diff --git "a/data/dm_maths/full_data/2238_11255.jsonl" "b/data/dm_maths/full_data/2238_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2238_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let o = -119\/12 + 29\/3. Let c = 8 - 7.99. Let u = -0.49 - c. Sort o, 4, u in descending order.\nAnswer: 4, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4478 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3897 - -0.0103. Which is the third biggest value? (a) -1\/3 (b) 0.03 (c) -2 (d) s (e) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 10 + 35 = -15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 11. Differentiate -3*o**r + 3*o**2 - 3 + 2*o**2 with respect to o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1377 + 1377.9955. Let t = 0.05 + m. Let d = -1.07 + t. What is d rounded to 3 dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 167*w + 84*w + 1 + 109*w + 44*w.\nAnswer: 70*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/3 - 11378630*t\/3 - 32368305169225\/3 = 0. What is t?\nAnswer: -5689315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 3*o = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 170216 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4401, -4402, -4405, -4410, -4417?\nAnswer: -4426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1671*y - 172*y**3 - 1671*y + (6*y**2 - y**2 - 3*y**2)*(2*y - 6*y + 3*y) - 3*y**3 - 2*y**3 + 3*y**3.\nAnswer: -176*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*6\/(-120)*-10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6866 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 51194?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**2 + 272270978*b + 18532871365269121 = 0?\nAnswer: -136135489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/4 + 31227*n**2\/4 + 20272110*n - 223938825.\nAnswer: 3*(n - 11)*(n + 5210)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 113 + 66?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -9) + (-7 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 4*i + 4*i)*((i - 5*i + 2*i)*(2*i + 0 + 0) + 363*i**2 - 541*i**2 + 345*i**2).\nAnswer: 1304*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 13.6.\nAnswer: -5.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.96 - -25. Let x = d - -0.36. Let w = -2 - -1. What is the closest to w in x, 2, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39223, -78362, -117423, -156406?\nAnswer: -195311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -8*t + 1\/4*t**4 + 1\/3*t**3 + 0 - 1\/2*t**2. What is the units digit of v(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 4:21 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is b90c81 (base 13) in base 3?\nAnswer: 22011200000212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/12)\/(2\/8). Suppose 4*f = -3*w - 7, x*f = -4*w - 0*f. Differentiate -w - q**4 - q**4 + 4 wrt q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**1*u)\/u)\/(u\/(u**(-7)*u)))**(3\/7))**(-22) assuming u is positive.\nAnswer: u**(396\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -2. Let p = 3 + w. Let m = p + -1.4. What is m rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/846*(-1 - (-8)\/(-4)) and -117\/20.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + -2130?\nAnswer: -2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 85 = -2*g + 277, 0 = -g + 3*c + 185. What is the remainder when g is divided by (2\/(-4))\/((-10514)\/700 - -15)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 15 = -5*b, -2*k + 6 = 5*b + 2*k. What is the second derivative of -b*p**4 + 2*p**4 + 3*p - p**4 + 3*p**4 wrt p?\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, y: 5, h: 2, b: 4}. Give prob of picking 2 y, 1 b, and 1 l.\nAnswer: 32\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84180, 169668, 255156, 340644, 426132, 511620?\nAnswer: 597108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, o: 7, b: 2, u: 1, k: 2, a: 4}. What is prob of picking 1 o and 1 k?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/10, 5\/281, 2?\nAnswer: 5\/281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 10, 13, 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13438100 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from {u: 2, a: 2, k: 2, x: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -851*s**2 - 184. Let c(y) = 23*y**2 + 5. Let f(m) = 174*m + 1034. Let o be f(-7). What is o*c(a) - 5*x(a)?\nAnswer: 23*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = -0. Suppose 3*h - 45 = 3*o + x*o, 4*o - 4*h + 44 = 0. Let y(t) = t + 2. Give y(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*m + 6*m + 5*m)*(-7*m + 3*m + 2*m) + 1 + m**2 - 1 + 2*m**2 - 4*m**2 + 0*m**2)*(0*m + 3*m + 0*m).\nAnswer: -57*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6497?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5\/2))**(24\/11)\/((j*(j\/((j*j\/(j**(-17\/2)*j))\/j))\/j)\/j**(-8)) assuming j is positive.\nAnswer: j**(-131\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 6*w**2 - 7*w + 7. Let q = 11 + -18. Let t be y(q). Solve 9 = -4*f - t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22199*r - 22199*r - 2*r**2 - 8*r**3 - 354 + 2*r**3 in the form a*r + c*r**2 + z + g*r**3 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 3*d + 188. List the prime factors of f(-32).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxg when three letters picked without replacement from xwhiwxwxgwwqhxxgx.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 87420368.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 808379236 and 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3 - 4*x**2 - 4*x + 16 = 0.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305019771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 25*p. Let t(w) = -28*w**2. Determine t(i(s)).\nAnswer: -17500*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 198811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*t = -97 + 9, 4*w - t = -99. Sort w, 5, -4 in decreasing order.\nAnswer: 5, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 5:03 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 5 = -3*v, 4*y + 3*v + 3 = -8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-1))\/x)**(-17\/2)\/((x\/(x*x**(-2\/25)))\/(((x*x\/x**(-9\/2)*x)\/x)\/x)))**(-2\/41) assuming x is positive.\nAnswer: x**(154\/1025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(138320\/2821))\/((-1)\/19)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*f = -6, -22 = -11*v + 6*v - 2*f. Calculate the lowest common multiple of 10 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (-14 - -23 - -6) + 5 - (-2 - 99)\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 - 3*h + 9. Let c(g) = -5*g**2 - 4*g + 10. Give -3*c(k) + 4*i(k).\nAnswer: -k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-1 - -18) + (-25 - -27 - 4))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 10 = 2*o. Let f(y) = y**2 - y - 2. Let k be f(o). Suppose -k*p + 538 = -226. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -179.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0*h + 0*h)*(0 + 1 + 1) + 79*h + 65 + 65 - 133 + 0*h + 0*h + 2*h.\nAnswer: 77*h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 135 - 2?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-363)\/21)\/(-1) + 21 + (-2980)\/140\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44747 and 60177.\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 8125*r**2 + 319*r + 318. What is the thousands digit of x(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5109997572 to the nearest 100000.\nAnswer: -5110000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 15*x**2 - 2 + x**3 - 18*x**2 - x + 4*x**2. Calculate s(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + x + 2*x. Give k(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.9376 to 1 decimal place.\nAnswer: 15.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 9:52 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1248.6891ns to minutes.\nAnswer: 0.000000020811485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475280?\nAnswer: 2, 5, 13, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 4*i**3\/3 - 2*i**2 - 35*i. Let o be h(6). Suppose -2*f + o = -50. List the prime factors of f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -222*y - 713 - 1063 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 2*v**2 + 3*v - 4. Let j be t(-3). Let k = j - -9. Put k, 1\/5, -0.4 in increasing order.\nAnswer: -0.4, 1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(242) + -1*sqrt(242))*-5 - ((1 + sqrt(242) - sqrt(242))*1 + sqrt(242))**2).\nAnswer: -244 - 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*f + 100*f - 38*f as j*f + q and give j.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -853*l. Let r(n) be the third derivative of -n**4\/24 - 3*n**2 - 46*n. What is r(c(y))?\nAnswer: 853*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -56749308 divided by 77?\nAnswer: -737004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -401b (base 12) to base 7\nAnswer: -26135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -17, -23?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3922 is divided by 800.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3*n - 16. Let x = 20 - -10. Suppose -8*l + 6*l + x = 0. Is l greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h - 3. Let s(a) = -2 + 0*a - 3*a + 0 - a. Let q(j) = 3*g(j) - 5*s(j). Calculate q(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2 = 3*m, m + 25 = -d. Calculate the common denominator of -47\/4 and -5 - -4 - 260\/d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92\/203 + -9921\/8120. What is the common denominator of d and -71\/44?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 7*o - 1. Suppose -7 = 5*a - 27. Suppose -a*p = -p + 9. Let c(v) = -v**3 - 3*v**2 + 1. Let z be c(p). What is l(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgg when three letters picked without replacement from {q: 3, v: 1, y: 1, x: 6, g: 4}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 6*w - 3*z + 21 = 0, -w + 11 = -z for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 e when four letters picked without replacement from {c: 5, e: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -808 - -913. Let k be (2\/(-5))\/(1\/165). Let d = m + k. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.19 - 1.69. Let g = 19 + -12. Suppose 3*r = 5*k + g, 0 = -5*r - 3*k + 2 + 21. Which is the biggest value? (a) r (b) -0.1 (c) i (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**3 + q**2 - 17*q. Let a(d) = 11*d - 4. Let i(c) = -3*a(c) - 5*s(c). What is i(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-4*sqrt(425)*2 - sqrt(425)) + sqrt(425))*-1 + 4 + (sqrt(102)*1*6)\/(sqrt(486)*-1 - sqrt(6)).\nAnswer: 7 + 197*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-5))\/(6\/15). Suppose -4*z + 3 = -f - 17, 0 = -3*z - 2*f + 4. Suppose 0 = -5*b - z*c + 2, 2*b - 2*c + 7*c + 6 = 0. Sort b, j, -1.\nAnswer: j, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfffvvffvhv. Give prob of sequence vk.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 78744811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + d - 4*d - 19 = 0, -p = -d - 9. What are the prime factors of 650\/p + (-6)\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 5*t**2 - 7*t - 2. Let q be w(-6). Let u be (-44)\/(-33)*(-3)\/2. Is (45\/(-6))\/(u\/q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f + 3*f - 9*f + 6*f**2 + 1 to the form j*f**2 + x*f + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.612014166 to 3 dps.\nAnswer: 1.612","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3093264620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + ((-3)\/2)\/((-93)\/434).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 548639335 to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a8 (base 16) in base 14?\nAnswer: -4ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -32, -79, -176, -341, -592, -947?\nAnswer: -1424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -97032 divided by 3\nAnswer: -32344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -767754*q**5 - 53*q + 3259 wrt q?\nAnswer: -15355080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*1\/2*(-14 + 14). Suppose 4*p - 70 + 18 = y. What is the first derivative of g**3 - 37*g**3 - p - 10 + 29 wrt g?\nAnswer: -108*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134808 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.1, -0.4, -32, 0.4, 0.01 in descending order.\nAnswer: 4, 0.4, 0.1, 0.01, -0.4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/7))**(-4\/5))**(-42)*((a**(-2\/5)\/a*a)**7)**29 assuming a is positive.\nAnswer: a**(-502\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 15*s. Let f(g) = -3*g - 483. Calculate d(f(k)).\nAnswer: -45*k - 7245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -53958 divided by -6\nAnswer: 8993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2193 and 17085?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55883363\/18 - -3100509. Let f = 4127 + y. Calculate the common denominator of f and 35\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 28*c**2 + 8*c - 122. Let y be x(8). Let j = -1196 + y. List the prime factors of j.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 >= 314804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 40*j - 50. Let g(o) = 2*o - 5. Let p(f) = -2*c(f) + 20*g(f). Let l(q) = 21*q. Determine l(p(y)).\nAnswer: -840*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35084780 is divided by 112.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493158 is divided by 2953?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7, -169, 0.8, -0.28, -2?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13221211 + 12321?\nAnswer: 13300132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -752 - -305. What is the tens digit of (-2)\/(-12) - w\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 157, 153, 147, 139?\n\"Answer: -r**2 - r + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (6\/63)\/(8\/414) and (5\/(-4))\/((-3)\/(-102)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 14*f**2 - 3*f + 5. Let o(j) = -21*j**2 + 4*j - 7. Give 7*a(n) + 5*o(n).\nAnswer: -7*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8*6\/48*-4. Let y(v) be the third derivative of 1\/3*v**3 - 2*v**k + 32\/5*v**5 + 0 + 7*v**2 + 0*v - 128\/15*v**6. Factor y(m).\nAnswer: -2*(8*m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 520, 1050, 1594, 2152, 2724, 3310, 3910?\n\"Answer: 7*a**2 + 509*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 13*w + 3. Let q be d(12). Solve -2*x = -r - 11, -2*r + 3*x - 3 - q = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1208576739.1+1\nAnswer: 1208576740.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**2\/c**(-5)*(c**(2\/21))**(3\/8) assuming c is positive.\nAnswer: c**(197\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**5\/60 - z**2. Let q(r) be the first derivative of 2 + 0*r + 1\/2*r**2. What is q(i(k))?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 8:48 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 2\/5, 4 in ascending order.\nAnswer: 0, 2\/5, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1146, 5676, 13230, 23808, 37410, 54036, 73686?\n\"Answer: 1512*a**2 - 6*a - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-88)\/(-28) + (-1)\/7. Solve -c + 1 + h = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 5*q - 326, 0*i - i = 4*q - 87. Let n = -59 + i. Find the third derivative of -5*a**5 + n*a**5 + 109*a**2 - 129*a**2 wrt a.\nAnswer: 900*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35822 is divided by 35744?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvggvbgvvpvv. What is prob of picking 1 b and 2 g?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33848199?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 0, -1, 2 in descending order.\nAnswer: 34, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -12*r**4 - 1463*r**3 - 1324*r**2 + 853*r + 726 = 0.\nAnswer: -121, -1, -2\/3, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57094?\nAnswer: 2, 28547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-5 + -1)*1\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -69.\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 519580 and 55444?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -5\/9 (b) 0.1 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (153\/(-102))\/((-45)\/(-4))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 103\/5*q + 1\/5*q**2 - 104\/5 = 0?\nAnswer: -104, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47.9112 - -49.9504028. Let g = q + -0.0268928. Let d = g + -2.01. Round d to four dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 18. Suppose -8*b - 5*i = -3*b + 25, -9 = 3*i. Let w be (1 + b)\/((-3)\/c). Let k(o) = o**3 - 3*o**2 + 3*o - 2. Give k(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*a)*(-3*a - 2*a + 3*a)*(-1137 - 1448 - 1692).\nAnswer: -17108*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from fsmrrrrsmify?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 39*j**2 + 100*j - 923. Give b(37).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.99 - 2. Let a = -2.99 + o. Let z = 1\/3 - -1\/6. What is the nearest to z in -4, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16250 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 23, -4, 0, 4 in increasing order.\nAnswer: -4, 0, 2, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -152 - -155. Solve -d*r + 0*r = 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 3 + 8*t**2 + 0*t**3 - t**3 - 6*t - 1. Let j(c) = 7*c**2 - 5*c + 4. Let w be j(1). What is q(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*r**2 + r - 2*r + r.\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 11*n = -2*q - 399892, 0 = 3*q - 15. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*i + 3*i + 4 - 93*i - 22*i - 128*i**2.\nAnswer: -128*i**2 - 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -663 + 662.966. Which is the smallest value? (a) -3 (b) y (c) 3\/2 (d) 0.3 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -9 - (-1 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (34 - 9 - 5)*((2*w - 3*w + 2*w)*(-3*w - 7*w**2 + 3*w)*(-5 - 2*w + 5) + 0*w**2 - 3*w**4 + 0*w**2) as g*w + s*w**3 + a*w**4 + t*w**2 + u and give a.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2441 - -44343?\nAnswer: 41502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 128126786677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + 0)*2\/8. Let x = r - -2. Solve 2*o + c = -3*o + 10, 0 = x*o + c - 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 2*r + 20, -3*k - 3*r - 21 = -0*r. Let o be 1*(0 - -2) + -9. Let j be 2\/o + (-12)\/(-189). Which is the closest to 0? (a) j (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5853047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwo when three letters picked without replacement from {o: 2, w: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-8)*h*h**(1\/8))**(3\/13))**40 assuming h is positive.\nAnswer: h**(-825\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*c + t, 5*c + 5*t - 5 = -0. Suppose -5*g + 0 = 10, 11 = 3*o - c*g. Calculate the highest common divisor of o and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 12 = -y. Suppose -y*m - 6 = -3*w, 2 = -m - 4*w + 10. Let p = -5.0332 - -2.0332. What is the fourth biggest value in p, 0.4, -2\/9, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2176864 is divided by 435369?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-658*m**2 - 169*m**2 - 284*m**2)*(142 - 23*m - 142) to o*m + c*m**3 + v*m**2 + r and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28529, 28529, 28519, 28493, 28445, 28369, 28259?\n\"Answer: -p**3 + p**2 + 4*p + 28525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1764.999997068 + -1765. What is k rounded to 7 dps?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -42 (c) -121\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.18 + -2.68. Suppose -4*i = 9*i + 13. Which is the third biggest value? (a) i (b) k (c) -2 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, 2.9, 4\/9, -0.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2\/9))**15\/(c**(-6)*c**9) assuming c is positive.\nAnswer: c**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 123 + -36. Let m = -60 + d. Suppose 4*p = 3*p + m. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47053517?\nAnswer: 7, 719, 9349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -28038981\/11 at least as big as -2548999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/3, 140, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -300 + 301. What is the nearest to i in -4, 1.3, -5?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 43, -874, -2, 8 in descending order.\nAnswer: 43, 8, 0, -1, -2, -874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8181 - -8203. Solve -b*t = -16*t - 30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by -6?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k - 2*k + (1 + 1 - 3)*(-4 - 6 + 0)*(k - 4 + 4))*(6*k**2 + 0*k**2 - 4*k**2).\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2)*f\/f**5*(f*f\/f**(1\/7))\/(f*f**5))\/((f\/(f*(f*(f\/(f*f*(f*f**(-1))\/f*f))\/f)\/f))**(-2\/147))**(-17) assuming f is positive.\nAnswer: f**(-2383\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12533024 - -5?\nAnswer: -12533015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 6:19 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5928 + 5943. Let j = 548 - 251. What is the remainder when j is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/12 - 1099\/(-28). Suppose -4*y - b = -5*o - 12, 0 = 3*o - 9. What are the prime factors of (1 + y)\/(3\/(-78))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**2 + 31*g - 4. Determine f(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1462 - 68*t**2 + 1462)*(3*t - 4*t + 4*t).\nAnswer: -204*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1508 is divided by 126.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -14, -5, -10, -123, 7 in ascending order.\nAnswer: -123, -14, -10, -5, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**5\/60 - y**4\/24 - 4*y**3\/3 + 8*y**2. Let s be x(4). Solve 7*b - 2*b - 26 = s*t, 2*t + 10 = b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 810455?\nAnswer: 5, 162091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + 94\/3. Sort f, 0.6, -1 in decreasing order.\nAnswer: 0.6, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w*w\/(w\/(w\/(w*w\/w**(1\/8)))*w))\/w)*w)\/w*w)**22 assuming w is positive.\nAnswer: w**(341\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -181, -321, -461, -601, -741, -881?\n\"Answer: -140*t - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, 1, 2\/3 in descending order.\nAnswer: 93, 1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*d + 3791 = 60*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 10008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 = 77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 6*o - 46 = 0. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - (sqrt(175) + 1))**2 - (0 + 1 + sqrt(7))) + ((0 + sqrt(7) + 1)*5)**2.\nAnswer: 49*sqrt(7) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(176) - (-1 + sqrt(176))) - (sqrt(176) + 0 + sqrt(176) + -1 - sqrt(176) - sqrt(176)) - (((sqrt(176) + -2)*-5 - sqrt(176)) + -5))*2)**2.\nAnswer: 192*sqrt(11) + 25348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*s**5 - s**2 - 12*s**4 - 5*s**2 - 15*s**3 - 3*s**5.\nAnswer: -3*s**2*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -6. Let s = -43\/5 - -91\/10. Determine a so that 1\/2*a**q - s*a + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*c + 4*a + 31, -5*c + 13 = 3*a. Solve -h + 0*h = c*i - 12, 2*h = 3*i - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -37313.15228 from 136.\nAnswer: 37449.15228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*b**6 + 462*b**3*u + 8*b**2 - 122*b*u wrt b?\nAnswer: -1560*b**3 + 2772*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2613181, 2613186, 2613195, 2613208, 2613225?\nAnswer: 2613246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 11*x - 53*x + 16 - 37*x to q + r*x and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(288) - sqrt(288)*-2*-6 - (2*sqrt(288) + 3)))**2.\nAnswer: 2184*sqrt(2) + 48721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/9 + (-45)\/27 + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - y**2 + 2*y + 3. Let c = -43 + 41. Let l be m(c). Solve 4*f - f = -l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 - -81. Factor 5*o**2 - 39 - i*o**2 - 98*o - 14*o**2 - 3*o**3 - 12*o**2 + 17*o.\nAnswer: -3*(o + 1)**2*(o + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 5*f**2 - 7*f + 8. Let j be r(6). Let k = 20 - j. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*a - 0. Suppose 0 = -3*p + 5*p - 6. Let y be ((-9)\/4 - -3)*(-300)\/75. Sort p, y, a in descending order.\nAnswer: p, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 812 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 282733 (b) -1\/5 (c) 18 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 16751413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -9. Suppose -a*s - 13 = -5. Put 1\/6, 0, s, 0.1 in ascending order.\nAnswer: s, 0, 0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 times 0.07\nAnswer: -1.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5130, 10185, 15242, 20301, 25362, 30425, 35490?\n\"Answer: r**2 + 5052*r + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -145 - -865\/6. Let h = 5 - -5. What is the biggest value in 0.1, w, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0*l + 26. Suppose 4*p - 6*k - 116 = -10*k, 125 = 5*p + k. Let j = l + p. Calculate the least common multiple of j and 21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 19*y - 13. Let q(h) be the second derivative of h**3\/2 - h**2 + 64*h. Determine 6*j(o) - 39*q(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*f + 228*f - 42*f - 52*f - 42*f.\nAnswer: 21*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1097*h**5 + 652*h**4 - 2*h**2 + 30561054*h?\nAnswer: 21940*h**3 + 7824*h**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 188 + -108. Suppose -7*h = -2*h - k. Let f = -10 + h. What is the greatest common factor of 18 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 168 = -582. Let p = n + 48. What is the greatest common factor of 4 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 187075 and 295?\nAnswer: 11037425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*z, -5*z = -4*n - z. Let k = n - -3. Let f = -2 + k. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 10*j + 10. Let o be (14\/(-10) - -2)*15. Let z be a(o). What is the remainder when (-2)\/(z - 2) + 35 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - y - 4*y)*(424 - 424 + 37*y)*(-13*y - 8*y + 16*y).\nAnswer: 370*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2209984?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-5)\/8*28.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -432*i**3 - 296*i**3 - 283*i**3.\nAnswer: -1011*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 a, and 1 w when four letters picked without replacement from {t: 1, n: 4, w: 2, h: 4, a: 3, f: 3}.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/6)\/((-10682)\/4578))\/(2\/(-756)).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 890731 and 439.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/((-5)\/(20\/(-312))). Let a be ((-3)\/4)\/(42\/(-56)). Which is bigger: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 379*x - 50782. Calculate h(134).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-21)\/(-35))\/(1\/5). Let i = t - 4. Let q be 6*i\/(-2)*1. Solve -2*z + 6 = -5*h + 4*h, q*z = -5*h + 35 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ikik when four letters picked without replacement from iiiikiiiikki.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 8 = 4*o. Let a be (0 - (o + 3)) + 5. Let n(y) = a + y**2 - 4. Let t(z) = -3*z**2. Calculate t(n(p)).\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -958.8 + 854. Let g = q - -104.3. Let d(a) = -21*a + 3. Let c be d(-3). What is the third smallest value in c, -5, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(11\/5)*l**2*l assuming l is positive.\nAnswer: l**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 26 = v, 3*c = -2*v + 57 + 19. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - i. Let d be m(-1). Suppose -c + 29 = d*p, 3*p - 31 = c + 20. Calculate the highest common divisor of p and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*r**2 + 3*r - 3*r.\nAnswer: -86*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1211*p**2*r**3 - p**2*r**2 - 4*p**2*r - p**2 - 769*p*r - 22*r**2 wrt r.\nAnswer: 7266*p**2*r - 2*p**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a2770 + 0?\nAnswer: -1a2770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 17 = -5*n, -2*s = 3*n - 2*n - 11. Suppose 6 = v - 8. Let u = v - s. Solve -u = -0*x - 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236448 to the power of 1\/2, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2267 + 2267.11. What is the nearest to 1\/3 in p, 0.4, -10, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(5082))\/sqrt(6).\nAnswer: -11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/(-4) + (-15)\/(-10). Let v = -9 - -11. Sort o, -1\/4, v.\nAnswer: o, -1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -85, -129, -173, -217?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*m, 7*m + 3722 = 5*x + 11*m. Let q = 4441\/6 - x. Calculate the common denominator of (-393)\/(-24)*(-8)\/6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - 54) + 96 - (7 + -6 - (1 - -32))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-2\/3)*w)*w*w\/w**(2\/3))\/(w**7*w)**(-31) assuming w is positive.\nAnswer: w**250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 10:35 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307*p + 1074*p + 847*p + 1287*p - 931*p.\nAnswer: 1970*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5110 (base 8) to base 13.\nAnswer: -1276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**5\/8 + 35*v**4\/8 + 97*v**3\/8 + 29*v**2\/8 - 49*v\/4 - 8 = 0.\nAnswer: -32, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -5. Let v(t) = -t + 10. Let h be v(8). Factor y - 32\/3*g**3 + 8\/3*g**h - 6*g**5 + 0*g + 14*g**4.\nAnswer: -2*g**2*(g - 1)*(3*g - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4229 is divided by 1115?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 1.91537.\nAnswer: -0.957685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 3:17 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n\/(n*n*n**(-2\/29)))\/n)\/n**(1\/7))\/((n*n*(n**(-2\/13)*n)\/n*n*n*n)\/n*n)**(-34))**(1\/11) assuming n is positive.\nAnswer: n**(39272\/2639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-1))\/1 - 6. Solve d = 4*j + 4*i - 32 + 8, 0 = -5*i + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - (sqrt(143) + 3*(sqrt(143) + -2*sqrt(143) + sqrt(143))))\/((sqrt(11) - (sqrt(11) - sqrt(11)*-1))*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61147 - ((-1)\/(-9) - (1 + (-1550)\/225)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*((-22)\/6 - -2). Let i(c) = -2*c**2 + 3*c**2 + j + 25*c - 18*c. Give i(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 7 - 2 - 21) + (70 + 12 - -2)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -188 + 190. Let h(m) = -15*m**2 + 2*m - 1. Let f(s) = -15*s**2 + 2*s - 2. Let u(l) = 2*f(l) - 3*h(l). What is the units digit of u(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -415 or -559?\nAnswer: -415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) 0.2 (c) 7 (d) 616437\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(2\/17))**(-6\/23)*(t**7)**(-32) assuming t is positive.\nAnswer: t**(-87674\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**5 + 44*u**4 + 128*u**3 + 112*u**2 = 0.\nAnswer: -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1883027.6801 to the nearest one hundred.\nAnswer: 1883000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 18. Determine w(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2879143*h**2 - 960683*h**2 - 959232*h**2 - 959232*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 241.38 * -131\nAnswer: -31620.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -358. Solve m*r - 2 = 342*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 8:18 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1345*z + 247 = -1364*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4786 + 4785.8. Which is smaller: 39\/7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403 = -28*j + 3343. Let x = j - 201\/2. Factor 3\/4*w**2 - 21\/4*w + x.\nAnswer: 3*(w - 6)*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 266.05 to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (43\/(-15) - -2))*(-1269)\/(-564)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*s + 4*s**2 + 614*s**4 - 313*s**4 - 297*s**4 to the form y*s + r*s**3 + i + p*s**2 + j*s**4 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -426.13 + 430. Let s = -5.53 + 5.4. Let q = r - s. What is the closest to -2\/3 in -0.5, q, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-31)*m**13)\/(m**(-21\/4)\/m*m\/m**(-1\/4)) assuming m is positive.\nAnswer: m**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 305 and 5978.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (-42)\/12)*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaapiapppppa. Give prob of picking 1 p and 3 a.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -8. Let l(o) = o**2 + 4*o**2 - 6*o**2 + o + 0*o. Let a(b) = 8*b**2 - 8*b + 2. Calculate y*a(n) - 6*l(n).\nAnswer: -2*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37760331 a multiple of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -10 (b) -0.3 (c) -0.5 (d) -2\/9 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(10\/(180\/(-6)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8 + -0.2. Let s = -85 - -124. Let m be 1\/9 + (-13)\/s. What is the closest to q in -2\/7, 5, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89 - 59. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 7340904 = 5*y - 19659086, 3*i + 15 = 0. Suppose 3*z - 3*a = -y, -a - 1800001 = z - 0*a. Round z to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u + 207. Calculate c(56).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15158*h - 1 + 1 - 13544*h.\nAnswer: 1614*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h**2 - h + h)*(-h**2 - 4 + 4) + 4*h**4 + 6*h**4 + 2*h**4 + (1 + 1 + 0)*(-2*h**4 + 3*h**3 - 3*h**3) to k*h**4 + q*h**2 + u*h**3 + b + y*h and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3496569 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 9*z + 12. Sort -1, 2, z, 1 in increasing order.\nAnswer: z, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -629*l**6\/60 + 266*l**3\/3 + l**2 - 2. Differentiate f(n) with respect to n.\nAnswer: -3774*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from pxexexxppepeeeexpe?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*j + 16 + 149 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*z + 35*z + 228 = 0. Let x = z - 82. Let o(i) be the first derivative of -i**3\/3 - 7*i**2\/2 + i + 17. What is o(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15564193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/15 + 8\/12. Suppose n*d - 10*d + 112 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53693917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/4, -0.31, -3 in decreasing order.\nAnswer: 1\/4, -0.31, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4375380 by -60.\nAnswer: -72923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 3*x - 2. What is the least common multiple of -1 - (-35 - (16 - 8)) and g(-5)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125547 (base 12) to base 4\nAnswer: -1021023013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -67*i**3 - 753*i**2 + 17*i - 23. Let r(m) = 17*m**3 + 201*m**2 - 4*m + 6. What is 15*r(l) + 4*y(l)?\nAnswer: -13*l**3 + 3*l**2 + 8*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.7 + 1.6. Sort -2, h, 3\/4 in ascending order.\nAnswer: -2, h, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 341*y - 6707. What is c(-21)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*c = 286 + 300, -738 = -4*w - 2*c. Calculate the remainder when w is divided by (-14625)\/468*(-8)\/5.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -613?\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -215317*c**3*h + 762*c**3 + 24*c**2 - 2 wrt h?\nAnswer: -215317*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(-2 + 9\/12). Suppose -b*s - 3*d = 0, 2*s = d + d + 16. Factor -2*h**3 + 0*h**2 - 2*h**2 + 2*h**s - 2*h**3.\nAnswer: -2*h**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c1 (base 15) in base 11?\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/11 + 19\/22. Suppose 4*r = -3*i + 3, r - 2*i - 1 = -3*i. Factor 3\/4*m**4 + r + 0*m + 1\/4*m**3 - n*m**2.\nAnswer: m**2*(m + 1)*(3*m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 11:40 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1426, 1381, 1336?\n\"Answer: -45*b + 1471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2267007 is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -2*r**3\/3 + 12618. Let i(m) = 2*m + 1. Let u be i(2). Let w(l) = -45*l + u*l - 7*l. Determine j(w(b)).\nAnswer: -4418*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16994472?\nAnswer: 2, 3, 11, 64373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 863 = -2*a - 865, -5*h = -a - 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*a + 8 - 79*a - 68*a.\nAnswer: -92*a + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzv when three letters picked without replacement from {z: 10, v: 2}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + -58 + 57\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 4*h = 0. Suppose -4*b = 2*v - 0*b - 268, h = 5*v + 3*b - 663. Let z = v + -19. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2420) + (sqrt(2420)*-3 - sqrt(2420)) + sqrt(20))\/sqrt(4).\nAnswer: -32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -13*z**3 - 21*z**2 - 19*z + 2. Let l(r) = -7*r**3 - 11*r**2 - 10*r + 1. Let g(q) = -6*i(q) + 11*l(q). What is g(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -167, -252, -337?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -336866597*m + 57092214 wrt m.\nAnswer: -336866597","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4495.193 meters in millimeters?\nAnswer: 4495193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 8:18 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4589\/(-353) + (9 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 638645 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 12, -7, -50, -123, -232, -383, -582?\nAnswer: -835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*y + 72900 = 78*y. What is y rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 18, 29, 40, 51?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 6203324048.\nAnswer: -6203324048.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 + -83. Suppose 0 = 6*m - 2*m + 12. What is the units digit of (c\/(-12))\/((-2)\/m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26676 - 26962. Does -282 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 56.\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 574 by -82.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1694 - 858 + 4*y - 4*y - 836 + 22*y**2.\nAnswer: 22*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8719.99 - 2.55275?\nAnswer: -8722.54275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1591 + -1582. Solve -c = -4*f + 20, -5*c + 4*f - h*f = -25 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - -73. Suppose 3*f = -4*n + p, 0*f - 3*n = -4*f + 1. Let z(q) = 2*q + 4. What is z(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 - c - 2. Let t(q) = -7*q**2 + 28*q + 3. Give -t(l) - 4*z(l).\nAnswer: -5*l**2 - 24*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 450, 1\/6, 40, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfff when four letters picked without replacement from kxfkkkfxxkkkffxkxkx.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 964 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 262385700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 34783.5 millennia?\nAnswer: 417402000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*y + 2*y**3 + 59 - 11*y - 126 - 38*y + 61 to the form t + w*y**3 + k*y + p*y**2 and give k.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*p - 20*p - 22*p - 690*p**2 - 23*p - 135*p**2.\nAnswer: -825*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 3*l**2\/2 - l + 3. What is the units digit of x(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 12:59 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by -26.\nAnswer: 33\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + t + 3*t - 84, 0 = -4*t + 8. Find the third derivative of -s*q - 11*q**5 + 12*q**2 - 14*q + 33*q wrt q.\nAnswer: -660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**2\/4 + 62934*r + 1320229452 = 0. Calculate r.\nAnswer: -41956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 708*c - 28. What is the thousands digit of w(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from {t: 2, l: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/10 and (-2)\/(-12) + (-41736)\/376290.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 0 + 0*p - p**2 + 0*p**3 - 1\/4*p**4. Let i be ((-2)\/(-4))\/(2\/(-4)). Determine l(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -618275*x + 8936720 + 618276*x - 8936720.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + (-45)\/(-10))*(-131 + 8 + 21)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2 (c) -3 (d) 2389\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8280, 17494, 28566, 42426, 60004, 82230?\nAnswer: 110034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 160 + -320. Let p = o + 157. What is the biggest value in 152, 5, p?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 13.0585, -0.06 in ascending order.\nAnswer: -2\/15, -0.06, 13.0585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -y + 2*y, 0 = 4*w + 2*y + 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -249*k**2 + 208*k - 420. What is o(2)?\nAnswer: -1000","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -347.2 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 46 - -a?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 - a**4 - 6*a**4 + (-6*a + 3*a + 4*a)*(-12*a**3 + 4*a**3 + 51*a**3) + 2*a**4 - 2*a**4 - a**4.\nAnswer: 34*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 6*s - 33)*(s - 3 + 3).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 18 + 23 - 37 - r. Let f be 14\/(-8) - 2\/8. Let x(q) = q**2 - 1. What is f*x(l) - c(l)?\nAnswer: -2*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5176 a factor of 103892672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -13*q**5 - 6*q**3 - 8*q**2. Let k(y) = -40*y**5 - 17*y**3 - 23*y**2. Let c(r) = 17*f(r) - 6*k(r). Find the third derivative of c(l) wrt l.\nAnswer: 1140*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 + 16*t**3 - 12*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -l, -1522 = -5*v + 100*l - 96*l. Solve 0 = -v*i + 313*i - 21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**5\/5 + 20692*l**4\/5 + 95386*l**3 + 456236*l**2\/5 = 0.\nAnswer: -22, -1, 0, 10369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*s**3 + 14*s**3 - 8*s**3)*(4 - 3 + 5 + (-4 + 4 - 1)*(0 + 1 - 3))*(3 + 1 - 2)*(2 + 5 - 5) to j*s + y*s**2 + q*s**3 + o and give q.\nAnswer: 704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -181, -326, -471, -616, -761?\nAnswer: -906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -5. Let o(m) be the first derivative of 0*m**z - 1 + 0*m**3 + 2*m + 1\/5*m**5 + 0*m**2. Differentiate o(t) wrt t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 107175255 and 95?\nAnswer: 2036329845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 79884156, 159768311, 239652466, 319536621, 399420776, 479304931?\n\"Answer: 79884155*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/15? (a) 0.45 (b) 0 (c) -4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13878 > 124903\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007404 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -29 - ((-50)\/20 + (-1)\/(-2)). Let z = 11 - c. Suppose -3*b - z = -50. Solve b*g - 3*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -218\/21 + 32\/3. Let r = -11 - -9. What is the closest to 2\/5 in k, r, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6 - 0.28?\nAnswer: -2.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b - 1. Let j(d) = 21*d - 105. Give j(q) - 105*t(q).\nAnswer: 126*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11187*f**4 + 139*f**3 + 3855*f**2 + 128*f wrt f.\nAnswer: -268488*f + 834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 at least as big as -93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -21. What is the first derivative of -4*j + j - 2*j + 8 + y*j wrt j?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 times -45.02?\nAnswer: 5717.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 80cd + -ce?\nAnswer: 7eee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**3 - 13*o**2 + 3*o + 8. What is w(-6)?\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 65686481, 65686480, 65686479, 65686478, 65686477?\n\"Answer: -s + 65686482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 3.1. Let y = v + 0.2. Let h(i) = i**2 - 11*i - 2. Let b be h(11). Sort y, b, 3.\nAnswer: b, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14819475 and 8625.\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -356*z + 32. Let s(v) = 2135*v - 202. Give 6*s(b) + 38*t(b).\nAnswer: -718*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17108090 and 506?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 5:03 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -614 - 993 - 395 = -178*s + 1736 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**5\/10 + 41*a**3\/6 - 2*a**2 + 5. What is the first derivative of s(n) wrt n?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -8*u - 6. Suppose 13 = -5*d - 7. Let n be s(d). Let j = n + -18. What is the lowest common multiple of j and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 1367*v - 93851. Let b(u) = -2*u**2 - u + 2. Let j(d) = 3*b(d) + q(d). Factor j(l).\nAnswer: -5*(l + 137)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*q + 0*q - 15 = 0, 4*h - 5*q - 8 = 0. Calculate the smallest common multiple of 3 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 5 = 3*v. Suppose d - v = p - 2*p, -p - 18 = -4*d. Let k be (5 - 4)\/((-1)\/p). What is the third smallest value in k, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17, 24, 31?\n\"Answer: 7*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + -19 + 9 - (0 + 14)) + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f. Let h(t) be the second derivative of -7*t**4\/3 + 503*t. Calculate q(h(s)).\nAnswer: 168*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2336 divided by 4427?\nAnswer: 2336\/4427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*f**3 - 315*f**3 - 1 - 2*f**2 - 1 to i + n*f + x*f**3 + t*f**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = o - 177, -3*o = -2733*x + 2734*x + 11 - 34 - 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*q = -3*c + 9, 3*c + 2*q - 7 = 0. Suppose 48 = c*d - 3*s, -d + 18 = 2*d + 3*s. Let k = d + 17. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -0.007, 3\/5, -17.4?\nAnswer: -17.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 7:57 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -93, -47, -1, 45, 91?\n\"Answer: 46*l - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 6 + 0 + -9 - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 6:04 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 g when two letters picked without replacement from {p: 5, g: 9}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.19509 minutes in hours?\nAnswer: 3.1032515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 3*l + 4. Let s be p(5). Is (-116)\/s - (-4)\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 6. Let j(x) = -x**2 + 5*x - 2. Let q be j(4). Solve 2*k = -f + q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*a + 31*a = 126*a + 105*a - 259 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -15413*u + 6920431. Give h(449).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 28*s - 4. Let d be l(1). What are the prime factors of 135 + d\/(-3)*2\/(-4)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(630) + 2*sqrt(630)) - sqrt(630) - sqrt(630))\/(-2*sqrt(50)\/sqrt(5)) + -4.\nAnswer: -4 + 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -10*c**3 + 3*c**2 + 18*c - 2. Let x be k(-5). What is the greatest common divisor of 18 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 18 = 4*b, 2*z + 0 = 3*b - 8. Let c(w) = -5*w**2 + w - b - 8 + 25 + w**3. What is the hundreds digit of c(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.83918832 rounded to zero dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 119, 4271, 4, 19 in increasing order.\nAnswer: 4, 19, 119, 4271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a + 262 - 184 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40690 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/7))\/b*(b*b**(2\/9)*b)\/b*b*b*(b*b**(-1\/2))**18 assuming b is positive.\nAnswer: b**(788\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 131 = 23. What is the remainder when 138 is divided by v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 28 + 40. Let i(z) = -3*z**3 - z + 4. Let a be i(2). Let n = a + 37. Calculate the highest common factor of y and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 1162?\nAnswer: -1160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2 - 5*n + 3*n + 4*n - 3*n - 1 + 1. Let d(g) = -3*g + 4. Let s(i) = 3*i - 4. Let o(l) = -3*d(l) - 4*s(l). Let w be o(3). Determine h(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27495828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 6:49 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 556, -233, 0.5, -1\/13, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 5:12 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**2 + 4*n - 5. Let c be f(1). What is the biggest value in c, -0.2, 3\/143?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 5*h - 3*f, 4*h + 0*f = 3*f + 121. Solve 0 = -53*i + 46*i - h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 4*i - 1. Let u = 16 + -11. Let d be b(u). Suppose -d = -v - 0. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 105 + 307 = d, 3*d = -z + 606. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 326451.\nAnswer: -5\/326451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (8 + -7 + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/3159680 and 65\/2922704?\nAnswer: 116908160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8 - 23004545?\nAnswer: -23004552.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zqv when three letters picked without replacement from {v: 8, p: 9, z: 1, q: 1}?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h + 28. Let t(m) = 2*m + 15. Calculate 7*t(c) - 3*y(c).\nAnswer: -c + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a - 6*a + 0*a)*(3*a + 0 + 0 + (85 - 18 + 5)*(4*a + a + 0*a)) to q + k*a**2 + f*a and give k.\nAnswer: -1089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -42, 4, 33.\nAnswer: -42, -2, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 17, 27, 41?\n\"Answer: 2*v**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pc when two letters picked without replacement from {u: 3, p: 8, c: 6}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192721, 186922, 177257, 163726, 146329, 125066, 99937?\nAnswer: 70942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 8:56 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45290*l**6 - 7*l**3 + 405356*l**2 wrt l.\nAnswer: -5434800*l**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 4*c + 2, 5*c = 3*l - 6*l - 4. Let d(q) be the first derivative of -2\/21*q**3 + 0*q - 3 + 0*q**l. What is y in d(y) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 9*t + 12. Let i be f(-8). Suppose 6*a = -i*a + 30. Let s be (-118)\/(-30) - 3\/9. Are a and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 230 + 234 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1304*s + 150732 = 1540*s for s.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 500 = -5*z, -103*k = 2*z - 100*k - 197. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 x when two letters picked without replacement from ddddddxxddxddxddxx?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 4*l - 4*l + 12*l**5 + 3*l**5 - 2*l**5 + l**5 + (-l**3 - 4 + 4)*(3 - 3 - 2*l**2).\nAnswer: 16*l**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337795143 is divided by 117?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**2\/5 - 3892*n + 19458\/5 = 0.\nAnswer: 1, 9729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 318679, 637929, 957179?\n\"Answer: 319250*p - 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (60\/630)\/((-9)\/42)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5281 is divided by 1314?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.98 (b) 1\/5 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23933, 48193, 73211, 99365, 127033, 156593, 188423, 222901?\nAnswer: 260405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*u - 15*u**4 - 2*u**4 + 24*u - 213*u**2 - 53*u + 17*u**5 wrt u?\nAnswer: 1020*u**2 - 408*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 5, 383, -33\/29?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5466.97 + -5467. Which is the closest to 0.1? (a) 0 (b) i (c) 1\/2 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**3 - 147*v**2 - 66*v + 38. What is the tens digit of n(52)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5 - 3 + 0 - j**3 + 6*j**3 - j**3. Determine f(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.853821 microseconds in milliseconds?\nAnswer: 0.007853821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -5*h**2\/2 - 1. Let x be 8*(5\/(-2) + 16\/2). Let o(p) = 93 + p - 49 - x. What is o(j(q))?\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 89*x**2 + 3*x - 1592 with respect to x.\nAnswer: 178*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (6\/12)\/(14\/4)*(-320)\/(-80)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 5*z + 3*g, 5*z + 7 = 3*z + 3*g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25496 - -47285. What is the ten thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*u - 0*u, -j = 3*u + 8. Let t be ((-32)\/(-24))\/(j\/(-3)). Find the third derivative of a**3 + 4*a**2 - 6*a**t - 2*a**3 wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 12:22 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21, -5, -41, -93, -167, -269, -405, -581?\n\"Answer: -n**3 + n**2 - 22*n + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 + 2.21. Let i = 2.7 - a. What is the closest to 1 in 0, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(-18*c**2 - 4*c**2 + 6*c**2 + (c + 0*c - 2*c)*(c + c - c)).\nAnswer: 34*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7444198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.4746 and -0.2?\nAnswer: -0.89492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -290841?\nAnswer: -290841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/3, 0.3, -39512, -0.4, 0.5 in decreasing order.\nAnswer: 1, 0.5, 1\/3, 0.3, -0.4, -39512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 + ((-2)\/2 - 2) - 2. Let z(k) = 7*k - 4. Let t(w) = -57*w + 33. Give d*t(c) + 33*z(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d - 5. Let a(w) = -5*w - 6. Let u(i) = 5*a(i) - 6*v(i). Let h(p) = -2 + p + 2. Calculate u(h(q)).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*u - 2. Suppose 0 = -4*a - 20, 0*r + 3*a = r - 162. Let v be 2\/4 - r\/(-6). Calculate the highest common divisor of v and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4 - (-250)\/(-4). Let q = l - -195. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -1\/3, 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, n: 17}. Give prob of sequence nnx.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3911.401mg in nanograms?\nAnswer: 3911401000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1054)\/42 + (-6756)\/(-70938).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -748, -3800, -1 in increasing order.\nAnswer: -3800, -748, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 17*r**2 + 14*r - 23. Is w(-16) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*-2)\/sqrt(12) - sqrt(17) - (sqrt(2057) + (sqrt(2057) - (sqrt(2057) + 1)) + sqrt(2057)))**2.\nAnswer: -50*sqrt(17) + 10626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 5*g - 2. Let o be z(6). Let t(y) = y**3 + 8*y**2 - y - 5. Give t(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmrrrrmr. Give prob of sequence mm.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17837977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1191699034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7355347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69 + 18*o + 69)*(-92 + 36 - 35).\nAnswer: -1638*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (60\/(-70))\/((-110)\/(-70)). Which is bigger: y or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -db + -1c8?\nAnswer: -2b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 - 32. Let x be (18\/(-12))\/(2\/(-76)). Calculate the greatest common factor of k and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t - 223. Give f(-56).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1292*q**3 + 229 - 229.\nAnswer: -1292*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 30 = 322. Suppose -167*q + 165*q + l = 0. Calculate the remainder when q is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42046 and 1892070?\nAnswer: 1892070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 375938121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 less than 1057476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 9. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**3 - 51*x**3 - 196*x**3 + x + 39*x**3 + x to the form o*x**2 + n + p*x + t*x**3 and give t.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2968 + -2946. Calculate the lowest common multiple of 562 and o.\nAnswer: 6182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 12006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 38079 = 13*j. Suppose -5*z + 2*w + 31742 = -w, 0 = 2*z - 5*w - j. