(v) = v**3 - 6*v**2 + 7*v + 5. Let y be g(4). Sort y, p, -1.\nAnswer: p, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -1.9. Let l = p - -0.2. What is the second smallest value in -0.4, l, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, -2, 0.5, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.9330034 rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -103 - 105 + 219 + 4*t**3 in the form c + y*t**2 + f*t**3 + h*t and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8740 (base 12) to base 14\nAnswer: -55cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in sixty-seven quarters of a kilometer?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8818119, 8818099, 8818079, 8818059, 8818039?\nAnswer: 8818019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3612, -4, 4, -16, -2, -10 in decreasing order.\nAnswer: 4, -2, -4, -10, -16, -3612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101265678?\nAnswer: 2, 3, 683, 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -2*i - 16, -1768*d + 1763*d - 15 = 2*i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1457 = -644*t + 723*t - 913. Let g(n) be the first derivative of -28*n - 1\/4*n**4 - t + 0*n**3 + 21\/2*n**2. What is the derivative of g(v) wrt v?\nAnswer: -3*v**2 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*s**3*w*y**2 - 45*s**3 - s**2*w*y**2 + s*y**2 - 2*s*y - w*y wrt w?\nAnswer: -10*s**3*y**2 - s**2*y**2 - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/13)*m)**16*(m*((m*m**(-2\/11))\/m)\/m*m)**(-44) assuming m is positive.\nAnswer: m**(-228\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3094454 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 8 = 12*t. Let f(k) = -5*k + 6. Let c(g) = -14*g + 19. Let a(x) = 4*c(x) - 11*f(x). What is a(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 258474.\nAnswer: 258474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -63.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -35*s - 113 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n - 5. Let z be 1 - 44\/(55\/5). Calculate d(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from {z: 2, r: 5, m: 3, s: 3}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*u**3 - 21*u**2 - 6*u - 3*u - 54 + 3*u**4 + 46*u**2 + 14*u**2.\nAnswer: 3*(u - 1)*(u + 2)*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5933480159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 75636.0234us in weeks?\nAnswer: 0.0000001250595625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 1:11 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 14*w + 53. Let v be m(-4). Let s = 3\/58 - 247\/290. Put s, 5, v in ascending order.\nAnswer: v, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*q - 18. Suppose -s = 2*u - 2 + 4, 0 = s - 3*u - 8. Find the third derivative of -2*v**4 + 2*v**4 - q*v**4 - 4*v**4 + 6*v**s wrt v.\nAnswer: -288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by 3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4072468 and 22648?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.717812 rounded to one decimal place?\nAnswer: 34.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1096425 and 272445?\nAnswer: 44953425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -2, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 6, 4*u - 3*u = -5*k + 118. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -35*r - 37. Let x be c(-17). Suppose -555 = a - x. Solve -n + 3*v = -2 - 17, 0 = 3*n + a*v + 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/3))**(4\/19)*((u\/(u**6\/u))\/u)\/(u\/(u\/(u\/u**7))) assuming u is positive.\nAnswer: u**(65\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4917779303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 + 4 - 117)*(-2*a + 5*a - 4*a) to v + m*a and give m.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -6*(sqrt(847) - (sqrt(847)*-2 + 1)))**2.\nAnswer: -792*sqrt(7) + 274432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + f**2 - 6*f + 1. Let i be c(-4). Let q(h) be the third derivative of h**5\/30 + 17*h**4\/24 + 17*h**3\/3 - 4*h**2. Is q(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23\/3 + 1\/3. What is the common denominator of w and 6\/59?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/8 + 21*l**2\/8 - 7*l + 9\/2.\nAnswer: -(l - 18)*(l - 2)*(l - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*k**4 - 29*k**3 + 29*k**4 + 11 - 17*k**3 + 48*k**3 - 7 + 6*k**2 to the form q*k**3 + x*k**2 + c*k + j*k**4 + v and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -10. Let k(s) = -s**3 + 14*s**2 - 13*s - 9. Let l be k(w). Let z = l + 31. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29246 is divided by 509.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 738 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 z be 3*-2*(-10)\/6. Let s(d) = 4*d - 17. Let b(k) = -17*k + 69. Let l(v) = 2*b(v) + 9*s(v). What is the units digit of l(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1865 is divided by 616?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 448 and 104608.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 2, 1.89412, 5\/2.\nAnswer: -42, 1.89412, 2, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 2*d - 2*d)*(0*d**3 - 2*d**3 + 0*d**3 + (-3*d + 3*d - d)*(-d**2 + 0*d**2 + 2*d**2) - d**3 - 2 + 2).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 5\/1968884, -4\/3, 2, 0?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 + (19 - -54 - -37).