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 - 4*j + 2. Let z be (-16)\/6 - 2\/(-3). Let c = 1 - z. Suppose 10 = c*u + 2*u. Calculate f(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 392.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 11*r - 1309. Give y(79).\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w - 470 = 117*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1066 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/28)\/(272\/(-2856))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 5*q = 4*i - 611, 5*q - 4*i = 579. What is the remainder when q is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5710900 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 244.379 rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 24*v - 22 = -29*v, 3*v - 2 = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1916*m**4 + m**2 + 828*m.\nAnswer: -45984*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504 = -1016*s + 1010*s. What is the highest common divisor of 644 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000934009066 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n + 15. Let l be h(7). Let m be 2\/(-3) - 230\/15. Let b = l + m. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - l - 3. Let d(z) = -z**3 - z**2 + 1. Let a = -2 - -4. Let b be d(a). Let u = 15 + b. Calculate v(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(363))*-5 + 3)**2 + -5.\nAnswer: 220*sqrt(3) + 9074","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 6*k. Suppose 3*o - o + 2*p - 90 = k, 0 = -5*o + 5*p + 185. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 26*k + 483. Let s be j(-18). Solve s + 21 = 6*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 31)*((-42)\/9 + 4). Let i = c + 22. Solve i*o = -4 - 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 593, 1206, 1807, 2390, 2949, 3478?\nAnswer: 3971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -12037*d - 7414801. Give m(-616).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 3) to base 14.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + d + 2*d + 5*d as h*d + j and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1433.826 nanometers?\nAnswer: 0.0001433826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15b46 (base 12) in base 4?\nAnswer: -13210212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 13*h**2 + 19*h + 20. What is g(14)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5 - 2)*(-u + 2*u + u) - 10*u + 29*u - 8*u + (2*u - 3*u + 0*u)*(4 - 3 - 2) - 4*u + 4*u - u.\nAnswer: 25*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, w: 3, d: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0.3. Let o = -303\/518 + 1\/74. Which is the second smallest value? (a) x (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 1 + 2 - (sqrt(11) - (sqrt(11) + sqrt(33)\/sqrt(3) + 2)))**2.\nAnswer: 20*sqrt(11) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 2*i**2 + 5*i + 3. Let a be c(3). Let o = 34 - a. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/115460 and 73\/704167448.\nAnswer: 3520837240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*m + 1491, -5*m + 3*c + 497 = -4*m. Is m a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, z: 1, x: 1}. Give prob of picking 1 x, 1 z, and 1 e.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32350 and 58230?\nAnswer: 291150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2*2*88\/64*-2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -109277, -218518, -327759, -437000?\n\"Answer: -109241*c - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8229, 16459, 24689, 32919, 41149?\n\"Answer: 8230*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1464153471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -5\/7 (c) -2\/7 (d) -61 (e) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*i - 413 - 603 = 2277 - 206 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00654748 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/2)*c**(-2\/3))**(3\/11)*(c*c\/c**(2\/3))\/(c\/(c**2*c))*c**(-1\/2)\/(((c\/(c**(-2\/5)\/c)*c)\/c)\/c) assuming c is positive.\nAnswer: c**(184\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -s + 1. Suppose 12 = -s*k + 4*k. Solve 4*y - 5*f - k = 0, 3*y - 4*f = -0 + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -132.2 + 132. Sort j, -3, -4, -2 in increasing order.\nAnswer: -4, -3, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.808502 millilitres to litres.\nAnswer: 0.006808502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4076, -4095, -4140, -4223, -4356?\n\"Answer: -2*v**3 - v**2 - 2*v - 4071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 34132.48 millimeters?\nAnswer: 34.13248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.61263 take away -25?\nAnswer: 26.61263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p**2 - p + 24. Calculate o(5).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 67609*j - 1284572. Determine q(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 71002*u - 2. Suppose -4*t = 2 + 2, t - 23 = -2*b. Let v be (-2)\/(-3*8\/b). Let z be g(v). What is z rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 410762545?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, l: 2, z: 2, k: 1}. What is prob of sequence ikil?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 408913417022 - 8\nAnswer: 408913417014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (16\/(-20))\/((-4)\/10). Let s(l) = -7*l - 2*l**2 + 0 + 4*l**2 - c. What is the tens digit of s(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1446177 at most 1446178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.7 and -0.2.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2978.8, -1\/5 in decreasing order.\nAnswer: 2978.8, 3, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o. Let l(r) be the second derivative of r**3\/3 + 79*r**2\/2 - 6*r + 1. Determine f(l(j)).\nAnswer: 4*j + 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 1\/13, 6 in increasing order.\nAnswer: 1\/13, 3\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200 + -10011?\nAnswer: -3211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z + 3320675 = -53*z + 8734371. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -192.877?\nAnswer: 192.377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 + (-27 + 3)\/(-6) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1661607*t**4 - 3*t**2 - 711*t + 30.\nAnswer: 39878568*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 39305, 39471, 39903, 40733, 42093, 44115, 46931, 50673?\n\"Answer: 22*s**3 + s**2 + 9*s + 39273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -281 - 39*m + 281 + (0 - 3 + 0)*(1 + 2*m - 1).\nAnswer: -45*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1300.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 550 = -719*q + 365*q + 329*q, 5*o = 0 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13172)\/(-742) - 1006\/26659)\/((-2)\/7) - 5?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*j = 47*j + 49*j + 5787 + 3189 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223210283.\nAnswer: 5297, 42139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*b)*(0*b**2 + b**2 + 0*b**2) + (-7*b**3 - 6 + 6)*(1 - 2 - 1).\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2317913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100 + 105. Sort i, -3.6, 1 in descending order.\nAnswer: i, 1, -3.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*(-6 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30758980 and 2340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1\/3 (b) 4.5 (c) -1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4117 is divided by 1283?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 9*v**3 + 111\/4*v + 57\/2*v**2 - 3\/4*v**5 - 3\/2*v**4 = 0.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 1. Suppose s = 2*r + 5, -25*s + 21*s - 4 = 4*r. Let y(l) = -l + 1. Let c(a) = a**2 - a - 5. Let z(j) = -c(j) - 3*y(j). Determine s*z(m) - 2*w(m).\nAnswer: -m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47*m**4 + 2*m**3 + 814?\nAnswer: 188*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 12*h + 15. Let n be m(-9). Let x be 1*((7 - 3) + -13). Which is smaller: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2814, 2795, 2764, 2721, 2666, 2599, 2520?\nAnswer: 2429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 11:18 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/5)*j\/((j*j**(-1\/4))\/j*j))**(-3\/16)\/((j*j**3*j*j\/(j\/(j*j**2*j))*j)\/((j*(j\/j**(-2))\/j)\/j**(-1))) assuming j is positive.\nAnswer: j**(-1911\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: -479122 - 10\nAnswer: -479132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 6 = -2*i + 5*i, -3*p - 9 = -2*i for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15.999 and 594.\nAnswer: 9503.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 s, and 1 q when three letters picked without replacement from {w: 1, q: 1, s: 2, k: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 29. Which is the biggest value? (a) -3\/4 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*y + 532 = -8*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-20))\/((-28)\/80*4)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94206 is divided by 747.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5*u**3 - 2*u**2 + 5*u + 7. Let m(i) = -2*i**3 - i**2 + 2*i + 3. Let o(w) = -7*m(w) + 3*n(w). Give o(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 96076 - -67244. Let z = -38870101\/238 + d. What is the common denominator of 47\/22 and z?\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 10 = -8*b. Let d be (-7)\/(-3) + 2\/(-6). Let r(p) = 1. Let u(v) = -v**2 - 1. Let g(j) = b*r(j) + d*u(j). Let x(y) = -y**2. Give x(g(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 935518 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: Which is the nearest to 1? (a) 2\/3 (b) -3 (c) -1\/2 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -52*n - 28. Let b be r(-4). Let m = -176 + b. Put -1, m, -2, 5 in decreasing order.\nAnswer: 5, m, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**4\/12 - 5*l**3\/3 - 7*l**2 + 5*l - 29. Calculate b(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1 + 2 + sqrt(80) - -3*(sqrt(80) + 2))**2 + (-2 + sqrt(80)*-3)*-1)*-2.\nAnswer: -8178 - 1800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111 + -56. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 256 by 8.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52538\/21 - -2502. Are z and -5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - b**3 - 2*b)*(-9 - 5 + 2)*(-2 + 2 - 2).\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p - 2 + 63 - 3 - 58.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 - 6)*(1 - 1 + 1) - 2 + 1 + 3)*(3*g**4 + 4 - 4).\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(5\/(5\/(-2))). Solve 3*v = -4*n + 18 + 10, b = v - n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2523000 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358 = 341*v - 783 - 564. Solve -5*b - 9 = -z, -4*z = -6*z - v*b + 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 11 (b) 0.4 (c) 17\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28 times 7158?\nAnswer: -2004.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -584, -572, -546, -500, -428, -324?\n\"Answer: u**3 + u**2 + 2*u - 588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -5d4438?\nAnswer: 5d4435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(19)*-1 + 2 + 1 + sqrt(19))*6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -b - 15, -2*b - 9 = 3*z - 34 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 4*g. Let a(u) = u**2 + u - 4. What is the remainder when 32 - (-2 - (-3 - g)) is divided by a(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113 + -1081 - (-2 - 35)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -45, -97, -163, -249, -361, -505, -687?\n\"Answer: -w**3 - w**2 - 42*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 10*z + 4*z**2 - 3*z**2 + 3829*z**3 + 2471*z**3. Suppose -5*v = 5, 4*q - 12 = -v - 53. Let x be l(q). What is x rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 696, 678, 660, 642?\nAnswer: 624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 5.67\nAnswer: 5.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 475218156 - -0.029627.\nAnswer: 475218156.029627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46793956 + 222.\nAnswer: -46793734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dedepddeve. Give prob of picking 2 e and 1 v.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223 a factor of 50719135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8050, 7673, 6662, 4705, 1490, -3295?\n\"Answer: -52*o**3 - 5*o**2 + 2*o + 8105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1650*s + 8 + 4 + 0.\nAnswer: 1650*s + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 178*s**2 + s**3 - 169*s + 304*s**2 - 182*s**2 wrt s.\nAnswer: 6*s + 600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 5*s**2 - 5*s. Let k be z(-5). Let r be 58\/1*(k\/10 + -2). Calculate the highest common factor of 261 and r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 15 + 31 - (1 + -3 + -3 + -2)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -404880 - -673069. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i + 27 = 213 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04008 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 3*m + 6. Give y(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 559487 and 2176.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 116*f - 118*f + 14 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223202121 - 1?\nAnswer: -223202122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 215670078 - 0?\nAnswer: 215670078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -935985872*r**2*u - 3*r**2 + 2*r - 4899076 wrt u?\nAnswer: -935985872*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*i)*(-2*i**4 - i**4 + 2*i**4) + 12*i**5 + 0*i**5 - 77*i**5 + (-1 + 1 - i)*(76*i**4 + 15*i**4 - 20*i**4).\nAnswer: -138*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 - -59. Let k be (9*110\/(-105))\/(s\/(-14)). Calculate the greatest common divisor of k and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 364202 and 114?\nAnswer: 20759514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1562844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41535 - -41489.961. Let l = j + 45. Round l to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, g: 1, o: 4, f: 2}. Give prob of sequence oaf.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/19408 and -17\/744.\nAnswer: 1804944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from vzzvzvszszzvzzv?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -1\/4*c**4 + 3 + 0*c - 5\/2*c**2 + 0*c**3. What is the second derivative of f(s) wrt s?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(1\/5))\/t)\/t**(3\/8))\/(t**(-1\/2)*t)**(12\/13) assuming t is positive.\nAnswer: t**(-539\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41888d (base 14) to base 4.\nAnswer: 20130113231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12648, 12567, 12496, 12441, 12408, 12403?\n\"Answer: w**3 - w**2 - 85*w + 12733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i + 690. Let c be (-2)\/(-2)*(4 + -13). Is (i\/c)\/((-4)\/6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2452*j - 7369. Give f(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 622 = -3*a, -4*c + 2*a + 2*a + 472 = 0. Suppose 0 = 2*g - 0*g - 12. List the prime factors of (-2)\/g + c\/6.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82 (base 9) to base 6.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**8\/56 + o**6\/30 + 53*o**5\/60 - 6*o**2 + 2. Find the third derivative of y(f) wrt f.\nAnswer: -360*f**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116949132 by -3.\nAnswer: 38983044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r + 31. Is k(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2242.\nAnswer: 2, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7524183.6 nanoseconds?\nAnswer: 0.000002090051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 13 + 5 = 0. Suppose 0 = 5*c + y - 95, 113 = 4*c + n*y + 26. Suppose c + 19 = 3*i - 2*r, 16 = 4*i + 4*r. Solve -5*b - i = 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189 - 2*t - 158 - 456.\nAnswer: -2*t - 425","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (0 - 1) - (2 - 3). Suppose -b*r + 35 = -520. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*n + 5*n - 10*n)*(46 - 26 - 36) as d*n + h and give d.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -4, 8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k**3 + 2*k**3 + 0*k**3.\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3027, 9523, 16019, 22515, 29011?\nAnswer: 35507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.3, -185, 1, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162107 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j - 4*j - 13 - 3*j. Suppose 90 = 70*m - 151*m + 72*m. Calculate p(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 173163896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53733?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 + 14 - 31 - 24)*(-4 - 5 - 9)*(-2*x + 0*x + x) as p*x + n and give p.\nAnswer: -1206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 562 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92389?\nAnswer: 11, 37, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3149 - 64710?\nAnswer: -67859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1183 and 30\/67.\nAnswer: 79261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 117414, 235961, 354506, 473049, 591590, 710129, 828666?\n\"Answer: -u**2 + 118550*u - 1135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 355113330 (base 6) to base 12.\nAnswer: 22a2846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0777 - -5.1077. What is g rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 9, 118, 1 in descending order.\nAnswer: 118, 9, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1627919?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*b + 5732, 2*b + 10071 = 4*d - 1381. Let y = d + -17267\/6. Calculate the common denominator of -13\/30 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w + 15*w = -72 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1404104 - 54104. What is n rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-25)\/10 - -2 - (-12693)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 - 3*c. Let g be 4*(-7)\/42 - (-140)\/3. Suppose h - g = -30. Let r(y) = -1 + h*y + 4 - y**3 - 4 + 0*y + 11*y**2. Give 2*r(m) + 11*s(m).\nAnswer: -2*m**3 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**7\/15 - k**3 + 14*k**2. What is the first derivative of u(v) wrt v?\nAnswer: 56*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 2. Let s = 232\/3 - 78. Let l = 14.39 + -14.69. What is the closest to s in l, -3, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*q + 11. Let n be -1 + 1 - (5 + q). Suppose 2*a = -n + 15. Solve -a = 2*f + 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -296622141*c - 287536746.\nAnswer: -296622141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -39\/2*p**6 - 8*p + 0*p**5 + 0*p**3 + 0*p**4 - 5*p**2 - 169. What is the second derivative of a(z) wrt z?\nAnswer: -2340*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*j**4 - 462*j**2 + 475*j**2 - j**3 - 3 in the form c*j + i*j**4 + d*j**3 + n + l*j**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**7\/105 - t**6\/60 - 195*t**3 + 892*t**2. What is the first derivative of y(b) wrt b?\nAnswer: -8*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnhvqjvhnqnhjvhvhnqh. Give prob of sequence jhv.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 49175, 98366, 147581, 196832, 246131, 295490?\n\"Answer: 2*d**3 + 49177*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241819 is divided by 1765.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4792\/(-48)*1 + (-2)\/3. Let s = h - -101. Sort -2, s, 130 in descending order.\nAnswer: 130, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7381979*g**4 - 768147*g - 1 wrt g.\nAnswer: 88583748*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 85\/(-51)*6\/(-5). What is the common denominator of (w\/(-16))\/((-5)\/444) and -32\/91?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 46\/598 + (-33188)\/(-13). What is the greatest common divisor of 111 and y?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -373, -472, -639, -874, -1177, -1548?\n\"Answer: -34*x**2 + 3*x - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 9 = -4*s + 15, d - s = 0. Suppose 0 = -2*f + 5*k + 29, -2*f - 5*k - 29 + 8 = 0. Solve y = d*z - f*z - 11, -5*z + 4*y = -32 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*g + 161 - 133 + 77 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00681545088 rounded to 7 decimal places?\nAnswer: 0.0068155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16654 - 16640. Solve -190*h = 2*t - 188*h + c, 4*t + h = -16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1274182, 1274196, 1274210, 1274224, 1274238, 1274252?\n\"Answer: 14*h + 1274168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 - -37. Let s = q - -26. Suppose -2*p - 195 = -s*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -3\/7 (b) -2\/3 (c) 53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 2*y + 5. Let j be 5 - 5 - (7 + (1 - 3)). What is s(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/41, -4, -39, -0.4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 57 - 19)*(-2*r**3 + 2 - 2 + 2*r - 2*r**3 - 2*r + (2*r**2 - 4*r + 4*r)*(-3*r + r + 4*r) + 3*r**3 - 3*r**3 + 2*r**3).\nAnswer: -104*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/5 of a century?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537511?\nAnswer: 13, 173, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + a)*(12680 - 706*a**3 - 12680).\nAnswer: -706*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**4\/18 + 2*v**3\/9 - 64*v**2\/9 + 40*v\/3 + 363. Factor k(g).\nAnswer: 2*(g - 6)*(g - 1)*(g + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or -7156?\nAnswer: -7156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**4 + 0*n**4 + 0*n**4)*(-109 + 278 + 27)*(6 - 4 - 3)*(1 - 2 + 3).\nAnswer: -784*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -58372 * -125\nAnswer: 7296500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 9*z**2 - 10*z + 5. Let i be w(7). Let s be 3 + i\/(-21) - 1. Which is the third smallest value? (a) -0.1 (b) 0.4 (c) s (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*a**2*p**2 + 21*a**2 + 3*p + 5 with respect to p.\nAnswer: 28*a**2*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 2\/3, 2\/17, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 235736981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.5 + -2. Let m = -84 + 84.57. Let g = d - m. Round g to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29.4 in 1, -2\/7, 2, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 764060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45134670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 255 - 142. Let h = g - 42. Let f(x) = 73*x**2 + 0*x - h*x**2 + 0*x. Let m(k) = k. Give f(m(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -239*l**5\/15 - 15*l**4\/8 - l**3\/2 - 2*l**2 + 81. Find the second derivative of v(x) wrt x.\nAnswer: -1912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/3))**(2\/153) assuming z is positive.\nAnswer: z**(8\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**5\/2 + 112278*b**4 + 16628253*b**3\/2 + 199246125*b**2 + 1466474016*b - 1674146544 = 0. What is b?\nAnswer: -28, -19, 1, 74926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -682682 + 2.50849?\nAnswer: -682679.49151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -454 - -455. Let l(a) = -2*a**3 + 2*a**2 - 2*a**3 + a**3. Let r(d) = -d**2. Calculate m*l(y) + 2*r(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -325*m**6 - 832*m**2?\nAnswer: -39000*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -264 or -268?\nAnswer: -268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 146502280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.454 rounded to 0 decimal places?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1974 minus 262815151?\nAnswer: -262815150.8026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -14. What is the common denominator of -40\/9 and (-178)\/x*1 - -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66\/333599 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 7*k - 916. Let c = 1141\/5 - k. Let g = -3 - -4. What is the smallest value in c, 0.2, 2\/9, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46092236087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 2*n + 12 = -7*f, -3*f = -5*n - 30 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.1, 1\/4, 5156, 3\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 40 = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 6:31 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 15, -4*c + 5*b + 6 + 1 = 0. Let n(u) = -11*u**2 + 47019*u**2 - 9 - 4*u + 34741*u**2 + 5. Let a be n(c). Round a to the nearest ten thousand.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen halves of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(((-76)\/380)\/((-3)\/40)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3952 * -984.8.\nAnswer: -3891929.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = f. Suppose -204 = -3*g - f*g. Let p = -14 + 31. Calculate the greatest common divisor of g and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h - 2. Let j be i(2). Let t(o) = 2*o - j - 5*o + 6. Determine t(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9152, -18321, -27490, -36659?\n\"Answer: -9169*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 128\/2831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 15769 and 15327 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-428922)\/4914 + (25 - 24 - 5\/7).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 12 = 0, 0 = -7*w + 2*w - 5*q + 1370. Calculate the remainder when w is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3572820?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1320222130 - 1323?\nAnswer: 1320220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-11538475)\/(-6))\/65 + 1\/6.\nAnswer: 2, 3, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otjooto. What is prob of sequence ojto?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllrilzllzrl. Give prob of sequence lrl.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 611\/4 - (-4)\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 6*q**2 + 4*q + 26. Let j be n(7). Let f = 1 - -1. Solve f*s = j*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2*sqrt(17) + -3)**2 + 5 - (3 + sqrt(153) + -1)) + -4.\nAnswer: 9*sqrt(17) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*p**2 + 3 + 5*p**2 - 782*p + 1573*p - 794*p to m + b*p**2 + y*p and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o**(1\/18))\/o)*o*o\/(o*o**(-15)\/o*o)*(o**(-6)\/o)\/o*o*(o**(-8\/5)\/o)\/o)**(18\/5) assuming o is positive.\nAnswer: o**(571\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 46417.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**5\/5 - 14*o**4\/3 - 275*o**3\/6 + 208*o. What is the second derivative of t(r) wrt r?\nAnswer: 24*r - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 0.5 (c) -2\/5 (d) 1.3 (e) -4\/5 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 6:01 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -r + 11, 3*t = r - 2*r + 3. Suppose -3*d + 0 = -r. Suppose 0 = 3*v - d*v + 4, 19 = 5*f + 4*v. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/5)*c**(2\/11)*c)**(-15)*((c*c\/(c\/((c**(-2\/9)\/c)\/c))*c*c*c)**(-31))**(-5\/3) assuming c is positive.\nAnswer: c**(18451\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -37, 0.84.\nAnswer: -37, 0.84, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + 7. Let c be -3*(-3 - (-1365)\/(-27)) - 42\/(-126). Calculate the greatest common factor of f and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4)\/l)\/l*l*l\/(l*l\/(l\/l**(-1)*l))*(l**(1\/2))**12 assuming l is positive.\nAnswer: l**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324152 (base 7) to base 15.\nAnswer: 11bdb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1611*f**2 + 2046.\nAnswer: 3222*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 10*y - 23. Let x be z(-5). Solve -3*n = -3*r + 21, -x*n = -5*r + 29 - 9 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**34\/r**(3\/2) assuming r is positive.\nAnswer: r**(65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -a + 61, -v - 4*v = 4*a - 253. Let c = a + -40. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 913513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 39091956 to the power of 1\/2, to the nearest integer?\nAnswer: 6252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/4)\/(15\/(-20)). Find the third derivative of -1 + 3*l**3 + 3*l**2 - 2 + w wrt l.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204888620?\nAnswer: 2, 5, 2549, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 21153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - f**2 + 3*f**2)*(-3*f**2 + 2*f**2 + 3*f**2) - 31*f + 2*f**4 + 31*f.\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*w + 133 = 16, -5*w = f + 48. Let c be 16\/(1\/4 - 0). Let u = c + f. Put u, -1\/3, 0.08, 0.1 in decreasing order.\nAnswer: u, 0.1, 0.08, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*i**2*q**4 + i**2*q**3 + 6863*i**2*q**2 + 4*q**4 wrt q.\nAnswer: -192*i**2*q + 6*i**2 + 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-24)*0\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34142996?\nAnswer: 2, 41, 208189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -139\/3 - -46. Which is the nearest to t? (a) -1 (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**3 - 2*x**2 + x - 2. Let o be 451\/(-55) + 10 - 2\/(-10). What is v(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.5 - -7.5. Which is the smallest value? (a) -2.9 (b) q (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence te when two letters picked without replacement from {l: 3, y: 1, t: 1, f: 2, e: 3, i: 2}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxjxx. Give prob of picking 1 j and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/(-21))\/(1\/174). Let y be -4 + 8 - v\/15. Which is the second smallest value? (a) -1\/2 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*z - 8 = 114*z. Put z, 5, 17 in decreasing order.\nAnswer: 17, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 - -30.2. Let c = 30 - v. What is the third biggest value in -1, 4\/7, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 1:12 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -173.67 and 82726.56.\nAnswer: 82552.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.9 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 - 171. Let h = -57 - j. Suppose -h*c + 184 = -230. List the prime factors of c.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*a - 16. Suppose 5*x + 5*f + 1105 = 0, 119 + 114 = -x + 3*f. Let r be x\/(-12)*(1 + 2). Calculate the highest common divisor of a and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 10 = -3*v - 1, -4*b + 9 = -v. Suppose 2*o + v*o - 27 = 0. Suppose 7*w - 21 = 7. Solve -3*h + 5 = -w*q - o, 5 = 5*h - 5*q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1595, 390, -26 in decreasing order.\nAnswer: 1595, 390, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 + 47. Let z(r) = -170*r**3 - 2*r**2 - 2*r - 1. Let w be z(-1). Let x = w - 119. What is the remainder when x is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 14729982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 137*n. Let y(x) = 4*x**2. Calculate y(t(i)).\nAnswer: 75076*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 554941609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 216 - 147. Let p = b + -67. Suppose -p*i = -5*k + 13 + 8, -2*i = -4*k + 16. Solve 0 = 2*a - 2*t, -k*a = 4*t - 1 + 19 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2516 - -10398. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*v**3\/2 + 2841600*v**2 - 3788806*v + 1262936.\nAnswer: (v + 631468)*(3*v - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.96 + 6. Let i = -2.96 - g. Let s = 0 - -1. Sort i, 0, s.\nAnswer: i, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m - 2. Let i be u(5). Calculate the least common multiple of 7 and 1\/(4\/i) + 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**8\/504 - f**7\/42 + f**6\/15 + 4*f**5\/45 + f**2 + 53*f. Determine h, given that c(h) = 0.\nAnswer: -1\/2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.9 - -0.1. Let t = -5 + 5.1. Is r less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*t + 20 = 2*t, 22 = p - 5*t. Let d(r) = -r**2 + 14*r - 25. Let m be d(p). What are the prime factors of 132 + ((-4)\/m - 1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*r**5 + r**4 - 17*r + 2*r**2 - 16*r**5 + 5*r**5 wrt r.\nAnswer: 60*r**2 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2625354 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/28 and -49\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/336 and 8\/1199905.\nAnswer: 57595440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5 - 1 = 0. Suppose -5*g = x + x - 48, -4*g = -d*x + 26. Calculate the greatest common divisor of x and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndlknnntlntllvdkn. Give prob of picking 1 l and 1 d.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 5:40 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z = -23*z + 10903. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5 = 12. Suppose -11*d + x*d - 8 = 0. What is the smallest value in 4, d, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81951 divided by 121?\nAnswer: 81951\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - 587950?\nAnswer: -587958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 - -0.2. Suppose 5*q = 20, 5*q = -0*w - 4*w + 28. Let h = -5 + w. What is the closest to 0.1 in d, h, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r**2 - 24*r**2 - 14*r**2 - 3 + 4.\nAnswer: -52*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 - -5 - (3045 - 3192).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3479 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -29*a - 1. Let o be h(-3). Suppose -4*n - 6 = -o. Suppose -n = -0*z - 4*z, f - 43 = -5*z. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**7\/5040 - m**5\/60 - m**2. Let u(h) be the third derivative of t(h). Let a(i) = 2*i**2. What is a(u(s))?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31851924*q - 27168077.\nAnswer: -31851924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p, -5*q + 6*p = 3*p + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*r = t + 30, 5*t + 3*r - 122 = 0. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*k - 130, 196 - 581 = -5*k - 2*j. Let l = k - 68. What is the highest common divisor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -66*i**3 - 16278*i**2 - 111879 wrt i.\nAnswer: -198*i**2 - 32556*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -8*m - m + 4*m. Let i(c) = 8*c**2. Give f(i(z)).\nAnswer: -40*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + -6. Let w = b - 0. Let r = w + 12. Put r, -3, -2 in decreasing order.\nAnswer: -2, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000095631 rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*(sqrt(2) + 1*sqrt(2))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(-1 + 0) + 109. Suppose -87 = -4*c + l. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 t when three letters picked without replacement from {t: 7, m: 1, b: 7, d: 1, l: 3, g: 1}?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6027 and 735?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40732*a**2*t**4 - 24*a**2*t**3 - 826*a**2*t**2 + a**2 + 31*t**2 - 1 wrt t?\nAnswer: 977568*a**2*t - 144*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182637, 182736, 182901, 183132?\nAnswer: 183429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243416 is divided by 1475.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69255*j - 69186*j = 2829 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-9)*(0 - (-558)\/(-4)). Let y = -257 + 597. Let g = x + y. What is the highest common factor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7529 - -276. Let r = q + 10272. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2775556\/3 - 3332\/3*o - 1\/3*o**2.\nAnswer: -(o + 1666)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -18. Let a be ((-24)\/z)\/((-1)\/(-3)). Solve a = -c + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 3. Let r be u(-5). Suppose 25 = 3*z - s, -4*z + r*z + s - 31 = 0. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -269*s**9\/28 - s**5\/60 - 925*s**4\/24 - s**2 - 619*s. Find the third derivative of l(y) wrt y.\nAnswer: -581040*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6 - 2)*(3*t**2 - t**2 - 6*t**2).\nAnswer: 40*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-4)\/(32\/220). Suppose -4*y + 5*m - m + 44 = 0, 5*y - 55 = -2*m. Calculate the highest common divisor of c and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130976 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/6*(-2 - -2). Suppose h = -b - 0*b - p + 5, 5*p - 1 = b. Calculate the smallest common multiple of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 + 76. Let j = k - 15. Solve 3*s = s + j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 510, 511, 512, 513, 514?\nAnswer: 515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 46*(2 - -1)\/3. Suppose 4*s = 5*s - a. List the prime factors of s.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*q**2 + 2*q**3 + 13*q**2 - 360*q + 13*q**2 + 336*q as u + h*q + k*q**2 + s*q**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 2:30 PM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 p when two letters picked without replacement from pcfpcxcccfxc.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 934 = 375*d - 190*d, 3*t = 2*d + 19 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 110055 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*j - 3*i - 785, 5*j - i - 3925 = 0. Let a(t) = -3*t**2 + j*t - 11 - 785*t. Let g(w) = 2*w**2. What is a(g(b))?\nAnswer: -12*b**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - 0. Let p = -7 - j. Let 2*f + p*f - f**2 - 4*f = 0. What is f?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -7 + 0)\/((-4)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2350 and -0.10387?\nAnswer: 2349.89613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)\/(r*r*r\/(r**(1\/8)*r)*r))**16*((r**(-5)*r*r)\/(r\/r**(-2\/5)))\/((r**(-2\/5)\/r)\/(r*r**(1\/7))) assuming r is positive.\nAnswer: r**(-1007\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 172.095 to zero dps.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/7))**(-14\/9))**(11\/3)*((a**(1\/4))**(2\/35))**(-32) assuming a is positive.\nAnswer: a**(-1972\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10 + 301\/35 - (59 + -80).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/p**(-2\/23))\/p*p**8*p*(p*(p\/p**9)\/p)\/(p*p**(-9)))\/((p*p**(-2\/9)\/p)**(1\/25)*p*p*p*p**(-8)*p\/(p*p**0\/p)) assuming p is positive.\nAnswer: p**(72946\/5175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 608076.7l to millilitres.\nAnswer: 608076700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 5 - 10*f + 1 in the form n + o*f and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-231)\/(-819)*13)\/(1\/(-3))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16364610 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(275) + -1)*6*-5)**2.\nAnswer: -81000*sqrt(11) + 2235600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g - 3*g + 0 + 14*g + 0.\nAnswer: 23*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.3 + 31043194096.\nAnswer: 31043194085.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8701341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/15*-33*(-360)\/(-432)\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -111, -305, -551, -837, -1151, -1481, -1815?\n\"Answer: 2*s**3 - 38*s**2 - 94*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/69)\/(81\/(-1863)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a factor of 64655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 377\/3 or -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 3\/2, 24, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -v**5\/120 + v**4\/6 - 7*v**3\/12 + 37*v**2 - 3*v + 1. Let r(n) be the first derivative of u(n). Factor r(o).\nAnswer: -(o - 7)*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303445461 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*p - 9 + 30, x + 29 = 5*p. Solve 0 = p*f - 18 - 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 + q**2 + q + 1. Let b be n(2). Let f = 72 + b. Let i = f + -67. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 2*i**2 + i + 2. Let w(t) = 2*t**3 - 3*t**2 - 3*t. Let m(u) = q(u) + w(u). Calculate m(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5951*z**5 - 15*z + 279 wrt z.\nAnswer: 119020*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -0.5, 55 in increasing order.\nAnswer: -3, -0.5, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 6*(-10)\/360 - 738875\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 53 = n + 28, 13*n - 3*l - 15 = 6*n + 4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109*k**3*z + 1045*k**2*z - 5*k*z + k - 11311 wrt k?\nAnswer: 654*k*z + 2090*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -307 - -329.7. Let s = -22.7226 + i. What is s rounded to three dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 11:28 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -23*p - 15. Let t be r(3). Let i be 176\/t - (-6 + (8 - 4)). Which is the closest to -0.1? (a) i (b) -1\/3 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -183980.29\nAnswer: -551940.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3276142*d. Let m(t) = 2*t**2. Give m(i(n)).\nAnswer: 21466212808328*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 17, -4, -5, 4644 in descending order.\nAnswer: 4644, 17, 2, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - -28 - 7) + -8 + -3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2\/4 - 4535*b\/2 + 4536 = 0. What is b?\nAnswer: -9072, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6112 + -6110. Sort s, 1, 31, -1, -4.\nAnswer: -4, -1, 1, s, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170529929?\nAnswer: 37, 4608917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -234.782 * -470\nAnswer: 110347.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -390, -906, -1628, -2556, -3690?\nAnswer: -5030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 - 6*f - 5. Let s(b) = 33*b**3 - 26 - 5*b - 30*b**3 - 2*b**3 + 9*b**2 - 19*b. Let q be s(-11). Determine u(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2530719?\nAnswer: 3, 281191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmzc when four letters picked without replacement from {w: 4, z: 1, g: 4, c: 1, m: 1}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 1163*v - 309339. Give s(266).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(2\/9)*f*f*f)\/f*f)\/(f*f*f\/f**5*f)*f**(-5\/3)*f**7)\/((((f\/f**(-6))\/f)\/(f\/f**(-2)))\/(f**(2\/7))**(2\/19)) assuming f is positive.\nAnswer: f**(9080\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 7*z**2 + 4*z - 7. Calculate r(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c**2 + 170*c + 450 = 0.\nAnswer: -45\/8, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1403 + -34d7?\nAnswer: -48da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 679*t + 17596 - 2052 = -6184 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/12 + 579\/1278. Is 0 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7875242.\nAnswer: 2, 3937621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r - 17. Determine n(11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microsecond in nanoseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s**4 + 0*s**4 + 1 + s**4 - 2*s - 6*s**4 as w + y*s**2 + g*s + m*s**4 + f*s**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 11*j**2 + 10*j + 3. Let k be g(10). Suppose 0 = -2*b - k*b + 15. Solve -b*y + 6 - 4 = -x, -y - 6 = 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/45)\/((-1)\/((-18)\/3))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -26495 * 0.32\nAnswer: -8478.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 931793 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*x - 8*x + x + 4*x.\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3419 and 0.05.\nAnswer: -0.2919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 80, 78, 76, 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4c7 - 20?\nAnswer: -4e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n. Let y(l) = -2*l. Let w(t) = 5*t. Let v(a) = -6*w(a) - 14*y(a). Give v(s(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -216 - -414. Suppose 3*c - r = k + 38, 0 = -2*c + 2*k + 164. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (13 - 11) - 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -550*p + 544*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*h = 4*h - 61, -3*g + 4*h + 43 = 0. Suppose g + 23 = -3*u. What is the remainder when 822\/u*1\/(2\/(-4)) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 10 - 40 + 4 - 22*z + 4.\nAnswer: -22*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/3 + (-6)\/81 + 8660340\/(-789750).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 126*k**2 + 1\/1260*k**6 + 0*k**3 + 1\/252*k**4 + 1\/315*k**5 + 0 + 0*k. Factor x(g).\nAnswer: 2*g*(g + 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 6210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 12, 4*n - 4*t - 88 = n. Calculate the greatest common factor of 216 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4828421*g*r**3 - 12345263*g*r**2 wrt r?\nAnswer: 28970526*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + k. Let c be t(-1). Let r be (5\/(-3) - -2)*c. Suppose -3*n - 3 = r, 91 + 54 = 3*d - n. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -390 - 66321.3.\nAnswer: -66711.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + -6. Let g be (2\/3)\/((-2)\/a). Let h = -3\/2 + 2. What is the closest to h in -2\/5, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 4*d + 5*d)*(8 - 35 - 21)*(-3 + 1 - 6).\nAnswer: 384*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = -2*g + 130. Calculate the remainder when (-2 + 5)*76\/6 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p = -26*p - 18. Let z be (-28)\/6*p\/(-21). Put 2, 0.2, z in descending order.\nAnswer: z, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1629\/10 + -163. Let b = 14 + -10. Let n be 10*(2\/(-1))\/4. What is the nearest to l in -0.1, b, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, z: 2, j: 1, r: 3, e: 3}. Give prob of picking 1 j and 1 q.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(468)*1 - sqrt(468).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 226, 458, 698, 946?\n\"Answer: 4*q**2 + 220*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121 (base 3) in base 7?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285.4932 litres to millilitres.\nAnswer: 285493.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 3:47 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**6*q*q**(3\/5))**(-30)\/((q**(1\/2))**(-1\/6)\/(q*q*q\/(q*q\/(q**3*q))*q*q*q*q\/q**(-5))) assuming q is positive.\nAnswer: q**(-2567\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 13. Suppose y = -2*b + 1 + t, b + 15 = y. What is the remainder when y is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 0*o - 144. Suppose -3*n + 12 + o = 0. Let g = -38 + 69. What is the remainder when g is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14870249*y**3 - 2*y**2 - 55118710 wrt y.\nAnswer: 44610747*y**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 2:50 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 d, and 1 l when four letters picked without replacement from llssbds?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*o**2 - 23*o**2 + 5*o**2 + 6*o**2 - 109*o**5 - 11218*o wrt o.\nAnswer: -2180*o**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2652.0891 nanoseconds?\nAnswer: 0.000000044201485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + (sqrt(187) + 1*sqrt(187) - sqrt(187) - sqrt(187)))\/sqrt(11) + (sqrt(17) - sqrt(34)\/sqrt(2)) + 5 - (sqrt(272) + 0)*-1.\nAnswer: 5 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52\/7 + 281\/35. Let d be -27*(-4)\/176*-1. Let k = d + -3\/22. Which is the nearest to -2? (a) -5 (b) m (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 2:54 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/((-153)\/(-6)))\/6?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011482 rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1061 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -137*m + 821. Calculate n(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17824319?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7*t - 12 - 6*t + 16*t. Let l be g(5). Suppose 0 = -l*w - 14 + 5. Do w and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007933493 to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d**2 - 4*d**2 + 4*d**2 - 7*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - u = 7, -3*k - 22 = -6*k - 2*u. Calculate the highest common divisor of 12 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 4 = 6*v - 2*q, 0 = 3*v - 2*q + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 2159?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a tonne in kilograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4510.206876995 + -1.9.\nAnswer: 4508.306876995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 472558 + -472560. Suppose -2*y + 15 = y. Put 3, g, y, 4 in decreasing order.\nAnswer: y, 4, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2591 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l**2 - 28*l - 7. Let w(b) = 13*b**2 + 83*b + 20. Let y(s) = -8*o(s) - 3*w(s). Let a be y(25). Sort -7, 4, a in decreasing order.\nAnswer: 4, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 6*g**2 - 2*g**2 + g**2 + g**2. Let z(f) = 7*f**2 + 4*f**2 + 11*f**2 - 27*f**2. What is z(d(y))?\nAnswer: -245*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20800 - -29981. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 20600565 and 20600597 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehaaakmyaeeyyy. Give prob of sequence mek.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3\/4*(-11560)\/5202\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**7\/144 + j**6\/20 + 71*j**5\/60 - 16*j**2 + 1. Let q(k) be the third derivative of c(k). Differentiate q(l) wrt l.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -561, -546, -531?\n\"Answer: 15*a - 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 291072 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -2, -353, 42, -1.\nAnswer: -353, -2, -1, 1, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 6:10 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 2*g = 0, 3*m = -0*m + 5*g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**2 - 4*v + 1. Let s(b) = -11*b**2 + 12*b - 3. Give -8*c(i) - 3*s(i).\nAnswer: i**2 - 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -6 - (2 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 15. Let b = -8.7 - n. What is the second smallest value in b, 4, -4\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c**3\/9 + 260*c**2\/9 - 2702*c\/9 - 10340\/3 = 0 for c.\nAnswer: -141\/11, -10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is -37114 divided by -1687?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 - 8*2\/12*3. Suppose 24*t = 23*t + w. Calculate the greatest common divisor of t and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -32*u**2 + 7*u - 10. Let g(j) = -19*j**2 + 3*j - 4. Give -3*c(n) + 5*g(n).\nAnswer: n**2 - 6*n + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112304?\nAnswer: 2, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*t - 518 - 112, -f = -t + 642. Let h = -437 - f. What is the highest common divisor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -150344 + -62223?\nAnswer: -242600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 36, 71, 122, 195, 296, 431, 606?\n\"Answer: v**3 - v**2 + 21*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence irri when four letters picked without replacement from rrrriirrrrrriririrrr.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2533 - -6?\nAnswer: 2541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 5. Let r(j) = -15 - w - j + j**2 - 3*j + 6*j. Let q be r(-6). Solve -2*o + q + 6 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 + 163*o + 1446. Calculate j(90).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5808))**2 + -2*sqrt(300) + (sqrt(81)\/sqrt(9))\/sqrt(3) + (sqrt(24) - sqrt(240)\/sqrt(10))\/sqrt(8).\nAnswer: -19*sqrt(3) + 5808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.79 + 15.69. Which is the closest to 0? (a) -0.2 (b) 17 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 10 = 2*f, 3*f - 2 = -3*w + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10, -1 in decreasing order.\nAnswer: 10, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -p + 26, -2*g + 4*p - 62 = -7*g. Let a be (0 + g)\/(5 + -4). Suppose a = 2*u - 20. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -27*h**3 + h**2 + 2*h - 9. Let b be o(2). Is -216 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 - 3) + 54 + -60.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 6300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w = 0. Suppose w = t + 3*t. Suppose 3*q + 3*j = 21 + 27, t = -4*q + 3*j + 71. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 + 7 + -7 + 9 + 2045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 24\/7*o - 3*o**2 - 3\/7*o**3 + 0 = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*c = -0*q + 4775, -3*c = -4*q + 3823. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/20*-23*-5. Calculate the greatest common factor of s and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -4*l - 5*v, -4*l + 72 = -3*v - 30. What is the remainder when 52 is divided by l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, 3, -0.5, 4254?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000455887 rounded to six decimal places?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 12:20 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 719918 and 2239067?\nAnswer: 6101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 s when four letters picked without replacement from {a: 4, v: 6, s: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v - 20*v + 3*v.\nAnswer: -23*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 472, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = 2*t - 1326. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(0*m + 9*m - 4*m) + 2*m + 4*m - 2*m - 5*m - 2*m + m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 + -0.9. Suppose 13 = 3*c - 2. Let j = -1.1 + 1. Sort o, c, j.\nAnswer: o, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004984379647 to six dps.\nAnswer: 0.004984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1922149*d*o**3 - 3096200*o**3 wrt d.\nAnswer: -1922149*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -134.96 + 135.06. Let f = -0.2 - 0.4. Let j = 2.6 + f. What is the nearest to a in j, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**9\/18144 + f**8\/10080 + 7*f**3\/6 + 12*f. Let r(s) be the second derivative of u(s). Solve r(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 279 + -236. Let o = 143 + -101. Let d = o - i. Which is the nearest to -2\/7? (a) d (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -5. Let s = -0.2 + 0.1. Which is the closest to o? (a) 5 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y - 4*y**3 + 0*y**2 - 1\/5*y**5 + 12\/5*y**4 + 0.\nAnswer: -y**3*(y - 10)*(y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**6\/720 - 109*h**5\/120 + 369*h**4\/2 + 6724*h**3\/9 - h**2 - 231*h. Factor o(p).\nAnswer: (p - 164)**2*(p + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-220)\/50*-25*(1 + 0). Calculate the highest common factor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740 is divided by 323.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10050273?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 285 and 26049.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 191 - 69. Suppose -13*s = 17*s + 2310. Let i = s + n. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 e when three letters picked without replacement from eetttibete?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3487 + 3485. What is the nearest to b in -2.4, 2, -2, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/10)\/(207\/(-184)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11323 (base 6) to base 4.\nAnswer: 121203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.25 and -1151.71247.\nAnswer: -1151.96247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 97053.04 grams in kilograms?\nAnswer: 97.05304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2)\/s*s)**(-47) assuming s is positive.\nAnswer: s**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 94532734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 16*u - 15. Let l be w(19). Let m = l - 39. What is the second derivative of 13*j - 28*j**m + 13*j**3 - 11*j**3 wrt j?\nAnswer: -156*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by 14794.\nAnswer: 11\/7397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*g = -4*b - 33*g - 22, -9*b + 6*g = 42 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 34)*(4*q**5 + q**5 - 7*q**5 + (-3 + 2*q + 3)*(q**4 + 2*q - 2*q) + 2*q**5 + 2 - 2 + q**5 - 3 + 3) - 5*q**5 - q - q + 4*q**5.\nAnswer: 83*q**5 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 + 26. Let w(x) = 19*x - 4. Let p be w(-2). Let k = c - p. Solve -5*h + k = -4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -251\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f. Let q(l) = 10299*l**2. What is x(q(p))?\nAnswer: 30897*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1743 and -127\/30?\nAnswer: 17430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9913923 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/5 - (-2)\/5 - 238\/56?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = -0*c + 18. Suppose -2*r + 2 = -p, c*r + 2 = 2*p + 6. Factor 1\/3*o**2 + 2\/3*o + r.\nAnswer: o*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a day in hours?\nAnswer: 516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 100*(37\/(-154) - 32\/704)\/((-104)\/455)\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32419, -32310, -32201?\nAnswer: -32092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 19. Let q(s) = 4*s - 13. Let r(n) = q(n) - w(n). Let v(b) = 1. Determine -r(f) + 5*v(f).\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16883.6 + 0.3?\nAnswer: 16883.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 347 + -463. Let n = 434 + v. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 25 + 1 + 3 - 30 + 2. Let q(g) = -9*g + 44. Let d(n) = 13*n - 66. Let h(u) = -5*d(u) - 7*q(u). Let k(y) = h(y) - 12*x(y). Calculate k(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4 + 6)*(-u**2 - 2*u**2 + 0*u**2)*(-4 + 3 - 5) as o*u**2 + v*u + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38125249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36890 + 36909. What is the second smallest value in -1\/7, r, 167?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6846491989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6703, 53016, 178723, 423520, 827103, 1429168, 2269411?\nAnswer: 3387528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, g: 2, z: 1, e: 2}. What is prob of picking 1 x and 1 e?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lel when three letters picked without replacement from {e: 1, l: 17}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnww when four letters picked without replacement from nnwwrrwwwwrrwrr?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -435*y**2 + 422 with respect to y.\nAnswer: -870*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 6810819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) 4\/5 (c) 61448 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + o - 44 = -11 + 2, -j - 2*o = -4*o + 4 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 11*v**2 - 15*v - 9. Calculate n(-6).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**3 + 20*g + 28*g - 201*g - g**3 - 208*g in the form h*g**3 + m*g**2 + r*g + p and give r.\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d**3 + d**3 + 6*d**3.\nAnswer: 18*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -502*j**3*u**3 + 161*j**2*u**2 - 2*j*u**3 wrt j?\nAnswer: -3012*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmmbbyybk. Give prob of picking 2 k and 1 y.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 2*g + 2, 4*q = 2*q + 5*g + 14. Solve 3*b - 17 = 5*d, -3*d + 1 = -b + q*b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - n = -r + 10, -2*r + 5 = 3*n. Let l = 10 - r. Suppose 3*o - 1 - 14 = 0. Put l, o, -4 in descending order.\nAnswer: o, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 8*p - 8. Let d be v(-9). Let r = 3 + d. Solve 5*x - 4 - 1 = r*l, -6 = 2*x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -302402 - 10?\nAnswer: -302412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 14 + 0 = -k, 4*d - 16 = 0. Suppose 3*b = s - k, b + 0*b - 6 = -3*s. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26188*i**4 - 27720.\nAnswer: 104752*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 62, 222, 544, 1082, 1890?\nAnswer: 3022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1692, -3395, -5122, -6885, -8696?\nAnswer: -10567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - 1600\/90 - 2\/9. Is -43\/2 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5253686395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*((b\/b**(-26))\/b)\/b)\/((b*b**7)\/b*b)*(b**(-7)\/b)\/b**(-11\/4) assuming b is positive.\nAnswer: b**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -9*c**2 - 6*c - 9. Let q(p) = -14*p**2 - 9*p - 14. Let u(b) = 8*d(b) - 5*q(b). Suppose 0*v + 3*v = -6. Calculate u(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121278 a multiple of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 0 + 0*j + 1\/40*j**6 - 3*j**2 - 1\/3*j**3 - 1\/60*j**5 - 1\/24*j**4. List the prime factors of m(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 - 156*f**2 + 6720*f + 262400.\nAnswer: -4*(f - 41)*(f + 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-8) + 38\/36. Let f = 0.07 - 0.07. Let g = 1 + f. What is the smallest value in g, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -8. Calculate the greatest common factor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**10*w)\/w**(-8\/3)*w**11*w**10)**(-2\/25) assuming w is positive.\nAnswer: w**(-208\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25517 and 2584?\nAnswer: 204136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4753 = -r - i + 2*i, 5*r - 4*i - 23762 = 0. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 4*x**2 + 2*x + 2. Let l be g(-3). Solve 5*n - l = 5*u, -u + 3 = -3*n + n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 17*t - 20. Let r be i(3). Solve -h + 5*g - 10 = -r, -4*h + 5*g + 9 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -1\/2, 6780680, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2414395840 to the power of 1\/4, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1414828?\nAnswer: 2, 41, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-19)*n)*n*n)**(-1\/44)\/(n\/(n\/(n**(1\/5)\/n*n*n)*n)*n**(-8)) assuming n is positive.\nAnswer: n**(1611\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 6*m**2 - 6*m - 8. What is h(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-6)*(-6 - 52\/(-9)). Let b = -24619777726\/1835 - -13416772. Let z = b - -1\/367. What is the smallest value in h, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -601602748 + 49\nAnswer: -601602699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*z - z**2 - 2 - 5*z - 18*z + 4*z**4 - 24*z - z - z**3 in the form c + m*z**3 + t*z**2 + b*z**4 + r*z and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330*a - 336*a + 665*a + 3 - 3.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 5:51 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-6 - (-10 + 6)) - (-4 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373 = -19*v + 1228. What is the greatest common divisor of v and 1845?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4040, -8081, -12122, -16163, -20204, -24245?\n\"Answer: -4041*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2204 and 3306?\nAnswer: 6612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3615 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 9:42 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.284 - 41.284. Which is the second biggest value? (a) -2 (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32224, -32439, -32798, -33301?\nAnswer: -33948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u**2. Let r(s) = 5*s**2. Calculate r(a(w)).\nAnswer: 125*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 0 + 4*w - 1\/3*w**3 + 11\/2*w**2. Suppose 4*l - 2*l + 28 = -3*o, 5*l - 4*o = -47. Let g(n) = -n + 6. Give l*g(h) + 6*a(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j**(-2\/3)*j)\/j))**33\/(j\/j**(-1\/2))**(4\/13) assuming j is positive.\nAnswer: j**(709\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11145007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168872, -337975, -507086, -676211, -845356?\nAnswer: -1014527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1293488 and 441.5?\nAnswer: 1293929.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -1 - 8*r**2 + 9 - 3 - r**3. Let o be s(-8). Suppose -o*p = -2*l - 215, -3*p + 129 = -0*l + 3*l. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5*a + 30, -3*b - 5*a + 6 - 28 = 0. Suppose -3*y = -4*y - 4*i - 17, 3*i = -3*y - 15. Put b, -9, 4, y in increasing order.\nAnswer: -9, y, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 0)\/((-6)\/(-9)). Find the common denominator of f\/8*81\/18 and 25\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 9 = r + 5*h, -5*r - 4*h = 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v - 2. Let r(j) = -26*j - 18. Let i(z) = 6*a(z) - r(z). Let w(m) = 28*m + 11. Let k(s) = 11*i(s) - 6*w(s). Let c(o) = -5*o. Calculate k(c(t)).\nAnswer: 70*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.14 in 2, -0.3, 72, -3, -0.5, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 624219?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 6. Let s be d(5). Solve -4*w - j - s = 0, 4*j + 6 = -w + 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 35*c**2 + 220*c.\nAnswer: -5*c*(c - 11)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 9*y + 112. Let z be 8\/y + (-32)\/(-14). What is the third derivative of -z*f**6 + f**2 - f**2 + 0*f**6 + 2*f**2 wrt f?\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 - 22*s + 4. Let v be r(-9). Suppose -4*q + v = -56. Suppose -4 = -z, j + 8*z - 4*z - 19 = 0. Calculate the highest common factor of j and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*g + 89*g - 62*g + 437*g - 129*g.\nAnswer: 434*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/5 (b) -5 (c) -0.3 (d) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.07 - -23.\nAnswer: 21.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from nnhrnhrhnhnnnh.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001401395099 to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ififfiifiiiiif. What is prob of picking 3 f?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 + 18*c + 8. Let h be r(-6). Let d(g) = -g**3 + 15*g**2 - 6*g**2 - 3 - 7*g - 1. Is d(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 344\/5 - 93902\/1365. Is -1 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*sqrt(11) + 5.\nAnswer: 1 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5 = 3*d, n + 0*d = -5*d + 3. Calculate the common denominator of ((-2)\/n*-3)\/1 and (-2)\/(-9) - (-907)\/90.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l + 16 = 0. Let f(w) = 6*w + 5. Suppose -2*u = -6 - 12. Let h(k) = 6*k + u + 2*k + 5*k - 2*k. What is l*h(d) - 7*f(d)?\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 7642, 2.\nAnswer: -47, 2, 7642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116 + 1441*j - 1443*j - 221 + 105.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29.9666217 - -29.965. Round q to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 + 0*v**2 + v**2 - 13*v**2.\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.5 - -7.5. Let i be 1\/(-3) - 2\/3. Which is the closest to i? (a) q (b) 4\/9 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(204) + -1*sqrt(204) - sqrt(204) - sqrt(204)))\/sqrt(12) - (sqrt(85)*-1*-3)\/sqrt(5).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 0.3 (c) 17420\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 9*v**2 - 18*v - 10. Let c = 22 + 5. Calculate the lowest common multiple of f(-7) and c*4\/(-18)*-6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -0.43 (b) -2 (c) -0.058 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 9.6 (b) 0 (c) 0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 15) in base 8?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*b - 150*b + 57*b)*(-b + 5*b + 0*b) to the form c*b + q + d*b**2 and give d.\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*o. Suppose -3*z = j - 20, -5*z = 2 - 27. Solve -g + j = -o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaiaaiaa. What is prob of picking 3 a and 1 i?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.23 and -107200.\nAnswer: -107200.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from {z: 3, d: 2, x: 6, w: 2, i: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2619, 5064, 7503, 9930, 12339, 14724?\n\"Answer: -i**3 + 3*i**2 + 2443*i + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*c = 266 + 496 + 6114 + 708 for c.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (4*-4 + 0). Let d be (-30)\/p - (-23 - 0). Suppose -4*y - 15 = -9*y. Calculate the highest common divisor of d and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -120\/5123 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -9*s**2\/5 + 111737*s\/5 - 4966 = 0.\nAnswer: 2\/9, 12415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24226310 and 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - f - 1. Let r be t(0). Let g be (47 - (0 + 2))*1. Let q = r + g. Does 22 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -486*j + 444*j - 164, -5*j - 23 = -3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 13. What is the third derivative of -928*r**2 - 3*r + 3*r - 43*r**3 + 1004*r**d wrt r?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50264*w + 50254*w + 1010 = 0 for w.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -24, 0.1, -851?\nAnswer: -851","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 0*t = t, 291*b - 313*b + 84 = -60*t + 59*t for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0474017 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, a: 1, f: 5, l: 1}. Give prob of picking 1 a and 1 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 156 = -149. Let l be (z\/4)\/(28\/2548). Which is smaller: 22 or l?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/457 (b) -3\/4 (c) -4 (d) -0.0297\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 39 = c, 9 + 6 = 5*c. Let o = v - 15. Suppose -3*s = -3*w - 3, 4*s - o*w = 5*s + 3. Put 6, -1\/9, s in decreasing order.\nAnswer: 6, s, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 1:56 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-1)\/(-3))\/((-20)\/40) + (-1793815)\/(-15159)\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15106068?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2527 is divided by 234?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38285)\/845 + 60 - 4\/(-13).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 70*m + 110. Give h(-70).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 17 + 13 + -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-180))\/(28\/175)*75\/125\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 136164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0783 rounded to three dps?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.123482 rounded to zero decimal places?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 4091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 + 0*a**3 + a**3 + (1 - 4*a**2 - 1)*(-3*a + a + a).\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414 = 22*w + 24*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 7\/358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - -58. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 148\/12)\/(1\/18). Is -239 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 2858277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37383*a**4 + 1960*a wrt a?\nAnswer: -448596*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_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 is the closest to 0 in 2\/9, -7, 3\/8, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 5032 and 3687099446.\nAnswer: 3687104478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5 = i - 12, 0 = -5*a - 5*i + 25. Which is greater: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012965 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxwjwxppxpwjwpw. What is prob of sequence xwpw?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -9. Suppose -65 = -k*s - 17. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (3 + 2*sqrt(208))**2 - (1 + sqrt(208) + sqrt(208) + (sqrt(208) - (sqrt(208) + -1)) + 1)**2)*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 238437916 divided by -6444268?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 29145 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 587360 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 811*i = 804*i + 1421. What is the remainder when i is divided by 103?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 20. What is the closest to 1 in 2\/11, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 59*j**6\/6 + 13*j**3\/3 - 5*j**2\/2 + 51. What is the third derivative of h(r) wrt r?\nAnswer: 3540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**3 + 2*d**2 + 0*d**2 - 93 + 17 to the form p + i*d**3 + f*d + b*d**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*h + 7*h - 764 = -164. Calculate the remainder when (3 + (-338)\/4)*-2 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 16 = 0, 5*k + 2*o = 5*o + 67. What is the second derivative of k*a**2 - 48*a + 5340 - 5340 wrt a?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**2 - b - 1. Let l(x) = 2*x + 3. Let y be l(-2). Let r be p(y). Solve -2*g = r*f - 1, -2*f + g - 6 = 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -17*v**2 + 1. Let b(h) = h. What is k(b(g))?\nAnswer: -17*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 23*l**3 + 35*l**2. Let m(v) = -23*v**3 - 34*v**2. Let k(j) = 3*m(j) + 4*o(j). Find the third derivative of k(w) wrt w.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -667 - -665. What are the prime factors of (-3)\/i - (10681\/2)\/(-11)?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-2 - (-8 + 4) - 5) - -13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 155\/4 - 39. Let g = -0.3 + -0.7. Which is the second biggest value? (a) g (b) u (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671442549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 3*k**2 - 4*k - 7. Let c be d(-3). Find the third derivative of -1315*g + c*g**2 + 1315*g + 5*g**4 wrt g.\nAnswer: 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 684 and 5292?\nAnswer: 100548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2723 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141408?\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1655957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -u - c, -8*c + 155 = 53*u - 58*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -426, -423, -420, -417, -414?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 70 = 5*a, -28 = -i - 3*a - a. Let b be 3*i\/(-15)*(-6)\/(-4). Let h(n) be the second derivative of n**3\/2 - n**2\/2 + 9*n. What is h(b)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from bdbdbdbb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4*s. Suppose -3*t = -z - t + 8, -2*z + 5*t + 13 = s. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - -5) + 3 - -47. Let a = 4 - y. What are the prime factors of (a + -4)*1\/(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 5:46 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 6:01 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115648866?\nAnswer: 2, 3, 6424937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 46 = 2*o - 19*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.84168915 times 0.2?\nAnswer: -1.76833783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.948334 meters to kilometers.\nAnswer: 0.001948334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26085 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 22*o - 20. Let j(k) = 11*k + 37. Let p(t) = 19*t + 69. Let r(i) = 11*j(i) - 6*p(i). Determine 6*n(c) - 17*r(c).\nAnswer: 13*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8535.81435 rounded to the nearest ten?\nAnswer: 8540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5512 is divided by 625?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -5\/24*f**4 + 0 - 1\/120*f**6 + 1\/12*f**5 + 2*f**2 + 5\/6*f**3 + 0*f. Calculate v(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 14*b**2 + 16*b**2 - 13*b**2. Let q(j) = -8*j**2 + 9*j**2 - 10*j**2 + 11*j**2. Calculate o(q(u)).\nAnswer: 68*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 0. Let t be (2 + 1)*68\/(-51). Let g = -8 - -13. Sort g, m, -5, t.\nAnswer: -5, t, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 100908 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - ((11 - 4) + -22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5726 equal to -5721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/6*-9*57\/(-147915))\/((-1)\/4)?\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 + 70. Solve -24 = -s*a + 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*v**2 + 11*d - 116*v**2 - 1 wrt v.\nAnswer: -2*d*v - 232*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/14 + -13 + (-615600)\/(-315)?\nAnswer: 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 3 = -0*y + y - 0, -7*o + 717 = -147*y - 7*o - 9*o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 - 60*x**2 - 224*x.\nAnswer: -x*(x + 4)*(x + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44\/207 - 722\/1449. What is the smallest value in p, 4, 3\/2, -1\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 25 = 2*v. Let g(z) = z + 6. Suppose -9*a + 12*a + 3 = 0. Let m(h) = 1. Determine a*g(t) + v*m(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*l - 18 = 0, 7*l = 5*o + 4*l - 11. Suppose 2*u - 4*z - 19 = -21, o*z - 8 = 0. Factor 2\/5*v**u - 7\/5*v**2 + 1\/5*v**4 + 0 + 4\/5*v.\nAnswer: v*(v - 1)**2*(v + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/18 - (-21 - 7670\/(-234))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 2)*519\/2130. Let l = r - -4\/71. Calculate the common denominator of 2 + -1 + 242\/(-20) and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6\/31 - 116\/279. Let t = -871569\/6485 + -3\/1297. Let i = t - -135. Sort i, u, 5 in descending order.\nAnswer: 5, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10537 = -4*n + 10553. Put 5, -235, n in descending order.\nAnswer: 5, n, -235","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -11.9 (b) 44\/35 (c) 0 (d) 3\/4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/(c*c**(1\/3)\/c*c*c)*c)*c)**(-31)*c**(2\/17)*c**(-10) assuming c is positive.\nAnswer: c**(-2612\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 40 = f + 4*t, -3*f = -2*t - 16. Calculate the least common multiple of f and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-4 + 10)\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -4*h**5\/5 - 50*h**4 - 828*h**3 + 400*h**2 + 10000*h - 4129. Solve j(n) = 0 for n.\nAnswer: -25, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/8 - ((-176)\/(-192) + 10\/(-12))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 7*w**2 + 10*w - 15. Calculate h(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 7*o**2 + o + 10. Let k be t(-7). Suppose -k*r = -w, 2*r = 3*w - w. Let n(h) = h**3 - h - 3. Calculate n(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*d + d + 63 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 2*m - 3*a, a + 126 = 3*m - 2*a. Let r(x) = 5*x**2 - 7*x + 5. Let q be r(4). Calculate the highest common divisor of q and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 84\/22 + 2 + -4.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*h**2 + 218*h**2 - 156*h**2 - 194*h**2 - 2 to j + n*h + p*h**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6720796 millilitres?\nAnswer: 0.0006720796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32.2 + 32.6. Which is the closest to 0.13? (a) q (b) 1\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p**2 - 58*p + 6. Let z(g) = -g**2 - 17*g + 2. Let s(o) = 2*k(o) - 7*z(o). Let l be 3\/5 + (-16)\/(-40). Suppose 9 = 2*x + l. Determine s(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 18317 = 4*y, -545 = -j + 5*y + 5548. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/5*(-5)\/2. Find the common denominator of -101\/2 and (m\/((-32)\/(-180)))\/12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/800 and 121\/300.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -847486 + -4?\nAnswer: -847501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -10*x. Let p = -2 - -6. What is the least common multiple of w(-1) and ((-22)\/p)\/((-1)\/2)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8052, 7983, 7828, 7551, 7116, 6487, 5628, 4503?\n\"Answer: -6*h**3 - 7*h**2 - 6*h + 8071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.09 + -9.09. Let q = 0.1 + -16.3. Let v = c - q. Round v to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o - 2*o**3 + 2*o - 5*o**3 to the form y*o + u*o**3 + v + s*o**2 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 5*l - 4*n, -35*n = -32*n - 9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 1)*(27 + (-477)\/18). Let y = 456 - 8662\/19. Let i = -34 + 33.8. What is the nearest to k in i, 0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37655 divided by -5.\nAnswer: -7531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.028591 to four decimal places.\nAnswer: -0.0286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 196 + -256. What is the remainder when 18*(-10)\/4*96\/z is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13222, 52678, 118368, 210298, 328474, 472902?\n\"Answer: b**3 + 13111*b**2 + 116*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -9*i**3 + 8*i**2 + 5*i. Let p(g) = 8*g**3 - 9*g**2 - 4*g. Calculate 5*p(o) + 4*u(o).\nAnswer: 4*o**3 - 13*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -152 + 151. Let y = -13 + 8. Which is the closest to p? (a) 0.3 (b) y (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*o + 88 = 372*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4708*i - 2225*i - 3596*i.\nAnswer: -1113*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 453862919 to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4009 + -12026\/3. Which is the fifth smallest value? (a) -2\/19 (b) 5 (c) n (d) 2 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/66*(50\/5)\/60?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -174, -391, -688, -1059, -1498, -1999?\nAnswer: -2556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49815186 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -37*r**2 - 5*r - 14. Let x(k) = -19*k**2 - 2*k - 7. Let y(v) = -2*b(v) + 5*x(v). Differentiate y(h) with respect to h.\nAnswer: -42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-35))\/(72\/(-63))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyppppvpnvnvzvzzpppz. Give prob of picking 1 y and 1 v.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -112, -928, -3148, -7474, -14608?\n\"Answer: -117*c**3 + 3*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.169 smaller than 544.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 at least as big as 413887\/981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-33)\/44 + 1254\/8. List the prime factors of 2102\/18 - c\/(-702).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.04 (b) -2\/7 (c) -0.57 (d) -30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + c + 3. Let i be h(0). Let m be 5 - 0 - i - -2. Let j be -1 + 0 - (-12)\/m. Which is greater: -0.7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*x - 27, 0 = -3*g - 4*x + 5*x + 17. What is the second derivative of 2*j**g + 3*j - 2*j - 3*j wrt j?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 378 and 226674?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-1*sqrt(70) - sqrt(70)) + sqrt(70) - (sqrt(70)*1*-4 + sqrt(70)))\/(sqrt(50)\/sqrt(5)*1 - (sqrt(100)*-1)\/sqrt(10))*-5.\nAnswer: 15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 + 3*a**2 - 5*a**2)*(10 - 4 + 17)*(2 - 1 - 2)*(-a + 1 - 1).\nAnswer: 23*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4)*(6 + (-30)\/5). Solve v = -4*m + p - 10 - 3, 0 = -3*m + 4*p - 26 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-54)\/(-4))\/(9\/918). Let z = 2354 - a. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cggcc. What is prob of sequence cgcg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 12 - 3*d**2)*((2*d + 0*d + 0*d)*(-3 + 1 + 3) - d + 2*d + 26 + d - 23*d + 14*d - 7*d) in the form r*d**3 + y*d + o*d**2 + g and give o.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31180*l - 2*y - 29 = 31183*l, 0 = -5*l - 20*y - 65 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4555 - 4445. Let z = -19 - -40. Let w = 23 + z. Calculate the greatest common divisor of r and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 9*f**5\/20 + 13*f**3\/6 + 10*f. What is the second derivative of s(o) wrt o?\nAnswer: 54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + o + 2*o**2)*(-47*o + 141*o - 61*o + (4 - 5 + 3)*(0*o - o + 2*o) + 0 + 3*o + 0 + 2*o - 4*o + 4*o) to k*o**2 + x*o + f + y*o**3 and give y.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1065 + 856 - (20 - 145).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 + 51*p + 61. Is 20 a factor of a(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(156) - 2*sqrt(156))\/(2*sqrt(363)) - ((sqrt(208)*5 - sqrt(208)) + sqrt(468)*5)**2).\nAnswer: -27505 - sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/7)\/4*13\/182.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*n + 2*n + 3*g, -2*n - 4*g = 8. Suppose -n*p + 3*p = -7*p. Solve -i - 3*o + 2 = p, 0*i + 4*i + 5*o = 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-4))\/(3\/(-30)). Suppose -f*g + 150 = -15. What are the prime factors of g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50159325?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248876 is divided by 1264.\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/4, -23, 2\/3 in decreasing order.\nAnswer: 2\/3, 1\/4, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10 + -10 - 1120\/(-10). Calculate the highest common factor of 644 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -164*p**4 + p + 163*p**4 - 6*p**3 + 8 + 7*p**3 + p + 2*p**2 in the form g*p + z*p**3 + h*p**2 + c*p**4 + j and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 13*g + 2417. Calculate m(-55).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565059 is divided by 80709.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 6. Let m be q(-5). What is the highest common factor of 171 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*-5*((-1422)\/(-46215))\/(2\/25*10)?\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102)\/(-518) + (-2358)\/16506.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -4*d + 24, 4*o - d - 18 = -27. Which is the third smallest value? (a) o (b) 1\/104 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q + 19. Determine h(-13).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 836 = 466. Calculate the greatest common divisor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 11*n**2 + 4*n - 92. Let h be x(-12). Suppose -r + 9 = -2. Suppose r*a - h*a = 14. Solve a = 3*g - 13 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 128264 = 4*z - 32223, 0 = -5*c + 3*z + 160501. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4132681159.\nAnswer: 4132681159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - 110110010111111000?\nAnswer: -110110011000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -377\/5 + 75. Let x = 422 + -424. Let m be 2\/(-9)*6\/(-4). Which is the closest to x? (a) h (b) m (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2510*t + 20076. Determine w(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3537786*l**4 - 477487*l**2 wrt l?\nAnswer: -84906864*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-2)\/2 + 14. Let h be 66\/(-11)*26\/(-12). What is the highest common factor of h and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-16)\/20 + 1). Let b be (-15)\/(-5) + -3*1. Solve -3*t = 6, -v*o - t + 0*t - 2 = b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365.7627 millilitres in litres?\nAnswer: 0.3657627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 3*u. Let q(d) be the first derivative of d**2\/2 + 5*d - 8. Let a be q(-4). Solve 3*x = -2*x + t - 5, -x - 5*t - a = u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 10 = 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9797 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 13*h**2 - 15*h + 8. Let u be q(12). Let l = 321 + u. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 865\/1211*42\/30*-2*24.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 42, 66, 92?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280191.\nAnswer: 3, 59, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0033432 to 4 decimal places.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 0 (c) -71.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*w - 296*w + 12 = c, 5*w + 3*c - 15 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + w**2 + 2*w**2)*(-6*w + 3 - 3) + 0*w**3 + w**3 - 2*w**3 + (2*w + w - 2*w)*(-1 + 1 - w**2) - 2*w**3 + 0*w**2 + 0*w**2.\nAnswer: -34*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**6\/180 - b**5\/120 - b**4\/12 - 3*b**2. Let w(x) be the second derivative of y(x). What is the units digit of w(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 98*y**3\/3 - 531*y**2\/2 - 62. Find the second derivative of a(u) wrt u.\nAnswer: 196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 263*q**4 + 121*q**2 wrt q?\nAnswer: 6312*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 11 = 5*o, -3*s + 86 - 96 = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36.56 * -1.\nAnswer: 36.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3233486*c**3*j**2*q - 3*c**3*q**3 + 2185*c**2*j*q**2 - 298*c*j**2*q**3 + 2*c*j*q**3 + 2*j**2*q**2 wrt c?\nAnswer: -19400916*j**2*q - 18*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1829 + -4?\nAnswer: 1825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -10*x**2 - 1085296*x - 2170596. Calculate b(-2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + sqrt(136)*1)\/(sqrt(8)\/sqrt(16)))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2137 - -615479\/288. Calculate the common denominator of 35\/3 and q.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 2 = x. Let y = -8.5 - -8. Let d = 0.4 + y. Which is the second smallest value? (a) d (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qeq when three letters picked without replacement from oeeqeeqq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -35. Let g be 1\/(-5) - 5\/(-15). Which is the closest to q? (a) 0.5 (b) g (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = 232*d - 229*d + 19. Let c(r) = 2*r**2 + 69*r - 39. Give c(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**5*k**3 - 3570*g**3*k**3 - g**2*k**3 + 98*g*k**3 - 6*g*k + g wrt g.\nAnswer: 180*g**2*k**3 - 21420*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162 - 54 + i**2 - 108 + 5*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*y = 2844437 - 2818386 for y.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -142461 or -142482?\nAnswer: -142482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 7, v: 1, z: 5, i: 3}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17886288 is divided by 8943133.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byy when three letters picked without replacement from {m: 2, y: 2, r: 1, p: 1, w: 5, b: 6}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -961, -849, -737?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3 - 20*p - p**2 + 15*p + 18*p. Let m be h(13). Suppose -g = -2*w + 4030, -4*w + m*g + 3199 = -4857. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-8) - (1 - 1)\/(-3). Let l = 0.1 - -0.9. Let n = -27.5 - -27. What is the closest to -2\/5 in l, g, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r + 31. Let f(w) = 11*w + 62. Let m(t) = -6*f(t) + 13*x(t). What is the units digit of m(23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(270)*-6)\/sqrt(6) - ((sqrt(720) + 1)*4 - (-1*sqrt(720) + -2)))**2.\nAnswer: 72*sqrt(5) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 498 - 350. Suppose -5*m + 533 = p. Let a be 1*-2*7\/(-2). What is the highest common factor of a and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 14. Suppose o + 4 = 19. Suppose -4*a - o = -a. Is a greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -26*f**3 + 2*f**2 + 6*f - 6. What is c(1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-4) - (-4)\/8. Suppose 6*u = -c + 2*u, h*u - 40 = 4*c. Let a be -2 - (c\/(-2))\/(-2). Solve t + a*t - 2 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.03 (b) 0.688 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrmnm. Give prob of sequence nm.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u**3 - u**2 + 2*u - 1. Let r be m(1). Suppose -2*l - 3*l = h - r, -2*h = -4*l - 28. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 468 times -0.035657\nAnswer: -16.687476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1356.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**31*w\/w**(-9) assuming w is positive.\nAnswer: w**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 55.417 (c) -441\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122952427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 666\/7, -96\/115, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 20.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k + 26. Let y be l(10). Let h(m) = -m + 1. Let w(q) = -5*q + 7. Determine y*h(r) - w(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 581804 and 581803 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/484 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1848 and 1834536.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446320920?\nAnswer: 2, 3, 5, 3719341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + (-782)\/(-138))\/(2\/6) - 50?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 36, -79\/2, 0.005, 3 in increasing order.\nAnswer: -79\/2, 0.005, 3, 17, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 343431412 + 41?\nAnswer: 343432003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.22 - -4.78. Let w = 30.1 - 29.8. What is the closest to p in -0.5, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229 = 6*m + 154*m - 91. Solve -m*n = 5*y + 15, 9*n + 5*y = 10*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-169790)\/(-24))\/((-21)\/672)*-750. What is r rounded to the nearest one million?\nAnswer: 170000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -143, -303, -529, -821, -1179, -1603?\nAnswer: -2093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 27069\/(-23202)*4\/(-539)\nAnswer: 2\/231","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2. Let s(u) be the second derivative of 5*u**3\/6 - 8*u. Calculate s(z(i)).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5674, 11344, 17014?\n\"Answer: 5670*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15138 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -143 (base 7) to base 5\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -114798 (b) -0.3 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 9*y - 7. Let p be w(-11). Let m = 12 - p. Which is the closest to -2? (a) 1 (b) 0.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(c - 2*c**2 - c)*(c**2 - c**2 - c**2).\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 78 = k - 14, -5*k + 5*o = -340. Let l = k - 72. Suppose l = 4*h + b - 12345, 5*h = -0*h + b + 15420. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s**5 - 25*s**4 - 25*s**3 + 25*s**2 + 10*s = 0. What is s?\nAnswer: -1, -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in eighteen sevenths of a week?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 2*sqrt(7))**2 - sqrt(7) - 2*sqrt(343)) + -5 + (3*(2 + sqrt(7)))**2 + 4 + sqrt(7) + 0 + sqrt(7).\nAnswer: 43*sqrt(7) + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*m**3 + 145*m**3 + 38*m**3.\nAnswer: 245*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 291*v**3 + 12*v**2 - 13*v + 1. What are the prime factors of f(1)?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16928 divided by 23?\nAnswer: -736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14232 (base 8) to base 13\nAnswer: -2b36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j**3 - j**2 + j*r*x + 2*j*r - 29*r*x - x wrt j?\nAnswer: 6*j**2 - 2*j + r*x + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-238)\/357*2\/4)\/((-252)\/27)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 5*a + 4. What is u(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 1. Suppose -3*b = -p*o - 4*b + 26, 5*o = -b + 62. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*f - 2*i, -4*f = -2*i - 6 - 6. Put f, 4, 3 in increasing order.\nAnswer: f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -46*h - 16. Let i be l(-10). Suppose -6 = -2*m - m, 5*x = -2*m + i. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*w + 33. Let d = -6 + 9. Calculate the remainder when w is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 18*p**3 - 330243*p**2 + 9836139*p + 1648530 = 0.\nAnswer: -1\/6, 30, 18317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 32 = -5*b, 8*b + 23 = r + 3*b. Suppose r*n - u = 164, u - 225 = -4*n - 4*u. What is the remainder when 328 is divided by n?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 9:19 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 1674 = -4*n, -5*n + 105*w + 2043 = 108*w. Let z = -13 + 21. Calculate the lowest common multiple of n and z.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one quarters of a micrometer in nanometers?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(15\/30*-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + 11000000001000?\nAnswer: 10111111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -3*r + 23, -3*y + 6*y = 4*r + 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 163241652 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 2585?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9\/517 (b) 15.1 (c) -0.5 (d) -1 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -10*2\/(-4) - 1. Suppose b*i - 3*n - 51 = 0, 5*i - 2*n - 1 - 54 = 0. Suppose 3*w + 3 = 3*y, y + w - i = -0. Solve y*r + 4 = -1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + r. Let k be i(-6). Suppose 3*l = g - 4*g + 30, 0 = 2*g + 4*l - k. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r - 29. Let g be d(-8). Suppose o - 8 = -k - 3, -g*k = 2*o - 15. Solve 2*m + o*h - 1 = h, -15 = 3*h for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 86, -5.7, 1\/15, -3 in decreasing order.\nAnswer: 86, 0.08, 1\/15, -3, -5.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 3. What is the remainder when 27 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -76, -177, -308, -463, -636, -821?\nAnswer: -1012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**5\/60 - 214*x**2. Let h(z) = -5*z**2 + 2*z - 2*z. Give h(j(q)).\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*a + 5. Solve 5*i + 3*s + 14 = 0, 0 = -2*i - 0*i - 2*s - a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51963*m**4 + 84?\nAnswer: -207852*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 2:11 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 divided by 18875?\nAnswer: 488\/18875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41361 + 54039. What is n rounded to the nearest one thousand?\nAnswer: 95000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 + 104100*l + 903067500.\nAnswer: 3*(l + 17350)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmwmmmmmmwmwmm. Give prob of sequence mmmw.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 28977.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(-62*b + 14*b - 20*b) + (-1 - 2 + 6)*(b + 0*b + b).\nAnswer: -62*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1096193 * -5.\nAnswer: 0.5480965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 8*k**2. Let q be d(8). Suppose 64 = -q*a + 4*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t + 0*t + t + (-3 + 8 - 1)*(2*t - 5 + 5).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**1*j**(-6\/5))**(1\/42))**(2\/5) assuming j is positive.\nAnswer: j**(3\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4020 + -4012. Solve -l*b + 18 = 4*w - 6*b, 0 = 5*b + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -444, -446, -448?\n\"Answer: -2*f - 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = y + 8 - 1, 3*y + 3*q - 24 = 0. Let s be 1*4\/7*7. Suppose 18 = -3*a + y*c, 3*a + c - 12 = -s*c. Is 4 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2184219595 to the power of 1\/2, to the nearest integer?\nAnswer: 46736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3233047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 114. Let t be r(0). Let p = 144 + -264. Let i = t - p. Is 6 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 3, -17, -65?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10101 + 21022?\nAnswer: 10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/1*-1*((-192)\/32)\/198.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-2))\/((-6)\/(-30)). Suppose 4*t = 3*y + 24, 13*t - 2*y - 17 = i*t. Solve -5*v = t*l, 5*l = -0*v - 2*v + 19 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-5) + 16\/10. Solve -a*u - 2*q = 0, -2*u + q = u - 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 536634 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 372 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 649668 - -426966. Let y = 1076689.0047 - u. Let k = y + -55. Round k to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-1\/2))\/c)**23*c*(c\/c**1)\/c*c*c**(-1))\/(c**3*c*c**(2\/21)*((c\/((c\/((c**(1\/6)*c*c*c)\/c))\/c*c)*c*c)\/c)\/c*c\/c**(-1\/6)) assuming c is positive.\nAnswer: c**(57\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*l - 8, -d - 2 = -3*l + 6. Suppose l*a - 2 = 3*b, -3*a + 4*b + 2 = -3. List the prime factors of 4\/(-11 + a)*-111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 88\/18 - 3\/(-27). Suppose -y - 40 = -5*x - 6*y, -2*y - 44 = -4*x. Suppose l - 31 = -x. Solve 5*a + 12 = -4*g, -4*a - 6 = -c*g - l for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 59133, 118278, 177427, 236580, 295737, 354898, 414063?\n\"Answer: 2*p**2 + 59139*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.6 - 13. Let g = 4273.6 + -4283. Let u = g - b. What is the fourth smallest value in -2, 0, u, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 39*o + 183. Calculate w(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1033121 + -10010?\nAnswer: 1023111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-4)\/6*(-1)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -405*i**2. Let n(d) = -14*d + 6*d + d + 2*d + 3*d. Calculate n(j(c)).\nAnswer: 810*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5.2 and -4.59.\nAnswer: -9.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 11:46 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/2*(234\/(-54))\/(-13)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -0.0602, 2?\nAnswer: -0.0602","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26652 > 639629\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(432) - (sqrt(432) + 1))**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96 - -100. Which is the second smallest value? (a) -1\/2 (b) -4 (c) -2\/3 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49.48 + -0.52. Let q = -47.7 - g. Round q to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6297 is divided by 6260?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d + 18*d = 12 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z - 223 = 219. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/4 - 2\/(-4). Let k = 72 + -57. Solve t*m = -m + k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t = 80. Let s = t - -26. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 8 = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + v + 0*v - v - 11*v**2 + 13*v**2 - v - 6*v**2.\nAnswer: -4*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**7\/70 - 7*h**6\/50 + 57*h**5\/100 - 5*h**4\/4 + 8*h**3\/5 - 6*h**2\/5 + 2*h - 4. Let y(b) = 0. What is b?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/123 and -71\/66413686.\nAnswer: 199241058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -u - 23, -5*u + 1044*w = 1040*w + 93 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2\/5 - 69*i\/5 + 36 = 0. Calculate i.\nAnswer: 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 0*j + 6*j - 4*j. Suppose -2*w + 3*w = 15. Let y(v) = 21*v**2 - 15*v + 15. Let c(z) = 3*z**2 - 2*z + 2. Let t(h) = w*c(h) - 2*y(h). Calculate k(t(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 149 - 325. Let v = 175.5 + k. Which is the closest to 4? (a) v (b) -0.1 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1134 divide 51797718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5810714829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2264*l - 11293. Calculate n(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57189 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u - 1. Let t be o(-1). Let y = t - -8. Suppose 80 = 7*m - y*m. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -5 - (-30 - -14)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5374 + 5374 = 0. Solve -5*n - 4*h + 32 = c, 2*n + 2*n - 13 = h for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3844433390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**6 - 102*c**3 - 8*c**2 - 3 wrt c.\nAnswer: -360*c**3 - 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*g**3 + 15*g**3 - 7*g**3)*(-8 - 7*g**2 + 8).\nAnswer: -252*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 13*t**2 + 15*t - 4. Let d be j(14). Let p = d + -6. Let k be p - (2 - -1 - -160001). What is k rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42\/189 - (-22)\/(-18). Let u be -1*(-52 + 2 + s). What is the smallest common multiple of u\/34 + 18\/4 and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1239 + 1370. What is the remainder when t is divided by 2598?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1430 - 769. Is r a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -1881*k. Let j(s) = 3103*s**2 - 6197*s**2 + 3096*s**2. Give g(j(x)).\nAnswer: -3762*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 26425150?\nAnswer: -26425150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 2*p = 344. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1949, 2\/3, 14, 3, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -18.54, 36\/11 in increasing order.\nAnswer: -18.54, -1\/9, 36\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + w = -w + 10, 3*w = -3*j - 21 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.469 (b) 1\/5 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 5*j**3 - 22085*j**2 + 65860*j + 1544900 = 0.\nAnswer: -7, 10, 4414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1542350 divided by 308470.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 9:30 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72775 and 2201.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w**2 + 2*w - 2. Let b(z) = -z**2 - z - 1. Let a(c) = 6*b(c) - o(c). Let m be a(-7). Factor 4\/9*p**2 - 2\/9*p**m - 4\/9 + 2\/9*p.\nAnswer: -2*(p - 2)*(p - 1)*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -119 + 114. Suppose -5*m = 20, -m = 3*i + 3*m + 28. List the prime factors of i + (34 - (-2 - s)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 3333.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 21*q**2 + 35 - 3*q + 10*q**3 - 63 + 21*q**2.\nAnswer: 10*q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + sqrt(300))*-2 - (sqrt(1728)*1 + sqrt(27) - sqrt(27))\/sqrt(9)*2)**2.\nAnswer: -7488*sqrt(3) + 33744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 123*l**2 + 35766*l - 19328800 wrt l.\nAnswer: 246*l + 35766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 36. Let f be t(0). Suppose -5*i - 2*o + f = 0, -2*i + 9 = 3*o - 12. Suppose 2*k**3 - 5*k**2 + 0*k**3 + 2 + 11*k**2 + i*k = 0. What is k?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*q - 2*q**4 - 33119*q**2 - 13*q + 33114*q**2 + 3 in the form o*q + w + l*q**3 + n*q**2 + t*q**4 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 6*a**2 + 2*a)*(2*a + 0*a - a + (-2*a + 0*a + 10*a)*(3 + 7 - 4)).\nAnswer: 294*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 81726179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 1250808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*y - 11*y + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1088))**2 - (3 + (sqrt(51)\/sqrt(3))**2 - sqrt(17)).\nAnswer: sqrt(17) + 1068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4199.936 millennia in centuries?\nAnswer: 41999.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 11) to base 5\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3, 1, 7, 15, 25?\n\"Answer: g**2 + g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159789, -319267, -478753, -638247?\nAnswer: -797749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 1\/20407449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g - 16. Let c be v(-5). Let j be 2 - (3 + -2 + -1). Suppose -j*l**5 - l**c - 3*l**4 - 7*l + 7*l = 0. Calculate l.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2247531.98 rounded to the nearest 1000?\nAnswer: 2248000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1552*u - 18504 = 51336 for u.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**2 - 20378139*t + 61134444 = 0. Calculate t.\nAnswer: -6792716, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 29. Suppose -w = -p + 21. Is 2\/7 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -77*r**2. Let p(z) = 38*z**2. Let o(w) = 4*n(w) + 9*p(w). Let u(d) = -89663 + 44828 + 44835 + 4*d. Determine o(u(l)).\nAnswer: 544*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 110, -1, -4, -0.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 10 = -0*b + t, 5*b - 2*t - 11 = 0. Suppose -27 + 7 = 5*i. Let x be ((-14)\/i)\/((-4)\/(-8)). Solve x*h - 12 = b*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1090)\/15 - -8)\/((-1)\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*t + 39, 2*k = 2*t - 58 + 22. Solve -3*z + 14*d = t*d + 3, -9 = 4*z + 3*d for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*g + 28 = 0. Calculate the greatest common factor of 42 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(4050) + sqrt(4050) - (sqrt(50) + sqrt(150)\/sqrt(48)))\/(5*sqrt(120)\/(sqrt(60)\/sqrt(5))*-5).\nAnswer: -103*sqrt(5)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 92693 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2660, 5488, 8482, 11636, 14944, 18400, 21998?\nAnswer: 25732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30096*z + 15044*z + 15051*z + 75*z**2 + 1 to the form y + j*z + n*z**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -17*t - 270. Let b be g(-16). Let d(i) = 4*i**2 - i. Let f be d(1). What is the derivative of -12*x**3 + b*x**3 - 29*x**f + 31 wrt x?\nAnswer: -117*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25\/6, 2\/13, 3, 20, 4\/7, 0.4 in descending order.\nAnswer: 20, 25\/6, 3, 4\/7, 0.4, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/51 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*q - d - 15, -4*q = d - 46. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -382 divided by 3.\nAnswer: -382\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43\/10 + 331\/70. What is the closest to -0.1 in -5, 2\/25, y?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -3)\/(-1 - 0). Suppose -5*n + 18 = x*z - 3, 4*n - 12 = -4*z. Which is the nearest to 5? (a) -2\/3 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*a - 5*w = -6, a - 12 = -5*w. Suppose -32 = -a*l + 26. What are the prime factors of l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*c + 36*c + 16*c**3 + (3*c + 2*c - 3*c)*(-3*c + 3*c - 2*c**2).\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -18 - -3*(-20)\/(-6). Let o(s) = -s**3 - 7*s**2 + 6*s - 10. What is o(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.134257 rounded to three decimal places?\nAnswer: 1.134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 27706 times 4\nAnswer: 110824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 12874105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -122 - -122. Let w(s) = -s**3 + 2*s**2 + 3*s - 1. Let i be w(3). Put h, i, 1 in ascending order.\nAnswer: i, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) -2485 (c) 296\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by 2845?\nAnswer: -23\/2845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31.92 and 7236.\nAnswer: -230973.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(4\/(-11)) + -2. Let d = 1 - j. Let t = 2 + d. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -5) + 0 + 4. Suppose -2*m = x*j - 767, -4*j - 2*m + 261 = -353. Calculate the greatest common divisor of j and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*o - 2*a, 0 = 19*o - 18*o - a - 1. Solve 9 = 3*t + 5*g, 3*t - o*g - 7 = 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00920788804 rounded to four decimal places?\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ioioiiooooo. What is prob of picking 2 i and 2 o?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d3a69 (base 14) to base 3.\nAnswer: 2222112200100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96415, -97256, -98093, -98926, -99755?\nAnswer: -100580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 141821159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**2 + 2*d - 7. Suppose 6*n - 12 + 65 = 35. Calculate j(n).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 43 + 11 = 0. Calculate the least common multiple of 2 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l**3 - l - l**3 + 0*l wrt l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - j - 18, 4*o - 3*j - 22 = -6*j. Let z(l) = 2*l**2 - 3 + 52*l - 53*l + 0. What is the units digit of z(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**4\/4 - 5*x**3\/3 + 3*x**2 - 7*x - 1. Suppose 2 - 26 = 4*b. Calculate n(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -2*p - 3*k + 921, 3*p - 4*k = 1383. What are the prime factors of p?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*s = -8*y - 15, -y = 4*s + 12. Let g be (2*6\/(-324))\/((-1)\/6). Let w be -1*12\/(-5) + -2. Which is the nearest to y? (a) g (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 156 + -151. Let m(c) be the first derivative of -1\/5*c**4 + 0*c**a + 0*c**3 + 1\/15*c**6 + 1\/5*c**2 + 0*c + 3. Factor m(n).\nAnswer: 2*n*(n - 1)**2*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a micrometer in nanometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(4\/7))\/(l\/(l**15\/l)))\/(l**0*l\/((l\/(l\/(l**17\/l))*l)\/l)) assuming l is positive.\nAnswer: l**(207\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*a = -a - 190, -4*u - a + 202 = 0. Does 21 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 8*q + 2. Let o be l(8). Suppose 0 = -h - 0*j - 5*j + 11, -o*h - 2*j + 22 = 0. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (7 - 3)) + 7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5\/c)\/c*c**(-2)*c*c**(-1\/2)*c*c\/c**(7\/4)*c*((c\/(c**(-1\/3)*c))\/c**(1\/8))**(-1\/14) assuming c is positive.\nAnswer: c**(919\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (711\/27)\/((-2)\/(-6)). Suppose 4*f = a - t, f = a - 2*f - 77. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3128.219 hours to microseconds.\nAnswer: 11261588400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mwwmnmnmmmm?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*c + 23*c - 66*c)*(-c - 2*c + 4*c) + (-6*c + 4*c + 3*c)*(199 + 45*c - 199).\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -65, -144, -225, -308, -393, -480?