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 327377016 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - (7 + 2))\/(21\/((-30870)\/273)). Is t not equal to 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7799 divide 207992360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x**4 - 4*x**3 - x**2 + x + 3. Let m(s) = 6*s**4 - 4*s**3 - 2*s**2 + 2*s + 2. Let i(n) = 2*f(n) - 3*m(n). Factor i(y).\nAnswer: -4*y*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2421 (base 5) to base 11\nAnswer: 2a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22688 is divided by 35.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*u - 68. Suppose -3*p + u*p - 1312 = 0. Calculate the highest common factor of 287 and p.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 3 + 15 = -2*w, -4*z = -2*w + 30 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 5 = 3*p. Suppose 0 = 4*r + 29 + 27. Calculate the remainder when p is divided by r\/(-3) - (-1)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/83487?\nAnswer: -1\/83487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4247989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3600 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/5749, -198, -2\/13 in descending order.\nAnswer: -11\/5749, -2\/13, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1411*-2.\nAnswer: -2822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1521394 divided by 3794?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x - 3. Let s(z) = -z - 10. Let u be s(-8). Let a be h(u). Let c = -9 + a. Put 1, 0.3, c in decreasing order.\nAnswer: 1, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -38, -133, -318, -623, -1078, -1713?\nAnswer: -2558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 4*d + 5. Let w be l(-1). Suppose -120*q = -138*q + 90. Solve 3*k - 1 = -r + 3, w = -3*r - q*k + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 25 = -13*l + 9*l, -2*d = l - 5. Suppose -4*n + 2*n = -3*i, 4*i = -4*n. Suppose 3*m - d*m + 50 = i. What is the remainder when m is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*u + 52, -4 = 2*u - 4*k - 12. Suppose 5*t - 25 = 5. Suppose 220 = t*m - 4*m. Calculate the greatest common divisor of m and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**2*p**3 - 2*l**2*p + 11*p**4 + 3*p**2 + 348*p wrt p?\nAnswer: -12*l**2*p + 132*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(9)\/sqrt(3) + 1.\nAnswer: -3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1973495651.\nAnswer: 53, 73, 510079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2240, -4568, -6886, -9188, -11468, -13720, -15938?\n\"Answer: i**3 - i**2 - 2332*i + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*h**2*t**3 + 10*h**2 + 100*t**3 + t wrt h?\nAnswer: 6*h*t**3 + 20*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -g + 2*f + 9, 4*f + 104 = 4*g. What are the prime factors of g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25428486, -50856975, -76285464, -101713953, -127142442, -152570931?\n\"Answer: -25428489*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1906.6 and -0.3?\nAnswer: -571.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x - 4. Calculate the smallest common multiple of 8 and i(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0, -85, -3 in decreasing order.\nAnswer: 1\/4, 0, -3, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11236, 11253, 11252, 11215, 11124, 10961, 10708, 10347?\nAnswer: 9860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 95\/57*(-18)\/(-2). Suppose -3*w + 3*a + v = 0, -3*w + 6 + 4 = -4*a. Let t = 0 - -9. Is t >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8123237716\/157945 + 257154\/5. Let r = -2685109\/694958 - d. Calculate the common denominator of r and -89\/26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -4357*z**3\/6 - 149*z**2\/2 - 6*z + 2. Is b(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16875, -3, 287, 1 in descending order.\nAnswer: 287, 1, -3, -16875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10588778 (base 9) to base 8.\nAnswer: 23461424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -2*q + 18, -4*s = 47 - 31 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 22844.\nAnswer: 159908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/(-2)*(-20)\/50. Let b(x) = -2*x + 1. Let i(c) = -c - 2. Let u be i(-7). Let w(j) = u*j - 4*j - 2*j. Determine n*w(y) - b(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 3. Let t = 5.96 - g. Sort -0.4, t, 2.\nAnswer: -0.4, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 540340?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 901 - 872. Let h be 260 + (-1)\/(-2 - -1). Calculate the greatest common factor of q and h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -485*y + 33047 + 10544 = 12952 - 28531 for y.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.3 (b) 0 (c) 433\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*n - 90*n = 229*n - 5985 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/456 and -55\/54.\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 844, 3351, 7522, 13357, 20856, 30019?\n\"Answer: 832*w**2 + 11*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9178d4 (base 15) to base 11\nAnswer: -39a0066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15851170?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/113 or 96.2?\nAnswer: 96.