\n\"Answer: -k**2 - 76*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 12*p - 6. Let w = -5 - -7. Let f be g(w). Solve 0 = 3*z - 3*b - f, 0 = -3*z + 6*z - b - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560267?\nAnswer: 577, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.088008 to four dps.\nAnswer: 0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnkjn. Give prob of picking 1 k and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 41, -17, -6, -2\/7?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4946697 and 1512?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2278663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.17 - 0.17. Let n = d + -7.5. Let w = -3 + n. Put -1, w, -3\/8 in ascending order.\nAnswer: -1, -3\/8, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 18*y + 24. What is c(-21)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) 1\/8 (b) 3 (c) 6 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.1 + -6.03. Let l = s - 0.07. Let k = -8 - -5. Which is the nearest to l? (a) 0 (b) 0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 7*c + 11. Let q(y) = -y**3 + 12*y**2 - 10*y + 16. Let u be q(c). Let r = -118 + u. Let d(j) = -j**3 - 5*j**2 - 3*j - 3. Calculate d(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1\/2, 3\/10, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*s**2*w**4 - s**2 - 520*s*w**5 + w**2 - 2*w + 424 wrt w.\nAnswer: -168*s**2*w - 31200*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**4))**(1\/2)*x**(2\/3)*x**(-2\/7) assuming x is positive.\nAnswer: x**(-34\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -127 - -118. Let t(s) = -5*s + 11. Suppose 0 = 6*k - 11*k - 20. Let l(r) = 2*r - 5. What is k*t(z) + o*l(z)?\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233 = -1822*k + 429 + 1160 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 53. Suppose -2*y = -q + 7. Suppose -2*b + 3 = h - y, -b = 5*h - 17. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from {p: 2, k: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1552 minus -3.9?\nAnswer: 1555.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 7*c = j + 14, 4*j = c + 29. Suppose 0 = g + 3*g + 5*u - j, -3*u - 2 = g. Let b be 0 - 1 - (2 + -3). Solve q - g = -b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285379669 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -130 - -130. Let a be (-1 + (-1)\/(-2))*(f + -8). Solve a*o - o = 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 3\/4, -35, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9245.4 rounded to the nearest 10?\nAnswer: -9250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17793 is divided by 4417.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2277\/(-90) + 3 + 27\/(-10)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -230.6804 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(1872) + 1)*-5)**2 - (-2 + sqrt(1872)*1)) + (5*(sqrt(1872) + sqrt(1872) + sqrt(1872) + sqrt(1872)*2 + 2)*6)**2.\nAnswer: 216588*sqrt(13) + 42170426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 132 - 13 + 204*k + 40*k - 242*k.\nAnswer: 2*k - 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*v + 5*y, -4*y = -5*y + 5. Let s(f) = -3*f - 2. Let z(w) = 3*w + 1. Let g(p) = v*s(p) + 5*z(p). Determine g(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = -2*t. Let q(k) = k**3 - 2*k**2 - k - k**2 + 6*k**2 - 1. Give q(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(567)*2*-3.\nAnswer: -270*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvaazzzavvz. Give prob of picking 2 a and 1 v.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s + 5382 = -6202. Let h = s + 729. Solve 5*o = t + 1 + 1, 0 = -h*o + 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 24 = 4*f, 3 - 38 = -3*f + 5*z. Suppose -f*c = -7*q + 3*q - 6, 0 = -5*c + 10. Sort -4, 21, q.\nAnswer: -4, q, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1.0364, -0.2 in decreasing order.\nAnswer: 4, -0.2, -1.0364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13245*c**2 + 25482*c**2 - 13848*c**2 + (-2*c + 3*c + 0*c)*(0*c - 6*c + 2*c).\nAnswer: -1615*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -13\/1723 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 1 - (-2 - 5). Is 11 a factor of ((-44)\/h)\/(2\/(-7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9724?\nAnswer: 2, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, 109, 276, 511, 814?\n\"Answer: 34*c**2 - 3*c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -1136*r - 7936. Calculate c(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1946 and 39389?\nAnswer: 10950142","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 74341639 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 380 = 2*k - 3*k, -190 = -2*v - 4*k. Let m be (-2 + -1 + 2)*v. Does 14 divide m\/(-7) - (-3)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 11. Suppose 0 = -36*u + 43*u - 112. What is the lowest common multiple of u and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 10:49 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ulh when three letters picked without replacement from {u: 10, l: 1, x: 1, h: 2}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -3.67, -1, 2, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71507741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 721*g - 2880 = 577*g. Calculate the remainder when 2876 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 8 + 5)*(0 + 0 + a)*(-5283 - 83*a**2 + 5283) as w*a**2 + d + t*a**3 + c*a and give t.\nAnswer: -1079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00490193 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 289*w**7\/945 - 10421*w**6\/270 + 376993*w**5\/270 - 1226*w**4\/3 + 48*w**3 + 1296*w**2 + 2*w. Suppose v(y) = 0. Calculate y.\nAnswer: 1\/17, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3 - 6*a**2 + 4 - 2*a + 7*a**2. Suppose -d = o - 1, -3*o - 7 = -2*d + 5. Let y(t) = -t**3 + 4*t + 3. Let p be y(o). What is b(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5727*t - 641398. Determine k(112).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 299368 and -38.\nAnswer: 299330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -211*o + 207*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -274744 divided by -930\nAnswer: 137372\/465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3414497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five eighths of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 68*3\/18*-3. Let a = p - -34. Solve a = b + 3*b - 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*g - o, -o = 3*g + 2*g - 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1762623215 rounded to the nearest 100000?\nAnswer: 1762600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (0 - 3)) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-6))\/(i\/(((i*i\/(i\/(i*(i**5*i)\/i*i))*i)\/i)\/i)))**(-27\/2)\/(i\/(i**(1\/14)\/i)*i**7)**(-4\/29) assuming i is positive.\nAnswer: i**(-38117\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 894 - 1050 = 0. Suppose -5*w + 656 = 3*n, 0*n + 3*n - 3*w = c. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/2*3)\/(6472\/(-12944))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30939967?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4532 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: What is -1523030 divided by -4?\nAnswer: 761515\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 51, 80, 109?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 8. Let i = -44 + 311\/7. Let w(m) = -9*m - 23. Let j be w(-3). Put i, j, s in decreasing order.\nAnswer: j, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 10. Let m(q) be the first derivative of -5*q**4\/4 + q**3\/3 - q + 2. Let p be m(j). Solve -p*r - 20 = 0, o + r = -4*o - 19 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1773 and 5319.\nAnswer: 5319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11625\/(-125)*4\/6\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -32)\/((-21)\/(-28)). Suppose -3*m = -5*i - 0*i + a, -19 = -i + 4*m. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-87)\/(-2))\/((-29)\/58). Let n = 91 + k. Solve -5*t - 5 = 4*h + 3, n*h = t - 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 3*o = 0. Let c(t) = t**3 + 7*t**2 - 14*t - 114. Let z be c(-4). Is (542\/14 - o) + z\/(-35) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 2*x**7\/21 + 58*x**6\/15 + 129*x**5\/5 + 223*x**4\/3 + 340*x**3\/3 + 96*x**2 - 295*x. Solve a(f) = 0.\nAnswer: -24, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -2350429?\nAnswer: -5\/2350429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 3*i - 8. Let y be z(-6). Suppose 14 = -4*s + y. Let o = -481\/8 - -60. Is s less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00318654962 to six decimal places.\nAnswer: -0.003187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlavpdppvtta. Give prob of picking 1 l, 1 d, and 1 v.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 32*r**2 - 114*r - 48. Let m(f) = 11*f**2 - 38*f - 17. Let t(c) = -14*m(c) + 5*u(c). Does 22 divide t(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1873 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10266 or 10268?\nAnswer: 10266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1997721709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 51988905 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 36*z**2 - 22. Let s(i) = -5*i**2 + 3. Let j(h) = -6*a(h) - 44*s(h). Let g(o) = 4*o. Let k(c) = 6*c. Let p(l) = -4*g(l) + 3*k(l). Calculate j(p(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -322 (base 9) in base 3?\nAnswer: -100202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(17) + sqrt(68)*6 + sqrt(17) + -2 + sqrt(17) + 1 + (sqrt(136) - -5*sqrt(136)*-1 - sqrt(136))\/(sqrt(8) - sqrt(32)\/(-2*sqrt(4))))**2 + -2.\nAnswer: -70*sqrt(17) + 20828\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -50. Suppose 28 = 4*w - 2*s, -3*w + 11 = 4*s - d*s. Let v = -374 + 377. Sort -4, w, 0, v in increasing order.\nAnswer: -4, 0, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 4:11 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 38 = 4*g, 5*q + 5*g + 37 = -38. Is 4\/q - 2893\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 37569?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53)\/((-159)\/126)*(-1)\/(-2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1555 + -825. Round v to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 141*z = -12*z. Factor 0*o + z + 0*o**2 - 1\/3*o**3.\nAnswer: -o**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = -3*r - 49*p, -73*p + 141*p - 10 = 2*r + 70*p for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30091*v**3 - 30088*v**3 - 30011*v**3 + 120274*v**3 - 30086*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 879*t - 31 = -n + 884*t, -3*n + 5*t + 23 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-78) - 36\/273?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 11 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4733289257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*j**2)*((-1 - 2*j + 1)*(j**2 - 2*j + 2*j) + 0*j**3 - j**3 - j**3 - 8*j**3 - 5*j**3 + 5*j**3).\nAnswer: -36*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/72)\/(18\/(-81))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 3*a - 30, 130*m + 50 = 129*m + 5*a for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 + 249*w**2 + 486*w + 240.\nAnswer: -3*(w - 10)*(w + 1)**2*(w + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2872721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 8451*t + 14797676. Determine h(-1751).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -7c6d3e?\nAnswer: -7c6d3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 355105111 (base 6) to base 2.\nAnswer: 11001011111000010000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/4)*w*w)**(-50))**37 assuming w is positive.\nAnswer: w**(-10175\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqpssqsqsqsqqqqsqqsq. What is prob of sequence psqq?\nAnswer: 22\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*(sqrt(360) + sqrt(360) + 2*sqrt(360)))\/((sqrt(96) + sqrt(96)*-1 - sqrt(96))\/sqrt(12)).\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 596015575 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 603963 and 9.\nAnswer: 603963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 0*d**2 - 2\/15*d**3 + 3\/100*d**5 - 1\/15*d**4 + 2\/75*d**6 - 3*d + 1\/210*d**7 + 0. Suppose o(p) = 0. Calculate p.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 257 + -131. Calculate the greatest common divisor of i and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3749 and -179775?\nAnswer: 183524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.3603, 4 in decreasing order.\nAnswer: 4, 0.3603, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 31*q - 36*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4 = -19. Suppose -3*k + 373 = 5*o, -3*k + 2*k + 143 = -j*o. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, l: 4, y: 2, c: 2, v: 4, u: 1}. What is prob of picking 2 y and 1 u?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-27))\/((-8)\/(-12)*26\/(-65)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -10297 < -7757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-9) - 5\/3. Let z be (-256)\/4*1437500\/l. Suppose z = -3*f - 2*f. Round f to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2, 0 in decreasing order.\nAnswer: 0, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/51 less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-2))\/(-6 + 3). Let v(k) = 8*k**2 - k - 4. Let a be v(t). Put a, -0.4, -5, -0.5 in ascending order.\nAnswer: -5, a, -0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 218 - (3 - -1)\/(-2 - -3). Let k = -90 + a. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - b - 8409 = 0, 2*b + 1366 = -2*q + 5558. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24.4 - 24. Which is the fourth biggest value? (a) u (b) 1\/6 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -2)*(-2 - (-15)\/10). Solve -5*f - c = 2*m - 15, -2*f = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*v**5 - 70174*v**4 + 852490547*v**2 wrt v.\nAnswer: -1680*v**2 - 1684176*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u. Let x(w) be the first derivative of -w**3\/3 + 33*w + 7. Let a be x(u). Solve g + 3*j = -13, 0*g + 5*j + a = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1795975.\nAnswer: 5, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + (-6 - 0) + 4318081. Let y be 2\/(-2)*-1 + 1118078. Let p = c - y. Round p to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/18*(-5 - -5). Suppose 0 = -d*k - 3*k + 9, -9488988 = -3*g + 4*k. What is g rounded to the nearest one hundred thousand?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 1:59 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -2 + 0 - -4. Let t(o) = 5 - l*o - 5. Let w(n) be the third derivative of -n**4\/24 + n**2. Calculate t(w(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*b = -82, 3*c - 202 = -3*b + 2*b. Suppose -762 = 403768*n - 403774*n. Calculate the remainder when n is divided by c.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2032 by -4.\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89 + 94 + 31 - 5*r + 2*r**2 - 63 - 14 to z*r**2 + j + c*r and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(22)\/sqrt(2)) + -5 - (-5 + (sqrt(11) - (sqrt(11) + 1))*-2).\nAnswer: -2 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3170 is divided by 153?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2) + 1 + 0 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*z**3 + 5*z**2 - 1100*z wrt z.\nAnswer: -132*z + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 5*n - 6. Let v be z(6). Solve v = -3*i - r - 7, -18 = 2*i - r - r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1652 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -6. Let b be 2*(1 - 3)\/4. Suppose -2*m + 2*t + 0*t = -2, -3*m + 4*t + 7 = 0. Sort b, m, o.\nAnswer: o, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51594511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -7b?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from {e: 4, f: 2, j: 1, l: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3129 = 5*g - 3*v - 3119, v = -3*g - 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -11\/2*w**2 + 104*w + 0 + 5\/6*w**4 - 11\/6*w**3. Let i(j) = -3*j**2 + 4*j + 4. Determine -11*i(x) - 4*o(x).\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (111 - 10) + -98 + 55?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-4)*8\/(-6). Suppose q*t - 81 = 7*t + f, t - 5*f = -11. Let w = t - -27. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 38.216, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r = -12*r + 2*w + 27, 0 = -2*w - 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 - -7?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 132086331 + 0?\nAnswer: 132086331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 20 = 3*u + 11, 3 = 3*u + s. Let y(k) be the third derivative of 37*k**5\/60 + 5*k**3\/6 - 3*k**2. Does 17 divide y(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/sqrt(44) + 1*sqrt(13) + 4.\nAnswer: 4 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 151.2359 * 1.66\nAnswer: 251.051594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10546732 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**4\/12 - n**3\/3 + 3*n**2. Let s be ((-4)\/(-3))\/(1\/3). List the prime factors of c(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 2*a + 3. Let c be ((-24)\/16)\/(1*(-1)\/4). Suppose j + 2*f - c = 0, -j + 6*f = 3*f + 9. What is h(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -506, -1142, -2036, -3188?\nAnswer: -4598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llk. Give prob of sequence ll.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.98 + -0.02. Let k = -11.6 - o. Let d = -5.01 + 0.01. Which is the third biggest value? (a) k (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**2 + 4158*j + 616604 = 0?\nAnswer: -139, 2218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3749 + -2829. Sort 2, 0, a in decreasing order.\nAnswer: a, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 1:23 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -349 + 61. Let 5*y**3 + 13 - 81 - 45*y**2 + 39*y - 67 + r*y = 0. What is y?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 2556.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**2\/2 + q + 7. Let a be (0 + 3)*(2 + 1). Let j(x) = 3*x - 3. Let p(g) = a*i(g) + 4*j(g). What is p(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1591.2 and 285.\nAnswer: -453492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a factor of 131383840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195525?\nAnswer: 3, 5, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 14.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrq when three letters picked without replacement from {l: 1, m: 1, q: 3, h: 3, r: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16617 = 14*a - 11*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5832 is divided by 364?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69 + 63. Let b be ((-16)\/(-10))\/(l\/(-45)*3). Let -316*q**2 - 6*q**b + 4*q**4 + 310*q**2 - 8*q + 0*q**4 + 8*q**3 + 8 = 0. Calculate q.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 509937?\nAnswer: 3, 43, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.013 + 6.687. Round h to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 2)\/((-2)\/(-1)). Suppose -4*t + 5 + 7 = j. Suppose -4 = 4*o - 3*c + 25, 0 = t*c - 9. Let x(z) = z**2 + 5*z. Give x(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/2 - -2)*-1. Let n(c) = -5*c - 7. Let f be n(y). Sort 0, 4, f in descending order.\nAnswer: f, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 4*d**2 + 4*d + 3. Let r be v(-3). Let l(u) = 0*u - u**2 + r*u. Let h(y) = -2*y. Let m(b) = -2*b. Let o(c) = -6*h(c) + 5*m(c). What is l(o(k))?\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600 = -1294*m + 1314*m for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from {w: 1, b: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 78510273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/3)\/(-5 + 322\/63). Sort 5, 2\/21, i in increasing order.\nAnswer: 2\/21, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -2, 3801, 0.1, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -772485.33\nAnswer: 386242.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(1 + 84\/(-87)). Let a = t - 21. What is the remainder when a is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from aacahhkccchaa.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5234 - 342?\nAnswer: -10020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10869.74 millennia to years.\nAnswer: 10869740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 575 and 3778325.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5314879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 242202 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, m: 5}. Give prob of sequence mmmn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4 + 76*h**3 + 252*h**2 + 260*h + 88.\nAnswer: -4*(h - 22)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 423.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.5543 and -12.\nAnswer: -102.6516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6852 and 336.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-246)\/1845 - (-497)\/15. Calculate the highest common factor of r and 1386.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -237*f**2 - 716*f - 4. Calculate the remainder when 5054 is divided by p(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/79800 and 111\/29260.\nAnswer: 877800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -7 + (3 - 2 - 0) + -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -325031 > -324986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 557263, 557262, 557261, 557260, 557259, 557258?\nAnswer: 557257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25 + 29*c - 35 - 78*c + (-4 + 4 - c)*(0 - 10 + 4).\nAnswer: -43*c - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*z - 2*z + 5*z)*(-6*z**2 + 3*z**2 + 5*z**2) + 23*z - z**3 + 2*z**3 - 21*z + 26 to v*z**2 + x*z + g + r*z**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 12:34 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -5*o + 2. Let g be 1*((-28)\/o + 3). Solve 2\/3*m**4 + 0*m + 0*m**2 + 0 - g*m**5 + 0*m**3 = 0 for m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 42) + 1848\/84\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5495*l - 3103*l - 2393*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 523 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 13*x**2 - 5*x - 61. Calculate o(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 - 163. Let j be (-19650)\/4*(-395200)\/k. Round j to the nearest one hundred thousand.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 11 - 5)*(-45*p + 3*p - 2*p)*(-2*p + p - p).\nAnswer: 792*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 13*y**2 + 2*y - 6. Let m be (1 + 8\/2)\/1. Suppose 0 = -m*c + 50 + 15. Does 2 divide z(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (62\/(-2480))\/((-6)\/3 - 2). Let x(l) be the third derivative of -5\/64*l**4 + 0*l + 0 + z*l**5 - 3\/8*l**3 - 11*l**2. Suppose x(y) = 0. Calculate y.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (8 + -15) - 29.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*q - 3*t, 4*t - 5 = -3*q - 2. Let r(n) = -6*n**2 + n. Let l be r(q). Let d(h) = -h**3 + 3*h**2 - 4. Let f be d(3). Put f, 3, l in ascending order.\nAnswer: l, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(833) + 3 + sqrt(833) - sqrt(833)))**2 + (4 + 1 + sqrt(833))**2 + -2.\nAnswer: 84*sqrt(17) + 1690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4 + 2\/3*m - 1\/12*m**2.\nAnswer: -(m - 5)*(m - 3)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 2. Let p = 128 - 127.8. Which is the third smallest value? (a) -1\/3 (b) p (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8c (base 13) to base 16.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and 12130343369?\nAnswer: 12130343369.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 2*m**3\/3 - 2624*m. Let r(h) = 2*h**2 - 11*h - 3. Calculate r(t(l)).\nAnswer: 32*l**2 - 44*l - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**5\/60 - 7*g**4\/12 + 4*g**3\/3 - 2*g**2. List the prime factors of b(-7).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + 0 - -2 - 3. What is the third derivative of 45*g**4 - 94*g**p + 34*g**2 + 42*g**4 wrt g?\nAnswer: -168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -450*b*i**3 + 8037891*b*i**2 + 31777*i**4 wrt i.\nAnswer: -2700*b + 762648*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*s = 113*s - 3720 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05002298 rounded to 4 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.24682cm in meters?\nAnswer: 0.0224682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 75 (b) -16 (c) 4\/9 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -3423 and 61.\nAnswer: -3362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -21*i**3 + 9*i**2 + 5*i - 3. Let a(t) = -2 + 4*t - t + 5*t**2 + 2899*t**3 - 2910*t**3. What is -5*a(y) + 3*h(y)?\nAnswer: -8*y**3 + 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -35*a**2 - 29*a + 2. Let u(q) = 5*q**2 + q - 1. Calculate h(o) + u(o).\nAnswer: -30*o**2 - 28*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1578739 is divided by 54.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from youqyoa. What is prob of sequence oy?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z - 7*z + 2*z + z - 39*z**2 in the form n*z + a + t*z**2 and give t.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 20002000101213?\nAnswer: -20002000101213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**3\/6 - 3*c**2\/2 + 3*c. Let u be f(4). Sort -5, 0, u.\nAnswer: -5, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -541592, 17 in ascending order.\nAnswer: -541592, -2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -16. Let p(w) be the second derivative of -11*w**5\/20 + w**4\/6 + w**3\/3 - w**2 - w. What is the tens digit of p(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.6 and 22?\nAnswer: 26.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -5 (c) 0.011 (d) -2 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -115, -2\/11, -0.52, 39?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 119960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 441 divide 12069729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -12. Which is the smallest value? (a) -5 (b) 3\/4 (c) j (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (11 - (-2 + 8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven eighths of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76.7 - -76.78. Put 2\/11, -0.2, 1, r in ascending order.\nAnswer: -0.2, r, 2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/(-550))\/(1*(-3)\/(-5))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 848 by 2.\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 13532940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.131 times 1458?\nAnswer: 190.998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*o - 3*i + 48, 5*i - 28 = -3*o. Suppose o = -50*l + 54*l. Solve -100 - 140*a - 14*a**3 + 7*a**4 + 10*a**4 - 69*a**2 - 18*a**l = 0 for a.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o - 1. Suppose -12 = -4*h + 4. Let b(t) = 4*t**2 - 3*t - t + h - 6*t**2 - t**4. Let j(a) = b(a) + 4*q(a). Find the third derivative of j(g) wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(325) + 0.\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2.8, -1, 20, -2\/5, 0.1?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2839 + -2004. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2\/7 (b) 4 (c) 60 (d) -5 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 348*i + 7. Let c(o) = 393*o + 2. Determine h(c(y)).\nAnswer: 136764*y + 703","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2 + 348*n + 350 = 0. Calculate n.\nAnswer: -1, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1314975.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89 - -37. Let l = 106 + i. Let v = l - 49. Which is the closest to 1\/7? (a) -1\/8 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 6*v - 666631 + 666631. Let l(j) = -57*j. What is z(l(x))?\nAnswer: 399*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 11:38 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a + 3 + 3*a + 2*a. Let x be y(-2). Let j = 155 + -152. Put j, x, -5 in descending order.\nAnswer: j, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1 + 0 + 4 - 6*c**2 - 4*c + 7*c**2. Let b be y(3). Solve 5*u = -b*u - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1623 + -3307\/2. Calculate the common denominator of 85\/18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((16\/(-328) + 6794\/(-5289))\/(20\/(-6)))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*m = 19855, 4*m - 3553 = 5*c - 36675. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/519 + -1004\/8823. Is 91 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-52 - (0 + -1)) + 32 + 55 + -32 + -54\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40399*c*j**3 + c*j**2*u**2 - 40*c*j*u**3 + 4*c*u - j**3*u**3 - 40*j**2*u**2 wrt j?\nAnswer: 242394*c - 6*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s = -2*s + 18*n - 16*n + 406, -3*s + 4*n = -87 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18093626 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*s - 57*s + 33*s + (4 - 3 - 3)*(-3*s + s + s) + 0*s + s - 2*s.\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1.8 (b) 2 (c) 1\/5 (d) -2 (e) 11\/4 (f) 2\/9 (g) -0.85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -37311 (base 8) in base 5?\nAnswer: -1003243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -285334259*r**2 - 124045346.\nAnswer: -570668518*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlmmllmmmhlmhlhllhml. What is prob of sequence ll?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001768 to 7 dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 3*q - 912, -o + 168 = -5*q + 484. Let v = -296 - o. Solve v*s - 20 = 0, 2*s - s = b + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2 = -w. Let i = 6 + w. Solve -2*l - u = l + 12, -i*l = 4*u + 27 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(15\/5) - (-4 + 2). Factor 0*t + 0 + 1\/4*t**5 + s*t**3 - 1\/4*t**4 + 0*t**2.\nAnswer: t**4*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 11*y**2 + 11*y + 12. Let l be q(10). Let d = -21 + l. Solve -d + 4 = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 478*o - 481*o - 3*p, 2*o = 2*p - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19b1147 (base 12) to base 10.\nAnswer: 5455495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-44)\/a**27*a**(-14)*a*a*a**44 assuming a is positive.\nAnswer: a**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -812360 (base 10) to base 13\nAnswer: -2259b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1297812 divided by -1369.\nAnswer: 948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/3 - (-42)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(114)*1)\/((sqrt(66)*-1)\/sqrt(11)) - (sqrt(152)\/(-2*sqrt(4) + sqrt(4)) + sqrt(38))\/(sqrt(32)*-2))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05665362 to 4 dps.\nAnswer: 0.0567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*n = -n + 3, -w + 5*n + 9 = 0. Let p be (w - 0)\/((-34)\/(-4)). Let i = -13\/34 + p. Is -2\/7 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v - v - v + (1 - 5 + 5)*(7*v + 8*v - 8*v).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/27)\/(16492\/(-3591)))\/((-3)\/(-18))?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/35*(-81)\/4131*18\/(-1512)*-98.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24\/7 or -5121\/4?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1125995615 to the nearest integer?\nAnswer: 33556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 18\/5, 7, -0.5, 4\/3, 20\/13, -5\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, z: 10}. What is prob of picking 2 z?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 5*v - 10, -266*u - 267*u = -4*v - 529*u - 28 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 239 and 2070457?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by (6\/(-3) + 34\/6)*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 2)*299\/(-13). Suppose c = -3*x + m, -2*c - 4*x = x - 96. Is 24 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 12*t**2 + 13*t - 16. Suppose 0*x - 2*x = n - 8, 5*n = -3*x + 26. Calculate the least common multiple of q(11) and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -28*w**2 - 1856*w - 528 = 0.\nAnswer: -66, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -244 - 240 + 716 - 243 - 92*v in the form l + s*v and give s.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -4. Let a be (6\/p)\/(1\/(-2)). Solve a*i + 8 = -1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -20. Let s be (-4900)\/(-260) + -19 + 4\/26. Put 3, s, 6, h in ascending order.\nAnswer: s, h, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 81556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 5. Let j be z + 2\/(-2) + 1. Let o be 5*j*(-3)\/1. Round o to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 14*v + 8 = 12*v, -2*t = 4*v. Suppose 0 = t*p - j - 76660, 5*p = 3*j - 6*j + 95825. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -2. Suppose 0*i - d*i - 2*z = -41, -3*z + 70 = 5*i. Suppose 5*v - 11 = 2*c - 0*c, 0 = -3*v - 4*c + i. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -3, 0, 16, -323, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 5, f + 8 = 2*r - 7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -284992288*x**3 + 991761*x**2 + 7*x wrt x.\nAnswer: -1709953728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/3012918 and -71\/20392.\nAnswer: 12051672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -50, -56, -64, -74, -86?\n\"Answer: -i**2 - 3*i - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5168108 = 6*d + 2*g, -861355 = -130*d + 129*d - 4*g. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 0*q + 2*q)*(q + 1 - 1 + (-3 + 3 + 2*q)*(-6 + 6 - 5)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (196\/(-28) - -6)*3\/(-3). Which is the closest to 0? (a) s (b) 4 (c) 7\/6 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-17)\/4)\/(4\/16). What are the prime factors of ((-140)\/(-6))\/((-1)\/g*-3)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 8 = 3*i + 6*z, 5*i = -4*z + 9. Let q = 0.9 + 0.1. Let y = 7.7 - 7.3. Which is the closest to q? (a) y (b) 0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 15*q**3 - q**2. Let w(k) = k**3 + 6*k**2 - 12*k - 36. Let h be w(-7). What is b(h)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1596161 - 8*v - 1596161.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -3\/8, 5.\nAnswer: -3\/8, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5682 is divided by 98?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l + 19 - 13*l - 7 - 5*l - 17 to d*l + z and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/10840 and 21\/10840?\nAnswer: 10840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -9365*t + 9351*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 211041*o - 5487067. Calculate z(26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 1. Let w(k) = -2*k + 1. Give -4*j(p) + 4*w(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -11*d - 1. Let t = -265 + 269. Give q(t).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 9*w**2 + 6*w - 10. Let d be r(-7). Let p = d - 64. What is the units digit of p\/45 + 94\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -a?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1679 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -2. Suppose m + g = 5*b, 2*b = -m + 3*m + 10. List the prime factors of b*-1*230\/(-30).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 + 49. Let j be (-2 - o\/5)\/(6\/(-30)). Suppose -h - j*t + 24 = 65, -3*h = 4*t + 131. Round h to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 22 + 28 = 0. Let u(j) = j - 7. Calculate u(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-162)\/(-5) + 2\/(-5). Let g be (12 - 35) + (-2)\/(-2 + 0). Let x = g + u. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**(2\/23)*k**(5\/6)\/k**(-6)*(k*k**(1\/3)\/k)**47\/(((k**2\/k)\/k)\/(k\/k**6)) assuming k is positive.\nAnswer: k**(801\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19\/2 - 193\/20. Suppose -3*u + 4 = 2*s, u + 1 - 5 = -2*s. Suppose 2*m - s = 5*w + 9, -w - 4 = -m. Which is smaller: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105\/454 + 2903\/8626. Let a be 180\/(-95) - (0 + (1 - 3)). Let z*p**3 + 10\/19 - a*p - 10\/19*p**2 = 0. Calculate p.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4745347 and 4745347 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -776, 145, 24.\nAnswer: -776, 24, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 21*d**2 + 85*d - 53. Let p be b(16). Solve 163 = p*w + 28 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100695056 to the nearest integer?\nAnswer: 10035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5213 - 26064\/5. Suppose -1\/5*y**2 + 0 - 1\/5*y**3 + 1\/5*y + r*y**4 = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 - ((48 - 33) + -9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -5*o**4\/48 + 53*o**3\/24 + 11*o**2\/4 + 51*o. Factor s(l).\nAnswer: -(l - 11)*(5*l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-18)*-9*96\/(-60)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.21558 - 0.31558. What is the third biggest value in -42, -0.4, 5, 1\/16, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 9960?\nAnswer: 9962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 9*n + 10. Let z(u) = 2*u + 26. Let x be z(0). Suppose -4*m - x - 2 = 0. Determine w(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*o - 27*o + 30. Suppose o + 4 = 3*c. Sort c, 3\/7, 2\/17 in descending order.\nAnswer: c, 3\/7, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/(-15))\/(2\/(-12)) - (-126)\/(-21)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121220 + -2122102?\nAnswer: -1000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16792086?\nAnswer: 2, 3, 19, 147299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16643 * 8022\nAnswer: -133510146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - (-2 + 0 + 4). Differentiate -22*w + 10*w + 26 - p wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-18)\/(-30))\/(1\/10). Let k be (6 - a) + (0 - -1). Suppose 24 = -5*s - k, 0 = n + 3*s + 2. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**4 + 706*z**3 - 1393*z**2 - 10560*z = 0.\nAnswer: -3, 0, 5, 704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 655 - -1a8?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.126 (b) 15951 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -6. Suppose -10*f + 15402 + 10388 = b. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -872*s - 1180. What is the units digit of j(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32\/5, -2, 0.1 in decreasing order.\nAnswer: 0.1, -2, -32\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 + t - 1. Let d be u(1). Suppose -d*p = p. Solve p = -s - 2*m + 4, -2*s + s + 4 = -2*m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h + 396 = -31*h. Let y = h - 111. Let i be (y\/(-10))\/((-2)\/(-40)). Solve -f + 4*g = 23, 0*f - 3*f + 3*g = i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 54342?\nAnswer: -54346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w**2. Suppose 69*y = 282 + 201. Let j(v) = v**2 + 0*v**2 + v**2. What is y*j(g) + 3*d(g)?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9*v**3 + v**2 - v + 1. Suppose -y + 4*y + 2*q = 11, -5 = -y - q. Determine x(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-1) - -1 - -7. Solve -x + n*x = -12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -a25?\nAnswer: a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1713, -1628, -1399, -954, -221?\n\"Answer: 12*f**3 + f - 1726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -2\/11, 0, -22.329, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 8 + 23 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 - 4*q**3 + 4*q + 23*q**3.\nAnswer: 17*q**3 + 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*h = -168*h + 4272000. What is h rounded to the nearest 10000?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 3) + (8 + -11 + -10 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240985291.\nAnswer: 277, 869983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*5*sqrt(85) + sqrt(85) - ((-1*1*sqrt(85) - sqrt(85)) + sqrt(85) + sqrt(85)))\/((-1*sqrt(8640) - sqrt(8640))\/(sqrt(48)\/(sqrt(4)*1))))**2.\nAnswer: 833\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1348 by -4.\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 27*l**2 + l. Let p(y) = -y**3 + 23*y**2 + 2*y. Give -3*c(d) + 4*p(d).\nAnswer: -7*d**3 + 11*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3 - 1. Let z(g) = -9*g**2 - g + 1. Let k be z(j). Which is bigger: k or -8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) -5 (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1531632 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*(-4 + 2*sqrt(176) - sqrt(176) - sqrt(176)))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5562912566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*z - 7 = 0, z = 4*y - 0*y - 9. Suppose 2*m + 3*r - 262 = 0, y*m - r - 241 = 21. Suppose 0*p = p - m. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 11.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -157\/2 + 80. Sort -4, f, 5 in decreasing order.\nAnswer: 5, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001926443 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/5 (b) 6\/11 (c) 159 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 383\/4 - (-32 + (-14732)\/(-464))?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 57492*z + 172474. Give t(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3888\/19 or 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 917498*f**2 - 4*f. Let j be m(-2). Round j to the nearest 100000.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64261787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*q**4 - 1278*q**3 + 27555*q**2 + 5562*q = 0. Calculate q.\nAnswer: -103, -1\/5, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -3*i**2\/2 - 11*i - 2519. Calculate t(6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**3 - 7*b**2 + 4*b - 1. Let s(y) = -y**3 + y**2 - y. What is -l(a) - 2*s(a)?\nAnswer: -3*a**3 + 5*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 + -120. Let h be g*((-46)\/10 - -1). Calculate the highest common factor of 28 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -1708*l - 4*l**2 + 1708*l. Let z(f) = 28*f**2. Calculate z(t(d)).\nAnswer: 448*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 (base 9) in base 8?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 637074, 637073, 637072, 637071, 637070, 637069?\nAnswer: 637068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(1 + -4) + -4. Let n(z) = z**2 - 13*z - 19. Let m = -4 - -18. Let s be n(m). Which is smaller: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360 and 11584350?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 0*z - 1\/6*z**4 - 7 - 7\/6*z**3 - 6*z**2. What is q(7)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 1\/3, 3, 1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-3 + (-9)\/3)\/((-26)\/65) and 81.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1683 - -697.6683. Let z = m - 568. Let y = -85 + z. Round y to 0 dps.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((-44)\/(-8) - 4). Suppose 96 = 5*g - r*g. Suppose 3*b = b, -2*b = -4*k + g. Solve -2*f + 4*f = k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.093 - -4.907. Let j = -11\/10 - -13\/5. What is the smallest value in j, -0.5, 0.2, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 12.44528kg?\nAnswer: 12445280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000040356823 rounded to six dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363998921.\nAnswer: 11, 13, 2545447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**3 - 863*t**2 + 3424*t - 98. Determine x(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*d**3 + 2830*d**2 + 668332.\nAnswer: 81*d**2 + 5660*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30463321 - 12*v**3 + 0*v + 0*v + 30463321.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -206 + 316. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*t + 436*t - 232*t.\nAnswer: -25*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 + 69. Suppose 3*b - n = -b. Calculate the highest common factor of 45 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-49 - (-34 + 7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 7*o + 1. Let r be z(11). Let i = -49 + r. Sort 14, -1, -5, i.\nAnswer: -5, i, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.047086 and 0.24.\nAnswer: -0.01130064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 1:08 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 25*m - 4. What is the remainder when o(1) is divided by 9 + -1*(-4 - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -181 - 50. Let j be ((o\/7)\/(-3))\/1. What is the greatest common divisor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + 200120?\nAnswer: 200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 2*h - 988398, h - 302505 = 3*n - 1043806. What is n rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/2 + 2978*x**3 + 4449107*x**2 + 44267970*x + 220968225\/2.\nAnswer: (x + 5)**2*(x + 2973)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 5. Let x(i) = -7*i - 3. Let w be x(-2). Let l(c) = -1 + w*c - 10*c - 2 - 1. What is -4*l(z) - 3*q(z)?\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -12. Let c = 15 + b. Suppose a**c + a**3 - 66*a - 3*a**2 + 64*a = 0. What is a?\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 8 = z, 3*h - 559 + 1115 - 552 = -2*z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 38.99954ml?\nAnswer: 0.03899954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3885 = -5*v + 3*s + 1874, -4*v + 5*s = -4615. Round v to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117 + 51 + -142 - (-184)\/(-7)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b + 20*b - 60800 = 39*b. Round b to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + q - 1. Let a(c) = -3*c**2 - 2*c + 7. Let g(h) = a(h) - 4*y(h). Let l be g(4). Solve l = s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) -7\/11 (c) 0.1 (d) -0.5 (e) -31 (f) -2\/3 (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -545 + 597. Suppose -8 = -22*d - y. Let a(w) = w**3 - 3*w**2 + 6*w. Let g(p) = p**2 - p + 1. Let h(k) = -a(k) - 3*g(k). What is h(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 66 = -s, -4*x + 661 - 304 = 5*s for s.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/7 + 43721721*a**2\/7.\nAnswer: a**2*(a + 43721721)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 617 and 0.17.\nAnswer: 104.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/8? (a) 6\/7 (b) -2\/7 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqtqqqqtqt. What is prob of sequence ttqq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 244373814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 3, -3*b + 4*b = -4*s + 23. Suppose s*i + 16 = 2*i. What is the second biggest value in i, -2\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 3*l**2 - l + 1. Let p be v(2). Suppose 4 + p = s. Suppose 0 = -u + 2 - 0. Solve -s*b + 10 = -u*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 6. Let d be g(9). Suppose 5*o + b - 20 = 3*b, d*o - b - 11 = 0. Solve -o = y - 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + w + 30 + 9, 5*w - 3 = -2*y. Suppose -4*d + y*k = 8*k - 21, -3*k = -4*d + 31. Let b(a) = 5*a - 1. Give b(d).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -480?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 177101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 423753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -802*b + 3549 = -763*b. What is the remainder when 546 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-93)\/(-90) + -1). Suppose -26 = -4*v + a. Find the second derivative of -18*h**2 - v*h**2 + 19*h**2 - 2*h wrt h.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhh when three letters picked without replacement from vhvmmmvvmhmvmmmh?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9162 - 2117060\nAnswer: -2107898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 762*d**2 - 1520*d.\nAnswer: -d*(d + 2)*(d + 760)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 12:10 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c + 5*p - 5, -4*c - 36 = -4*p. Let s(o) = 94*o + 383. Determine s(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -591, -467, -343, -219, -95?\n\"Answer: 124*z - 715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {z: 5, k: 8}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -4*r - g + 28, 3*r + g = 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 11 - (-45 - -110 - 86).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 38\/(-152)*(-2 + -6). Let r(w) be the second derivative of 0 + 26*w - 11\/2*w**d + 9\/2*w**3. Differentiate r(c) with respect to c.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8625*o + 1092*o - 77736 = 0 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 - 35. Suppose y + 25 = 5*h, -5*h + 5 = -2*y - b. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w**3 + w**2 + w**3 - 3*w**2)*(2 + 2 - 3 + 7 - 2 - 3 + (4 - 7 + 4)*(-4 + 6 - 4) + 1 + 4 + 2) to u + x*w + y*w**2 + t*w**3 and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -g - 0*g. Suppose -10*i + 12*i = g. Calculate the greatest common factor of 90 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/4744 and 89\/204.\nAnswer: 241944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 7*i**2 + 8*i + 3. Let o be f(-8). Suppose 34 = -5*m + 4*d - 1, 5*m + o*d = 0. Find the common denominator of m + 0 - 89\/(-14) and -31\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33452282573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, k: 11}. Give prob of picking 2 u.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/9)*n)\/(n\/n**(-2\/9))*n**(-4\/11)\/(n**(-1\/3)*n*n) assuming n is positive.\nAnswer: n**(-89\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeef. What is prob of picking 1 f and 1 e?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -22000 * 0.0069\nAnswer: -151.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11586, -23181, -34776, -46371, -57966, -69561?\nAnswer: -81156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5340*g + 475. What are the prime factors of o(-2)?\nAnswer: 5, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.138442 rounded to three decimal places?\nAnswer: 0.138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -8 + 5 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 - 260*v - 2825. Calculate w(-118).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -6885275486?\nAnswer: -6885275481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114591776 is divided by 1818917.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*h + 9. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6950004.\nAnswer: 2, 3, 43, 13469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c + 70. Determine h(-7).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1042*o - 1682 = 1100*o for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 238.19 * 0.1.\nAnswer: 23.819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 9:47 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 2:52 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -77 (b) -2 (c) -4 (d) -0.758 (e) -3 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -104 - -105. Let d be a\/(2\/28*7). Let s = 2 + -4. Sort 5, d, 0, s in descending order.\nAnswer: 5, d, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -2167665 (base 8) in base 12?\nAnswer: -242b05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 - 10*k**2 + 20*k + 42. What is the tens digit of o(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-6))\/((-4)\/6*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**6\/120 + f**5\/60 + f**4\/12 - f**3\/2 - 5459*f**2. What is q(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 4. Let i be r(-7). Let o = -12.1 - -1.1. Let f = 26094 - 26095. Put o, f, i, -2 in increasing order.\nAnswer: o, i, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(((x*(x\/x**(-11))\/x)\/x)\/x))\/((x**(2\/9)\/x)\/x))**(-3\/10)*(x*x\/(x*x\/(x*x**2)*x))\/(x*x*x\/x**(-3))*x*x**(-2)*x**(2\/15) assuming x is positive.\nAnswer: x**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 829612 divided by -1?\nAnswer: -829612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3173 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.17516 - -0.168. What is p rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*r + 45*r = -6100. Factor -r*c**2 - 8*c**3 + 6*c**3 + 473*c**2 - 3528*c.\nAnswer: -2*c*(c - 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eleven halves of a microsecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = -4*i, 450 = 5*v - 5*i. Calculate the remainder when v - (-4 - -2) - 1 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/8 + 7*m\/8 - 5\/4.\nAnswer: -(m - 5)*(m - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 258*q + 5. What is m(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 16*s - 2*s)*(2 + 3 - 3) - 2*s - 3*s + 0*s.\nAnswer: 25*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 g when two letters picked without replacement from {t: 3, o: 3, g: 4, j: 5, s: 4}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/13 + 22028*l + 1145424\/13.\nAnswer: 2*(l + 4)*(l + 143178)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 143 = -6*i - 5*x, -3*x = -2*i + 127. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4414, -3, 10, 3, 1, 2.\nAnswer: -3, 1, 2, 3, 10, 4414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3762\/132)\/((3*(-1)\/(24\/16))\/4)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8004\/(-14) + 2\/(-7). Find the common denominator of z\/(-12) + 2\/(-3) and ((-50)\/(-4))\/(143\/52).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2. Suppose -10 = -2*a, z + 0*z - 3*a + 13 = x. Let j(o) = -o + 2. Let r be j(z). Is 1 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-396 - -396) + (-2 - 5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 - 5*f**2 + 10*f - 3. What is the units digit of g(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17 + -45?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 2:35 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*j = -5357 + 1277 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 2*z. Let h be k(2). Let x = 9 + -15. Let u be (x\/4 + (1 - -2))*2. Solve -u*v + h*v + 3 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 8*b**2 + 3*b + 4. Let p be ((-15)\/(-10))\/((-38)\/(-44) - 1). Let x(v) = 15*v**2 + 6*v + 7. Calculate p*w(u) + 6*x(u).\nAnswer: 2*u**2 + 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 1 - 4 + 3*z + z**2 + 3*z**2 - 2*z**2. Let n(p) = -5*p**2 - 8*p + 8. Let f be -8 + (-1*1 - -1). Let x = -7 - -4. What is f*l(b) + x*n(b)?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11025, -11037, -11075, -11151, -11277, -11465?\nAnswer: -11727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssrrzssrzrszs. Give prob of picking 1 r and 3 z.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -9, -33, -87, -183, -333?\nAnswer: -549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = -153*c + 160*c. Solve -r = z + 4*r - 15, -2*r = -4*z - c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*4\/8*20\/150. What is the biggest value in 3.1, 2, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 31.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -7. Let j = -5.575 + 3.575. Let z be ((-2)\/(-12))\/(1\/(-2)). Which is the third smallest value? (a) z (b) p (c) 1 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143447 - 21*f**2 + 143777 - 287224.\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -8*t + 1. Let f be ((-3)\/1)\/((-1)\/2 - 1). Let o(j) = 8*j + 14*j - 2 + f*j. Let l(w) = 20*m(w) + 6*o(w). Find the first derivative of l(u) wrt u.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*15\/(-36) - 10\/40.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48168 divided by 4?\nAnswer: -12042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*1 - sqrt(5)) + -2 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**3*q**3 + 786*o**3*q**2*t - 2*o**2*t - 364*o*t + q**3 wrt o.\nAnswer: -6*q**3 + 4716*q**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, d: 1, s: 1, a: 1, g: 3}. What is prob of sequence jsdg?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(243))**2 + sqrt(243) + -4 + sqrt(243) - sqrt(243)) + (-4*(3 + sqrt(243)) - sqrt(243)).\nAnswer: -36*sqrt(3) + 956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d + 19. Let z(q) = -2*q**2 + 7*q - 4. Let l be z(4). Let v be b(l). Solve 8*x**v + x - 14*x + 29*x + 28*x**2 - 4*x**4 = 0 for x.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85130050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 u, and 1 r when three letters picked without replacement from {j: 3, u: 1, t: 5, r: 4, s: 1}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636 is divided by 252?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360 and 1320?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/14*(-1)\/9. Suppose 6*w = 5*w - 2. Let f be (-6)\/w + (-3 - 0). Is j greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1. Let l = -520 + 517.89. Let n = 0.11 + l. Which is the third smallest value? (a) u (b) n (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 0 + 0*d**3 - 1\/16*d**4 + 0*d**2 - 6*d. What is a in r(a) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 - -0.2. Let d(i) = 10*i**2 - 39*i - 2. Let b be d(4). Suppose b = -2*u - 3*z - 11, 2*u - 5*z = 27. What is the smallest value in u, -4\/5, n, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - -0.5. Let p = -9.42 + -0.38. Let v = 10 + p. Which is the third smallest value? (a) v (b) -0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t + 3*t - 2*t + (87*t - 42 + 42)*(1 - 3 + 0 + (-4 + 6 + 0)*(-2 + 5 - 2) + 1 - 3 - 2).\nAnswer: -352*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.01651*-4.\nAnswer: -8.06604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -13*x. Let w(v) = -3. Let d(u) = -u - 1. Let p(y) = -3*d(y) + w(y). Determine m(p(o)).\nAnswer: -39*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from xnzvg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 852784.\nAnswer: 852784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 + (-32)\/6*-3 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -292 at least -316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 631533785\/377204 + 3\/94301. Which is smaller: s or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 51 = 3*b, -2*b - 3*b + 9 = m. Let n = 22 - m. Put 2, -3, n in ascending order.\nAnswer: -3, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a + 487 + 235*a**2 - 488 + 51*a**2 in the form p*a + v*a**2 + q and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkkkkkckccc. Give prob of sequence ckzk.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 20*i**3 - 3*i**2 + i + 166. Let d(t) = -7*t**3 + t**2 - 66. Calculate 7*d(n) + 2*y(n).\nAnswer: -9*n**3 + n**2 + 2*n - 130","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 6 + 1 + (-1 - 2 + 4)*(-2 + 4 - 3))*(4*r - 6*r + r + (-2 - 1 + 4)*(50 - 13*r - 50)) in the form g*r + m and give g.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 4*g = -8, -3*h + 2*g - 7016707 = -7016706 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5617 (base 13) to base 9\nAnswer: 17434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 8*o + 24 = 0. What is the remainder when 9 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -8811?\nAnswer: 8808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*x - 4*v + 2856 = -45*x, 5777 = 2*x - 5*v. Solve x*d = 2885*d + 72 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -7*f - 22. Which is bigger: f or 10?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**3 - 32*u**2 + u - 19. Suppose -250*i - 544 = -2657 - 1887. Calculate f(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/655 and (3\/3537)\/((-60)\/480).\nAnswer: 5895","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, 1538\/225, -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/(-10) - -3 - 44\/(-10)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33637 (base 13) in base 12?\nAnswer: 4601a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6908, -6239, -5570, -4901, -4232?\n\"Answer: 669*u - 7577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 - 62. Let g = -10 + 20. Let j = 1727 + -15541\/9. What is the third smallest value in n, 4, g, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -0.5, -6\/203, 2\/31, 12, 0.5?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 503392351 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 3*b. Let a(k) = -k - 248. Give g(a(d)).\nAnswer: -d**2 - 499*d - 62248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 46\/(-621) + (-984)\/(-162)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(-35))\/((-33)\/77). Which is smaller: j or -1209\/10?\nAnswer: -1209\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11509692.1 rounded to the nearest 1000?\nAnswer: -11510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5678310 (base 9) to base 2.\nAnswer: -1011101011111011010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -661\/3212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 3\/5, 353311, 2\/7, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1\/6, 3584441 in decreasing order.\nAnswer: 3584441, -1\/6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = 3*f + 4*u + 94, -5*u = 2*f + 177. Let k = 191 + f. Suppose -3*m = -101 - k. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75119980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 1230*g - 4929. What is j(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a century in decades?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -949935 = -949932?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -13716609.\nAnswer: 4\/13716609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-1\/2)*b)**(-6)*(b\/((b*b*b*b**11)\/b))**(-32) assuming b is positive.\nAnswer: b**369","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*c - k, 5*c + 4*k - 8 = 7. Is c - (-764)\/2 - 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**0)**(-16))**(-1\/6) assuming r is positive.\nAnswer: r**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/51)\/5*3\/(-234)*-26.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.801 from -232514824.\nAnswer: -232514819.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17503253 to the power of 1\/2, to the nearest integer?\nAnswer: 4184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144839?\nAnswer: 144839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 0\/(-2) - -31459 - -6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 329.10537 - 329.35. What is g rounded to 3 decimal places?\nAnswer: -0.245","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**5 + 70*m**4 - 62*m**3 - 214*m**2 + 344*m - 136 = 0?\nAnswer: -2, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -932 + 1136. Let i(n) = -2*n**2 - 8*n + 3. Let d(t) = 5*t**2 + 23*t - 9. Calculate u*i(w) - 6*d(w).\nAnswer: 4*w**2 - 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**3\/3 - 8*o**2 - 43*o + 3. What is the remainder when 83 is divided by y(-10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**2 + 20*k + 5. Let i be d(6). Suppose -1208 = i*o - 21*o. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 2*d**2 - 8250*d + 24699. Calculate u(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(5) + sqrt(5)*-3) - (sqrt(3) - (sqrt(147) + -4))**2.\nAnswer: -124 + 95*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43.2 - -43.0945. Let y = -7 + 7.11. Let b = w + y. Round b to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*f**2*q + f**2*z + 658*f*q**2*z - 4*f*q**2 - 247*f*q + 2*q*z - 10*q - 5596*z wrt z.\nAnswer: f**2 + 658*f*q**2 + 2*q - 5596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.52, -119, 60 in descending order.\nAnswer: 60, 0.52, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + (3 + -18 - -24).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three fifths of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 - 808 = -8*b. What is the greatest common divisor of b and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - b = 0, 0 = -5*j - 12569*b + 12572*b - 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -55, 1\/3, 2377?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**6\/o))**(-2\/5) assuming o is positive.\nAnswer: o**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 669148*s**2 + 1308952*s**2 - 2 - 639807*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.03, -1\/364, 10\/11?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -62 greater than -2\/98899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4912*-0.00732.\nAnswer: 35.95584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 6) to base 15\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*w + 458, 4*w = 2*u - 0*w - 458. Let i = 480 - u. What are the prime factors of i?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 43 - 11 = 2*p, 0 = -5*p. Let w = 23 + h. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -8. Let y = x - -4. Let p = y + -5.00000268. Round p to 7 dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 534.64, 11 in increasing order.\nAnswer: -3, -1, 11, 534.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2529 (base 10) to base 4.\nAnswer: -213201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a hour in seconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63356002 to the nearest integer?\nAnswer: 7960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + (sqrt(153) - (0 + sqrt(153)) - sqrt(153)) + -2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (5 - 2) - 4\/6. What is the third biggest value in 3\/4, n, -0.3, -10?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + 22 - (-14 - 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10880729 and 2096.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v - 1. Let w be s(4). Let p(n) = -n**2 + 3*n + 2. Let a be p(-2). Let t be ((-10)\/a)\/(w\/20). Put -0.3, t, -1\/5 in increasing order.\nAnswer: t, -0.3, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 20*b**2 - 219*b - 1365. What is a(-27)?\nAnswer: -555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -473.1 - -472. Which is the closest to 2\/11? (a) 1\/2 (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1335789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-399)\/(-28))\/19)\/((-27)\/(-288))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*f = -3*f - 20, -o + 2*f = -7. Let m = -4 + 0. Let z be 1\/(-3)*m*3. Sort o, -3, z in descending order.\nAnswer: z, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 306, 363, 434, 519?\n\"Answer: 7*w**2 + 36*w + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1720.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3*n + 17, 4*n = -4*b + 12 + 16. Suppose -2*a - 3*z + 46 = -27, -z - 153 = -b*a. Calculate the highest common factor of 95 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 68 = -g + 75, 5*g = 2*o - 80 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -163.8043 and -44\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/sqrt(3)*-5 - sqrt(14)) + sqrt(14) + sqrt(126)\/(-4*sqrt(9) + sqrt(9)))\/(-6*(6*-1*sqrt(242) + sqrt(242))).\nAnswer: -8*sqrt(7)\/495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32\/75 - -6\/25. What is the second smallest value in 2\/7, t, 2\/5, -2\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**5\/5 - 41*m**4\/5 + m**3\/5 + 41*m**2\/5 = 0.\nAnswer: -41, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*g = 9919, 4*m - 6453 - 6840 = 3*g. Calculate the highest common divisor of m and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.261684 to two dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.1 + 10. Let i be 6\/(-4)*(-120)\/27. Let c = i + -7. Which is smaller: s or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (81\/12)\/(1\/12). Let u = 102 + -53. Let q = y - u. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -6 + (1 - 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.599964 + -0.6. Round s to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, n: 3, v: 7, p: 2}. Give prob of picking 2 v and 1 j.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -10*h**3 - 4*h**2 + h - 3. Let r(k) = 29*k**3 + 11*k**2 - 3*k + 8. Let x(u) = -8*l(u) - 3*r(u). Calculate x(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47263 and 1208.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.6 + 5.1. Let h = -6.5 + d. What is the second biggest value in h, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.04 + 3.84. Which is the second biggest value? (a) s (b) -30 (c) 5 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) 0.3 (c) 2\/17 (d) 5 (e) 20 (f) -14 (g) 88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 855*j + 2*g - 105 = 850*j - 9, 4*g = 12 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21630 by 42.\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 2 - (7 - 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -z - 2138, 0 = -27*z + 25*z - 4*m - 4266. Let p = -1158 - z. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6648, 25821, 57518, 101739, 158484, 227753?\nAnswer: 309546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1842061063.1168696911 - 1842061063. Let l = 176.1168655711 - p. Let k = -176 + l. What is k rounded to 7 decimal places?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14702 and -1458.\nAnswer: -16160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5000 or -5002?\nAnswer: -5000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 75 = 31. Let i = -82 + r. Solve 6 - i = 4*n + 3*c, 2*c + 7 = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, -53.6, 5, 3\/13, 3 in descending order.\nAnswer: 5, 3, 3\/13, -44, -53.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -4*b - 2, -3*x - 2 = 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -28928118 smaller than -28928116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42209\/5 in 1\/4, 2\/3, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -11465, -2\/253?\nAnswer: -2\/253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2989954 is divided by 691?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*u + 39*u + 1214 + 1366 = 0 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2, 0, 0.099, -0.509?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**3 + 5*l**4 - 3*l**3 - 3*l**3 - l**4 - l**4 + l**4 + 2*l**3 - l**4 - 2*l**3 + (3*l**2 - l**3 - 3*l**2)*(0*l + 2*l + 0*l).\nAnswer: l**4 - l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 217 and 21?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*d**3 + 64 - 64 + 18*d**3 + 17*d**3.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -d + 14. Suppose 0 = -a + a - 3*a. Suppose -5*z + 5 = h, a = 5*h - 0*h - 5*z - 175. Calculate the remainder when h is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7 - 8 + 14 + l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 6\/29, 427, 20\/3 in increasing order.\nAnswer: 0.2, 6\/29, 20\/3, 427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c - 23. Let u(y) = 4*y - 46. Let a(n) = -5*m(n) + 2*u(n). Let p be a(11). Solve -p = 3*o + 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 + 880 - 75 - 4*d**2 + 2*d - 68. Let z be k(0). Suppose u = z - 58. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2*a + 4, -5*a + 1 = -2*g - 12. Suppose g*i - j - 65 = i, 5*i - 65 = 3*j. Find the second derivative of -16*v - 4*v**4 + v**4 + i*v wrt v.\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -10 + 6 + (-174)\/(-14)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 3*g + 30 = 0, 4*z + g - 30 = -5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 217744950 by -75.\nAnswer: -2903266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4563 is divided by 2246.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.1525 + -6.1. Round f to three dps.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8753391131?\nAnswer: 8753391131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20230204 + 1?\nAnswer: 20230205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 153 and 6099?\nAnswer: 311049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(36)\/sqrt(2) + (sqrt(162) + -2 + sqrt(162))**2 - (sqrt(24)\/sqrt(3)*5 + (sqrt(4)\/sqrt(2))**2*-6 + -3).\nAnswer: -64*sqrt(2) + 667","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/1764 and 73\/140.\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4148.6 times -4?\nAnswer: 16594.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.6, 0.1, 4\/2361, -251?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -805 = 56*m + 275 + 264 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*a**5 + 64*a**3 - 9 - 40*a - 39 - 4*a**4 - 75*a**5 - 46*a**3 + 28*a**2 = 0 for a.\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-1)\/361*19.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 13. What is the lowest common multiple of 3 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 19 = 10*o - 11*o, 5*o = 4*m + 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 3*m - 128. Suppose -2*v - 24 = -4*x, 39*v = 43*v + m. Solve -x*i + 5 - 9 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -6*d + 44. Suppose -85 = -8*p + d. Suppose -9 = -3*o - 5*h, 4*o - h + p = 8*o. Solve 3*a - 5*k = 0, 4 = a - 0*a - o*k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -422451216 - -3?\nAnswer: -422451213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 148.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 64722*l - 53053?\nAnswer: 64722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w - 13*w**2 - 11*w + 6*w**3 + 8 - 1. Let k(u) = 2*u**3 - 4*u**2 - 2*u + 2. Determine 7*k(o) - 2*l(o).\nAnswer: 2*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*o**2*p + 2*o**2*r**2 + 135*o**2 + 95*o*p - 2*o + p*r + 2*p - 33368*r**2 - 3*r wrt r?\nAnswer: 4*o**2*r + p - 66736*r - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*i**3*l**2 + 2*i**3 - 784*i**2*l + 24*i**2 - 118163*i*l**4 - 19*i*l + 12*l wrt l?\nAnswer: 20*i**3 - 1417956*i*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20001 + 1?\nAnswer: -20000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20728490?\nAnswer: 2, 5, 601, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5, -29*t - 3*w - 38 = -24*t. Let q be -9 - (-6 - t)*-7. Let y(u) = -3*u**2 - 5*u - 5. Give y(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833 at most 2834?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*i = -2396 + 1541 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7 + 5*r + 7*r - 11*r. Let c(o) = -1. What is -6*c(s) + n(s)?\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 12*l**2 + 2. Let n be t(12). Find the third derivative of 12*w**3 - 7*w**2 - 10*w**2 - 11*w**2 + 24*w**n wrt w.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**3 - 2*y**2 + 5*y - 1. Let v be p(-3). What is v rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220434792 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: 3 + (-2 - -5) + -1 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30799, -61597, -92395, -123193?\n\"Answer: -30798*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -1570*p - 1588. Give c(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, g: 3}. Give prob of picking 1 g and 3 p.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1056797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**9\/w)\/w**(-1\/3))\/(w**(-3)\/(w\/(w*w**(-2\/5)))) assuming w is positive.\nAnswer: w**(176\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*g - 150 = 160*g. Suppose -12 = 5*h + 3. Let a be g\/(-2) - (-1)\/(-6)*h. What is the greatest common factor of 12 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1658 is divided by 118?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.215 and 954.\nAnswer: 205.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*p**4 - 5*p**2 + 221.\nAnswer: -28*p**3 - 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 8 = -x, -3*x + 6*x - 2*c - 4 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 194.6? (a) 3.3 (b) 3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen ninths of a day?\nAnswer: 3040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (52 + -146 + 69).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 586 - -2744. Suppose 6*p = 3*d + 10*p - a, 5*d - 5539 = -3*p. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14739840 divided by 480.\nAnswer: 30708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + sqrt(133)*-2)\/sqrt(7)*-3 + (0 + sqrt(1216))**2*6 + -2.\nAnswer: 3*sqrt(19) + 7294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + c - 789 = -801, 3*c = 5*x + 8. Let y(v) = 13*v**2 - 17*v - 3. Let s(p) = -7*p**2 + 9*p + 2. Determine x*y(h) - 7*s(h).\nAnswer: -3*h**2 + 5*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.05, -5.79, 1\/5, 0.14, -1\/3, 0.9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*q + 10540 = -302*q + 110*q + 203*q for q.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*p - p + 2*p)*(-1 + 0 - 1) + 2*p + 0*p + 2*p + (2 - 2*p - 2 + (1 + 4 - 3)*(-2*p + 2*p - 2*p))*(-1 - 1 + 4) in the form h*p + z and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + c**2 - c + c**2. Let i(x) = -2*x. What is v(i(o))?\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x - 51*x = -402 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 310479, 310477, 310475?\nAnswer: 310473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30144564?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-19383)\/(-44541) - (1 - 8\/14). Is m >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, 3, 0, 48, 20, 2, 1 in descending order.\nAnswer: 50, 48, 20, 3, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 651508765?\nAnswer: 5, 17, 19, 37, 10903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 3)*(5*q**3 - 2*q**3 - 4*q**3) - 5*q**3 - 11*q**3 + 4*q**3.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 47 = 47. Solve -4*v = -h - 17, 9 = 3*v - x*v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + z - 5. Let y(t) = t**2 - 2*t + 10. Let x(b) = -5*n(b) - 3*y(b). Let j(u) = 2*u**2 + u - 4. Calculate -5*j(l) + 4*x(l).\nAnswer: -2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -9*y**3 + 6*y**2 + y - 12. Let z(k) = -2*k**3 - 3*k. Let n(b) = -a(b) + 4*z(b). Calculate n(8).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c + 23. Let s(u) = 8*u**2 - 1. What is the remainder when t(4) is divided by s(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -9*r**5\/10 - 3*r**3 - 2*r. Find the second derivative of s(a) wrt a.\nAnswer: -108*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -8*r**2 + 17*r - 25. Determine p(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 7*a**2 - a - 5. Let s(q) be the first derivative of -q**3\/3 - q - 3807. Give -d(m) + 6*s(m).\nAnswer: m**3 + m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15\/10*3*11\/1518*-4\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2695 divided by 77\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(21408\/(-10702) - -2). Let m be 1\/4 - 5747118\/(-385272). Let a = f + m. What is the common denominator of 58\/9 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 5*z**2 + z + 3. Let k be c(-5). Let l(q) be the first derivative of -2*q**3\/3 + q**2\/2 - 1. Let n be l(1). Which is greater: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(8\/12))\/(318\/53)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 197, 743, 1289, 1835?\nAnswer: 2381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 8272*b + 8274*b + 10, -4*b - 20 = 5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 5*t - 29, 4*i + t + 2 = 6*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*36\/24*1*(-236)\/(-12).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*z - 50*z - 46*z - 52*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 1, -6435, 0 in decreasing order.\nAnswer: 3, 1, 0, -2, -6435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*d**2 - 2101*d + 56253?\nAnswer: -10*d - 2101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -22*o + 4*o. Suppose 0 = 3*m + 3*r - 1245, -m - 406 = -o*m - 4*r. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56893 is divided by 1777.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*f. Let y(s) = -2*s + 16. Let c be y(f). What is the greatest common factor of c and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6505465, 6505617, 6505769, 6505921, 6506073, 6506225?\n\"Answer: 152*j + 6505313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**2 + 1. Let j be m(-1). Let r(u) = -j - u + 0 - 2*u + 4*u. What is r(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 3. Let y = h + 3. Let t(l) = 8*l**3 - 8*l**2 + 3*l + 3. Let q(b) = 9*b**3 - 9*b**2 + 4*b + 3. Let o(v) = -6*q(v) + 7*t(v). Determine o(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -36\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 5*c**2 - 5*c + 8. Let z be y(-5). Let t = -6 + z. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5409715 to three decimal places.\nAnswer: -0.541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4\/9, 0.06, 1 in descending order.\nAnswer: 5, 1, 0.06, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/7 - (-2923)\/259. Which is the closest to 2? (a) 4\/5 (b) q (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51415973?\nAnswer: 7, 17, 432067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-6)*6*(-2)\/4. What is the smallest common multiple of (16\/3)\/(u\/(-24)) and 46?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 817 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8948713, -17897378, -26846043, -35794708?\nAnswer: -44743373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaffffadfaffa. What is prob of sequence dfaf?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 75 = -2*b. Suppose 3*s + 3 - 13 = a, -5*a = -2*s - b. Let -5*r - 1 + 7*r**4 + 13*r**3 - 6*r**2 + 4*r**s - r**5 - 11*r**3 = 0. Calculate r.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + a - 19 = 0, -2*p = -2*a + 4 + 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k. Let j(g) be the second derivative of -g**6\/360 - g**4\/6 - 4*g. Let o(n) be the third derivative of j(n). Determine o(i(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 365.27165 and 0.\nAnswer: 365.27165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/((-8)\/6)*-1. Let y = 92 - p. What is the remainder when y is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(378) - (sqrt(378) + sqrt(378)*2)*3) + sqrt(378))\/(sqrt(36)\/(sqrt(6) + -2*sqrt(864) + sqrt(864))))**2.\nAnswer: 373527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 959 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/13 - 277745532*n**3\/13 - 12857096757660504*n**2\/13 - 198388954385105097714896*n\/13.\nAnswer: -2*n*(n + 46290922)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(6)*4 - sqrt(48)\/sqrt(392))\/(sqrt(3) - (sqrt(3) - (sqrt(3) - sqrt(21)\/(sqrt(7) - sqrt(252)) - sqrt(3))) - -1*sqrt(9)\/sqrt(3)).\nAnswer: 695*sqrt(2)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**2 + 2024*h + 2023 = 0.\nAnswer: -2023, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 263214 by 42.\nAnswer: 6267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (7075\/1132)\/((15\/(-8))\/(-3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mykl when four letters picked without replacement from ymykvmlz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4943281621?\nAnswer: 4013, 1231817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 2*o**2 - 4*o - 1. Let n = -16 + 22. Suppose n*k - 3*k = y - 20, -2*y - 15 = 5*k. Suppose 2*z - 1 - y = 0. Determine c(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) - (-2 + sqrt(1377) + -1))*-6)**2 + (-4 + sqrt(34)\/(-1*sqrt(2)) + sqrt(544)\/sqrt(2))**2.\nAnswer: -24*sqrt(17) + 493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -29. Let p(b) = -2*b**3 + 7*b**2 + 45*b + 72. Let d be p(-9). Suppose f*g - 12*g - d = 0. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + -10 - 5 - -8.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(3\/139) - 4\/4. Let f = y + 140. Suppose 2\/3*h**2 - 2\/3*h**4 - 2\/3*h + f + 2\/3*h**3 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 11*f + 72 + 80, 2470*v = 2468*v - f - 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t - 14*t - 377684 = -4*v, -94421 = -v - 2*t. Is v 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 -2*g*o**4*y - 3*g*o**2 + 20*g*y**2 + 2217*o**3*y**2 + 7*o**2*y**2 wrt o?\nAnswer: -48*g*o*y + 13302*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 6, 2*k + 64 = 4*k - 4*l. Let f(r) = r + 3. What is the remainder when k is divided by f(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 - 138 = k. What is the tens digit of (2\/(-3))\/(k\/((-1641)\/2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b - 66*b + 172023 = 0. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 9*c + 259. What is the remainder when n(-10) is divided by 33?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 21 - 3. Let p be 1*2 + h\/3. Solve -3*d + 6 = -3*z, -z + 4 = -p*z - 4*d for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -591*x + 292*x + 3996 = -151*x for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5 = 5. Suppose -o - 2 = -5*c + 7, -5*c - 55 = -5*o. Suppose p = o + 17. Solve r*l = 5*z + p, 4*l + 6 - 27 = z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/5 + 72*m**2\/5 + 1344*m\/5 + 5632\/5.\nAnswer: -(m - 88)*(m + 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -48*k + 35. Let t be v(13). Let u = t + 1326. Suppose 0 = i + d - 147, 5*i + 0*d = -3*d + u. List the prime factors of i.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -124355 + 31180.\nAnswer: -93175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 3845 = 320. Suppose u = -5*x - 223, -2*x + 7*x + a = -5*u. Let q = 43 - 86. Which is smaller: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*r. Suppose r = -j + 5*j - 20. Solve -j*d - 15 = -4*w + 5, -d - 4 = 2*w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 10*s + 4 - 25*s + 0. Let o(b) = -4*b + 1. Give 22*o(f) - 6*w(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00038184 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**6\/180 - i**4\/24 + i**3 - 3. Let z(a) be the third derivative of c(a). Differentiate z(b) with respect to b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/18432 and -25\/768?\nAnswer: 18432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-21)\/(-14))\/(-1 + (-51)\/(-48)). Suppose 6*d = 12*d - f. Solve -16*j + 12*j = -d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44 * 0.1964342.\nAnswer: -8.6431048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3307? (a) 55 (b) -0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1525\/136791 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*s - 14, x - 109 + 97 = s. Sort 1, s, 3.\nAnswer: s, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -412008 + 7.47\nAnswer: -412000.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13524 and 1449?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -4 - -1) + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*r - 2*d, -2*d - 5 = r + d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(12\/3))\/(((-1236)\/32)\/103)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*q**5 + 27*q**5 + 56*q**5)*(-4 - 6 + 4).\nAnswer: -276*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*(sqrt(20) + sqrt(140)\/sqrt(7)*-5 + -2)*4)**2 + 4 + 2.\nAnswer: 2048*sqrt(5) + 20742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 5:32 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*g = -583*g + 19522 + 3748 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 223.\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5 - 11 - 12*w**2 - 29*w - 7 - 2*w**3 + w**3. Let p be o(-9). Solve -1\/2*b**p + 0 + 0*b**4 - 1\/2*b + b**3 + 0*b**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 315, 316, 317?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 8) in base 3?\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001001 (base 2) to base 3.\nAnswer: -2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, p: 17}. What is prob of sequence qq?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 330000 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142772 is divided by 992.\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.8 - -0.2. Let w = 5.3 - m. Put 0.4, -0.1, w in increasing order.\nAnswer: -0.1, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 15 + 6*x + 15*x - 47*x + 16*x + 16*x.\nAnswer: 6*x - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + v + 427, c + 0*v - 113 = -v. What is the highest common divisor of 27 and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 6. Suppose -10 = -s + h. Let l(b) = b**2 - 11*b - 5. Is 7 a factor of l(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.007 - 0.493. Put 3, l, -62 in decreasing order.\nAnswer: 3, l, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10101 (base 3) to base 13\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26705?\nAnswer: 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61124, -61183, -61242, -61301, -61360?\nAnswer: -61419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 343248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q - 45 = 35*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*f + 2*y + 128, 0 = f + 5*y - 23. Let q(p) = p**3 - 6*p**2 + p - 3. Let i be q(6). Suppose i*u = 6*u - f. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/79, 1\/7, -2\/7, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -158, 21, 1\/2, -1, 18 in descending order.\nAnswer: 21, 18, 1\/2, -1, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1190552 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 547357?\nAnswer: 547357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -4 - (2 + 9 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + 3*c**2 + 4*c)*(-2 + 3 - 3) + 2*c**2 + c**2 + c**2 as f + n*c + r*c**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 8*m + 10. Let p be k(9). Let o(u) = -u + 1. Determine o(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 5*t + 9. Let r be v(7). Let o be 2\/4 - 25\/90. Which is the nearest to 2\/5? (a) o (b) r (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -7. Let n(u) = -u**2 - 15*u - 98. Let j(y) = n(y) - 6*q(y). Factor j(g).\nAnswer: -(g + 7)*(g + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 12*w + 1. Suppose 0 = b - q + 1 + 1, 5*b = -2*q + 11. Let t = -39 + 43. What is the remainder when s(b) is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(208)*-2 + -1 - (sqrt(208) + -3 + -1*sqrt(208) + sqrt(208) - (sqrt(208) + -3 + -2*sqrt(208))))**2.\nAnswer: 160*sqrt(13) + 3353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 13*v - 11. Let h be g(-12). Let a(x) = -22*x**2 - 13*x + 10. Let z(u) = -15*u**2 - 9*u + 7. Let n(r) = -5*a(r) + 7*z(r). Determine n(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 83, 91, 115, 161, 235, 343, 491, 685?\n\"Answer: d**3 + 2*d**2 - 5*d + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 161.655 times 1428\nAnswer: 230843.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -673 - -37622. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*k - 60 = -3*b, 5*k = 3*b - 68. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13986839 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is c88c31 (base 14) in base 9?\nAnswer: 13682034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**3 + 139*d + 0*d**3 + 1 - 318*d + 130*d to u*d + s*d**3 + m + y*d**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -206 - -383. Suppose -x = 18*a - 21*a. Let o = 55 - a. Put o, -2, -1, 1 in decreasing order.\nAnswer: 1, -1, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(6\/7)*t**(1\/9)*t*t*t**0*(t*t**0)\/t)\/(t*t*((t**(1\/5)\/t)\/t)\/t*t**4*t**(-3)\/t**(-1\/4)) assuming t is positive.\nAnswer: t**(3173\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(350)*1)\/sqrt(7) + sqrt(350)\/sqrt(63))\/((sqrt(80) - 6*(-2*sqrt(80) + sqrt(80)))\/sqrt(8)))**2.\nAnswer: 80\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.4 or 224.18412?\nAnswer: 224.18412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from {i: 10, a: 2, h: 3, g: 5}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1437319 is divided by 95821.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (7\/1 + -227)\/(-9 - (-4 - 1))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14482\/156 - (2 + 13\/(-6)). Is g less than or equal to 93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 15) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -522, 0, -5, -2, -4, 13 in decreasing order.\nAnswer: 13, 0, -2, -3, -4, -5, -522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (905\/14118)\/(((-3)\/8 - 0)\/((-210)\/700))\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0 - -4) + -3 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -458 + 457 - (-5 + 3 - 39 - -2).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -247*o**2 - 271*o**2 + 657 + 516*o**2 in the form z + q*o + w*o**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -39, -70, -101?\n\"Answer: -31*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from puupudueuuudueududdd?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 12222043?\nAnswer: 12222102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1790 + 1b?\nAnswer: 17ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - c - 495, -g + 108 = -5*c + 3*c. Is 30 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -169*w**4 - w**2*y - 3*w*y + w + 14*y wrt w?\nAnswer: -2028*w**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.99 + -2. Let s = -0.19 - -0.6. Let y = f + s. What is the second smallest value in y, 0.2, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/224 and -173\/1759296.\nAnswer: 1759296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1002 + -39.84.\nAnswer: 962.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 4 + -20 + (-12 - -19) + 0 + 103\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -21*p - 30*p + 79 - 5*p**2 - 35 + 8*p**2 + 166 = 0.\nAnswer: 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 255 + -248. Is (((-3297)\/6)\/f)\/(10\/(-40)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 7) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-4*(sqrt(7) + sqrt(7) + sqrt(140)\/sqrt(5) - sqrt(7)) + -3 + 1*sqrt(567))**2)*4.\nAnswer: 72*sqrt(7) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**5 + n**5 - n**5 - n**5 - n**3 + n**3 + (-2*n - 2*n + 3*n)*(n**4 - 4*n**4 + 0*n**4) + 2*n**5 - 9*n**5 + 19*n**5 - 4*n**5 + n**5 + n**5.\nAnswer: 13*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -488\/5 + 97. Let h be (0 + 0)*((-5 - -6) + 0). Suppose h = 11*p - 2*p + 9. Which is the third biggest value? (a) p (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -5*s**4\/12 + 125*s**3\/3 - 3125*s**2\/2 - 35*s. Factor r(j).\nAnswer: -5*(j - 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -69822676 to the nearest ten thousand.\nAnswer: -69820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647117?\nAnswer: 647117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 63249977183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15584 is divided by 371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 - -86. Suppose 3*a - d - 11 = 0, 2*d - 7*d = -a + o. List the prime factors of 17 + a\/(2 - 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 573 + -575. Put x, -2\/15, -0.165, -1 in decreasing order.\nAnswer: -2\/15, -0.165, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v + 10*v - 75 = 0. Suppose 2*x - 25 = -3*x. Solve -2*b + 19 = v*l - b, -x*b + 15 = -l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 697932619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4849 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b1c5 - -c0?\nAnswer: b295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 25*h - 46 + 30, 2*n + 2*h = 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2121?\nAnswer: 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5849249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) - 2*(sqrt(891) - -1*sqrt(891))) + 2 - ((sqrt(11) - sqrt(44) - sqrt(11)) + 4 - sqrt(99)\/(sqrt(9) - sqrt(144))))**2.\nAnswer: 304*sqrt(11)\/3 + 63572\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/7 + 338\/14. Let w be (-1)\/(-4) + -14*69\/s. Let f = w - -137. What are the prime factors of f?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 5*t**2 - 3*t - 4. Let f be m(4). Suppose f = -0*a - a + 653. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 + 0 - 0 - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164 less than 1166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 192*o**3 + 2*o**2 - o. Let m be p(1). Suppose 53 - m = -5*d. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, x: 5}. Give prob of sequence xtx.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 + 0.4. Suppose w = 5*f + 5, -f - 2 = w - 1. Which is the nearest to w? (a) 4 (b) 1\/2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.026626 litres to millilitres.\nAnswer: 9026.626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 11) to base 9\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 23. Solve -2*x + l*x = -10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 80*t - 314. Let m be h(4). Let x(o) = 2*o**2 - 3. Let u be x(2). Suppose w + 43 = 3*n, 2*n + u*w = 36 + 4. Solve -j + m*j = n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 7*s**2 + 51*s - 292. Determine d(6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1045576148.\nAnswer: 2, 261394037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2394\/315 + 2*-4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 10*l**2 - 14*l - 7. Let n be q(8). Suppose n*i = 185 + 49. What is the units digit of ((-58)\/2 - 1)*i\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from vvqqqvqq?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 + b + 2. Suppose 2*c - 55 = -3*c. Suppose -8*y + 23 = -3*y - f, 0 = -y - 5*f - c. Is 19 a factor of k(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 425 divide 229111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-177 + 180)\/((130\/(-4))\/(-5)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220824559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9244.4 rounded to the nearest 100?\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 + 6*m**2 + 9*m - 4*m**2 + 4*m**2. Let s(d) = -7*d**2 - 8*d. Let j(k) = 5*c(k) + 6*s(k). What is j(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.43700502 rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g = -31*g + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -56*y + 615. Let a be c(11). Sort 18, 21, a.\nAnswer: a, 18, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -393208860365 take away -0.1?\nAnswer: -393208860364.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iuhu when four letters picked without replacement from {u: 2, g: 2, i: 1, h: 1}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 121496987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 - -115?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*w**3 - w - 17*w**3 - 2*w**4 + 31*w**3 + 2 + 2*w**2 to the form n*w**2 + d*w**3 + z*w + f*w**4 + i and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u**2 + 10970*u - 10970*u. Let z(w) be the first derivative of -2*w**3 - 2. Determine g(z(d)).\nAnswer: -180*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 less than or equal to -2274\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -598 divided by -299\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2717*s - 440067. Determine k(162).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 245006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o. Let x be f(2). Solve -5*k - x = 14 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -0.2 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60666 is divided by 20157?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 24642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 3:49 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 884?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.807598 centimeters to nanometers.\nAnswer: 8075980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.076 + -0.924. What is the closest to -0.3 in -0.4, 0.1, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-14))\/(3\/(-15))*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 413 + 136. Calculate the highest common divisor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3069 (base 10) to base 3.\nAnswer: -11012200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.128 times 1805\nAnswer: -2036.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 11 - 3. Calculate the remainder when 11 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -6*i + 8*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 557187 and 557203 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) 3\/20 (b) 0 (c) 0.1 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2791812 - 121*l**3 - 2791810 + 5583622.\nAnswer: -121*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 585.0000742 - 585. What is p rounded to 6 decimal places?\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**5\/20 + j**4\/3 - j**3\/2 + 5*j. Let c be r(3). Sort -5, 3, c.\nAnswer: -5, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469 is divided by 132.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 419, 3561, 12221, 29195, 57279, 99269, 157961, 236151?\nAnswer: 336635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7042 + 9722. Is 61 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 divided by -374?\nAnswer: 97\/374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*f - 8 = 0. Suppose -f*q = -27 - 195. Suppose -188 = 880*i - 885*i + c, 4*i - 3*c = 146. Calculate the remainder when q is divided by i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -28*q. Let k be a(2). Let j = k - -148. What is the remainder when j is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2133817*m - 1. Let h(u) = 4*u. Determine l(h(f)).\nAnswer: 8535268*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -129712 divided by 22\nAnswer: -5896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52.7 + 53. Let j = 0.42 + -0.4. Put 2\/7, j, f in decreasing order.\nAnswer: f, 2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 374, 8\/147, -5, -1\/6, -2\/15?\nAnswer: 374","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/9)\/((-16)\/(-96)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 318 in 2, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*(-2 + sqrt(11)*1*-2 - sqrt(99)\/(sqrt(36)\/sqrt(4))*3) + -3)**2.\nAnswer: 650*sqrt(11) + 7044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from whhwfhhaffaxhhwhwhw?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/2 - 8183*r\/2.\nAnswer: r*(r - 8183)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2 = 61. Let f = 23 + h. Let t be (10\/3)\/(f\/(-6)) - 1. What is the biggest value in 0.4, t, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((6\/24)\/((-8)\/16))\/((-1)\/(-6)). Sort f, 4, 8, 5 in decreasing order.\nAnswer: 8, 5, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h*h*h**(-17))\/h)\/h)\/h*h)**32)**(-24) assuming h is positive.\nAnswer: h**13056","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.8 + 4. Let w = c + 0.2. Let d = 3.1 - 8.1. What is the nearest to 1 in d, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*w**2 + 11*w**2 - 37*w**2.\nAnswer: -59*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3962 or -2?\nAnswer: -3962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-31 + 32)\/((-2)\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-4) + 0 + -2. Let w(b) = -3*b**2 + 4*b - 3. Let j(n) = -1. Let x(c) = 7*c**2 - 9*c + 4. Let z(t) = -3*j(t) + x(t). Determine f*w(q) - 2*z(q).\nAnswer: q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 + 93 + 25)*(-t - t + 0*t)*(42*t - 37*t - 38*t).\nAnswer: 4620*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 10 = -0. Suppose -5*m = l, 5*m - 13 + 66 = 3*t. Let j = -13 + t. Solve -r = -j*w - 8, -6*r + 2*r = -3*w + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 j, and 1 p when four letters picked without replacement from {x: 5, j: 8, p: 4}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5128.70030436+-0.029\nAnswer: 5128.67130436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526.26l in millilitres?\nAnswer: 1526260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + v**2 + 3*v. Let s(h) = 2*h**3 - 2*h**2 - 5*h - 1. Calculate 5*i(q) + 3*s(q).\nAnswer: q**3 - q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -283 - -199.4. Let l = -84 - k. Which is the closest to -2\/49? (a) l (b) -1\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 + 6 - 1\/(-5). Let p = -0.65 + 0.15. Which is the biggest value? (a) 0 (b) h (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + -6*-1*sqrt(95) + sqrt(95))\/((2*sqrt(15))\/sqrt(3) - sqrt(5)) + (-3*(sqrt(1539) - (sqrt(1539) + sqrt(1539) + -2)) + 0 + 1 + sqrt(1539))**2.\nAnswer: -352*sqrt(19) + 24649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10568 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -565762 divided by -34?\nAnswer: 282881\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1.2 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 14*g**2 + 13*g + 3. Let k be w(13). Let m = 89 - 84. Solve -f + 0*f - 12 = m*o, -k*f = -2*o - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.3 - -0.3. Let f = -22.3 + 22. Put -5, r, f in decreasing order.\nAnswer: f, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 415, 413, 411, 409, 407, 405?\n\"Answer: -2*h + 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2393, -2593, -2937, -3425, -4057, -4833?\nAnswer: -5753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2 + 2 + 7508*f - 7489*f. Let d(i) = i + 98. Calculate p(d(a)).\nAnswer: 19*a + 1862","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 8*g + 3. Give l(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 67 = 4*m + 62, -5*b = m + 215. Let o = 22381\/9 - 2492. What is the common denominator of b and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52679 is divided by 727?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58060107*d**4 - 21314*d + 1178.\nAnswer: -696721284*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44977492 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -13*(-1)\/(-9) - 13\/(-13). Which is the nearest to 1? (a) o (b) -3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3156 is divided by 485.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 1:33 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 61.62, -20231, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*a**2 + 215*a**2 - 109*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2136)\/20*10\/(-4). What is a rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 5?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + (46 - 2 - (23 - -40 - 60)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -146855635 * -0.4.\nAnswer: 58742254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15132 * 4.\nAnswer: 60528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 88 - -4 - (3 - (4 - 3)). Let j = w + -87. Suppose -8*a - j*m = -11*a + 336, 5*a + m = 530. What are the prime factors of a?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10221110010 + 12?\nAnswer: 10221110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1343413*t - 241035 wrt t?\nAnswer: 1343413","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 22*m**2 - 22*m - 47. Determine a(23).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1145 - 7\nAnswer: -1152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by 382.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134221031 (base 5) to base 3.\nAnswer: 1022022112222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**4\/12 + q**3 - q**2\/2 - 4*q. Let j be 0\/(-4) + 1 + 0. Let d = j + -7. What is k(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7270 + 7274. Calculate the greatest common divisor of 484 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 36*h**2 - 4*h. Let t(v) = 86*v**2 + 27*v. Let w(f) = 15*f**2 + 5*f. Let a(l) = -2*t(l) + 11*w(l). Calculate 14*a(y) + 3*o(y).\nAnswer: 10*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-18) + (-2)\/2. Let n = 0.0261 + -4.0261. What is the biggest value in n, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzzhyhqqzkqhzqzh. What is prob of sequence yzkk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5792322, 5792316, 5792304, 5792286, 5792262?\nAnswer: 5792232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 830278077 to the nearest integer?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 111 = -3*q, -69*s + 16 = -68*s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 40. Put -14, 4, p in ascending order.\nAnswer: -14, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*u - 82*u + 110*u as b*u + j and give b.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6186 + 6188. Which is the biggest value? (a) 3 (b) 6.2 (c) -5\/4 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**4 - 44*l**3*r**3 - l**3*r**2 + 183*l**2*r + 7*l*r**3 wrt l?\nAnswer: 48*l - 264*r**3 - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s + 3*s - s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 118696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 50513?\nAnswer: -50515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(((b\/b**(-20))\/b)\/b)*b*b)\/(b**(-17)\/b))\/((b**(3\/4)*b)\/b**28) assuming b is positive.\nAnswer: b**(113\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 33.2 (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -577.1 - -565. Let o = 16.1 + g. What is the nearest to 7 in o, 2\/11, 5\/6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220110 (base 6) to base 8\nAnswer: 43412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -13*g + 41. Let o(h) = -3*h + 10. Let s(y) = -2*n(y) + 9*o(y). Let p be s(2). Let w be 0\/1*(6\/(-3))\/p. Solve -4*j + 9 + 3 = w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 1:19 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 + 9*k - 36. Calculate the least common multiple of 9 and z(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-4))\/(4*(-36)\/96). What is the closest to -8 in 3, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 7*b + 4. Suppose -21*f + 303 = 156. Determine v(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**3 + 649*x**2\/3 + 3912*x + 432 = 0. Calculate x.\nAnswer: -36, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 - 79. Suppose 0*x = -2*x - 4*u + 8, -2 = -g*x - u. Suppose x = 4*n - 16, 0 = -v + 2*v - 2*n + 5. Solve s - v = -2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7112455 (base 8) to base 12\nAnswer: -764039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 844*q**3 - 124*q**3 + 2397*q**3.\nAnswer: 3117*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 29*a + 20. List the prime factors of y(13).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 0)*(-7*u - u - 10*u) + 2*u - 3*u - 2*u.\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 217 and 4092?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1426 and 1\/99820.\nAnswer: 99820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1218853 or -1218852?\nAnswer: -1218853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 520\/(-64) + 1\/8. Let h = -225 - -223. What is the third smallest value in h, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44.833*-64\nAnswer: -2869.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2. Let d(s) = 2*s - 18. Let c = -28 + 38. Let p be d(c). Let u(k) = 16 - 34 - 6*k**2 + 8*k**p. What is u(f(v))?\nAnswer: 2*v**4 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*(2*sqrt(117) - sqrt(117)))\/(2*sqrt(225)*4).\nAnswer: 3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7268*i = 6937*i + 17543 for i.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1051153398?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 794705*l**2 + 2*l + 1041457?\nAnswer: 1589410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22002 + 3?\nAnswer: 22005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17280985, 34561965, 51842945, 69123925?\n\"Answer: 17280980*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**4\/4 + 4647*r**3 - 14368497*r**2\/2 - 43231041*r - 259637427\/4 = 0. Calculate r.\nAnswer: -3, 3101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1622\/5, 1, -1, 1\/1663 in increasing order.\nAnswer: -1, 1\/1663, 1, 1622\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/10 - 0)*-170. Let t = 573 + l. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 19. Let o(a) = -2. Determine 6*o(b) + 3*u(b).\nAnswer: 3*b - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 549\/6190 + 7\/619. Let l(k) be the second derivative of 2\/3*k**4 + 9*k + r*k**5 + 0*k**3 + 0*k**2 + 0. Find the third derivative of l(m) wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 20 = 7*j. What is the third derivative of 0*n**4 - 79*n**2 + 13*n**6 + 70*n**2 + 0*n**j wrt n?\nAnswer: 1560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - r**2 - 1. Let d(v) be the third derivative of -v**6\/12 - v**5\/6 - 5*v**3\/3 - 2*v**2 + 37. Give -2*d(c) + 22*g(c).\nAnswer: -2*c**3 - 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 72*n**2 - 12*n + 27. What is i(3)?\nAnswer: 639","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 248 - 263 = 2*g, 4*f - 2*g = -30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2182 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2168*u + 2167*u - 2.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -149643626*l**3 + 714623864?\nAnswer: -448930878*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 10*l**2 - 27*l + 80. Let f be o(8). What is f rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 184105, 368197, 552289, 736381, 920473, 1104565?\n\"Answer: 184092*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 3*s + 9. Let d be p(-4). Find the third derivative of 3*c**6 + 45*c**2 + 2*c**6 + 2*c**2 - d*c**6 wrt c.\nAnswer: -3840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118 and 2950.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**4 - 6*w**4 + 0*w**4 - 6*w**4 + 2*w**4 + 3*w**4 + (4*w**3 - 3*w**3 - 9*w**3)*(2*w - 1 + 1) + w**4 - 3*w**4 + 0*w**4.\nAnswer: -23*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -798216 by -399108.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -o + 29. Suppose 170 + o = 4*t. What is the remainder when t is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1393513 and -1393512 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15830 - 8711. List the prime factors of u.\nAnswer: 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 7:41 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000808103624 rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2\/6 - 140*q\/3 + 278\/3 = 0 for q.\nAnswer: 2, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -3. Let m be p*(-2)\/(2 - 0). Suppose m = -2*z - 4 + 16. What is the remainder when 11 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -873894 divided by 145649.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-70) - 6952\/(-385). Sort -4, -3, -2, 8, k in ascending order.\nAnswer: -4, -3, -2, 8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 50 = -150. Is 9 - t - (-456 - -1) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000147523 rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 = 0, 4*d - 17 = 3*d + m. Let w(g) = -g - 12 - 24 + d. Let i(h) = 3. Determine 11*i(t) + 2*w(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**4\/3 - 388*c**3 + 8255*c**2 - 142100*c\/3 + 39500 = 0.\nAnswer: -1185, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1455040 to the nearest integer?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {c: 11, k: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3313 divided by -629\nAnswer: 3313\/629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*t + 10*t - 86*t**2 - 1 - 5*t + t as d + x*t + j*t**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 2*y**2 + 0*y**2 + 0*y**2 + y - 3*y + 7. What is the tens digit of s(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 388428 = 388409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 0*m + 0 + 0*m**3 + 1\/30*m**5 + 1\/6*m**4 - 3*m**2. Suppose y(c) = 0. What is c?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -871*n. Let r(t) = t. Calculate r(p(w)).\nAnswer: -871*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49029.4 rounded to the nearest 100?\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 42 = -4*k - k, 2*z = 2*k - 4. Let g = 10 - k. Let v be ((-86)\/129)\/(4\/(-30)). Is g equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9018268727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103964, -209350, -314736, -420122, -525508?