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 509\/159?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 236, 0.839, 1\/5, 28 in decreasing order.\nAnswer: 236, 28, 0.839, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 16*n**2 + 26*n - 24. Let d be q(-14). Suppose -245 - 91 = -d*t. What is the greatest common divisor of t and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**4 - 69*b**4 - 8*b**4 - 2*b**4 + 2*b**4 - 2*b**4 + (-1 - 1 + 4)*(b**4 - 3*b**4 + 6*b**4).\nAnswer: -68*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5438895 is divided by 656.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1547 is divided by 88.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 656, 677, 726, 815, 956, 1161?\n\"Answer: 2*m**3 + 2*m**2 + m + 651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3595 + 3590. Let n = -2 + 1.9. What is the second biggest value in 1\/6, -2\/3, l, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b34 (base 15) to base 13\nAnswer: 28ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 280879\/103 - 2727. What is the third smallest value in c, -0.4, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**2 + 4*w**4 - 5*w**2 + (-2*w + w + 3*w)*(-730*w + 730*w + 10*w**3).\nAnswer: 24*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.176748 decades to centuries.\nAnswer: 0.0176748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 91320702?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 64377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14299 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 301624061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 9*v**2 - v**3 + 7*v - v**4 - v**2 + 12*v**2 as r*v**2 + t + a*v**3 + w*v + s*v**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-3)*2\/((-28*(-1)\/7)\/(-6))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 3. Let r be n(0). Suppose 0 = -0*j - r*j - 12. Sort 3\/7, -0.1, j in descending order.\nAnswer: 3\/7, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2565.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -5\/72*t**4 + 1 - 12*t**2 - 1\/20*t**5 + 0*t**3 - 1\/120*t**6 + 1\/630*t**7 + 0*t. Factor x(n).\nAnswer: n*(n - 5)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {k: 2, f: 7, i: 2}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168294 and 168294.\nAnswer: 168294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.02 (b) -3\/8 (c) -23 (d) 1\/2 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1051 + -1012. Calculate the least common multiple of v and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 7. Let r be d(-6). Suppose -2*w - r + 5 = 0. Is 1 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 4268302?\nAnswer: 4268302.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**5 + p**4 - p**3 - p**2 - 1. Let x(a) = 4*a**4 - 4*a**3 + 3*a**2 - 4. Let j(g) = 4*n(g) - x(g). What is the third derivative of j(m) wrt m?\nAnswer: -240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.582 - -3.582. What is the second biggest value in -4, d, -32?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.1 (c) 0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 0.25.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 3*h**2 - h + 2. Let x(i) = i - 1. Let z be x(5). Let w(p) = -p + z - 2 + 1. Let j be w(0). Determine t(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, -0.2, 2, -4, 0.149 in decreasing order.\nAnswer: 2, 0.7, 0.149, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 8 = j, 0 = 2*j + 13*w - 10*w + 19. Let n(c) = 6 + 0*c + c + 0*c. Let d be n(j). Solve 7 = 2*o + d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -24. Let k = -9 + b. Let h be ((-18)\/(-4) + 1)*k. Calculate the greatest common divisor of h and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4\/3 + 32*o**3 - 100*o**2\/3.\nAnswer: 4*o**2*(o - 1)*(o + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = x - 24, 14 = 5*z - 2*x - 3. Suppose -2*u = -z*g + 942, u - 1174 = -5*g - 235. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j + 2. Let c(f) = f + 1. Let b(q) = -2*c(q) + u(q). Let m(x) = -30*x**2. Determine m(b(h)).\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 - 30*l + 481. Determine h(-28).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 2 + 2)*(0 + 0 + 2)*(3*j**2 - j**2 - 12*j**2) to f*j**2 + s*j + z + o*j**3 and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401\/5 less than 279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(6\/8))\/((-8)\/10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-24))\/3*1 - 83448\/(-142272)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 6 - 5)*(-p**2 - p + p)*(1 - 1 - p)*(-3*p + 3*p + p) in the form x*p**4 + s*p**2 + y*p**3 + f + t*p and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (2 - (8 + -2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -0.3. Let h(n) = n + 16. Let i be h(-20). Which is the smallest value? (a) 3 (b) i (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 36*w + 38. Calculate f(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 7:14 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 - 146951\nAnswer: -146950.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17598180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58813*y**2 + 117601*y**2 - 1 + 1 - 58815*y**2.\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 14*q = 7880. Suppose 20*w = q - 188. Calculate the greatest common factor of 45 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 0) + (66 - (-27 - 35 - -42))?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/13663 and -25\/754.\nAnswer: 792454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5566181101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - (-75)\/(-21))\/((-1)\/7). Solve 6*h = b*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23013114 (base 6) to base 7\nAnswer: 5652103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (2 - 2 - -3) + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-7) - (-99)\/(-21). Let t be 6\/(-15)*f\/8. Let q(r) = r + 9. Let m be q(-11). Put 1, t, m in ascending order.\nAnswer: m, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10 = -4*r - 4, 25 = 5*q. Let f be (-1 + 0\/(-1))\/r. Suppose -2*l - 8 = -4*o, -4*o - 5*l - 8 = -2*o. Is f > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -11*r. Let c(p) = 11*p. Determine t(c(v)).\nAnswer: -121*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 8:15 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + m - 19. Let r(w) = -3*w**2 - 12*w + 80. Let z(f) = r(f) + 4*v(f). What is z(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (-4)\/(-4) - -7. Suppose k*y - 484 = y. Let p = y - 38. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 150485, 150467, 150447, 150425?\n\"Answer: -y**2 - 15*y + 150501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -580 divided by -4.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*v - 0*v - 6, -2*g + 4 = 2*v. Let s(x) = -x. Let u(d) = -1. Let z(a) = g*u(a) - s(a). What is z(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -33. Let c = -279 + 278.6. What is the biggest value in c, 10, w?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33379?\nAnswer: 29, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32277 = 15*b - 162252. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**3\/6 - 5*t**2\/2 - 10*t. Calculate v(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z. Let n(t) = 112*t. Let q(g) = 7*g. Let u(m) = 4*n(m) - 63*q(m). What is 24*i(p) - 3*u(p)?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4*z + 0 - 7 - 6*z.\nAnswer: -2*z - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.03 + -0.03. Let x = -29 + 30. What is the third biggest value in -3, r, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1130 (base 8) to base 6.\nAnswer: -2440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*348851.\nAnswer: -5232765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170.6267 kilograms to micrograms.\nAnswer: 170626700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 437*d**7\/42 + 16*d**4\/3 + d + 37. Find the third derivative of w(m) wrt m.\nAnswer: 26220*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 212 and 46?\nAnswer: 9752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32784 to the power of 1\/2, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n = 142 - 32 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**2 + 378*n + 854. Give f(-92).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.4 - 3.399947. What is t rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6 - 6\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - (-1 + 1))*-2. Suppose -x*c = 3*c + 5. Let r be (1 + (1 - c))*12. What is the greatest common divisor of 90 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 42 - 18. Let u(b) = b**3 + b**2 + 5. Let o be u(0). Suppose -o = -14*s + 13*s. What is the highest common factor of g and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkztkzbkztdzt. Give prob of picking 1 k and 3 t.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -346418 less than 10398?\nAnswer: 356816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4 + 1*(3 + sqrt(500) + 1)*-2*5)*4.\nAnswer: -400*sqrt(5) - 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41966?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y**2 - 10*y**2 - 9*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 + -62. Suppose -9 = 5*p + 2*s, -s - 4 = -3*p + x*p. Let y = p - -52. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10793247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**3 - h**3 - h**3 + (0*h + 0*h - 2*h**2)*(1 - 1 - 2*h) - 3*h**3 - 12*h**3 - 5*h**3 in the form z*h + j + l*h**2 + x*h**3 and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 6:04 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 7*p + 3. Let w be f(7). Suppose 4*y = 15 - w. Suppose -y = -2*o + 7. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*h + 86 = 0, -3*q - 3*h = 71 + 25. Let c(b) = b**3 - 3*b - 30. Let i be c(0). Let p = q - i. Which is smaller: -1\/2 or p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(27)*5)\/((sqrt(360)\/sqrt(8))\/sqrt(5)).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4175085306 less than -243?\nAnswer: -4175085549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158714, -158753, -158792, -158831, -158870, -158909?\nAnswer: -158948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/7))**(-5\/7))**(-14) assuming u is positive.\nAnswer: u**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6232637 at most as big as 6232634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59.6 + 7.4. Let k = -7.13316 - 59.86653. Let s = k + h. Round s to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*4\/24*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a - 2. Suppose 7*f = 3*f + 8. Let x = 3 + f. Calculate m(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u**5*w + 406*u**3*w - 7*u**2*w + 83*u*w + 2*u - 9*w - 2 wrt u.