\nAnswer: -630894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 21*m**2 + 85*m - 39. Let d be a(16). Let w(z) = -4*z + 165. Calculate w(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, a: 10}. Give prob of sequence oo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4163285mm in meters?\nAnswer: 0.0004163285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -7.9, -4, 1\/4, 2, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5286 + 9643. What are the prime factors of t?\nAnswer: 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 - 38*g + 748. Let o be f(12). Solve -4*y = -o*b, -16*b = -17*b - 2*y + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3222654 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 54, 106, 158, 210, 262, 314?\n\"Answer: 52*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/5)\/((-36)\/(-120))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 36, 58, 80, 96, 100, 86, 48?\n\"Answer: -x**3 + 6*x**2 + 11*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 820, 853, 918, 1021, 1168, 1365?\nAnswer: 1618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40590\/4059*11\/5.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*g + 20*g + 152. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r = -13 + 735. What is the remainder when r is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14569 is divided by 841.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -23 + 9. Let u be v\/(21\/(-12)) + -1. Solve -4*q = 4*k + 12, -q = u*q + 5*k + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -12\/413, -0.2, -6?\nAnswer: -12\/413","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8063 is divided by 288.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + d - 17 = -5*j, -3*j - d + 14 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*k = -72*k - 16. Solve 4 = -5*j + f, j + 2*f - k = 7*f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-20))\/(12\/(-5))*-10\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 plus -8090140770678?\nAnswer: -8090140770678.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -147 + 98. Let y = d + 83. Let k = y - 38. What is the nearest to 0 in 0, k, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -29*h**5\/60 + 1175*h**4\/24 + 8*h**2 + 8. Find the second derivative of s(v) wrt v.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/20433 and -4\/8757.\nAnswer: 61299","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: -11+6.9266\nAnswer: -4.0734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -32 (b) 2\/873 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u**3 + u**2 - 3*u - 18. Calculate g(-2).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 136748 or 136714?\nAnswer: 136714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8772 and 81827796?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.1 (b) -5 (c) 2741 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6*h**3 - 3*h**2 - 2*h + 4. Let z be b(1). Suppose 0 = -5*i + q + 294, -q + 296 = -z*i + 10*i. Solve 13*y = -i + 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176 (base 14) in base 8?\nAnswer: -454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * -15.6.\nAnswer: 14.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i**2 + 845*i + 816*i + 4*i**2 + 828*i - 2489*i.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**3 + 2*o**2 + 12*o - 5*o**3 + 6*o**3 - 1 - 11*o in the form u*o**2 + y + z*o**3 + q*o and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s + 13. Let c = -3 + 15. Is 10 a factor of g(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10731482 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/4*(-4)\/(-3). Let s = -785 + 788. What is the remainder when s is divided by (-6)\/(-4) - d\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/3422 and 11\/348.\nAnswer: 20532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o - 1\/2*o**2 + 10. What is p(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1348958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -15*y**2 - 2*y + 1. Suppose 17 = 5*s - 4*w, 384*w - 3 = 385*w. Calculate c(s).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 5*u = -3, 1644*y + 20 = 1648*y - 4*u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -784 - 2*r - 9*r - 4*r - 6*r**3 + 3*r.\nAnswer: -6*r**3 - 12*r - 784","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -3*s + 3, 0*s + 2*i - 1 = -5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*w + 6*w + 3*w)*(-3 + 1 + 0)*(2 - 4 - 2)*(-10*w + 3*w - 2*w)*(-3 + 5 - 1).\nAnswer: 1800*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2654*k**3*z**3 - 3*k**2*z**3 + 24*k**2*z + k*z**3 + 3*k*z**2 wrt k.\nAnswer: 15924*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*m - 212*m = -3, -2*q - 28 = 3*q + 16*m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-4)\/50 - -13*728\/621075\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45767296.\nAnswer: 2, 337, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 86612.\nAnswer: 1\/21653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -352, 2\/17, 0, -0.1, 5 in decreasing order.\nAnswer: 5, 2\/17, 0, -0.1, -352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16, 34, 56, 82, 112, 146?\n\"Answer: 2*b**2 + 12*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-11)\/22*4\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -14*i + 5. Let s be f(0). What is the highest common divisor of 8 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 234588*r.\nAnswer: -4*r*(r - 58647)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/25, -2, -107?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21680, 86675, 194982, 346601, 541532, 779775?\n\"Answer: 21656*t**2 + 27*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31 times -247.4?\nAnswer: 76.694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 6:25 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 40*y**5 + 10046*y**4 - 214*y**3 - 433658*y**2 - 486690*y - 63252 = 0.\nAnswer: -251, -6, -1, -3\/20, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 473\/(-55)) + (-4)\/(-10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 9*w + 2 = 0. Let a(p) = p**2 + 5*p + 6. Let k be a(-4). Suppose 3*x = -13 - k. Put w, 5, x in descending order.\nAnswer: 5, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -5. Calculate the lowest common multiple of z and -14 - (4 - 39) - (3 + 4).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 b when three letters picked without replacement from {f: 2, b: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -15*b + 10. Calculate d(3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-1))\/(24\/(-84)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-52*(-17)\/(-136).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g**2 + 406*g. Let z(u) = -7*u**2 + 424*u + 1. What is -5*v(k) + 4*z(k)?\nAnswer: 2*k**2 - 334*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 11*b**2 - 8*b - 2. Let c be x(-11). Suppose -66 = -l - g + 6*g, 4*l - g - 169 = 0. Let o = l + c. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10398575?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10877 - -10862.669. Round m to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -874*g**2 + 13*g - 15. Let a(p) = 873*p**2 - 10*p + 12. Give 5*a(k) + 4*t(k).\nAnswer: 869*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 + -4.2. Let o = -3\/13 - -45\/26. Which is the second biggest value? (a) o (b) y (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 389800b (base 12) to base 13\nAnswer: 24048a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*y + 94*y + 91*y.\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/3465 and -121\/48.\nAnswer: 55440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*o - 36, -11*o + 16*o = 4*x - 36. Which is bigger: -202 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -15*t - 37. Let i be s(-19). Let c = i - 4214\/17. Which is smaller: c or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Determine n so that -2*n**3 - 2*n + 4*n - n - 2 + n + 2*n**s = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 49 - 63. Suppose 5*l - 2*g = -0*g + s, 4*l - 12 = -g. Solve -2*a - 2*a + y = -l, 3*a + 2*y - 3 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.058 in 0.1, -3\/4, 5, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.2, -1, 75 in decreasing order.\nAnswer: 75, 0.2, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/3, 0.16, -6.04?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 46*(2 + (-12)\/8). Solve -5*q - l = 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 2*c - 4*c)*(7 + 0 - 5) - 21*c - 143 + 15*c + 8*c.\nAnswer: -2*c - 143","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90253, 180507, 270761?\nAnswer: 361015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 12*b + 72. What is the remainder when 194 is divided by w(8)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26417.35 millilitres in litres?\nAnswer: 26.41735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(3 + (1 - 3)). Let i be -4*((-3)\/6 - u). Let o = 8 - i. Calculate the lowest common multiple of 9 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (180\/25)\/2 - 4\/(-10). Suppose 5*o + 275 = 5*d, 0 = 2*d - 0*d + h*o - 140. Is 27 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, -39, -199, -423, -711, -1063, -1479?\nAnswer: -1959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-6))\/(3\/(-18)). Let y be (3 - 4)*-7 + -1. Put r, -5, y in increasing order.\nAnswer: -5, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n - 10*n = 0. Suppose -11*b + 4 + 7 = n. Solve y + 0 = -b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2101102202122 (base 3) to base 7.\nAnswer: 13531430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -1\/8 (c) -3.12 (d) -0.5 (e) 10 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17541724163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - t - 55 = 0. Suppose 5*l + 6*q = t*q + 14, 4*l + 5*q = 28. Solve 40 = 5*f - 0*f - 3*x, -l*f - 4*x = 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 778179 and 141.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and 14.2?\nAnswer: 0.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by 34176.\nAnswer: 25\/34176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/5))**(3\/7)*(y*y**(-5))\/y**(-2))\/(y**(-8)\/(y\/(y*y**(-9))))**(5\/13) assuming y is positive.\nAnswer: y**(2026\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c - 8. What are the prime factors of u(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -0.4, 517296, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1233 - -1273. What is the greatest common factor of p and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(60\/9)*((-2625)\/35)\/(-450)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 492.6 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from cfofcfffoffoofofob.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (135\/(-5))\/(-3) - 4 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence goc when three letters picked without replacement from gggcgccgogcccgggccgc.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 13*n - 3. Let l(t) = -19*t + 4. Let m(j) = 5*l(j) + 7*v(j). Let k(d) = 2*d. Determine -5*k(y) - 2*m(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*u - 8. Let s(x) = -x**2 + 7*x + 11. Let n be s(u). Suppose 0 = -5*g + 10, 0 = 4*q + g + 1 - n. What is the closest to q in -1, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 5\/2, 4\/5, -1\/4, 0 in descending order.\nAnswer: 5\/2, 4\/5, 0, -1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36 - 32 + 4*v**2 + 72)*(-2*v**2 + 2*v**2 - 2*v**2) in the form r + q*v**3 + n*v + f*v**4 + a*v**2 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*0*1\/1. Suppose 189*h = 191*h - 5*z + 55, 44 = 10*h + 4*z. Solve x*y - 4*y - 8 = h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + h - 4. Let u be c(-3). Suppose 2*y - u = 150. Suppose -3*p + y = -2. What are the prime factors of p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 2*f - 3*s - 62, -2*f - 2*s + 152 = 0. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4127 - 0.3869. Let s = 4.3 - 5.1. Let f = l - s. Round f to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -8. Let p be ((-15)\/9)\/((-250)\/450). Let w = 0.3 - -0.2. Sort w, p, a in ascending order.\nAnswer: w, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -12, 18*v - 14*v - 12 = -3*n. Suppose n = -50*t + 38*t. Suppose -2\/7*a**3 + 2\/7*a**5 + 0 - 2\/7*a**4 + t*a + 2\/7*a**2 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/21*17*(-17)\/(-5780)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -218*w**2 - 11*w - 15. Let a = 16 + -23. Let o be x(a). Let i be o\/9*(19 + 1). What is i rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 15*o**2 - 6. Let b be n(-15). Let z be (112000\/b)\/((-13)\/(4875\/(-10))). Round z to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40*(-3)\/(-27)*(-90)\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -53. Let r = 54 + g. Calculate the lowest common multiple of ((-46)\/6 - -6)\/(2\/(-12)) and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 + 58. Let g be a\/(-11) + (-356)\/(-22). Suppose 12*s - 609 = 159. Calculate the greatest common divisor of g and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 2. Suppose 3*q + 5*d + 32 = 0, r*d + 83 = -5*q + 8. Let h = q - -125. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3673 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2101607 * -0.136\nAnswer: 285818.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-63 - -34 - -10)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 1 + (-1 - -4). Suppose 0 = 4*z - 4*p + 12, w*p = -z + 9*p - 23. What is the derivative of 6 + 2 - 22*j**z + 20*j**2 wrt j?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4736, -2, 2, -138, -10.\nAnswer: -4736, -138, -10, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 672497 and 322?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 47 - 33. Let k be (-24)\/g*16\/18. What is the nearest to k in 1, 5, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4*u - 100, 5*t - 2*u - 2*u = 123. Suppose 0 = 4*d - t + 19. What is the smallest value in -3, -1\/3, -5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 51\/5 of a kilometer?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 10:33 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**3 - 19*q**2 + 113*q + 949. Determine s(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 689*w**5 + 6*w + 117 wrt w?\nAnswer: 13780*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 6. Let x be 4\/3 - j\/(-6). What is the units digit of 1\/3*3*x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 95, 188, 281, 374, 467, 560?\n\"Answer: 93*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/9170 and 16\/169645.\nAnswer: 339290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -14604619798 plus 0.09083?\nAnswer: -14604619797.90917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16561 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 2*a**3 - 17*a**2\/2 + 15*a + 7. What are the prime factors of t(6)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ruuz when four letters picked without replacement from {t: 3, x: 3, z: 2, r: 1, f: 1, u: 3}.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2030 and 3718235?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 3*j - 2517*p + 2520*p, -20*p + 26 = -2*j - 24*p for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3 - 6*h - 4 + 1. Let i(m) be the first derivative of -m**5\/30 + 17*m**2\/2 - 19. Let y(o) be the second derivative of i(o). What is y(z(x))?\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28349471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 95\/453899?\nAnswer: 95\/453899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -1.5739, 5 in increasing order.\nAnswer: -4, -1.5739, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368 + 190 = -31*o. Let n be 108\/4*(-4)\/o. Let i(v) = 3*v**3 - 5*v**2 + 4*v - 5. Let r(l) = -4*l**3 + 6*l**2 - 4*l + 6. Give n*i(d) + 5*r(d).\nAnswer: -2*d**3 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 11. Suppose -31 = y + 5*d, 5*y - d + 24 + 1 = 0. Let l(r) = -70*r - 71*r - 32 + 144*r. Give y*l(o) + 17*i(o).\nAnswer: -o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 665496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 176290302 to the nearest integer?\nAnswer: 13277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.81 + -3.71. Which is the second smallest value? (a) l (b) -2\/19 (c) 20 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1483984\/1143 + -1171551313\/904113. Let n = s + 2\/1017. Find the common denominator of 83\/15 and n.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 7) + (-33 - -27) + (1 - -10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*i + 94*i = 77 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8963.302 weeks in milliseconds?\nAnswer: 5421005049600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**9\/3780 + c**8\/1680 - c**7\/315 + c**4\/3 + c**2 + 16*c. Let q(d) be the third derivative of y(d). Let q(m) = 0. What is m?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 0*p**6 + 0*p**5 + 16*p**2 + 0*p**3 + 0 - 1\/12*p**4 + 0*p - 23\/210*p**7. What is the second derivative of w(h) wrt h?\nAnswer: -276*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-34)\/14 - 1881\/(-4389). Let f(u) be the first derivative of -6*u**2 + 1. Give f(p).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13 - ((-53)\/(-11) + (-68)\/(-374)). Let f(h) = 12*h**3. Let n(y) = 18*y**3. Calculate t*f(c) - 5*n(c).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 269b - -5?\nAnswer: 26a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -49?\nAnswer: -19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1324440431 - -243?\nAnswer: 1324441224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/18*21*(-1)\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0020708882 rounded to four dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - 1 - (-6 - 1)*1. Suppose f*g - 315 = g. Calculate the greatest common factor of 25 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 205\/(96350\/564)*10\/222*1\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 9. Suppose -5*w + 14 - 4 = 0. What is the smallest common multiple of w and c(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - 6 - 1748\/(-266). Factor 2\/7 + 2\/7*a**2 - b*a.\nAnswer: 2*(a - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 10:29 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 884 and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7 - (3 - 2)) + 3. Suppose l*r - 11*r = -6. Suppose -3*s = -a - 232 + 963, 4*a + r*s - 2984 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -89*t - 1013 - 233 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**8\/6720 + p**6\/720 + 5*p**4\/24 - 2*p**2. Let n(m) be the second derivative of i(m). Find x such that n(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5100 by 1020.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((27\/(-12))\/(1890\/(-1008)))\/(3\/510*-2)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43 - 10*h**2 + 43 + (212 - 212 + 21*h)*(h - 2 + 2) + 1 - 1 - h**2 to d*h + w*h**2 + y and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + (86 - 94).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 6:37 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -2832552?\nAnswer: 1\/2832552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k + 2. Let d be m(0). Suppose -d*q = -95 - 61. List the prime factors of q.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d + 4. Let q = 6 + -10. Let f be k(q). Let r = f + 12. Solve -3*j + j = r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + (4 - 3) - -1. Suppose -40*x = -39*x + p. Let n be x\/(-6)*(-26)\/(-104). Which is bigger: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i + 5*i + 13*i to the form n*i + l and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 4*b - 2. Let q be s(-4). Let z = -3 - q. What is the third smallest value in -0.4, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1379 + -1382. Put 2\/5, 1, y, 3\/17 in ascending order.\nAnswer: y, 3\/17, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/2*4\/(-6). Let v(s) = -3*s - 1. Suppose -2 = 2*y + 2. Let o be v(y). Solve o - r = 4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i**3 + 16*i**2 + 17*i + 1. What is u(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l + 80 = 0. Suppose 5*z - 5*k + 20 = -6*k, k = 3*z + l. Let p be 2\/6 - 21\/(-18). What is the smallest value in z, 0.2, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1313)\/2121 - (-2)\/7.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5 = -t, -2*r + 5*t - 1 = -r. Solve -3*w - 23 = -0*w - 2*u, r*w = 4*u - 36 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 0 - 47*l**2 + 43*l**2 - 4. Let c(g) be the first derivative of -2*g**3\/3 - 2*g + 1. Determine 5*c(z) - 2*k(z).\nAnswer: -2*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 8, -4, 3 in descending order.\nAnswer: 16, 8, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -22, -2282.\nAnswer: -2282, -22, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - c - 1. Let q(m) = 5*m**2 + 17*m + 9. Let j(n) = n**2 - n + 6. Let x be j(0). Let k(o) = x*t(o) + q(o). Let d be k(11). Solve 1 = y - d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 288b32 - 35?\nAnswer: 288ab9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 7 - 3)*(2*g**3 - 1 + 1 + (-2 + 4 - 3)*(127*g**3 - 28*g**3 + 4*g**3) + g**3 - g**2 + g**2) to u*g + h + i*g**3 + n*g**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (0 - -2 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + k + 1. Let b be r(-1). Suppose b = 3*y - 2. Let z(s) = 3. Let o(q) = -q + 1. Let v(c) = y*o(c) - z(c). What is the derivative of v(t) wrt t?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -576*c - 7. Let o(z) = 145*z + 1. Let b(y) = -h(y) - 4*o(y). Let d(m) = -5*m + 3. What is -3*b(t) + 2*d(t)?\nAnswer: 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3333*b + 1. Let h be (-10)\/15*9\/(-2). Let w be a(h). What is w rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**6 + j + 1. Let s(v) = -19*v**6 + 18*v**2 - 2*v - 2. Let o(q) = -2*m(q) - s(q). What is the third derivative of o(r) wrt r?\nAnswer: 2040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1306 is divided by 68.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36825582 divided by -6.\nAnswer: -6137597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99 - 105) + 0 + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -334 - -337. What is d in -2*d**4 + 17925 + 10*d**v + 28*d**2 - 17925 = 0?\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 0*j**3 + 0 - 1\/6*j**4 + 0*j + 4*j**2. Let q(p) = -p**2. What is q(b(g))?\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**3 + i**2 + 3*i - 7. Let k be c(5). Calculate the greatest common factor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.05 and 11619?\nAnswer: 11618.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*k + 27, -5*z + 5*k - 29 - 11 = 0. Is (33\/z)\/((-2)\/14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/5 of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q**2 - 403*q**4 - 10 + 888*q**4 - 254*q**4 + 8 as c*q + v*q**4 + s*q**2 + x*q**3 + h and give v.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 30755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 51*i + 4. Give g(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -0.11 (c) -11\/5 (d) 1\/4 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3246794496 less than -8537?\nAnswer: -8537.3246794496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(625)\/sqrt(5) - (sqrt(180) - sqrt(180)*1 - sqrt(180)).\nAnswer: 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001768 rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(102) + 1*sqrt(102)) - (sqrt(102) - -6*(sqrt(102) + (sqrt(102) - sqrt(102)*1) + sqrt(102))))\/((sqrt(42) - 2*sqrt(42)*2)\/sqrt(7)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trrtttr. Give prob of picking 1 t and 3 r.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/63 + (-12)\/(-126))\/((16340\/(-60))\/19).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*(i**21\/i)\/i*i))\/i*i*i**25)**1)**(6\/13) assuming i is positive.\nAnswer: i**(30\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -170*i + 3581. Let l be t(21). Which is the closest to -1\/12? (a) 0.4 (b) -1\/6 (c) l (d) -1\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-62)\/(-20) + -3)*(24 - 22). Which is the closest to -4? (a) -10 (b) -3 (c) -0.3 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.16966 + -0.20057. Which is smaller: x or 2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -289 + 343. Calculate the highest common factor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 45943648.08 and -6?\nAnswer: 45943654.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8 = 4*p, -7*p - 4*q = -6*p + 11. Let a(v) = v**3 - 2*v**2 - v - 2. What is the lowest common multiple of p and a(3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 3 (b) -0.5 (c) 5 (d) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 12. Suppose -3*o + g = 4*z, 2*z = 4*z + 2*o - 6. Let c be (-14)\/(-2) - (-4 + 1). Solve m = z*m - c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36 * 17.333.\nAnswer: -623.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/h**(1\/2))*h**0*h*h\/((h**(9\/2)*h)\/h)*((h\/(h\/h**(1\/3)))\/h*h)\/h assuming h is positive.\nAnswer: h**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -118413054 - -118413013.9999991. Let m = 20 + -60. Let k = m - c. What is k rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84130 and 975?\nAnswer: 16405350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.114057293.\nAnswer: -0.342171879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/24)\/((-15)\/(-20))*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1119847 is divided by 405.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -2 - 2 - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 3\/2 (b) 5 (c) 0.72 (d) -3 (e) 0.204 (f) -23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.01 or 1\/26?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 j, and 1 q when four letters picked without replacement from jqadajqajm.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 62367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c + 14 = 0. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1816.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 99840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + (1 - (-2 + 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 1 - 2*d + 1671*d**2 - 1672*d**2 - 2*d. Let s(g) = 2*g - 1. Let y be s(2). Let t(i) = -y + 3 + 0 - i**2 - i. Determine 2*t(c) - u(c).\nAnswer: -c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1789 + -1135. Suppose -3*l = 3*c - 2712, -2*c - 3*l + 1154 = -x. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 2:58 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 10676103 to the nearest one thousand.\nAnswer: 10676000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*p = -30. Suppose 0 = -3*b - 3*q - p, 4*b - 2*q + q = 2. Which is bigger: b or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 3, -1\/9, -1\/4, -5, -42 in descending order.\nAnswer: 3, -1\/9, -1\/4, -5, -17, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1858014*-5.\nAnswer: 9290070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*y = 685, 0 = 4*l - 3*l - y - 240. Suppose v - 1 - 128 = 0. Suppose v = 4*x - l. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = y. Let m = 334 + -256. Suppose -5*j - v = -194, -m = y*j - 5*v - 210. What are the prime factors of j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.994049ml in litres?\nAnswer: 0.007994049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + b**2 + 10*b - 13. What is the remainder when d(5) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-17)\/(510\/(-96)))\/(-2))\/((-22)\/715)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-620)\/(-558))\/(10\/108)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (471*h**3 - 262*h**3 + 843*h**3)*(-2 + 2 - 5).\nAnswer: -5260*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 13. Suppose -5*r + k + 10 = 0. Let i(y) = -4*y**2 + 6 - 4*y**3 + 3*y**3 + 3*y**3 - y**r. Let f(p) = p**3 - 5*p**2 + 7. Determine -6*f(h) + 7*i(h).\nAnswer: h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -223*v - 121 with respect to v.\nAnswer: -223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-10\/3))\/k)**(-43) assuming k is positive.\nAnswer: k**(301\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1720*w + 6827. What is g(-4)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/165*-3*726\/(-440).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164757?\nAnswer: 3, 54919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -10*n**3 - n**2 + 2*n - 5. What are the prime factors of f(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -15*w**3 - 2*w**2 - 304*w + 2. Let r(p) = -61*p**3 - 9*p**2 - 1215*p + 9. Determine -2*r(q) + 9*x(q).\nAnswer: -13*q**3 - 306*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j = -8*j - 13*j. Solve 12 = -4*s - j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/5 (b) -0.3 (c) -1 (d) 0.2 (e) -0.347 (f) -3 (g) -2\/17\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2. Let n(o) be the third derivative of -o**6\/72 - 47*o**3\/6 - 61*o**2. Let z(l) be the first derivative of n(l). What is z(f(c))?\nAnswer: -5*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 329\/2508 - 10\/209. Let z(i) be the third derivative of -29*i**2 + 0*i - m*i**5 + 0 - 10\/3*i**3 - 5\/6*i**4. Factor z(v).\nAnswer: -5*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10833 - -10833. Solve u = 2*d - 5*h - 23, 5*d = 8*h - 5*h + 29 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*g**4 + 2 + 4159*g - 2078*g + g**3 - 2080*g - 3*g**2 as z*g**2 + r + i*g**3 + y*g + x*g**4 and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2199*f - 28413 = 72741 for f.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/53, 10.47, -0.2, 6, -5, 0.3 in ascending order.\nAnswer: -5, -0.2, 2\/53, 0.3, 6, 10.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -3 (b) 0.1 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -0.35. Let n = i + 0.15. Let z be 1\/((-14)\/24) + 2. Which is the nearest to n? (a) -0.5 (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 2. Let x(v) = v**3 + 16*v**2 + 15*v + 24. Let w be x(-15). Suppose k + w = -5*k. Determine i(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(12\/7)\/o)*o)\/((((o*((o*o\/(o\/(o*o**(-1\/15)\/o))*o)\/o)\/o)\/o*o)\/o)\/o*o))**(1\/22))**7 assuming o is positive.\nAnswer: o**(71\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**5 - 216180*x**4 + 1729248*x**3 + 384*x**2 - 27668736*x + 55335936 = 0. What is x?\nAnswer: -4, 4, 72052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 65*s**3 - 3*s**2 + 4*s + 4. Let y(c) = -c**3 - c**2 + c + 1. Give i(b) - 4*y(b).\nAnswer: 69*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/7 + (-144)\/84. Is j smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**7\/420 - q**6\/144 + q**5\/90 + q**4\/36 + 4*q**2. Factor o(k).\nAnswer: -k*(k - 1)*(k + 2)*(3*k + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 10:50 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-3) + -2)\/(9398\/70485).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.8 - 3. Let a = b - -0.4. Let l = 0.4 - a. Which is greater: -0.1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92758131 to the nearest integer?\nAnswer: 9631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**3 - 13*k**2 + 5*k - 28. Let d be n(12). Suppose 8*u - 880 = d. Does 28 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 169*x**3 - 203874 + 204946 + 635*x**3 wrt x.\nAnswer: 2412*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111207 is divided by 611.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - g = -9779843, 5340615 + 4439224 = 5*z + 3*g. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18280 and 1840?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6202, -8669, -44608, -101609, -179666, -278773, -398924?\nAnswer: -540113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 280 + -2?\nAnswer: 27c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5739945 millilitres in litres?\nAnswer: 0.0005739945","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/10944 and -107\/13920.\nAnswer: 1586880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5284 - -8583. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 309\/4 in -2\/5, 0.2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 y when four letters picked without replacement from {c: 3, r: 3, y: 6, b: 1, o: 1}?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9 + -0.1. Let n = -20.7 - -21. Which is the closest to j? (a) 0.4 (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 24 = 2*s, -3*s - 19 = -5*g - 21 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 119\/1547 - (-4611268)\/13 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 5*f**4\/4 - 31*f**3\/2 + 3*f**2 - 6. What is the first derivative of u(v) wrt v?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.34 - 16.26. Which is smaller: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/5, -72, -1203264 in descending order.\nAnswer: 2\/5, -5, -72, -1203264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**2)\/x)**(-12) assuming x is positive.\nAnswer: x**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**4 - 870*v**3 - 7491*v**2 + 8059680*v - 257465088 = 0. What is v?\nAnswer: -193, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or -1.386146?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 96770.66 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**3 + 8*j - 3. Let d = 341 - 339. Let q(i) = 4*i**3 + 7*i - 2. What is d*v(z) - 3*q(z)?\nAnswer: -2*z**3 - 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k - 22*k - 6*k)*(111 + 5 + 29).\nAnswer: -3045*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4 + 1 + 11 - 2*x - 1. Let i(j) = 5*j - 44. Let r(n) = -4*i(n) - 11*w(n). Let h(u) = 13 - 4*u + u - 19 + 2*u. What is 7*h(k) + 4*r(k)?\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2592223?\nAnswer: 29, 89387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 5. Determine q(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*75\/25?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 5*d - 6, 2*i + 18 = 6*i + d. Calculate the remainder when 8 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, h: 2, b: 15}. Give prob of sequence bbh.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r = -677398 - 36729. Let x = 20151 - r. Round x to the nearest one thousand.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**1*z**5*(z**6*z)\/(z**(3\/4)\/z) assuming z is positive.\nAnswer: z**(53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -96037, -192015, -287993?\n\"Answer: -95978*m - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -539041 (base 10) to base 2\nAnswer: -10000011100110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 10) to base 6.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48 and -0.099.\nAnswer: -4.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -72*c**4 + 6*c + 43. Let q(b) = -3*b. Calculate f(q(t)).\nAnswer: -7776*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111 + 1001?\nAnswer: 1011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 - 0.2. Let q(f) = -f**3 + 4*f**2 + 13*f - 8. Let p be q(5). Suppose p*g - 12*g - 80 = 0. Which is the nearest to 0? (a) g (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 31 + -3*16\/12. Suppose 0 = -5*q + 138 + v. Calculate the lowest common multiple of 30 and q.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 58247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14 - 29)\/((-5)\/((-10)\/(-3))). Suppose -n*p + 1394 = -3686. What are the prime factors of p?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29733 or -18094?\nAnswer: -18094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3\/5 (b) -4 (c) -3.031 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19977, 24555, 29131, 33705?\nAnswer: 38277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101110 + 1111010?\nAnswer: -10110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33894 is divided by 223.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 6*w**2 - w + 1. Let b(l) = -l - 1. Let o(x) = -b(x) + k(x). Let c be o(6). Factor 2 + 4*f**4 + 2*f**3 - 2*f + 0*f + 5*f**2 - 4*f**2 - 7*f**c.\nAnswer: 2*(f - 1)*(f + 1)**2*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181 + 253. What is the remainder when t is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -0*w + 20. Let k be (-172)\/(-36) - -3*6\/81. Suppose 10 = w*q - k. Solve 0 = q*m - 24 + 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2988 - 3230.2. Let f = 179 + t. Round f to 0 decimal places.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 13536015967.\nAnswer: 13536015966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -12, 36, 339 in increasing order.\nAnswer: -12, -5, 36, 339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 41*x + 5. Let c(n) = -20*n - 2. Let z(j) = -7*c(j) - 3*h(j). Let y be z(1). Solve 2*b - y = -f - b, 2*f + 3*b - 17 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 6)*(-5 + 5 + 9*c) as s + q*c and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h**2 + 0 - 7*h - h**2 + 7 + 0*h. Let c(x) = x**2 - x + 1. Let r = 1 - 0. Let f be r + 3*2\/(-3). What is f*s(i) + 6*c(i)?\nAnswer: i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3363 and 840885?\nAnswer: 942632085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 5, 0, -3 in decreasing order.\nAnswer: 5, 0, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/g**(2\/9)*g)**27*g**(-10)*g**(1\/18))**(-5\/9))**7 assuming g is positive.\nAnswer: g**(-40985\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 48 + a0bb3?\nAnswer: a103b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 288 and 81828.\nAnswer: 654624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 1:24 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 2*v**5\/5 + 37*v**4\/6 + 40*v**3\/3 - v**2 - 1. Let n(m) = -8*m**2 - 49*m - 27. Let a(y) = 8*n(y) + 3*t(y). Factor a(b).\nAnswer: 4*(b + 6)*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 43124 in increasing order.\nAnswer: -5, -1, 43124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**3 + 64*m + 1209. Give h(0).\nAnswer: 1209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 45. Suppose -i = -2*d + 5*c, -3*c = 2*d + 3 - 2. Suppose -5*t - d*l - 3 + 1 = 0, 5*l = -2*t - 11. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q**2 + 116*q\/9 - 32\/9 = 0. Calculate q.\nAnswer: 2\/5, 8\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.84 + 6.16. Sort y, 0.3, 3, -0.4 in decreasing order.\nAnswer: y, 3, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 821562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 42502127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/7)\/(40\/28). Let k = -0.2 + 0. Let d = k + 0.3. Which is the closest to d? (a) -1\/3 (b) u (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from atattaatatttatta. Give prob of picking 1 a and 3 t.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 896*a**2 + 84*a - 897*a**2 + 28 - 84*a.\nAnswer: -a**2 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 153081 + -93975. What is the thousands digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.65 - -261.\nAnswer: 261.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (396\/(-30))\/33*-5. What is the closest to y in 5, -3\/5, -4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630 = -8*n - 6*n. Suppose 0 = -3*c + 3*m + n, -23 = -3*c + 2*m + 18. What is the remainder when 162 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -48, -193, -436, -777, -1216, -1753, -2388?\n\"Answer: -49*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -2) + 15 + -16 + 4 + -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 742 and 49396?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-6) - -11*(-15)\/(-9). Let z = t - -46. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -33*z**2 - 10*z - 19. Let y = 12 - 24. Let r be b(y). Let l = r + -119. Round l to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9944\/14919 - -2\/14919. Find k, given that -i*k - 4\/3*k**2 + 2\/3 = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23.87 - 27\nAnswer: -3.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.101 * -1866.136.\nAnswer: 188.479736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r - 5*r + 0*r - 3*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1607 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**4 - 4*c**3 + 7797*c**2 + 393844?\nAnswer: 4*c**3 - 12*c**2 + 15594*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 524\/149933?\nAnswer: 524\/149933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10 - -18) + 32 + -5. Sort f, 2, -5.\nAnswer: -5, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328 = 3*u - 5*q, -10*u - 556 = -5*u + q. Sort -5, u, -2.\nAnswer: u, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10178946.\nAnswer: 2, 3, 19, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115632543*g**4 + 134*g**2 + 1982*g.\nAnswer: 2775181032*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 84800296 to the power of 1\/3, to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 0 - (8 - 13) - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7348 and 33843385?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 532.6574 decades?\nAnswer: 5326.574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5a7a30 + -5?\nAnswer: -5a7a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 362671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -654 - -663. Solve 2*n = 0, -7*j = -g*j + n - 12 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1476)\/(-90))\/(984\/720)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3671226 divided by 174\nAnswer: -21099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.255080583 plus 2.012?\nAnswer: 2.267080583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 360 and 441270.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1090 = -129*b - 703 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 4, -5 in descending order.\nAnswer: 4, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43695?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8570?\nAnswer: 2, 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 + t - 2. Let b be k(-2). Suppose u = -b*u + 1795. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10521.838 - 0.19561038?\nAnswer: -10522.03361038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a + 5. Let x(t) = -8*t - 4. Let j(k) = 4*u(k) + 5*x(k). Let n(i) = i. Calculate j(n(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4742, -4678, -4554, -4364, -4102, -3762, -3338?\nAnswer: -2824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -9*z + 20. Calculate the smallest common multiple of 46 and u(2).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 7*r**2 - 7*r + 1. Suppose 5*w - 32 = -2. Determine x(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.8 - 2. Let s = -13 + 7. Let j = 6.3 + s. What is the third biggest value in r, 1\/3, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = 1315 - 3259. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((69420\/(-8346))\/89)\/(-10)?\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3906\/(-5208))\/((-9)\/(-1))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3. Let k = -4 + 4.1. Is k > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206701?\nAnswer: 11, 19, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxnzllwllzlxxxf. What is prob of sequence lwl?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 a when three letters picked without replacement from {a: 3, k: 3, y: 3, f: 2, w: 2}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 737*b - 490*b - 1976 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3300)*-1*-5*3)\/((sqrt(11) - 5*(sqrt(275) + sqrt(11)))*-2*4))**2.\nAnswer: 16875\/13456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1082953*k**4 - 1823*k**2 - 105 wrt k.\nAnswer: -25990872*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 94 - 8) + (394 - 396)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4855585706 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 27*m**2 - 72*m + 226. Give a(29).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/400*4)\/(6\/4*4\/(-534))?\nAnswer: 89\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -10. Let m = c + -7. What is the units digit of 3\/((-6)\/2) - m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.3 - 10.3. Which is the third biggest value? (a) 129 (b) f (c) -2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 n, and 1 o when three letters picked without replacement from snwnoodsodss.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 17624, 4, 2, 1 in decreasing order.\nAnswer: 17624, 4, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 27*h + 9. What is c(-3)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32090346 = 30*j - 32089266 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*n + 9. Let j(d) = -25 + 2*d - d - 3*d + 9*d**2 + 22. Calculate the remainder when j(n) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 42280.\nAnswer: 126840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*1166.\nAnswer: -583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(44))\/sqrt(4) + 1*(sqrt(11) + 0).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27594833*h**4 + 782579*h**2?\nAnswer: -662275992*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(((b\/(b**(-1\/25)*b))\/b)\/b)))\/b)**22\/((b\/((b*b\/(b\/b**(-2)))\/b))\/(((b\/(b*((b*b\/(b*b**(-25)\/b))\/b)\/b))\/b)\/b)) assuming b is positive.\nAnswer: b**(-2378\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32449 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -0.06, 0.5 in descending order.\nAnswer: 0.5, -0.06, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6016.404 millilitres to litres.\nAnswer: 6.016404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*z = 43*z - 90 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oouytmmmm. Give prob of picking 1 m and 1 t.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**2 + 19*o**2 - 9*o**2 - 6*o**2 - 254*o**3.\nAnswer: -254*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*y - 2*y. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - -151?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 72*q - 245. Determine b(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2662064 and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1 + 7 = 5*b, 2*z - 2*b = 28. Suppose -z*v = -5*v. Put 3, v, 1, 5 in decreasing order.\nAnswer: 5, 3, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(((-21)\/(-35))\/(-3))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (15\/3 - (-5481)\/(-174))*2\/(-2215) and 29\/4.\nAnswer: 8860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) 2 (b) 0.1 (c) -20 (d) -0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2)\/(4\/112). Let s = 30 + q. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2002.01 and 1.\nAnswer: -2002.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14331*m + 42089 = -2000 - 41897 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (0 - -5)*(-2)\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 9 (b) 0.06 (c) -7 (d) 10 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 - -51.24399.\nAnswer: 39.24399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 + 55 = 2*c + 5*q + 6, -54 = 3*c + 27*q for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-90)\/18 + 3\/(-1). Let h(r) = r**3 + 9*r**2 + 9*r + 4. What is h(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i**2 + 35*i - 16. Give v(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5141 times -0.3\nAnswer: -1542.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108*-0.5.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*y - 89 - 104 = 0, 4*y - 95 = l. Let x = l - -194. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 122.\nAnswer: 8\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**4 + o**4 - 3*o**4 + (-o**2 + 2*o**2 - 2*o**2)*(2 - 2 - 2*o**2) + 4*o**4 - 4*o**4 + 2*o**4.\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/195 (b) -0.1 (c) -5 (d) 2\/9 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 2*y**4 - y**2 + 2*y**4 - 5 + 2*y as s*y**2 + d*y**3 + f*y + j*y**4 + b and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 4 + 215*l**2 - 82*l**2 - 55*l**2 to y + v*l**2 + q*l and give v.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 9*o + 4. Determine r(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (116\/28)\/((6\/(-252))\/(11\/66))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 4*c - 3232, -11*b + 6*b - c + 4058 = 0. Let n = b - 541. Calculate the greatest common factor of n and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*g**5 + 20241*g**4 + 2*g**2 - 1704*g - 4851.\nAnswer: 1340*g**3 + 242892*g**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.719 to one dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10262 - 10262. Solve -5*n + 5 = j, 4*g + 76 = -4*n + 64 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 17277540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 271376156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1698\/155*-153*15\/(-3600) + -7 and -9\/20.\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i - 3. What is m(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37884 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 8*i + 119. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 + 68. Let n be -2*w + 636\/72. What is the second biggest value in 21, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-12 + 21)) + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1842000 to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 66*u + 49. Let v be f(35). Let w be v\/21 + 0\/4 + 4. Put -7, w, -2\/17, -2\/11 in descending order.\nAnswer: -2\/17, -2\/11, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.177219 centuries in millennia?\nAnswer: 0.4177219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33427115?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2)*i*i)**(-36)\/(i**(2\/5))**(-2\/15))**(-7) assuming i is positive.\nAnswer: i**(94472\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 - -26. Let g be (-1)\/b + 84\/30. Solve -5*v + g*z = -0*z + 16, -v - 20 = 5*z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 1)\/(4\/20). Solve -7 = o - v, -w*o + 4*v = -4*o + 19 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -248 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n - 138. Let v be f(21). Suppose -28*c + v = -47. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.157 times 0.3?\nAnswer: -0.0471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 8:37 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*r + 40*r - 2*x, 2*x = 4*r + 12. Let m(h) = h**3 + 5*h**2 + 6*h + 2. Determine m(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**3\/3 - 2*z - 1. Suppose 6*j - 2*j = -2*t + 16, 5 = j. Give k(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 94781.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -193\/99910620 and 73\/720?\nAnswer: 399642480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 7*a**2 - 224*a + 3. Let z be i(32). Factor 0 + 4\/9*m - 2\/9*m**z + 2\/9*m**2.\nAnswer: -2*m*(m - 2)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-12))\/(-1 + 295\/(-32)). Which is smaller: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**4\/6 - 79*i**2 - i. Let h(s) = 36*s**2. Calculate h(z(u)).\nAnswer: 576*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 6\/152209?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1213 + 22851\nAnswer: 21638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 17*r**2 - 110*r - 1100. Let h(x) = -9*x**2 + 60*x + 550. Let w(s) = 6*f(s) + 11*h(s). What is the derivative of w(o) wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 209 + -203. Suppose 60 = w*b + 9*b. Solve -h - h = 3*d - 7, -17 = -3*d - b*h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*t - 10*t - 290 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -703298 (base 12) to base 9.\nAnswer: -3252888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*i - 907 - 245 = 0 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + -1120?\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 38. Suppose -x - 4 = -4*a. Suppose 6 = 2*o - 2*s, 0 = -o - a*s - 3. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - 4*m**2 + 2*m**2 + (-4 - 9*m + 8*m - 2)*(0*m + m - 2*m)*(46 + 24 - 21).\nAnswer: 48*m**2 + 294*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 179130011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 135 + -240. Let f = -422150054 + 422150159.00000043. Let b = f + p. What is b rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 42\/63 + (-592)\/6. What is the least common multiple of (-16)\/(-7) + (-2)\/7 and 5\/((-15)\/(-24))*h\/(-56)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 8, h + 6*q - 2*q + 14 = 0. Suppose 0 = 5*t - 36 + 16. Let w(s) = 9*s - 6. Let n be w(1). Put h, 5, n, t in decreasing order.\nAnswer: 5, t, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-596)\/2384)\/(1\/26).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18827 - -847139\/45. Find the common denominator of (-4)\/12 + 101\/195 and w.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -12 + 2\/(1\/(-1)). Let y = -16 - n. Is y - (3 - 2) - -27 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjvvsvvsvvvvsvvsjsvv. What is prob of picking 2 s and 1 j?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4462290?\nAnswer: 2, 3, 5, 7, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -0.3. Let b = 12 + -11.77. Let f = b + w. Put -0.1, -0.5, f in increasing order.\nAnswer: -0.5, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-828)\/(-276) - 3*160\/159?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(8\/5)\/n))\/n*n**(-2\/57))\/(n**(-2\/47)*n*n)**(-1\/6) assuming n is positive.\nAnswer: n**(-1379\/4465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.091 (b) -3 (c) -8 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 10:53 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -44617*a**2. Let n(t) = -2*t**2. What is h(n(y))?\nAnswer: -178468*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4841 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r = -17*r + 142 - 1162. Calculate the smallest common multiple of 255 and r.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 3*h + 33, 1 = -3*b - h - 24. Let z = b - -25. Solve 5*i - 7 = z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*q - 16, 3*k - q + 9 = 0. Let f be 430 + -414 - 262\/16. Which is the closest to 0? (a) f (b) k (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 5)*(-2 + 0 + 5)*(-2 + 2 - a) - 18*a + 47*a + 72*a.\nAnswer: 122*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3589 + 3585. Sort h, -2, 4, -5, -3.\nAnswer: -5, h, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, j: 2, o: 2, g: 1, p: 4, b: 2}. Give prob of picking 2 b and 1 o.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjjkk. Give prob of picking 2 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -u + 13. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(175) + -4 + sqrt(175)) + (sqrt(175)*-2 - sqrt(175)) + sqrt(175) + 0)**2.\nAnswer: -960*sqrt(7) + 6556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1015\/91 - (-2)\/(-13). Suppose -4*u + 6 + k = 3*i, 2*u = -i + 7. Suppose q + 58 = i*q. List the prime factors of q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -735.7884\nAnswer: 73.57884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*f + 2*f - 5*f)*(-f + 0*f - f) + 3*f**2 - 6*f**2 - f**2 to the form q*f**2 + m + d*f and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*j - 8*j = 49*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.137 and -525.18.\nAnswer: -528.317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 36 = c. Calculate the highest common divisor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 95045570*q**4 - 4555745*q**2 - 10*q wrt q.\nAnswer: 2281093680*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-161)\/(-49) + 4\/(-14). Suppose 4*p - 137 = -y*h, 2*h - 104 = 5*p - 8*p. Calculate the remainder when p is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4637 - 106742?\nAnswer: -113601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 + -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-43))**(-2)*(s\/(s*s**(-8)))\/(s**(20\/3)*s) assuming s is positive.\nAnswer: s**(259\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 513 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, p: 5, x: 6, l: 3}. Give prob of picking 1 w and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 40\/8 - -5)*-24. What is p rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67029 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**6\/1440 + o**5\/240 - o**4\/96 - o**3\/3 - 4*o. Let j(s) be the second derivative of c(s). Solve j(a) = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7334482 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 1\/20*f**5 - 1\/40*f**6 + 0*f**3 + 0*f + 4*f**2 + 0 + 0*f**4. Suppose o(v) = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1239*l**2 + 2*l**4 + 2*l**3 - 89 + 610*l**2 + 626*l**2 to d*l**2 + b*l**3 + v + i*l**4 + f*l and give v.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -58 + 57*d + 9*d + 40 + 47*d - 21*d in the form u*d + z and give u.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -17817*n + 45. Let i(c) = -28*c. Give j(i(v)).\nAnswer: 498876*v + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16014 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20304 is divided by 157.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*j**2 - 10*j**2 - 5*j**2)*(-13 + 13 + j) to the form u + f*j**3 + d*j + b*j**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.323 + -2.223. What is the biggest value in w, 5, 333?\nAnswer: 333","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 11:44 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**2 + s**2 - 6*s**2 - 3575*s + 4*s**2 + 3575*s.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 11*w**2 - 23*w + 17. Determine p(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*y**3 - 60*y**3 + 39*y**4 + (4*y**2 - y**2 + 2*y**2)*(7 - 7 + 5*y**2) to f*y**4 + l*y + b*y**3 + t*y**2 + j and give f.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2 + 0*f**2 + 0*f**2. Suppose -11 = 5*y - 31. Let k(o) = -y*o + 4*o + 3*o**2. Calculate k(c(n)).\nAnswer: 27*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/9 - (-14)\/6. Let i(h) = -2*h**2. Let a(b) = -2*b**2 + b. Suppose 0 = -14*n - 12*n - 78. Let z(w) = n*i(w) + v*a(w). Factor z(p).\nAnswer: 2*p*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166980, 166911, 166844, 166779, 166716?\nAnswer: 166655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -107*x**3 - 222*x - 887. What are the prime factors of r(-4)?\nAnswer: 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 10 + 6 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -13. What is the units digit of 69\/(w\/8 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5368913.\nAnswer: 11, 23, 21221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (42\/(-140))\/(6\/(-10))*64. Calculate the highest common divisor of 32 and q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 + -218a?\nAnswer: -217a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**5\/20 + f**4\/24 - f**3\/3 - f**2. Let t(m) = m**2 + m + 1. Let s = -220440 - -220439. What is s*h(g) - t(g)?\nAnswer: 2*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*7\/21*-1*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/56 + (-23)\/21.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 6*b - 4. Let m be j(-6). Let x(q) be the first derivative of -q**4\/4 - 2*q**3\/3 + 2*q**2 - 5*q + 7. What is the units digit of x(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40.75528 at least as big as -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6033.\nAnswer: 3, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 1 + 8*t**3 + 90*t + 49*t - 162*t to the form u*t + p + b*t**2 + j*t**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 3. Let g(p) = -p**3 + 1. Let o be g(2). Let f be (-7 - o)\/(-3 - -1). Calculate m(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**8\/140 - t**4\/12 + t**3 + 10*t**2. Let g(p) be the first derivative of j(p). Find the first derivative of g(v) wrt v.\nAnswer: 48*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.042 (b) -7 (c) -5\/6 (d) 1\/3 (e) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 3*t - 18. Let q be s(-7). Let w = q + -5. Suppose -5*a - 643 = -3*m, 0*a + 3*a = w*m - 1061. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -12, 909, 2, -3 in decreasing order.\nAnswer: 909, 3, 2, 1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**6\/120 + 3*i**5\/20 - i**4\/4 - 2*i**3\/3 + 2*i**2 - 63*i + 5. Suppose 7*x = 3*x + 32. Determine o(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = p + 35 + 191, -5*p - 5*i - 1160 = 0. Is (p + -6)*(-2)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -62\/1173, 8 in descending order.\nAnswer: 8, -62\/1173, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54*(-25)\/5550*(-2)\/9.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 6*j**2 + 6*j**3 + 3*j**4 + 8 + 3\/5*j**5 + 3*j. Suppose k(o) = 0. What is o?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282272915?\nAnswer: 5, 383, 147401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 108\/270*(534 - -1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 1 (b) 1.8 (c) -1\/3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 + j + 5. Let f(g) = 13*g**2 + 566*g + 21. Determine f(m) - 5*u(m).\nAnswer: -2*m**2 + 561*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 20 + (1 - 2) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**2 + 297*k + 1189. Let z be a(-4). Calculate the greatest common factor of z and 720.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -10 (b) -1\/3 (c) 0.5 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 4*s + 45 = 0, 8736 = -2*l - s + 8741 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 62. Let j be 2\/18 - 3470\/45. Let o = a - j. Is o a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g - 3*g**2 + 3 + g**2 - 2*g**3 - 3. Let o be s(-3). What is the highest common divisor of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1093*u = 4185 + 30336 - 3917 for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence booo when four letters picked without replacement from bobbbbbbbbobbbbbob.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35494511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95*d**2*f + 80223*d**2 - 19468236*d*f wrt d.\nAnswer: -190*f + 160446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80 - -87. Solve -1 = 3*o - b for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.9435 and -53?\nAnswer: 54.9435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10842325 (base 9) in base 14?\nAnswer: -9b75a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 + q**2 + 2*q**2)*(-q - 4 + 4) + 2*q**3 + 2*q**3 - 2*q**3 - 4*q**2.\nAnswer: 3*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5884168 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -4*v**4 + 44*v**3 + 48*v**2 = 0?\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 m when two letters picked without replacement from {m: 5, g: 2, s: 8}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f = j - 148, -5*f = -j - 377. What is the greatest common factor of f and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 3:26 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - 2*u**2 + 4*u**2)*((-1 - 3 + 3)*(2*u - 1 + 1) + 2*u - u - 4*u).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2 + sqrt(325)*-1)**2 + 2 + sqrt(325) + 1)*-4.\nAnswer: -1328 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9101*g**2 - 2*g - 8476.\nAnswer: -18202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4 + 7. Suppose -3*o - o + 13 = a*w, 8 = w + 5*o. Suppose w*t - 4 = -t. Solve -2*x + 8 = 4*b, x - 3 = 4*b + t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2681.68914 seconds in days?\nAnswer: 0.03103806875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -6 + -2 + 2 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5356889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwm when three letters picked without replacement from wkxwwmkwlxkxlwc?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 2*l = -3721 + 3707, -42 = 5*m - 3*l for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n*n**(-1)*n)**(-2\/57)\/((n\/n**(2\/3))\/((n*n*n**(-1))\/n)))\/((n**2)**(-13\/3))**(17\/3) assuming n is positive.\nAnswer: n**(8323\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -12. Suppose 66 = 5*g + y*h + 6, g - 4*h = -10. Is g\/(-3)*30\/(-4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(16\/7) + 2\/4. Suppose -m*s + 2*k = -s - 61, -4*k = 4*s - 88. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400251 is divided by 852?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79 - -81. Let i(f) be the first derivative of -1\/8*f**y + 4 + 0*f + 1\/12*f**3. Factor i(z).\nAnswer: z*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 9836730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-8\/3)))\/(b*b*b*b*b**(-1\/2)*b*b*b)*(b*(b*b\/(b**(-5)*b))\/b)\/b**(-3\/7) assuming b is positive.\nAnswer: b**(109\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + p + p**2 + (3 - 1 + 2)*(p**2 + 0 + 0) + (-p + 1 - 1)*(3*p - 3*p + p) + 3*p**2 + 3 - 4 - 4*p**2.\nAnswer: 3*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 19*g**2 - 2*g + 216. What is the tens digit of v(22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/940 and -69\/6110?\nAnswer: 12220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rww when three letters picked without replacement from qppprwpwzpzrt?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -11. Suppose 5*z + 0*z - 400 = -t*n, z - 2*n - 68 = 0. Suppose -z + 28 = -4*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 191 + -172. Suppose -7*s + d*s = 60. Solve 0*h + s*u = 5*h, -3*h - 3*u = -24 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 770 = -5*q + 3*m + 773, 8*m + 5*m = -q + 55 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 3*y - 6. Let k be s(4). What is the remainder when 52 is divided by k\/1*(-9)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1\/8, 2\/2949, -0.56, -1.3?\nAnswer: 2\/2949","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16893 = 31*r - 7225. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12794722632.862 - -3?\nAnswer: -12794722629.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 2:44 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*d - 0*d - 22, 2*u = -10. Solve d = -r + x, 3*r + 5 = -3*x + 4*x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16024 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3882 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: Solve -1\/4*u**4 + 5*u**2 + 0 + 0*u + 2*u**3 = 0.\nAnswer: -2, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -214\/11*z + 4\/11*z**5 - 2\/11*z**2 + 642\/11*z**3 + 434\/11*z**4 + 0 = 0.\nAnswer: -107, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 203\/1273140 and 131\/2777760?\nAnswer: 30555360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 14*d**3 - 2*d - 2. Let p(h) = -28*h**3 + 5*h + 3. Let v(s) = -5*i(s) - 2*p(s). Differentiate v(y) with respect to y.\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 4*i + 741. Suppose i = 8*j - 827. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 4*s + s. Suppose -2*b = -b - s. Suppose 10*j - 2646 = -4*j. Calculate the greatest common divisor of b and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1518595 is divided by 146.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32338 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*p - p. Suppose y = 2*y - p. Factor y*j**3 + 6 - 3 - 2*j - 3*j**2 - j.\nAnswer: 3*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 + 2*y. Let c(f) = 5*f**2 + 286*f - 4. Determine c(l) - 3*v(l).\nAnswer: -l**2 + 280*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1591569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 117*d**2 - 3*d - 2. Suppose 0 = 4*y - 5 + 13. What are the prime factors of x(y)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 3 (c) 4\/3 (d) -25448\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 - n**3 + n**3)*(169*n + 52*n - 36*n).\nAnswer: -185*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -12323, 2, 15, -5, 3 in ascending order.\nAnswer: -12323, -5, 2, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*j**2 + 101*j - 8 - 101*j - 278*j**2.\nAnswer: 3*j**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6798 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**2 - g**2 + 3*g**2)*(-19 + 70 - 9392*g - 24 - 27) as y + a*g + x*g**2 + v*g**3 and give v.\nAnswer: -18784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 + 121. Suppose 2*c - 105 = -7. Suppose 0 = -5*f + c + t. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 460 = k. Let l(h) = -h**3 - 7*h**2 - 8*h - 7. Calculate the remainder when (32\/(-20))\/4 - k\/(-5) is divided by l(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 168.026 and 0.5.\nAnswer: 168.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -54\/31, 0.9 in increasing order.\nAnswer: -3, -54\/31, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25926643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c - c)*(-3 + 4*c**2 - 5*c**2 - c**2).\nAnswer: 2*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m + 14. What is the tens digit of f(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -51146, -51162, -51174, -51176, -51162?\n\"Answer: d**3 - 4*d**2 - 11*d - 51132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 480.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-3)*15*(-13)\/520)\/(6\/72)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -89, -3, 8, -4.\nAnswer: -89, -5, -4, -3, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4))**(-2\/19)\/((u*u**(-1))\/u*u**(-8)\/u)*(u\/(u*(u**(1\/3)*u*u*u)\/u))**(-35)*(u\/(u**(1\/2)*u))**(1\/3) assuming u is positive.\nAnswer: u**(1739\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-48)\/36)\/(28\/(-105)))\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13638091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*u + 17, -u = -2*v - 2*v. Let n be (9 - 2) + v\/(2 + -1). Suppose -n*r + 7*r - 11 = 0. Solve -5*m - q - 2 = -2*m, 3*q = -4*m - r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 246011?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 97580189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 14740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -dd?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(1\/12)\/g)\/(g*g*(g*g**(-1\/12)\/g*g*g)\/g*g)*g*g**2*g*g**(-2\/3))**(-10) assuming g is positive.\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h - 4*h**4 - 3*h**3 + 8*h**3 + 6*h**4 in the form d + f*h**3 + k*h + s*h**2 + p*h**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-405)\/(-36))\/15)\/(108\/64)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 63, 59, 53?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 164.27427 months in centuries?\nAnswer: 0.136895225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -482 - -311. Let j = m + 177. Solve t - j*t = -4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 159, 329, 565, 867?\nAnswer: 1235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4744.8313646928 + 0?\nAnswer: 4744.8313646928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 6:41 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.8 - -12.8. What is the nearest to -0.1 in -0.2, 5, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2224 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352468181.\nAnswer: 13, 47, 733, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.3 - 2.3. Which is the second smallest value? (a) 2\/7 (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(40\/15)*4. Let u be (-2)\/(-2) + p - -4*3. Solve -12*v = -u*v - 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 31*f + 168. Let a be m(-7). Solve -4*o + 4*y + 20 = 0, a*y - 5*y = 15 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 4:57 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 152356 + -48209. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 215865?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 = -r - 6, 2*q = -5*r - 12. Let w = r + 0. Let x(h) be the second derivative of 2*h**3\/3 - h**2\/2 + 2*h. Calculate x(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -818275 divided by 4\nAnswer: -818275\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(125) + 0 - sqrt(125)) + 3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -428 + 4197. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**5\/5 - 1007*x**4\/5 - 5693*x**3 - 100809*x**2\/5 - 14670*x = 0.\nAnswer: -978, -25, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 113 or -2868?\nAnswer: -2868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -3, 28, 0, -23\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/18 and 4\/(-1530) + (15\/(-50))\/(-1).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(3\/17))\/(c*(c\/(c*c**33))\/c))\/(c**8)**46 assuming c is positive.\nAnswer: c**(-5681\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 2 - 2*j**2 - 3*j**3 - j**2. Let i(q) be the first derivative of q**4\/4 + q**3\/3 - 6. Determine 2*i(k) + n(k).\nAnswer: -k**3 - 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 35*u**2 + 40*u - 80.\nAnswer: 5*(u - 1)*(u + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3962187661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7246 + 7266. Solve -14 = -w*d - 134 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16540892 less than -17?\nAnswer: -16540909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + n + 2 = -n, 4*x - 2*n = 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180503 + 498270 = -13*b + 60*b. List the prime factors of b.\nAnswer: 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1053 divided by -81.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (117\/39)\/((-2)\/(4\/(-45))).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c - 1. Let w(f) = -2*f. Let n(i) = 2*h(i) - 5*w(i). Let d be n(4). Solve -3*y = -0 - d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 21*w**2 - 1. Let j be c(-1). Suppose -2*h = -5*n - 25, h - n - 1 - 16 = 0. What is the greatest common divisor of j and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 7*f - 9*f - 3520 = 0, h = -3*f + 721. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2. Let m(a) be the third derivative of a**4\/12 + 31*a**3\/2 + 2*a**2 - a - 812. What is m(h(x))?\nAnswer: -2*x**2 + 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3 = -0*t. What is r in -20*r**2 - 3*r - 3*r**4 + 17*r + 32*r**4 + 25*r**4 - 2 - 36*r**t + 54*r**5 = 0?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79455*y = -4*v + 79453*y - 6, 2*v - v + 2*y = y for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-24)*12 - 6\/28. Which is the fifth smallest value? (a) 1\/5 (b) -6 (c) 3 (d) -8 (e) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nynn when four letters picked without replacement from {n: 5, y: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.9 + 0.1. Let j = -363 - -366. Which is the smallest value? (a) 7 (b) k (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 9*b**2 + 12.\nAnswer: 3*(b - 2)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63308?\nAnswer: 2, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*n**5 - n**3 - 808*n**2 - 33*n - 894 wrt n?\nAnswer: -160*n**3 - 6*n - 1616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by (3 - 81\/18)\/(6\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - x. Let o be (0 + 0)*3\/6. Let r(m) be the second derivative of 1\/4*m**4 + o*m**2 - m + 0 - 2\/3*m**3. Give -r(a) + 4*y(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 10714.7188 to the nearest ten.\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**3\/6 - p**2\/2 + 3*p - 1. Let u(i) = 4*i - 2. Give -2*u(c) + 7*w(c).\nAnswer: -c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 17 - 5. Suppose t*p - 206 = 3*r, 3*p - 63 - 90 = 3*r. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/13952664 and 125\/229416.\nAnswer: 153479304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35886 + 71773 - 3*r - 35887.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11948, 23873, 35798, 47723?\n\"Answer: 11925*h + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.33?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = 5*x - 3*k - 34, 0 = 4*x - 4*k - 56. Let m(l) = l**3 - 6*l**2 + 8*l - 5. Let i be m(5). What is the greatest common divisor of i and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -359.468.\nAnswer: -359.368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 + 84. Let i = 43 - q. Suppose -14*w + 32 = -i*w. Which is smaller: w or 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(405)*-1 - -3*sqrt(405)*3.\nAnswer: 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 7452.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3479, -6941, -10391, -13829, -17255, -20669?\n\"Answer: 6*f**2 - 3480*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1900) + sqrt(1900)*5 + -5 + sqrt(1900)) + 3*(sqrt(1900) + 2*-5*sqrt(1900)))**2*-2.\nAnswer: -856800 + 18000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8132712047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*t = 18, 5*o + t = -9 + 2. Suppose 0 = b - 4*b + l - 66, 0 = 4*b - 2*l + 90. What is the tens digit of (-3)\/o*(-476)\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 580497 and 621?\nAnswer: 5224473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7398?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1552738564 divided by -2\nAnswer: 776369282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by -3 + 10 + 20\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/8)\/(-5)*(16 - 4). Suppose u*b = 3*c + 516, 3*c = -4*b + 921 - 254. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -1. Let v(s) = -48*s**2 - s - 9. Let z(b) = -24*b**2 - b - 4. Let d(a) = p*z(a) + 2*v(a). Is d(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*l = 0, -3*l = -5*z + 2 + 38. Differentiate 5*x**2 + 3 - x**2 - z*x**2 with respect to x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 617 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6 + 31*k + 27*k - 50*k. Let v(t) be the third derivative of 2*t**2 + 1\/3*t**3 + 0*t - 1\/8*t**4 + 0. Determine -4*u(s) - 11*v(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780136599?\nAnswer: 3, 11, 19, 839, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 5*l + 16, 0 = -4*q - l + 2*l - 6. Let y be q\/5 - (-36)\/90. Let i be (-4)\/(-10) - (-2)\/(-5). Is y at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 36*g + 127. Calculate w(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 2\/65, -54 in decreasing order.\nAnswer: 14, 2\/65, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -1096 and -1097 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11576710 (base 8) to base 5.\nAnswer: -1123232321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 8 - 29 = 0. Suppose -139 = -5*z + 2*u, z = -u + 32 - x. Let r = z + -28. Which is the closest to r? (a) -1 (b) 4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 265*j**7\/21 - 469*j**4\/2 + 338*j. Find the third derivative of n(u) wrt u.\nAnswer: 31800*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**2 + 151*v\/3 + 34\/3 = 0.\nAnswer: -2\/9, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 12. Let g = -204\/29 - -2525\/58. What is the common denominator of (-109)\/m - (-1 - -1) and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 46 = -61. Find m such that 142*m**3 + m**2 - 10*m + 144*m**c + 8 - 285*m**3 = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0*p - 25. Let v = 7 - p. Suppose 0 = 3*h + u - 11, v*h + 4*u = -0*h + 4. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = n + 5*f + 19, -n - 19 = 3*f. Let l(d) = -5*d + 2. Let c(h) = 14*h - 7. Let u(s) = 4*c(s) + 11*l(s). Let t(y) = y - 5. Give n*u(i) + 5*t(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14769346313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-2)\/(3 - 1). Let z = c - 2. Let f be (2 - 3)\/((-2 + -1)\/(-39)). Is z < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(560) - ((sqrt(560) - (sqrt(560) + (sqrt(560) - sqrt(560)*2) - sqrt(560))) + sqrt(560)))\/sqrt(10) + sqrt(56))\/(sqrt(16)\/sqrt(2)*4))**2.\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 19)\/((-2975)\/2625)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n + 5*j = -0*j - 0*j, -j + 0*j + 39 = -0*n - 5*n - 0*j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p + 3*p + p**3 + 0*p + 10*p**2 + 0*p**2 + 10 to the form k*p**2 + y*p**3 + n*p + d and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 561628218 to the power of 1\/3, to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/14 in -9011, -0.3, 0, -2\/3, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (304\/988)\/(6\/(-195)) + 21 + -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.4 (b) 7\/8 (c) 2\/13 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5448.476 millimeters to nanometers.\nAnswer: 5448476000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((1\/5)\/(4\/(-5)))\/((-37)\/740). Solve -5*o = -6*o + 2*f - 3, -r*f = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*g**3 + 25*g - 215.\nAnswer: 12*g**2 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 17 - v**3 + 0.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4114688 days in hours?\nAnswer: 9.8752512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -992 (b) -5 (c) 4\/209\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 193.45, 2, -480, -5\/2?\nAnswer: -480","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.62026306 to 0 dps.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (17 - -28 - 14) + 0 + -60.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26286 or -26273?\nAnswer: -26273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j*j**(-3))\/j)\/j**(1\/10)*(j*j**(5\/6)*j)\/j**1)\/((j*j**(3\/2))**(1\/10))**(11\/6) assuming j is positive.\nAnswer: j**(-29\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = 4*c + 66. Let s(n) = -n**3 - 6*n**2 + 3*n + 3. Determine s(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1017424*w - 1017424*w - 132*w**2 to the form h + t*w**2 + s*w and give t.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -34*m - 843. Let v be j(-25). Solve 4*o - 18 = 5*q, v*o - 4*o + 5*q + 4 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17000 to the nearest 100.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/21*6*((-23919)\/(-102))\/67.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16483\/12 - -1376. Find the common denominator of f and -1604*(-30)\/(-34272) + (-6)\/(-63).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 5) to base 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (212*f - 406*f - 4 - 556*f)*(-3*f**4 + f**4 - 2*f**4).\nAnswer: 3000*f**5 + 16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*t + 6. Suppose 2*h = z, -z - 3*h + 9 = -t*h. Solve z*v - v + 15 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*a = 3*u + 14, -3*a + 7 = -u. Let d be 8\/(-2)*u\/8. What is the tens digit of d\/7 + 159\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001048212219 to six dps.\nAnswer: -0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 105340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 12*l**4 + 4*l**3 + 4*l - 17. Let v(s) = 24*s**4 + 9*s**3 + 9*s - 34. Let m(x) = 4*v(x) - 9*z(x). Differentiate m(h) wrt h.\nAnswer: -48*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71990133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 494 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9\/(g*(g*g**(1\/16)*g)\/g)*(g\/g**(1\/53))\/g**(-41))**(11\/7) assuming g is positive.\nAnswer: g**(456313\/5936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(14616\/(-290))*9\/(-3)*(-42)\/5?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fgg when three letters picked without replacement from {r: 4, g: 5, f: 5}?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-12)*1*(87 + (-17794)\/205).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p + 2 - 2)*(31 + 6 + 6)*(3 - 3 + 2*p).\nAnswer: -602*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 134 + -71. Suppose 2*p = -4*r - 1 + 9, -2*p + 2*r - 4 = 0. Does 21 divide u\/(-9)*(-6 - p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -13 (c) -0.1 (d) 5\/2 (e) 741 (f) 4\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7593 divide 125127587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2154339 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001011111110010 (base 2) in base 5?\nAnswer: -2221043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 201426?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-44)\/(-3))\/(4\/6). Suppose 2*d = 4*u, -3*d = 3*u - g + 4. Calculate the smallest common multiple of 59\/3 - ((-6)\/9)\/u and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -247, 4661, 3 in decreasing order.\nAnswer: 4661, 3, -0.06, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 1. Let p(c) = 4*c + 2. Let g(u) = -2*m(u) - p(u). Let z(y) = 65*y**2 - 106*y**2 + 48*y**2. What is g(z(h))?\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 916*x - 304*x - 318*x - 110 - 324*x. Let d be o(-9). Calculate the greatest common factor of d and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -10. Suppose 2*l + 39 = 5*l. Calculate the remainder when l is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 g, and 1 m when three letters picked without replacement from {m: 1, y: 1, b: 1, g: 1, l: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*w - 46. Let s = -19 - w. What is the third derivative of 10*b**4 + 33*b**2 + 4*b**s + 5*b**4 wrt b?\nAnswer: 456*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*q = 1716, -1145 = -2*v - 0*q + q. Let u = v - 320. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5048.34 - 5041.33838. Let g = -7 + h. Round g to 4 dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**2\/2 - 913*y - 833569\/2 = 0.\nAnswer: -913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**2 - 2*o**2 + 4*o**2)*(-2 + 2*o + 2) in the form u*o**2 + f*o**3 + i + h*o and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*p**2 + 3*p**3 + 6 - 89*p - 7 - 41*p**2 + 19*p**2 in the form j*p**2 + s*p + c*p**3 + w and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23.49 - -23.3661. Let h = 0.0662 + y. What is h rounded to three decimal places?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 6*l**2 + 6*l + 8. Let v be a(-5). Suppose 2*s + 2*b - 1 = 31, 4*s - 63 = -v*b. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yg when two letters picked without replacement from {v: 1, g: 2, m: 2, p: 1, o: 1, y: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3\/7)*n**5\/n*n*n\/(n*n**(3\/5))*n*n*n*((n\/(n\/n**(-6)))\/n*n)\/n*n assuming n is positive.\nAnswer: n**(34\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3519*n - 122538 = 49187 + 152023 for n.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-2)*12\/(-9). Suppose -2*h - 26560 = -3*u + 5240, -21200 = -d*u - 2*h. Round u to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -161*y - 42*y + 263*y - 1200 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24455.9999901797 - 24456. Round d to seven decimal places.\nAnswer: -0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/74*(-24)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 4*b + 8, -c = -b - 3*c - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 6*j - 68 = 3*j, -5*i - 5*j = 60. Let q = i - -9. Is 2*(-6)\/q*3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21474 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 9:16 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*c + 5. Suppose -2*b = j - 6, c*b = -j + 6*b + 6. Solve -4*o - 4*r = 16, -3*r + 17 = 2*o - j*r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 582 = -5*t + t, -3*c + 351 = -3*t. Suppose 4*l + 14 = c. Calculate the remainder when l is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (33\/(-4))\/(1\/4). Let c be (-2)\/3*k\/(-2). Is -9 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.74 + -0.6. Let q = p - -1.1. Let t = q + 0.2400082. Round t to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -353 (base 11) in base 8?\nAnswer: -645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1\/2*(-104)\/(-39).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7521 - 5098. What are the prime factors of t?\nAnswer: 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*y = -62 - 47, -y = -b - 47. Let v = 37 + b. Let x(i) = -i**2 - 18*i - 22. What is the tens digit of x(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -4*j + 2 - 1\/2*j**2. Let w be f(-6). Solve -l + 9 = w*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-65 - 5 + 139)*(20 + 11*j - 20) to the form l + n*j and give n.\nAnswer: 759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -63)\/8 + (0 - (-220)\/(-32)).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9 + -7)*141\/(-12)*-4. Calculate the greatest common divisor of 6 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*n**2 + 407*n**2 + 746*n**2 + 133335 - 133335.\nAnswer: 1117*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 171 and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 6 = 3*y, -36*i + 32*i = -y - 15. Suppose -3 = -2*r + 1. Let w(n) = 2*n**r - 3*n**2 + 3*n + 2*n**2 + 4. Determine w(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 4) + 5 + -6 + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 282 + -286 - (6 + 0 + 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*d + 40. Let r = d + -5. Solve r*t - 23 = 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0099884821 rounded to six dps?\nAnswer: -0.009988","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -203 * 0.8.\nAnswer: -162.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5712.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 155 = 3*x - 7, -x + 49 = -2*n. Solve -11*w + x = 15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1055 or 5274\/5?\nAnswer: 1055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 26\/23 (c) 0.4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8890 + -26644\/3. Which is the smallest value? (a) s (b) 0 (c) -13\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*t**2 + 2*t**3 - 3159 + 0*t**3 + 0*t**2 - 2*t**3 - 8*t**3 + 3*t with respect to t.\nAnswer: -24*t**2 + 8*t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -2. Calculate the remainder when 8 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(3\/6*-2). Let y(t) = t**3 - 5*t**2 - t - 1. Suppose 0 = -4*s - 6 + 10. Let q(h) = -h**2 + h. Let c(j) = s*q(j) - y(j). What is c(d)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v**(-2\/3)\/v)\/v)**(-20\/7))**(-2\/9))**(-1\/14))**(1\/28) assuming v is positive.\nAnswer: v**(40\/9261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 19. Suppose 2*v - 4*a - 2 = 0, 4*a = -2*v - 0 + 10. Suppose -2*i - 5*p = -30, 4*i - v*p - 2*p = 0. Calculate the greatest common divisor of b and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -440 from 27181997.\nAnswer: 27182437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 620 + -1120. Let a = p - -502. Solve 2*t - a*c + 4 = 0, -c - 10 = t + 2*c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/(354\/25 + (-42 - -28)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 851851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 9 + 16 - 45 - 33 + 3*h + 18 + 19.\nAnswer: 3*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -66732 less than -67690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**4\/4 - 1514*z**3 + 1519*z**2 + 3675. Find the second derivative of m(r) wrt r.\nAnswer: -6*r - 9084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r - 1. Suppose -5*q + 4 - 9 = 5*t, 0 = 2*t - 2*q + 14. List the prime factors of d(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*v = -29, -l = v - 5*v - 4. Let b = 11 - l. Solve 3*k + 4*g = -b, -3*k + 15 = -5*g + 3*g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*8 + 206403\/(-11574)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5503 - -2?\nAnswer: 5505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27819260, -55638537, -83457824, -111277127, -139096452, -166915805?\nAnswer: -194735192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - n**2 - 4*n + 2. Let g(a) = -2*a**3 + 2*a**2 + 2*a - 2. Calculate 3*d(t) + 2*g(t).\nAnswer: -t**3 + t**2 - 8*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1743?\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -3. Let o = g - 4. What is the remainder when 5 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 2 - 8*o**3 + 6*o + 4. Let t(u) = 15*u**3 - 9*u - 11. Suppose 5535 = 895*c - 4310. Determine c*y(k) + 6*t(k).\nAnswer: 2*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 - -10?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 16\/3*n**3 + 2 + 7*n**2 + 3\/2*n**4 + 4*n. Factor m(g).\nAnswer: 2*(g + 1)**2*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 l, 1 b, and 1 k when four letters picked without replacement from blbkkklbqb.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*-1)\/(4\/(-16)). Let a be (-33)\/((-2)\/n*2). What is the units digit of (-3 + a\/6)*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 184*r**6 + 4*r**5 - 11*r**5 + 10*r**5 - 82*r**2 - 3*r**5 wrt r.\nAnswer: 22080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -15*m + 1814. Let g be n(115). Solve -140 = -61*a + g*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 12*w. Suppose 4*k - 4*d = -d - 10, -3*k - 5*d + 7 = w. Let m(f) = -629*f**3 + f**2 - f - 1. Let a be m(k). Round a to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*x**6 - 9*x**5 + 34*x**2 - 2*x wrt x.\nAnswer: -600*x**3 - 540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 247147 + -247000.899. Let d = -146 + a. What is d rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 - -39)*4\/8*5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3282 = 2*n, 13 = -4*i + 17. List the prime factors of n.\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 1, -12, -4 in ascending order.\nAnswer: -12, -4, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u - 13. Suppose -13 + 5 = -i. Let q be g(i). Find the second derivative of 2*r - 3*r**4 - q + 4 - 1 wrt r.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2. Let c(s) be the second derivative of -s**3\/6 - 3*s**2\/2 - 869*s. What is 4*c(g) - 6*x(g)?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2888291 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 3*l + 4*m, -2*m = -2*l - 6*m + 64. Let z = 98 + -13. Calculate the highest common factor of z and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23981 + 24695 = 33*t - 12*t for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 24 = -2*c, -34*c = -5*w - 35*c for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/30 and -91\/37194.\nAnswer: 185970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -662, -5509, -18682, -44345, -86662?\n\"Answer: -694*y**3 + y**2 + 8*y + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -502, -508, -514?\nAnswer: -520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (0 - 2) + 10\/50.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 6:49 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + -39 + 66 + -2 + -8.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -12. Suppose r = -o - 0*o + 25. Calculate the remainder when o is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5139819 rounded to four decimal places?\nAnswer: -1.514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-490)*-7 - 6\/14. Suppose -y = 2*v - 4 - 16, y = 4*v - 34. Suppose v = b - 4*b. Sort n, b, 4 in decreasing order.\nAnswer: 4, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1558790 and 779395.\nAnswer: 1558790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6992 and 276.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210, -211, -212, -213, -214, -215?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 4.2. Let w = x - 0.8. Put 1\/3, 0.5, w in descending order.\nAnswer: 0.5, 1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59282.\nAnswer: 2, 29641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5922*l = 106490 + 420568 for l.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7099244 divided by 4\nAnswer: -1774811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**4 + 0*y**4 + 10*y**4 + (y**3 - 2*y**3 - 3*y**3)*(1 - 2*y - 1) + 2*y**4 - 2*y**4 + 2*y**4.\nAnswer: 25*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3 = 1. Let f be h\/(-4) - (-14)\/8. Is -0.1 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10926 + 163822\/15. Calculate the common denominator of f and -107\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1216*l**3 - 1210*l**3 - 1214*l**3 + 4826*l**3 - 2*l**2 - 1180*l**3 + 2*l**2.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.329256 microseconds in nanoseconds?\nAnswer: 329.256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*j**2 - 4*j + 4*j + 737*j**2 + 1390*j**2 to w*j**2 + v + s*j and give w.\nAnswer: 2071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8721 divided by 11620\nAnswer: 8721\/11620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - m - m + (0*m + 3*m - 4*m)*(3 - 1 - 4))*((-2 + 2 + m)*(-2 + 3 - 3) - m + 3 - 3).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16409275*k - 2306095.\nAnswer: 16409275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 12*g**2 - 11*g. Let m(b) = -3*b**3 - 39*b**2 + 34*b + 1. Let v(c) = 2*m(c) + 7*y(c). What is v(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2292 divided by -382?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -272273.0217 - -272324. Let h = s - 51. What is h rounded to three decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -23897.1 and -268.\nAnswer: -24165.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2 (b) -0.1 (c) -5 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*o + 197*o**3 - 99*o.\nAnswer: 197*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163545?\nAnswer: 3, 5, 10903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 169 and 416?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 666486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -197, -471, -929, -1571, -2397, -3407, -4601?\nAnswer: -5979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -27, -46, -81, -138, -223?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 6*b - 1 - 3*b - 5137*b**2.\nAnswer: -5137*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1450221, -1450254, -1450287, -1450320, -1450353?\n\"Answer: -33*q - 1450188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1936 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -8*w - 13. Let k(u) = 8*u + 62 - 7 - 18. What is the remainder when k(16) is divided by b(-7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 544 or 547?\nAnswer: 547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196902136?\nAnswer: 2, 1613, 15259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -39. Let h = 3.7 + s. Which is the closest to 1? (a) h (b) 1\/6 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212 + 30?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 51243 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211173711?\nAnswer: 3, 7, 17, 591523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5253\/(-31527))\/(6\/(-72)) + -2. Let n = -28046\/38533 - q. Is n greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291800 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1742, 104, -28 in increasing order.\nAnswer: -28, 3, 104, 1742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19004.\nAnswer: 2, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(7\/4)*b)\/b**(-1\/3))\/(b**(2\/13)\/b*b\/((b\/(b\/(b\/(b*(b*b**(1\/4))\/b)))*b*b)\/b)*b*b) assuming b is positive.\nAnswer: b**(209\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 8 = 26. Suppose 0*u = -2*u + i. Suppose 5*f - o - 155 = -2*o, -2*o - 80 = -u*f. Solve 2*y - 5*k = -0*y - f, -y = -3*k + 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-40)*i*(i*i**(2\/23)*i)\/i*i)\/(i**(7\/8)\/i)**(44\/3) assuming i is positive.\nAnswer: i**(-4703\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -923514*t - 40. Let q be d(2). Let l = q - -1291068. What is l rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -135 - -179. Let u = 90 - w. Calculate the greatest common factor of 23 and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3\/5 + 114948*h**2 - 1149466*h\/5 - 1724208\/5 = 0 for h.\nAnswer: -1, 3, 287368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18122966 to the nearest integer?\nAnswer: 4257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -56626.01 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7*-3*(-4)\/(-6). Let j = w - -13. Let s be -80*(-1452 + 1 - j). What is s rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.65 - 20.62. What is the biggest value in 6, u, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11120, -11156, -11192, -11228, -11264, -11300?\nAnswer: -11336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-4*207\/368)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*j - 16, 4*j + 6 + 6 = 0. Let z be 2\/u - (-23)\/(-5). Suppose 4*a - 8 + 8 = 0. Put a, z, 5 in ascending order.\nAnswer: z, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 192606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 - 2*a**4 + 0*a**2 + (3*a**3 + 0*a**3 - a**3)*(3*a - 2*a - 3*a) + a**4 - 3*a + 3*a + 0*a**4 + a**4 + 2*a**4 - a**4 + 9*a**4 + 6*a**4.\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11632, 11664, 11706, 11764, 11844?\n\"Answer: q**3 - q**2 + 28*q + 11604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 281, 1019, 2247, 3965, 6173, 8871, 12059?\nAnswer: 15737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -14*c - 2. Let z be f(-5). Let r = z + -9. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.424936 minutes in hours?\nAnswer: 0.3904156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445701*j = -445665*j + 1476 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/6)\/((-2)\/3). Let l(f) = -f**3 + f**2 + 1. Let k(t) = -5*t**3 + 2*t**2 - 2*t + 3. Determine u*k(g) + 3*l(g).\nAnswer: 2*g**3 + g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 2)*((1 - 1 + 2)*(3 - 2*d - 3) + 4*d - 2*d - d + 2*d + 0*d + 0*d - 3*d + 5*d + 3*d - d + 2*d + d - 2*d + 4*d - 3*d).\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 7, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.38 and 43 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -254*a*b**3*j*q + 2*a*b*j + 19*a*j + 9*b**3*j + 2*b**2*j*q + j*q wrt q.\nAnswer: -254*a*b**3*j + 2*b**2*j + j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 2. Let a(c) = c**3 - c**3 - 2*c + v + c**2 + 3*c**3 + c**2. Give a(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -46?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + -6*(-1*sqrt(119) - sqrt(119)) + sqrt(119))\/(sqrt(7) - 6*sqrt(28)\/sqrt(4)))**2.\nAnswer: 3332\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 661 (base 16) to base 7\nAnswer: 4522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 777\/56 - (-2 + 1)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1055)\/(-844))\/((-10)\/12)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2)*-3*2. Suppose 7*t - l*t - 2*j = 58, -2*t + 3*j + 39 = 0. Solve 0 = -4*h + t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 699*g - 557. Let y(f) = 4*f**2. Give q(y(v)).\nAnswer: 2796*v**2 - 557","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2638.\nAnswer: 2, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1263525 is divided by 97?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 60.80461 nanoseconds?\nAnswer: 0.00006080461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, z: 2, v: 2, b: 1, p: 8}. What is prob of picking 1 b, 1 p, and 1 z?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**2*k + 903*c**2 - 26*k**2 + 1 wrt k?\nAnswer: c**2 - 52*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1288 and 4536.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 6 = -w, 0*q + 18 = -2*w - 5*q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 49566*p - 148666. Give s(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v + 14. Let d(y) = 7*y + 25. Let s(z) = -4*d(z) + 9*h(z). Let p be s(24). Find m such that 0*m + 8\/15 - 2\/15*m**3 - 2\/5*m**p = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 257, 807, 1783, 3233, 5205?\nAnswer: 7747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqq when three letters picked without replacement from qqql?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 3:53 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 367 = -28*f, -21 + 12 = -2*f + 4*b + 13 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*k**2*u + k**2 + 48*k*u - 1556*k wrt u?\nAnswer: -3*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = 18*p - 22*p. Solve 0 = -2*m + p - 43 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + (-8)\/(-1) - 0. Suppose -2*j + y + 9 = 0, -3*y - 15 = -r*j - 4*y. What is the third derivative of -11 - j*z**2 + 8*z**5 - 3*z**2 + 11 wrt z?\nAnswer: 480*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -3. Suppose 2*u + u - 9 = x. What is the highest common factor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23121 (base 4) to base 3\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**4\/12 - 11*c**3\/6 + 4*c**2 + 3*c. Let o be q(7). Let r be 24\/(-10) - 8\/o. Round r to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137488 less than 0.435138?\nAnswer: -137487.564862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = -6*o - 3*m - 69, 2*m - 4*m - 3*m - 43 = 2*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**5\/60 - h**2 + 9. Let i(f) = 2*f - 10*f + 0*f. Give r(i(n)).\nAnswer: 64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 154\/(-30) + 153\/135 + -1. Let q = 107 + -103. Let r = -2 + 1.9. Which is the fourth smallest value? (a) 3\/2 (b) q (c) r (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1443 = -5*n, 0 = -153*n + 150*n - 5*h - 879. Is -276 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*d + 178 - 440 - 631 - 114 = 0 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g**3 + 1 - 1 - 17*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*l + 3779 - 3184 = 40*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -358 - -2559. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 2346032?\nAnswer: 2346034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, i: 4, c: 1, y: 2, r: 2, f: 1}. What is prob of picking 1 b, 1 r, and 1 i?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/11*c + 6\/11*c**2 - 2\/11*c**3 + 2\/11.\nAnswer: -2*(c - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**7\/14 - 2*w**3\/3 + 4*w - 3. Let h(n) be the first derivative of d(n). Find the second derivative of h(m) wrt m.\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 57963*k + 7 + 6.\nAnswer: 57963*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**8\/224 - 22*y**7\/315 + 47*y**6\/720 + 41*y**5\/60 - 59*y**4\/36 + 10*y**3\/9 + 558*y**2. Let h(f) = 0. Calculate f.\nAnswer: -10, -2, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*c = 122*c - 59*c - 114 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -341875, -3, 189 in ascending order.\nAnswer: -341875, -3, -1, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59.63 + 162.\nAnswer: 102.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 45, -58, -12 in descending order.\nAnswer: 45, -12, -50, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**3 + 540*p**2 + 536*p - 20. What is d(-179)?\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1350 and 494400.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.975 + 0.065. Round z to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 622989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0091 and -0.4?\nAnswer: 0.00364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -813*g**2 + 69 - 1537*g**2 + 61 - 130 to j + a*g + o*g**2 and give o.\nAnswer: -2350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-8)\/4)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -26622 = -2807?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - 0.4. Let l = 11742 + -11742.2. What is the closest to 1 in 2\/3, l, j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17440487592154 and 1.\nAnswer: 17440487592155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 16, 2*l + j - 2 = 6. Suppose 2*y + 5*w = l, 5*y = 2*w + 25 + 19. Solve 2*b = -y, i + 2*b + 11 = -0*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/((-12)\/(-10))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -1\/540*m**6 - 14*m**2 - 2\/945*m**7 + 0 + 0*m**4 + 1\/135*m**5 + 0*m**3 + 1\/1512*m**8 + 3*m. Solve u(o) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10904, -21793, -32698, -43625, -54580, -65569, -76598?\nAnswer: -87673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/1013 and 51\/548?\nAnswer: 555124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 - 6*q**2 + 3*q**2 + (-3*q + 2*q - q)*(4*q - q - q) - 3*q**2 + 4*q**2 + 0*q**2 + 3*q**2 - 2*q**2 - 2*q**2 - 3*q**2 + q**2 + q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126\/(-3)*(-15)\/315*-7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 520, 934, 1142, 1042, 532, -490, -2126, -4478?\nAnswer: -7648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(243) + sqrt(243) + 0 + sqrt(243) + 1))**2 - (-1 + -2*sqrt(81)\/sqrt(3))**2)*2.\nAnswer: 1704*sqrt(3) + 69798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7\/3*l**2 + 9 - 17\/2*l - 1\/6*l**3 = 0. What is l?\nAnswer: 2, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 104 = q, 3*q + i - 2*i = -273. Let m be ((-3)\/(-3))\/(q\/(-8)). Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6710)\/3355*((-2)\/(-2))\/(6\/(-39))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 688432, -2\/5, 1\/2, 5\/4?\nAnswer: 688432","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) + 22\/3. Suppose 5*v = 23 + m. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16932 = -5*m + 4*g - 35656, 2*g = -3*m - 31544. Let p = m - -441827\/42. Calculate the common denominator of 27\/70 and p.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0 - 3)*(0*q + 0*q - 2*q) + 15*q + 13*q - 5*q + 13*q in the form x*q + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**2 + 1\/2*r**3 + 0 - 8*r - 1\/12*r**4. Factor n(l).\nAnswer: -(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 3:45 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(2 - (-95)\/(-76))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17880 is divided by 614?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {u: 1, f: 9, l: 3, o: 3, e: 1, q: 1}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.3 + 1.3. Let r = 2 + b. Let p = r - -12. Sort p, -5, 1\/5 in increasing order.\nAnswer: -5, 1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-16) - 330\/(-4). Suppose -37 = -b + 2*h, h - k + 33 = -2*b. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8128, 1.7, -15\/22?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1806, 3470, 5002, 6402, 7670, 8806, 9810?\n\"Answer: -66*p**2 + 1862*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/7 - 74835*p\/7 + 1070500.\nAnswer: -(p - 100)*(p + 74935)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 10*o = 2*j + 28, -8 = j + o. Let d be (-2)\/j*(-1 + 5). Suppose d*p - 5*w = 0, -2*w - 23 = -5*p - w. Does p = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 397721\/235195 + -24\/2767. Let f = m - -5339\/1020. Calculate the common denominator of f and 29\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 7.9. Let t = 0.121 + 0.079. Which is the nearest to q? (a) t (b) -3\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**5\/60 + j**3\/2 + 2*j. Let z(n) be the second derivative of l(n). Let y(t) = 3*t**2. Calculate y(z(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/((-9)\/(2700\/(-660))).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19059717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -1, -2, 1, -3, -5.\nAnswer: -19, -5, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.0665 (b) 3\/11 (c) 22 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -7. Suppose y - 3*y - 1236840 = 5*o, o = n*y + 2473680. Let q = y - -898420. What is q rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 4*o - 36, -5*o + 7618 - 7664 = 4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6625 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 12. Suppose 0 = -4*t + 16, 3*c + f*t - 16 = -c. Suppose -59 = -3*g - 4*o + 35, -3*o + 3 = c. Calculate the greatest common divisor of g and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*(-4419*y + 17 - 30 + 13).\nAnswer: 13257*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 15) in base 2?\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.16 and -2759523915.\nAnswer: -2759523914.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -769 + 799. What is the remainder when 358 is divided by y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 59*q**7\/315 + q**4\/6 - 43*q**3\/6 + 88*q. Let s(i) be the third derivative of a(i). Let c(d) = 2*d**2. Calculate c(s(h)).\nAnswer: 445568*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 333420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 215051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 32\/1349 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0066814846 rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 249978 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 271815936 a multiple of 868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -4572 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*s + 536, -2*t + 5*s = -172 - 900. What is the remainder when t is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 16*k**2 - 2*k + 34. Let g be m(16). Suppose 2*y + 2*d = -g*d + 8, 0 = 3*d - 6. Solve -c - 2 + 0 = y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**3 - b**2 - 28*b - 47. Let k(w) = -w**3 - 6*w + 2. Give -5*k(c) + v(c).\nAnswer: 8*c**3 - c**2 + 2*c - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z - 31. Let u be w(13). Is 2 a factor of 1\/(u\/6 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - g + 1. Let b(h) = -120*h**2 - 2*h + 2. Determine b(f) - 2*r(f).\nAnswer: -122*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-21))\/((-13410)\/(-3129))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -2.9. Let i = -5\/3 - -19\/15. Let l = 149\/40 - 25\/8. What is the nearest to x in 1\/2, l, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -548.002989 rounded to zero dps?\nAnswer: -548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 8*d - 3. Let h be s(7). Suppose 3*a - 173 = 5*g, -a - h + 47 = 2*g. Calculate the remainder when a is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 18 = -5*u, y - u + 4 = -2. Let x(o) = 108*o**2 + 6 + 2*o + 0 - 7. Is x(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -2 (c) 1 (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 125 = -5*r + 52, 147 = 4*r - 3*h. Solve -504*z + r = -494*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13953 - -5?\nAnswer: 13958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -22*d + 5*d**3 + 13 - d**3 + 16*d**2 + 0*d**3. Let y(a) = 4*a**3 + 15*a**2 - 22*a + 12. Let u(i) = 6*y(i) - 5*z(i). Is u(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**2 - 62*a + 20. Give f(15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, m: 8, x: 2, z: 2}. What is prob of sequence zxmx?\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.403\nAnswer: 0.403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010100101000 (base 2) in base 9?\nAnswer: 14038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 + 5*g - 5. Let x(d) = 6*d**2 + 14*d - 14. Suppose 0 = 2*c - 0*c + 4. Let t be 1*(-18 - (c - 0)). Let b = t - -10. Give b*x(j) + 17*i(j).\nAnswer: -2*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*c - 15, -b = -7*c + 5*c + 8. Suppose k = c - 1. Suppose 0*y - 2*y = -5*u + 101, 4*y = k*u - 50. Calculate the remainder when 36 is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(80) + 4)*-2 + -4 + -1 + sqrt(80) + 5 + 4)*3.\nAnswer: -12*sqrt(5) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3882, -8866, -14970, -22194, -30538?\n\"Answer: -560*v**2 - 3304*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y - 9. Let c be s(4). Suppose -7*p + c*p = 16. Let v be (-65)\/(-100) - ((-9)\/p + -2). What is the smallest value in -3, v, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32025109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26864*x**2 - 6397*x**2 - 2380*x**2.\nAnswer: -35641*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-813)\/(-6) - 0)*2. Suppose 4*a - z - 265 = y, 0 = -4*z. Calculate the common denominator of 55\/7 and (a\/(-24))\/((-2)\/(-4)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 25*f**3 + 6*f**2 - 55*f + 155. What is the hundreds digit of l(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from jaajw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 870593217?