\nAnswer: -40*u**3*w + 2436*u*w - 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 - (84 + 25) - 167?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i**3 - 4*i**2 + 5*i + 12. Is 6 a factor of s(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+2650573.32\nAnswer: 2650572.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 55. Suppose w*k - 4*k = 24. What is the derivative of 12*h**3 - 1 + k + 13 - 2 wrt h?\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 156 + -159. Sort 3, -2, 4, b.\nAnswer: b, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 7 = 4*j, 2*j + 44 = 3*q + j. Let d(t) = -3 - q*t - 6 + 7. What is the tens digit of d(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, e: 1, x: 1, d: 2}. What is prob of picking 1 d and 1 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*(((j**(-14)\/j)\/j)\/j*j)\/j)*j*j)**(2\/7)\/(((j\/((j**(-24)*j)\/j)*j)\/j)\/((j*j**28\/j)\/j)) assuming j is positive.\nAnswer: j**(52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebqv when four letters picked without replacement from hbqbkvekqkbqqb.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*p**5 - p**3 - 558*p - 3.\nAnswer: 220*p**3 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6108 and -5439.\nAnswer: 33221412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -79 - -235\/3. Suppose -d = 2*d. Let g be d - (-3)\/9 - 0. What is the second smallest value in z, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1260377?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*q + 2*z, q - 5*q - 3*z - 15 = 0. Let h(g) = -15*g - 1550000. Let c be h(q). What is c rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 606 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -0.3309, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 720 and 834453?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -z + 5111484, 2*z - 6 = -0*z. Let m = a + 1671454511\/981. Let u = m - 2\/327. Sort -1, u, 2 in decreasing order.\nAnswer: 2, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -471 and 145?\nAnswer: -68295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(5) + (sqrt(45)*-1)\/sqrt(9))*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -651579*f*v**3 + f - 7*v**3 + 236511*v**2 wrt v.\nAnswer: -3909474*f - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*5\/20)\/(8\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25364963 - 1064958. Suppose -5*q - i = -3*r, -2*r - 2*q + 8099998 = -r. What is r rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 41 + 11 - 25 - 20*y + 5*y. Let k(r) = -2*r + 4. Calculate 4*i(s) - 27*k(s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**2 - 7912*b - 107092.\nAnswer: -2*b - 7912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-14) - (-22 - (-122)\/14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -12*x**2 - 71*x + 221. Calculate g(3).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8732*f + 2903*f + 2593*f - 1891*f.\nAnswer: 12337*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*w**4 - w**4 - w**4 + (-1 + 1 - 2*w)*(-2 + w + 2)*(-w - w**2 + w).\nAnswer: 11*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 211385687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -0.2, 4\/17, -1 in descending order.\nAnswer: 1\/2, 4\/17, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18153946163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - 140*w - 4900.\nAnswer: -(w + 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*o - 124*o - 2610 = -5*o for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 3*q - 2*q)*(-q + 4*q + 0*q) - 1191*q**2 + 45*q + 11*q + 1187*q**2.\nAnswer: 5*q**2 + 56*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*m, 3*s = -2*m + 3*m + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800316023?\nAnswer: 13, 41, 107, 14033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeftfeeft. Give prob of sequence te.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arau. Give prob of picking 1 u, 1 r, and 1 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1dad (base 14) to base 11.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 265 - -6*((-4)\/(-3))\/(-2). What are the prime factors of -2*((j\/(-6))\/3 + -1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 + 48*j - 87. Let g be n(22). Let u(t) = -4*t**2 - 25*t + 24. What is u(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -545 + 571. Suppose -h - h = -364. What is the highest common factor of c and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/3 + -1 - -6. Suppose u*b - 8 = -4*d, -b - 4*d = 3*b - 12. Suppose 0 = -3*q + b*q. Solve -5*s - 20 = 5*n, q*s + 5*n = s - 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)\/b)\/b*b\/(b*b\/b**(-7)*b)*(b\/(b*b**(-1)))**25*(b**5*b**7\/b)**(-10) assuming b is positive.\nAnswer: b**(-98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21.3751064 - 21.383. Round h to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 - -4)*7\/(-3). Let g = p - -4. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26158 - 790*z - 26158 + (-1 - 2*z + 1)*(3 - 5 + 4).\nAnswer: -794*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -537 + 818. What are the prime factors of j?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(4\/13)*z*z*z\/z**(3\/7)*(z*z**(-1\/4)\/z)**(-25\/6) assuming z is positive.\nAnswer: z**(8563\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(210)\/(5*sqrt(6))*-6)\/((sqrt(77) - sqrt(77)*-5)\/sqrt(11) - ((sqrt(42) - 2*sqrt(42))\/sqrt(6) + sqrt(7))).\nAnswer: -4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 128*o**3\/3 + o - 4. Is y(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25193, 25125, 25045, 24947, 24825, 24673, 24485, 24255?\n\"Answer: -c**3 - 61*c + 25255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1882449748.\nAnswer: 2, 1667, 282311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 11 - (-1 - (0 + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6467265 and 349860?\nAnswer: 5145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*k**2 + 69*k**2 + 29*k**2 + (-1 - 3 + 2)*(4 + 2*k**2 - 4).\nAnswer: 79*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**3 + 37*w + 100*w - 44*w - 2*w**3 + 2*w**2 in the form n*w + u + g*w**2 + f*w**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, l: 3}. Give prob of sequence tttt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 m when two letters picked without replacement from miiksswx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.34 - -0.04898912.\nAnswer: 0.38898912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1480, 3133, 4946, 6913, 9028, 11285?\nAnswer: 13678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 0 + 24 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 23*u + 370. What is the remainder when s(-22) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-14)\/(-35)*170\/408).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(4\/5)\/k)\/k)\/(k\/((k*k*k**3)\/k)))**(-14\/3))**(-8\/7) assuming k is positive.\nAnswer: k**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/60 and -29\/140?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67.994 - -68. Let q = -0.806 + r. What is q rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 3*p**2 - 10*p + 5. Let s(l) = -l**2 - 1. Let k(j) = -i(j) - 6*s(j). What is k(-8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(-24*y**2 - 4*y**2 - 2 + 7*y**2).\nAnswer: -21*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 2 + -1 + sqrt(2299) - 4*sqrt(190)\/(sqrt(10) - (-5*-2*sqrt(10) + sqrt(10)) - sqrt(10)))**2.\nAnswer: 316*sqrt(19)\/11 + 474437\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39238 and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30400 and 2240.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 4*x = -5*x. Let h be (2 - 0 - x)*-5. Let p(y) = -y - 8. Give p(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 5*j + 6*j)*(0 + 2 - 4)*(4 + 1 - 3)*(-j + 0*j + 0*j).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -25*o + 51*o + 26 - 25*o. Suppose -2*n + 10 = 0, -4*n + 14 = -v - v. Calculate the remainder when z(-14) is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1465952793403081 + 2\nAnswer: -1465952793403079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011101011101011110111 (base 2) to base 5.\nAnswer: 2310102141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 683a1b (base 16) to base 11.\nAnswer: 3945a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1617, 2955, 4015, 4797, 5301, 5527, 5475?\n\"Answer: -139*a**2 + 1755*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = r + 2*v, -5*r - 33*v + 536 = -34*v. Calculate the greatest common factor of 1961 and r.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104346829 is divided by 1228.\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 3)\/((-5)\/265). Let c = p + -33. Calculate the highest common divisor of 60 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*h + 30. List the prime factors of 276\/15 - (-6)\/h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 14*y + 1. List the prime factors of u(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.015 - -4.385. Let y = u + -1.4. Let h be (-294)\/(-390) + 9\/(-15). What is the biggest value in -3, h, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26127 and 15519?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -333 (b) -5 (c) 25 (d) -4 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25102.5 - -25103. What is the fourth smallest value in k, 0.08, -18, -3, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 31482*g + 4 - 1.\nAnswer: 31482*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 - 3*o + 3*o)*(4 + 4 - 5 + 2 + 0 + 0 + 2 - 1 + 1 + (-4 + 0 + 5)*(1 - 3 + 3) - 4 + 1 + 2 + 5 + 0 - 6 - 3 - 2 + 3).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpprrhrhkpw. What is prob of picking 1 w and 1 h?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -1 (c) 2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2))\/((-4)\/8). Let w(p) = 7*p - 6. Let v(j) = -104*j + 91. Let c(d) = 6*v(d) + 91*w(d). List the prime factors of c(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 2. Let i(j) = 1. Calculate -11*i(d) + 6*k(d).\nAnswer: -6*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32929 - 21762.\nAnswer: 11167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159 and 2491?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/6*(-828)\/(-4416))\/(10\/(-4)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 24*f + 3. What is r(5)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 36*n**2 - 61*n - 30. What is the thousands digit of w(-31)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 222*j + 481. What is the remainder when 578 is divided by o(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2 (b) 4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9*l**2. Let v(i) be the third derivative of -i**5\/60 - 2*i**3\/3 + i**2. Let b(n) = -n**2 - 3. Let k(j) = 4*b(j) - 3*v(j). Determine x(k(y)).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173001678.\nAnswer: 2, 3, 73, 394981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-3)\/2)\/(6\/(-8)) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1840, 14881, 50272, 119185, 232792?\nAnswer: 402265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61\/12 + 1865\/348. Suppose -15 = 3*g + 2*l, -3*l - 4 = 3*g + 17. Which is smaller: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - c + 2 + 3*c)*(-c**2 - 2*c + 2*c).\nAnswer: c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z**3 - 141*z + 141*z.\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 106095*i**3*o**2 + 41*i**2*o - 465*i*o**2 wrt i?\nAnswer: 636570*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/12351818 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6901 - 1920. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42943678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111101000011 (base 2) to base 13.\nAnswer: 1a17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 - 35*n**2 - 20*n - 35. Calculate x(-17).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + t = -6, 2*t = -3*a + 10 + 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.48 (b) -0.3 (c) -1\/8 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18864064, 37728130, 56592196, 75456262?\n\"Answer: 18864066*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i. Let g(v) = 62 - 26 - 17 - 22 - 19*v. What is g(d(u))?\nAnswer: 95*u - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q - 22 = 7 + 43. Suppose 5 - 25 = -4*b. Sort q, b, 25.\nAnswer: q, b, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7))**(15\/11) assuming a is positive.\nAnswer: a**(-105\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34865, -139197, -312995, -556259?\nAnswer: -868989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 400496911 to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 14 = 3*q, 4*q = -0*r + r + 17. What are the prime factors of (q - 3)*(17 - -1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1150a7 - -44?\nAnswer: -115063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -29. Calculate the lowest common multiple of 13 and k.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 53. Suppose a + 28 = 2*m, 23 + y = 5*m - a. Solve 4*v + 0*v = 3*o + 9, m = -4*o + 2*v for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0615 - -37.7615. Which is greater: j or -22\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 7*p + 32 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -614*s**2 - 8*s - 18. Let q be o(8). Let b = -6458021\/164 - q. Calculate the common denominator of b and -49\/12.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-1 + 0 - 0). Suppose 10 = 4*l + 2*c - 0, -20 = -3*l - 4*c. Solve v + r = 2*w - w, l = -w + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 124066*b + 1116555. What is k(-9)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2030513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = p - 2, 3*p - 4*z = 13 - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135689 and 1363.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/4 in 4, 9, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 463.0472 - 463. Round k to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -552*j**3 + 2*j**2 + 207*j + 11 wrt j.\nAnswer: -3312*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1911*r + 3864 - 4349 = 49354 + 91575 for r.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117.105 + -117. Let y = -4.145 - t. Round y to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4017 and 1854?\nAnswer: 24102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317*x - 313*x - 3*u = 564, 0 = 4*u + 16. Let o = -5 - -9. What is the remainder when x is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 12) in base 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 4, -151, -1, 3 in ascending order.\nAnswer: -151, -24, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (112\/14 + (-150)\/4)*-2. Which is smaller: 62 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 25. Suppose 6*m = 5*j + 10*m + 143, -q*m = 8. Do -27 and j have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*1*sqrt(110) - sqrt(110) - sqrt(110))\/((sqrt(20)\/sqrt(4) - sqrt(5) - sqrt(5))*6))\/((sqrt(352)*3)\/sqrt(2)*-3).\nAnswer: -sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011503723 to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/173804552 and 61\/4562888?\nAnswer: 1911850072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42373 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/302 and -8\/25481401.\nAnswer: 50962802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301043 is divided by 452.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 5*f**3 - 950*f**2 + 945*f = 0?\nAnswer: 0, 1, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0101888105 rounded to five dps?\nAnswer: -0.01019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 7*o**2 - 17*o - 107. Calculate a(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.717 plus -186158?\nAnswer: -186157.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -239 - 321. Solve -u = y - 138 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 6 = n. Let c be (-2 - (12 + -1))\/1. Let b = c + n. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*j**3 - 483*j**2 + 42*j + 3844050.\nAnswer: 24*j**2 - 966*j + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20242 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 396*c + 27723. Let m be r(-70). Determine p so that 70\/3*p**m + 190*p + 5\/3*p**4 + 320\/3*p**2 + 105 = 0.\nAnswer: -7, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 451*p + 2261. Give g(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -43 - (27 + (-6 - 47))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, r: 2, g: 1, c: 2, k: 12}. Give prob of sequence rkrg.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -621113.28 and -8.1.\nAnswer: -621121.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33\/(3\/(-15) + 539\/1870). Suppose -6*o - u = -344. Let k(c) = -3*c**2 - c + 8*c + c**3 + 10*c**2 - 2. Determine k(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 0*t - 31 + 13\/2*t**4 - 5*t**3 + 0*t**2. Find the third derivative of f(n) wrt n.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -746\/31 less than or equal to -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -5. Let u(h) = -2*h**3 + 6. Calculate the remainder when f is divided by u(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by 304.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -306*c**2 - 14*c + 30. Let q be w(3). Let y = q - -5761. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -91596 and -2289924\/25 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32648, 32661, 32674, 32687, 32700?\nAnswer: 32713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v - 3*v**2 - 8*v**3 + 119 + 4*v**2 + 94*v**3 - 98*v**3 to the form g*v**3 + a*v**2 + k*v + m and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 13*n**2 + 13*n - 12. Determine f(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-47943)\/(-1449) - 22) + -12 + 1\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3519 is divided by 1759.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-292)\/(-48)*(-18)\/39*(-4108)\/(-316)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -86039142 minus -703?\nAnswer: -86038439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2135236 (base 10) to base 6.\nAnswer: -113433204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(2\/11))**(-7\/5))**(-3\/7)\/((j**(-1\/4))**26\/((j\/(j**(-2\/9)\/j))\/((j\/(j\/(j**9\/j)))\/j))) assuming j is positive.\nAnswer: j**(2191\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 8\/29, -4, -0.18, -1, -12?\nAnswer: 8\/29","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.09, 1\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 - -27. Let a = 36 + k. Suppose 12*q - a*q + 4 = 0. Solve d = 5*p - d - 28, q*d = -2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-174)\/14 + 3)*-7. Let b = g - 61. Suppose 5*h + 80 = b*f, 5*h - 1 = 4*f - 65. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48016402 a multiple of 1042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, i: 3, n: 3}. Give prob of sequence iiaa.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 1. Let c(x) = -115*x**3 + 64*x**3 - 3 + 55*x**3. Determine -c(u) - 2*j(u).\nAnswer: -4*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + -3 + (sqrt(500) - (5 + 1*sqrt(500))) + 3)*3.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, 3\/22, -3, -4 in increasing order.\nAnswer: -8, -4, -3, -1, 3\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-10\/9)*l)\/(l**(13\/3)\/l)*(l\/l**(1\/48))**(-3\/44) assuming l is positive.\nAnswer: l**(-22247\/6336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, 1, -1 in ascending order.\nAnswer: -1, 1, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -1. Let a be (51\/(-6))\/(t\/12). Let w(k) = -k**2 - 15*k - 10. Let x be w(-11). What is the highest common divisor of x and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-124*h**2 - 123*h**2 + 15*h**2)*(h + 0*h - 2*h)*(-12 + 12 + 10*h**2).\nAnswer: 2320*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2551962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -2204*b + 2203*b - 19, 5*b + 41 = -4*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23, 12, 71, 154?\n\"Answer: 12*u**2 - u - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 + 150*q**3 + 6*q**3 - 80*q**3 - 78*q**3 + 23*q**2.\nAnswer: -2*q**3 + 19*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4070768?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-6))\/(5\/3))\/(-2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-1))\/((-3)\/(-8)). Suppose b - j = 9, 3*b - 5*j - 21 = i. What is the highest common factor of 20 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/11 - 90*b\/11 + 328\/11.\nAnswer: 2*(b - 41)*(b - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 16*h. Let a(z) = -7*z. Let g(o) = 9*a(o) + 4*s(o). Let v(b) = 2*b**2. Give g(v(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 5)*(-8)\/(-12). Let k(t) = -9*t**2 + 4*t**2 + t**g. Let o(s) = -s**2. What is o(k(r))?\nAnswer: -16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-40))\/(4025\/175 - 15873\/690)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*l**6*s + 20*l**6 - 6561*l**2*s wrt l?\nAnswer: -720*l**3*s + 2400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 124237 - 25?\nAnswer: 124212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}