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/77*6\/((-72)\/(-42))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2811 + -0.0811. Let r = 6.6 + -6. What is the closest to c in 0.5, -4, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -1086*m**2 + 127054*m + 936 = 0?\nAnswer: -4\/543, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**5\/5 + 80*d**4 - 12800*d**3 + 1024000*d**2 + d + 137. Factor x(k).\nAnswer: -4*(k - 80)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63949152 and 261348.\nAnswer: 9012","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5725736?\nAnswer: 2, 17, 42101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 1, -11 in ascending order.\nAnswer: -11, -1\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 8134 + 8115 - 16286 - 12*f. Give t(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 158 or 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -5 + 1 + -7 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 61*p + 12. Suppose -4*n + 248 = 4*t, -2*t = 5 - 9. What is the remainder when 271 is divided by k(n)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 - 54.69. Let h = -18.91 + 19. Let f = h + g. Which is the second smallest value? (a) 4 (b) -0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1118477 >= -1118489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 1\/24659073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -9*(-3 - -4). Let s be (-236)\/k + 3\/6. What is the highest common factor of 20 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6699 divided by -461\nAnswer: -6699\/461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 7*c - 20. Let d be r(-3). Does 19 divide 595 - 8*(-4)\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 10. Suppose -4*i + 24 = 3*d - 145, -4*i + s = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o - 3*o - 4*o + 3*o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -17. Let k(s) = 2*s - 3. Let a be k(4). Suppose a*p - 11 = 79. Calculate the smallest common multiple of j and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1391677.\nAnswer: 1391677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*m - 5680506 = 3865030. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0 (c) 223 (d) -2\/13 (e) -9 (f) 75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -4\/3, -3\/11, 1?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + sqrt(700) + -1) - (4 + (sqrt(700) - 5*sqrt(700)*-3)))**2 + -3.\nAnswer: -720*sqrt(7) + 226801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163454004?\nAnswer: 2, 3, 7, 67, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/4)\/(t*t*t**7\/t*t))**(3\/17) assuming t is positive.\nAnswer: t**(-99\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2782518317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 3*h + 50. Let v be k(6). Let z be (-2 + 17)\/(6\/4). Let f be z\/4 + 3\/(-6). Sort -5, f, v in descending order.\nAnswer: f, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*a = -x - 160, -3*x - 3*a + 282 = 0. Calculate the least common multiple of 4 and x\/4 - (-2)\/(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102.2*0.1.\nAnswer: 10.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6377 at least as big as 6377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.168 + 0.668. What is the fourth biggest value in 0, -10, l, 32?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5 + ((sqrt(504) - sqrt(504)*-2)*4*-3)\/(5*(sqrt(128) - sqrt(32) - sqrt(8)))))**2.\nAnswer: -7776*sqrt(7) + 2961828\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 7*g**2 - g - 2. Let p be c(7). Calculate the lowest common multiple of 42\/8 - p\/(-36) and ((-6)\/(-4))\/(-1)*-4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 - 4*k**2 + k - 4*k**2.\nAnswer: -5*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3 - (1 - (-4196)\/(-12)). Is m\/(-48)*(-68 - 0\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 6 = 2*q, -5*q + 3*r = 6*r + 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -325873\/5 or -65174?\nAnswer: -325873\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - 44. Let l = -43 - d. What is the remainder when l is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - a + 1. Let o(n) = -89*n + 71. Let c(m) = 22*m - 18. Let r(h) = 9*c(h) + 2*o(h). Let w(v) = -20*d(v) - r(v). Let j(i) = -i. Determine w(j(l)).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-12) + (-1306545)\/90. Let m = c - -26554. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**2*y**3 - 926*v**2 + 23*y wrt y.\nAnswer: 3*v**2*y**2 + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*v + 106*v + 43*v)*(3*v - v - v).\nAnswer: 94*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + 29*a + 57. Let z(c) = 3*c**2 - 33*c - 54. Let j(s) = -4*l(s) - 3*z(s). Determine j(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31128 and 1266?\nAnswer: 6568008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5\/6, -10\/3, -574, -0.5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -89 - 43388785939.44\nAnswer: -43388786028.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -8. Let h be 6 - (-7 + 0 + 4 + 9). Solve -2*p - z*l + 9*l = 20, h = -4*p - l - 18 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.07, -0.3, -2\/9, -221, -1\/2, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1441091 and 347.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -29104, -3.2, 4\/5, -5\/6, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 4*z - 4*z**2)*(0 + 0 - 2*z) - z**2 + 2*z**3 + z**2.\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 724 and 16?\nAnswer: 2896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 7*g**2. Let a(u) be the second derivative of -u**3\/6 - 2*u**2 + 151*u. Let r(z) = 11 - 2 + 0*z + 2*z. Let s(k) = 9*a(k) + 4*r(k). Give s(j(w)).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -78, -117, -156, -195, -234?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -42, 28, 144, 306, 514, 768, 1068?\n\"Answer: 23*z**2 + z - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i - 299. Calculate c(-65).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (19 - 2013\/99)*(-18)\/40. What is the third biggest value in y, -11, -0.34?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.9331 + -2.8288. What is m rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 7*a + 5, 0 = 3*q - 5*a - 127. What is the remainder when q is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -229*n - 18. List the prime factors of a(-2).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 85, 18, -1\/6, -25, -10?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552606709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9316285 to the nearest integer?\nAnswer: 3052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 2*h + 28. Let b be f(0). Suppose b*a + 4444 = 32*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 523 - 792. Let u = -114 - q. List the prime factors of u.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -337 + 486. Suppose 2*b = 2, -3*c - 3 = -0*c - 3*b. Suppose -4*s - 41 + r = c. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-350)\/350*(-5)\/(-40)*-194?\nAnswer: 97\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2. Let p(n) be the first derivative of -3 + 0*n + 5\/2*n**2. Calculate p(f(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 1 = 9. Let d(y) = y**3 + 2*y**2 - 3*y. Let r = 3 - 1. Let o(k) = -4*k**3 - 5*k**2 + 9*k + 1. Let x(m) = r*o(m) + 7*d(m). What is x(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least as big as -58824849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-2) + 1 + 110\/11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 331645227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + w - w**5 + (9*w**4 - 21*w**4 - 35*w**4)*(-4*w + w - 3*w) + (-2*w**3 + 0*w**3 + 4*w**3)*(0*w**2 + 3*w**2 - 2*w**2).\nAnswer: 283*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 24*w**2 - 39*w. Let o(m) = -2*m**3 + 24*m**2 + 38*m. Let j(v) = -5*k(v) - 4*o(v). What is the second derivative of j(n) wrt n?\nAnswer: 18*n + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -29115*z - 377. Is i(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 3*n - 2. Let l = 5 - 5. Suppose -5*c = 4*x + 31, 1 + l = c - x. Let k = -1 + c. What is b(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 12. Suppose 2*c + c + 15 = g. Let m(j) = -j**2 - 9*j + 2. Let b be m(c). What is the greatest common divisor of b and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2908603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2057308, 2057323, 2057338?\nAnswer: 2057353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 smaller than -152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 624\/121 at most as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66859582029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/13*j**5 - 944\/13*j**2 + 36814\/13*j + 316\/13*j**4 + 24964\/13 - 12476\/13*j**3 = 0 for j.\nAnswer: -1, 2, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -57364.1829?\nAnswer: -57364.2829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 92*u + 1605. What is z(-10)?\nAnswer: 685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-22))\/4*(-3)\/(-18)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 3*m**2 + 3*m - 4. Let g be t(2). Let n(s) = -s**3 - 4*s**2 - 2*s - 2. Let y be n(g). Let f(w) = -12*w - 21. Does 13 divide f(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 42 = -30. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*v + 0*v**2 + 2*v**2 - 7*v)*(39*v + 38*v + 73*v) to the form r*v**2 + g*v + k + p*v**3 and give p.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1263)\/(-9))\/(3\/9). Let h be f*2*(-2)\/4. Let m = -11369\/27 - h. Is 0 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -6*w + 8, -o - 5*w = 27990. Round o to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/17719 - -35452\/124033. What is the closest to -8 in -2\/13, k, 0.041?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 36. Suppose w*o - 1687 = 95. What is the highest common divisor of 33 and o?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4*g + 42416, 3*g + 53018 = 4*i + i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from {j: 1, m: 3, u: 5, n: 1, v: 6, i: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1863649 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 18*v + 14706 = 10*v. Calculate the greatest common factor of v and 2236.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 - 42 = -2*x - 31*x. Sort x, 4, -4, 1, 162.\nAnswer: -4, x, 1, 4, 162","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 9 + 1)*(s - 3*s + s)*(-7 - 1 + 1) to the form n + v*s and give v.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 94\/70)\/(1449\/(-1380)). Is b greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u. Let n(g) be the first derivative of 6 - 16*g**2 - 23 + 12*g**2. Determine n(c(r)).\nAnswer: 24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -7*x + 954. Suppose 0 = y + d + 90, -5*y - 639 + x = -5*d. Calculate the common denominator of (y\/48)\/(0 + (-1)\/(-2)) and -8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103 - 64. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*p = 7*p + 8, -2*p + 10 = -3*y. Let c be (-1 + 2\/6)*-3. Suppose 8 = -c*w - 0*w. Is w less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -45, -56, -73, -96, -125, -160?\n\"Answer: -3*w**2 - 2*w - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6.8 (b) 3\/8 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (86\/(-12)*-2)\/(((-30)\/(-6))\/(-15))*-1?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2420233, -4840471, -7260709, -9680947?\n\"Answer: -2420238*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 8. Let h be 40\/(-225) + ((-8)\/(-9))\/(-4). What is the third biggest value in p, h, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/19570 and -143\/105678.\nAnswer: 528390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0.18. Let c = 1.68 - 8.66. Let l = c + x. What is l rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*t**5 - 202*t**4 + 10*t**2 - 26*t wrt t.\nAnswer: 180*t**2 - 4848*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222222221 + -110112?\nAnswer: -2000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59499 and 19833.\nAnswer: 59499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3 = 7. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 53*x + 1564 = 0. Find the second derivative of -26*o**5 + 20 + 10*o - 2*o**3 + 35*o**5 + x*o**5 wrt o.\nAnswer: 860*o**3 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233070603 is divided by 463361?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 72350*u - 18811000. Determine m(260).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**2 + 2*s - s**3 - 9*s**2 + 3*s. Let z be o(-6). Let n be (-7)\/(-3*1\/z). Solve 0 = -5*k - 3*t + 4, 2*k - 4*t = -2 + n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 6, -2.94, 0.5, -0.03, -0.3?\nAnswer: -2.94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 11*o - 56. Let z(c) = -7*c + 37. Let g(w) = 5*x(w) + 8*z(w). Calculate g(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 13 = r. Calculate the greatest common factor of 39 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 136\/36 + (-4)\/(-18). Suppose -2*l + 4*l + z = 0. What is the units digit of 9*(16\/6 + l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**3 + o**2 - 2*o + 4. Suppose -4*n + 11 = 3*r - 9, 5*n - 25 = 3*r. Let p be v(r). Solve -z = 3*y + 3, -5*y - p = 5*z + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -18*j**2 - 78. Let m(z) = -z. Calculate m(l(h)).\nAnswer: 18*h**2 + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from huf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -u - 27 + 74, 46 = 2*s - 4*u. Which is bigger: s or 11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1219*p**3 - 5*p**2 + 4 + 123*p**3 - 2*p**2 + 233*p**3 + 8*p. Let g be j(6). What is g rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -49. Let q = -63\/55 - -72\/11. What is the common denominator of (z\/(-2))\/(0 - -2) and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (18\/(-5))\/(34\/(-4590))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c - 17. Let t be v(5). Find the second derivative of -t + 7 + 12*s**4 + 4 - 5*s + 6*s**2 + 4 wrt s.\nAnswer: 144*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(14)\/sqrt(7) + -3).\nAnswer: -15 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -5*y - 45, -5*x - 59 + 72 = 2*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*i + 11 + 8 = 0, -4*r - 2*i = 22. Put 5\/4, 0.1, r in ascending order.\nAnswer: r, 0.1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*f**2\/5 - 28*f\/5 - 16.\nAnswer: 4*(f + 1)*(13*f - 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -317\nAnswer: -1268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.89 + 8.29. Let m be (9\/(-12))\/((-6)\/10). Sort m, -0.2, 4, a.\nAnswer: -0.2, a, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37457296 divided by 9364324\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*w + 236600 - 32250 = 0, -10*w - 153216 = -3*i. What are the prime factors of i?\nAnswer: 2, 53, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 23 = -3. Suppose -10 = -5*k + 130. Let c = k + f. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 282 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11014 - -20?\nAnswer: -10dd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/108 and -51\/4.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 150*s = -148*s - 10, 3*i - 3*s + 18 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -240, -505, -780, -1071, -1384, -1725, -2100, -2515?\n\"Answer: -x**3 + x**2 - 261*x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j = -15*j + 3*d - 15, -5*j - d - 15 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322325 is divided by 1781.\nAnswer: 1745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m - 20*m - 31*m + 4*m. Let z(l) = l**2. Determine z(y(g)).\nAnswer: 1681*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-135)\/1620*876 + 85\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + (216 + -212 - (-2 + 23)) + 77?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 + 2.01. Let n be 522\/24*(2 + -6). Let i = 83 + n. Sort 1\/4, i, d in decreasing order.\nAnswer: d, 1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1954.\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 72114704?\nAnswer: 72114706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -7*j - 2*o - 1937, -5*j = 3*o + 1938. Let b = j - -426. What is the remainder when b is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 20 = 10. Let s be (-1)\/(4\/m) - -5. Sort 3, 7, -3, s in ascending order.\nAnswer: -3, s, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12829 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -77922 divided by -5\nAnswer: 77922\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 161599856?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2.1, 0.5, 88, -3, 0, -0.02, -1\/4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 692 = -4*u, -2 = 4*i + 10. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**0*w)\/w**(2\/9))\/(w**8\/(w*w**(-1\/4))) assuming w is positive.\nAnswer: w**(-197\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = -2 + 2. Suppose -o = g + 49 - 1, o - 4*g + 43 = n. Let x = 25 - 73. Which is smaller: o or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = 26*d + 9*d - 365 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -12, -2\/5, -5, -59236.9.\nAnswer: -59236.9, -12, -5, -2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 2:45 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 295 + -277. Let n be (-3)\/(-2)*((-24)\/r - -8). Solve -3*u + 2*h = -14, u - n = -2*u + h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3004713.\nAnswer: 3, 333857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*((-3 + 3 - 1)*(-5 - 1 + 4) + 0 + 0 + 4)*(-42*f - 27 + 27).\nAnswer: -252*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b8022d + 4?\nAnswer: -b80229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 24 = 2*g. Let l(w) = -w**3 + 2*w + 4. Suppose -6*s - 133 = -121. Let x be l(s). What is the highest common divisor of g and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5888 and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*14\/8*-14. Suppose -14 - 40 = 3*p. Let t = p + b. Solve 2*d = 5*a - t, -3*a + 14 = -1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + v**2 + 2. Let k(l) = -2*l**2 + 3*l**2 - 8*l**3 + 5 + 9*l**3. Let b(w) = -5*c(w) + 2*k(w). Solve b(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/9))**(-20)*(g*g**2*g*g)**(2\/7)*(g\/(g\/(g**(3\/10)\/g)))\/(g*g*g**9*g)*g**(-4\/5)\/(g\/g**8) assuming g is positive.\nAnswer: g**(-1199\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*6\/9*11\/((-1980)\/432).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 6, 3, -87?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d + 2*d - 4*d)*(-2*d - 8*d - d) in the form m + c*d + w*d**2 and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u\/u**(-1\/7))\/((u*u**(3\/7))\/u))\/(u*u\/(u*u\/(u\/(u\/u**2))))**(1\/26))**7)**(-10) assuming u is positive.\nAnswer: u**(-1490\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847404441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3336.842 + -3337. Is 10 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*l + 6 = -2*l, 5 = -5*l. Suppose 4*b + 3*p - 68 = 0, -5*p = o*b - 8*p - 16. What is the lowest common multiple of b and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/43))**(4\/13)*i*i*i**(15\/4)\/i*i*i*i*i\/(i**(-20\/3)*i))**(5\/12) assuming i is positive.\nAnswer: i**(483055\/80496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81982415.\nAnswer: 5, 17, 964499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3041, -6074, -9105, -12134, -15161, -18186, -21209?\nAnswer: -24230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*g = j - 75*g + 17, 3*j + 51 = -3*g for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.0722918 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 10*d - 21. Let t be w(7). Calculate the highest common divisor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 0.19. Let q = 19 - 18.98. Let t = q + b. Sort t, -2, 0.\nAnswer: -2, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 4*v - 19, -10*v + 11*v = 4*h + 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 3425\nAnswer: -12\/3425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -19*s + 190. Suppose 0 = -x + b + 12, -3 - 5 = x + 4*b. Let n be o(x). Suppose 0 = -3*z + 66 + 276. Calculate the greatest common factor of n and z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 t when four letters picked without replacement from {i: 3, t: 5}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 12*z**3 - 46*z**2 + 6*z + 6. Let c(s) = -25*s**3 + 92*s**2 - 13*s - 13. Let k(b) = -6*c(b) - 13*j(b). Find the third derivative of k(v) wrt v.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + t + 3*t - 2 = 0, 5*a = -5*t. Put a, -4, 0 in decreasing order.\nAnswer: a, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/10608 and -121\/78.\nAnswer: 10608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -823 + 821. Which is the nearest to -2\/3? (a) 0.5 (b) g (c) 13 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 418520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.018 in 20, 0.2, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4284915 and -0.3?\nAnswer: 4284914.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**5\/20 + z**4 - 5*z**3\/6 - 3*z**2\/2 + 45*z - 3. Suppose -4*c = 4 + 44. What is the units digit of p(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3204, -6488, -9772, -13056?\n\"Answer: -3284*w + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786151?\nAnswer: 786151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*d**2 - 95*d**2 - 105*d**2 + 303*d**2 - 94*d**2 + 80*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*b + 10574, 0*m - 10559 = -3*m - b. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 103110420 and 103110419 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.2, 19\/2, 0.039, 2\/145?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/75924 and -47\/86?\nAnswer: 3264732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 40, -489*t + 485*t = -3*h - 209284. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 15. Let q = 10 + r. Suppose -4*a + 36 + 16 = q. Calculate the remainder when 37 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 119371246?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 534756 to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(14)\/(sqrt(175) + sqrt(7) + sqrt(7)))*3 + -3*(sqrt(24)\/sqrt(4))\/sqrt(3).\nAnswer: -3*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.730958us in seconds?\nAnswer: 0.000008730958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4721, 36854, 124085, 293966, 574049, 991886, 1575029, 2351030?\nAnswer: 3347441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 1. Let g(w) = 7*w**3 - 4*w**2 - 2*w - 4. Let q(h) = 6*b(h) + g(h). Let j be q(4). Is 16 a factor of 115\/6 - (-1)\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 359*l**3\/3 + 2*l - 4240. Let v(o) = 4*o**2. Determine b(v(c)).\nAnswer: 5744*c**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -6 - 65\/2*d**2 + 5*d. Let b be k(-23). What is b rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-2)*(-2)\/(-15)*-5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5996451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 110 = 4*l, -3*l + 5*o = l - 118. Suppose -5*d = s - 2*s + l, -2*s - 16 = 4*d. Is 3 + (73*4)\/s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/36 + (-3748)\/(-3960) and -149\/90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 14. Let n be c(-12). Suppose 22 - n = 5*u. Round u to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-45)\/(-30) - -19*17\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 299264905 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 45 + 4655?\nAnswer: 469a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-2) + 3 - -11. Suppose -4*b + j = 3*j - 12, 2*j = -a. Calculate the least common multiple of b and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/224*(-14)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 471 divide 57131829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(272)*-1)**2 + (sqrt(119)*1)\/sqrt(7).\nAnswer: sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1346 - 1346. Solve 3*y + 3*d = d + 19, 3*y + 4*d - 23 = c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -463.9 - -464. What is the nearest to 2\/3 in 22, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 13*l + 209 = 0. What is the remainder when (l\/3 + -2)\/((-46)\/(-4278)) is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(66)*-2 + sqrt(66))\/sqrt(6) - (1 + sqrt(11) + 1) - (3 + 0 + sqrt(99) + 1))**2.\nAnswer: 60*sqrt(11) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1435176 by 2232.\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 771005496 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l**2 - 12*l - 8. Let q(b) be the first derivative of b**3\/3 - b**2\/2 - b - 5. Let t(p) = j(p) - 8*q(p). Find the second derivative of t(d) wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -97 - -144 - (-33 + -13).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.5 + 3. Which is the second biggest value? (a) 0.2 (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 7*t = 26. Find the common denominator of 47\/2 and t\/9*(-126)\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.7 - 2.5. Let f = q - -0.85. What is the second smallest value in 0.5, 4, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9 - 1. Sort -0.2, t, 1\/7 in decreasing order.\nAnswer: t, 1\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/22098406 and -113\/62277326.\nAnswer: 685050586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 - 70 - (8 + -1 + 0 + 5).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2966916 is divided by 156153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 10:09 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7475.3 times -0.3?\nAnswer: -2242.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3*1\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(91\/546 + (-69)\/18)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + (-142)\/355 + (-28)\/5. Solve b = -4*v + 3*l + 19, -16*v - l = -12*v + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 12*a - 29*a - 4*a - 12*a - 16*a + 73*a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**5 + 2286*o**4 + 20811*o**3 - 208482870*o**2 + 625268736*o - 416808960 = 0?\nAnswer: -265, 1, 2, 512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/((-12)\/(-30)) - -800?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/9, -2\/15, -8322, -3?\nAnswer: -8322","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 312 divided by -104\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10*-1)\/((-3)\/6). Suppose 0 = -2*w + z + z - 10, 4*z - a = w. Let q(p) = -p + 16. What are the prime factors of q(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/2)\/l)**(-2\/11)\/(l**(1\/8)*l**(4\/9)) assuming l is positive.\nAnswer: l**(-379\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**5 + 15*j**3 + 10*j**2.\nAnswer: -5*j**2*(j - 2)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40452 + -5?\nAnswer: -40501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34772891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 41668*l**2 + 8*l. Let u be n(-6). What is u rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven fifths of a millennium?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61437 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6380347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*f + 0*f + f + 1031 - f + 10*f.\nAnswer: 72*f + 1031","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26522357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - r + r)*(8*r - 12*r - 13*r)*(4*r - 2*r + 3*r)*(-3*r + 3*r - 2*r**2)*(0 + 3 - 4)*(2 + 3 - 1).\nAnswer: -1360*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -52281842 * -3\nAnswer: 156845526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -556725 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133899507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 267654.\nAnswer: 267659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2410419 or -2410392?\nAnswer: -2410419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1396160577.\nAnswer: 3, 7, 41, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 5.8. Let x = 6 - z. Let s = x - 0.500455. What is s rounded to 5 decimal places?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/5)\/(44\/(-2045230)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/18 (b) 7 (c) 1\/8 (d) -0.1 (e) -1 (f) -10 (g) 835\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 299805130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 678, 3321, 9908, 22413, 42810, 73073, 115176, 171093?\nAnswer: 242798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*n + 2*r, 6*n = 2*n + 2*r + 12. Suppose -x - 4*x = 5. Let b = n + x. Solve b = -p - q - 7, 3*q - 2 = 5*p + 9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1129 - -2746. List the prime factors of i.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -107 (base 11) to base 14.\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37 * -179.\nAnswer: -6623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/3256 and 61\/74112?\nAnswer: 30163584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**3 - 5*d**2 - 3*d. Let o(b) = -5*b**3 - 6*b**2 - 4*b. Let y(n) = -4*g(n) + 3*o(n). Factor y(f).\nAnswer: f**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -419 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 43840*l + 4120365.\nAnswer: -5*(l - 8861)*(l + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 23*d**2 - d - 1. Let a be j(1). Let x = a + -20. Solve 2*h + x = -1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46.3 - -46. Let m = 0 - b. Let c = m + -0.299753. What is c rounded to five decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2103 + 10955 = -151*w + 1000 - 4681 for w.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 420590 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 139*d**3 - 7*d - 10. Let b(q) = 278*q**3 - 12*q - 17. Calculate 3*b(s) - 5*r(s).\nAnswer: 139*s**3 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1276 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2330966+28\nAnswer: 2330994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -21*u**3 + 147*u**2 + 156*u - 1083. What is d(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2509 and 0.1.\nAnswer: -250.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 + 27*c**2 + 13*c + 16. Let v be 2\/(-6) + 217\/93 + -15. Give h(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.064578 - 5667.135422. What is h rounded to the nearest ten?\nAnswer: -5670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 465 - 458. Solve 0*o - 21 = -y*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 288, 579, 870, 1161, 1452?\nAnswer: 1743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 (base 12) in base 11?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 158 divided by -79\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**4 + 0*n**4 - 3*n**4)*(-3 - 2*n + 3 + n - 2*n + 2*n + (5*n - n - 2*n)*(-3 - 3 + 7) + 3*n + 3 - 3) + 2*n - n**5 - 2*n + 3*n**4.\nAnswer: -21*n**5 + 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w + 18*w - 7*w + w to the form y*w + x and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4245062 is divided by 188.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 600 divided by -2\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 7*y + 5*y + 0*i - 28 = -3*y - 9*i, -12 = -3*i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 247249673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u**2 + 24*u + 344. Let j be g(13). Sort 0.3, j, 0.5 in decreasing order.\nAnswer: 0.5, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 59*p**2 - 221*p + 5. Let t be v(4). What is the second biggest value in t, 0.09, -4.4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*b - 13770 = 153*b - 1354 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 25 + -12 + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen sevenths of a week?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 220222011011 (base 3) to base 5\nAnswer: 111211313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1512\/336*52\/9 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i**2 - 7*i - 2. Let k(y) be the third derivative of y**5\/12 - y**4\/4 - y**3\/3 - 21*y**2 - 2*y. Determine -7*k(c) + 6*o(c).\nAnswer: c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22014.2273 - -15.5727. Let c = d - 22095.8041. Let t = 66 + c. What is t rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 2\/3, 2\/31, 1501?\nAnswer: 1501","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 9*p**2 + 2*p - 4. Let z be x(4). Let f = z + 147. What is f rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 438.7257 micrometers?\nAnswer: 0.0004387257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3539*v + 142048 + 92428 = -87573 for v.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 15*j**2 - 149*j - 1056. Give f(-20).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 10*l + 3. What are the prime factors of z(11)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.09 - 0.39. Let g = -25\/2 - -14. Which is the third biggest value? (a) j (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 3c?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*v + 644 - 8266, -v = -4*r + 1895. Let q = v + 22819\/12. Calculate the common denominator of 17\/44 and q.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 27 - n + 2*n + 130. Is f(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118786460 to the nearest integer?\nAnswer: 10899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 3*y = -18, 4*l + 2265825 - 2265753 = -3*y for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -0.1 (c) 113\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -15 - 16) + 4 + 1 + 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 10 = 3*t - 5, 2*t + 7 = 5*v. Suppose 4*k + 4*s + 12 = 0, k = -k - 4*s - 10. Let o = k - v. Put -1, 1, o in descending order.\nAnswer: 1, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2920509661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 - 5632017*l + 5632017*l + 0*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5841 = 8*g. List the prime factors of g.\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6508024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8*4 + (-629756)\/20120\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/2 of a day?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*(0 + sqrt(4800) - sqrt(4800)) + sqrt(4800) + -1)**2*3.\nAnswer: -720*sqrt(3) + 43209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780 is divided by 441.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 4:47 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cttctccttt. Give prob of sequence ttt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 2. Let u be t(6). Suppose 0 = -i + u*i - 465. Suppose -i = 3*d - 8*d. What is the remainder when d is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12215*o**4 + 3596*o + 6749*o + 0 + 1 - 1 wrt o.\nAnswer: -146580*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * -581.25.\nAnswer: -6975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 - 2*z + 2*z + (0*z**2 - z**2 - 3*z**2)*(0 + 3*z + 0) + 3*z**2 - 3*z**2 - 4*z**3 in the form a + q*z + u*z**2 + y*z**3 and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.471 minus 2000?\nAnswer: -1998.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -11267\nAnswer: 8\/11267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - t + 4 + 3, 4*n = 4*t - 24 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 + -19. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*n + 2 - 2)*((-3*n - 3*n + 5*n)*(4 - n - 4) + (3*n + 0 + 0)*(9*n + 10*n + 0*n)).\nAnswer: -522*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -187*b. Let m(p) = 8*p + 19974. Calculate y(m(o)).\nAnswer: -1496*o - 3735138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8988 + 9228. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30322?\nAnswer: 2, 15161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 7 + 26 = -19*h, 4*h + u = -7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -399*b**2 - 6*b\/7.\nAnswer: -3*b*(931*b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y + 15*y + 20 = -2*h, 2*y - 6 = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 59*k - 585. Calculate the remainder when 146 is divided by w(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -18*g - 1. Let k = 878 - 877. Calculate n(k).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5734509, 5734512, 5734517, 5734524?\n\"Answer: h**2 + 5734508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from pmtpmppptpdppd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/26 + (214870\/(-13650)*1 - (-274)\/2877)?\nAnswer: -79\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1701319 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8 times -139513703\nAnswer: -1116109624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, i: 2}. What is prob of picking 2 i and 1 j?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 418100762?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*q + l = 84*q, 0 = -2*l - 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83332 = -27*k + 199439. List the prime factors of k.\nAnswer: 3, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3 + 7*w + 5*w**2 - 6*w - 6*w - 9*w**3 + 8. Let c(n) = -n**3 + n**2 - n + 1. What is 5*c(r) - s(r)?\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -364*n**4 - 1796*n**3 - 2792*n**2 - 1264*n + 96 = 0.\nAnswer: -2, -1, 6\/91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1805 - 1805.02. Let y = -0.02 + 0.32. Which is the fourth biggest value? (a) -0.08 (b) s (c) 1 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**3 + 19*k**2 + 5301*k wrt k.\nAnswer: -12*k + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/234 and -77\/39?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -263601 - -3656?\nAnswer: -257723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 10:10 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {n: 5, v: 5, f: 8}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 * 0.02\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846816?\nAnswer: 2, 3, 8821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 948599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 2 - 5)*(-3 + 0 + 4)*(4 - 5 + 4)*((2 - 1 + 1)*(0*a + 0*a + a) - a - 1 + 1) in the form t*a + m and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 20.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/13))**(-1\/45)*(l*l*l**(-3)*l)**(-43) assuming l is positive.\nAnswer: l**(2\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.2, -221, 0.1, 3, -5 in increasing order.\nAnswer: -221, -5, -0.2, 0, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -3509*h**5\/20 + h**4\/6 + h**3\/3 - 39*h**2\/2 - 111*h. Find the third derivative of g(u) wrt u.\nAnswer: -21054","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1162, -4943, -11344, -20365, -32006?\n\"Answer: -1310*w**2 + 149*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/80 and 505\/20*(-6)\/24?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/247 - 731\/1235. What is the closest to 0.2 in 44, b, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2074 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 62*4\/(11 + -3). Let n = -22 + t. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m**(-1\/22)*m))**26)**(-5) assuming m is positive.\nAnswer: m**(-65\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.049 (b) -7\/8 (c) -5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, -269, 0, -6\/11, -0.8, -21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**2 + 3744*q + 1168128 = 0?\nAnswer: -624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*v = 153*v - 76*v + 96898. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 28177.71 nanometers?\nAnswer: 0.002817771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/5689 and 39\/9142223.\nAnswer: 9142223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24000\/350)\/(-80))\/(8\/7)*(-284)\/3.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 802.7827 years in decades?\nAnswer: 80.27827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -19991669 != -19991672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 5*o + 2. Let y be p(-4). What are the prime factors of -6*8\/y*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*z - 12 = 136*z. Suppose -960 = -z*d + 3264. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -431195*y + 862548*y - 431295*y.\nAnswer: 58*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 8*y = -36. Suppose 2*f - 1838 = -4*t, 0 = y*t - 3*t - 5*f - 1346. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -327 - -318. Let a be (-6 + (x - -19))\/(2 + 0). Solve a*d + 6 = 3*b - 0, 5*d + b = -15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/7)*j**(-6)\/j)**(-11)*j**(5\/3)*j*j**(-3\/4)\/j*(j**(-3\/10)*j)\/(j*j**(-2\/21)) assuming j is positive.\nAnswer: j**(29999\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 275 = 4*k, 17*m + 234 = 8*m - 4*m - 3*k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(-12)\/8 - 138\/(-1). Which is the third biggest value? (a) 0.3 (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -10313233331222?\nAnswer: -10313233331223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14442719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, r: 2, t: 1, f: 4}. What is prob of sequence fcr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75240\/20691*132\/20.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.0052381 years?\nAnswer: 0.0000052381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g - 30. Suppose -3*a - 3*l = a + 55, -2*a - 2*l = 28. Let q be v(a). Suppose q*u = 44*u + 28. What is the remainder when 13 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 8*r**2 + 9*r - 7. Let v be s(7). Suppose -y - 450 = -v*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2630*p - 4488 = 1134*p. Factor 0*a + 0 - 28\/9*a**4 - 32\/9*a**2 - 40\/3*a**p.\nAnswer: -4*a**2*(a + 4)*(7*a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8189 and -11958.\nAnswer: 97924062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/15, 2, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1217578 or -1217583?\nAnswer: -1217583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2403 (base 7) to base 15.\nAnswer: 3e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -110478 >= -1\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10807 and 82921?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2799 + 250*s**3 + 1141*s**3 - 1076 + 390*s**3 wrt s?\nAnswer: 5343*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3794.00034918 + -3794. Round b to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58803*m**2*u**2 - m**2 - m*u**2 + 2*m*u + 3*m + 51*u**2 - 626*u - 20 wrt u.\nAnswer: -117606*m**2 - 2*m + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*z**3\/5 + 906977*z**2\/5 - 5875779232*z + 4196966656\/5.\nAnswer: -(z - 64784)**2*(7*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 3)*(i**2 - 399*i + 398*i + 1 + 13*i**3 + 0*i**2) to the form l + o*i**2 + b*i**3 + a*i and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*h - 172. Let v = -119 + h. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 783.6104nm in centimeters?\nAnswer: 0.00007836104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15683\/333009 + -11\/227. Which is greater: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1283413 != -1283410?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r**3 - 484*r**2 - 152*r + 5. Calculate o(81).\nAnswer: 815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 3 (c) 169\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01177472158 to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 6*b - 20. Suppose 0*w = -9*w + 27. Let o(k) = k + 1. Let l(v) = w*o(v) - u(v). Let r be l(6). Solve -j = -r + 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 629 (base 14) in base 7?\nAnswer: 3352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/22 + (5810\/1430 - 4). Which is the third smallest value? (a) 0.11 (b) i (c) 2\/9 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 43 + 18*s - 17*s + 45*s + 6*s. Is z(9) a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -163\nAnswer: -4.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -44 - 55a3?\nAnswer: -5607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -355, -728, -1101?\nAnswer: -1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 1. Let u be w(6). Solve -u*q - 16 = -y - 6, -4*y = 3*q - 17 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.112675 minutes in nanoseconds?\nAnswer: 426760500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -8 + 12 - 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -2*z**5 + 8*z**3\/3 - 24. Find the third derivative of g(b) wrt b.\nAnswer: -240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*i**2 + 70*i**2 + 45*i**2.\nAnswer: -59*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1441300 - 1340?\nAnswer: -1443140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from {s: 1, g: 1, e: 2, f: 2, m: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + ((-3)\/1)\/3 + 0. Let z(x) = -x**3 - x**2 - x. Let r(q) = -4*q**3 - 2*q**2 + 1. Let y(t) = i*r(t) + 3*z(t). Give y(4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**27)\/((y\/((y*(y*y**46)\/y*y)\/y)*y)\/y)*(y**(-2\/21))**(9\/2) assuming y is positive.\nAnswer: y**(515\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*n - 20485 = 539 for n.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -21 (b) 4 (c) 1158 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 + 18615*o**2 - 23101215*o + 9556202605.\nAnswer: -5*(o - 1241)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/14, -0.4, -6.5, 1\/2 in descending order.\nAnswer: 3, 1\/2, -1\/14, -0.4, -6.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-516)\/297 + 2\/1)\/(-50*56\/(-25200))?\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/4*(-19 + -1). Let r = 25 + x. Suppose 2*j - 15 = -5*n - j, -3*j = 3*n - 3. Solve m - n*m - 2*g - 5 = 0, -5*m - r = 3*g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 306 - 302. Factor 5469*o + 65*o**2 + 32*o**m - 5581*o - 4*o**5 - 100*o**3 + 87*o**2 + 32.\nAnswer: -4*(o - 2)**3*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 11*a**2 - 11*a + 13. What is the remainder when 48 is divided by y(12)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) -2\/11 (c) -106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.16, -7, 3, -2, 1\/155, 5\/4 in increasing order.\nAnswer: -7, -2, 1\/155, 0.16, 5\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - j - 2*j**2 + (3 - 3 - 2*j)*(j - j + j) - 2*j**2 - 4*j**2 + 3*j**2 + j**2 + 0 + 0 to the form v + o*j + t*j**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 10*f - 7*f, -3*p + 2*f = 16. Let n be (-2)\/p*-6*(-72)\/9. Solve -n = 5*j + 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 45512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111110111100 (base 2) in base 13?\nAnswer: 5740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-6)\/c**(-8)*(c\/c**(-3\/4))\/(c*((c\/c**1)\/c)\/c*c) assuming c is positive.\nAnswer: c**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13528 + 13525. Put 0, r, 2, 711, -2 in descending order.\nAnswer: 711, 2, 0, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4*118878\nAnswer: -475512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 + -9. Let y = 74 + t. Let a = y - 1.9. Which is bigger: -33 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 8\/17, -0.2, -2\/9?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.606 - 989.\nAnswer: -977.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-10) - 68\/85. Suppose -4*n + 2*n = 2*b - 52, x = 3*n - 2*b - 53. Solve 5*c = -4*k + n, -6*k + 1 = c - 2*k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112, -1, 3, 2, -7 in increasing order.\nAnswer: -7, -1, 2, 3, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 9:52 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 1 - 6 = 0, -3*v - 7 = -2*i. Solve h = -f - 6, 5*f + i*h - 4*h = -2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -9. Let j = o + -5. Let k be 2\/j - 21\/9. Put k, -5, 2 in decreasing order.\nAnswer: 2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44.06 + -0.06. Let h = n + -43.99999895. What is h rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 297 and 189?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*h**3 + 74*h**2 - 33280\/7*h - 33800\/7 = 0. What is h?\nAnswer: -1, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-15) - 2\/(-15). Suppose -18 = -4*a - 2*l, u*a = -5*a + 2*l + 18. Suppose a = 2*v - 6. Solve h + v = -0*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b**3 - 6*b**2 + 6. Let g(x) = -4*x**3 + 5*x**2 - 5. Determine 6*g(v) + 5*l(v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36 - 16*h**3 + 36 + 10*h wrt h.\nAnswer: -96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2 + -1 + 0 + sqrt(931) - (-1 + (sqrt(19) - sqrt(152)\/sqrt(128)) + -2 + sqrt(19)*2))**2.\nAnswer: 34*sqrt(19) + 5763\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/164128 and 31\/14?\nAnswer: 1148896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*o + 2*i, -4*o + 6 = o - i. Let d(r) be the first derivative of 4\/33*r**3 + 1\/22*r**4 + o + 0*r + 1\/11*r**2. Determine q, given that d(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6487954180 to the power of 1\/2, to the nearest integer?\nAnswer: 80548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -44 and 0.37.\nAnswer: -16.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*c - 121 + 120, -2*c + 2 = 0. Let o(r) = 1. Let p(k) = 4*k**3 - k**2 - 1. Calculate h*p(a) + o(a).\nAnswer: 4*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, -7, -288, -837, -1744, -3099, -4992, -7513?\nAnswer: -10752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 6, 7*i - 4*f = 2*i + 23. Suppose -5*d + 30 = -i*d. Suppose -d = 5*a - 110. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + -1)*(9 - (-2169)\/(-243)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f - f)*(0*f - 3*f - 2*f)*(-43 + 9 + 12) - f**2 + 2*f**2 + f**2.\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*h**2 + 0*h**2 + 0*h**2)*(-18*h - 16*h - 5 + 31*h) + (-5 + 1 + 2)*(h**3 - 2*h + 2*h))*(h + 7*h - 2*h).\nAnswer: 24*h**4 + 60*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6011 - -6014. Solve 2*x - 2*z + 12 = 0, -n*x = -2*z + 7 + 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/6)\/(6\/(-16))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mllmmgslmsmsllslmss. Give prob of sequence mlsl.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 2*m**2 + m - 4. Calculate the remainder when 13 is divided by c(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 c when four letters picked without replacement from rocbbboobccoohchhb.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*g = 1045, 0 = 4*w + 7*g - 4*g - 2051. Let s = -315 + w. Suppose -32 + s = 7*l. What is the remainder when l is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 28*w + 61. Let o be n(-22). Let y = o - 72. Is y a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 97 = 5*n + 128, -3*r + 218 = -2*n - 56*r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -2*r**3\/3 + 107*r**2 - 420*r - 9454. What is x in m(x) = 0?\nAnswer: 2, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6206920?\nAnswer: 2, 5, 19, 8167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8154 at least as big as -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1220342, 1220476, 1220610, 1220744, 1220878, 1221012?\n\"Answer: 134*w + 1220208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*(2 + sqrt(833) + 5 - sqrt(833)) + sqrt(833)*2*2 + -1)**2.\nAnswer: -896*sqrt(17) + 26784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 83474314 not equal to 83474316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -162 + 161.9. Let v be (-21)\/(-15) + (-4)\/10. Which is the closest to 4? (a) q (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24395\/173 - 141. Let h be (0 + 1\/5)\/(1038\/(-1098)). Let o = w + h. What is the closest to -2 in 4, o, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 337 and 40103.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**5 - 29549*z**4 - 579431*z wrt z.\nAnswer: -40*z**3 - 354588*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - m + 41 = 0, -4*s = -m - 72 - 13. Let k be 9\/15 - s\/(-15). Solve 2*p + 4 = 2*t - 0, -4*t = -k*p - 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -222 greater than -222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -135\/7 in 2\/253, -0.3, -1\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -7 + -16 - -4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 11:21 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjv when three letters picked without replacement from {q: 1, j: 2, e: 2, v: 7, o: 3, h: 3}?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2\/q)\/(q\/q**(-2\/61)))**28 assuming q is positive.\nAnswer: q**(-56\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 545, 3, 4 in descending order.\nAnswer: 545, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 344*l**3*z**4 + l**3 - 109*l**2 + 214895*l*z**4 + 492*l - 76 with respect to z.\nAnswer: 1376*l**3*z**3 + 859580*l*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-4*sqrt(88))\/(-6*sqrt(512)))**2.\nAnswer: 11\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12744 and 6313.\nAnswer: 1363608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725386755.\nAnswer: 3, 5, 48359117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 3\/4, -0.4, 8, 32, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-1 - 1) + 4. Suppose -4*r = -r - 2*f, -3*r = 2*f. Suppose r = -b - 3 + g. Calculate the highest common factor of b and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 933*a - 15763 = 98 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**7\/42 + q**6\/120 + 43*q**3\/6 + 52*q**2. Differentiate r(i) wrt i.\nAnswer: 20*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c - 5*c + 2*c + 0*c. Let t(g) be the first derivative of 3*g**2 + 1. Calculate -16*o(i) + 5*t(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -71 + 406436\/5712 + (4\/21)\/2. What is the nearest to 1\/2 in 14, u, 0.9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/503 - 16607\/4024. Find the common denominator of -115\/12 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -3 - 2) + 1. Let v be 3 + -1 - (f + 1). Let t = 5 - v. Solve -q = -t*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a3739 (base 11) to base 2.\nAnswer: -10011010111001001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 8*f. Let i be k(3). Let l(w) = -w**2 + 16*w - 7. What is the units digit of l(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 225\/607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-5)*2*(-15)\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.25 * -1.6\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 117. Let p(u) = -7*u - 22. Let h be p(-2). Let q be z(h). Which is the biggest value? (a) q (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1008 = 12262*d - 12298*d for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(132\/(-72)*21)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -171, -204, -213, -186, -111, 24?\n\"Answer: 2*k**3 - 47*k - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -12434324?\nAnswer: -12434331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24009896?\nAnswer: 2, 3001237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78615)\/(-8735))\/(2\/3 + (-1)\/(-3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1143 + 0.0823. Which is the third biggest value? (a) 0 (b) -5\/3 (c) 0.4 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 3 (c) 4 (d) 491\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3184561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12528350+-3\nAnswer: -12528353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -6268*q + 156698. Give l(25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 316058783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1858279 times 1?\nAnswer: 1858279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n - 14. Let s(k) = k - 15. Let q(c) = -2*a(c) + 3*s(c). Suppose x - 32 = 5*x. Let z be q(x). What is the greatest common divisor of z and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.049 in -0.5, 0.07, -12?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6779552, 6779423, 6779294, 6779165?\n\"Answer: -129*z + 6779681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 3. Let y(d) = 2*d**2 - 2*d - 1. Let n be y(2). Suppose 0 = -4*i + 9 + n. Calculate the remainder when f is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32243?\nAnswer: 19, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89 or 1210?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10514230 times -2\nAnswer: -21028460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 76317090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/3 + 4904*m\/3 - 6012304\/3.\nAnswer: -(m - 2452)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7402440 = 2*l - 8*l - 18*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 517 + -507. Find the second derivative of k*h**3 - 2*h**3 + 0*h - h + 0*h**3 - 10 + 11*h**3 wrt h.\nAnswer: 114*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 33 = 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-10))\/((-3)\/(-5)). Let i = -12 - -12.1. Let n = 23 + -43\/2. Which is the nearest to -0.1? (a) t (b) n (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 417763110760 and 4?\nAnswer: 417763110756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -0.1, 1\/5 in ascending order.\nAnswer: -27, -0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 2*p + 0 - 36 + 0*p.\nAnswer: 2*p - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/4, 0.07, -9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4325765 to the power of 1\/2, to the nearest integer?\nAnswer: 2080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (501\/6)\/((-26)\/(-1352)) and 6.\nAnswer: 13026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 789 a multiple of 263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 7 - (-5 + 9 - 6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 10:44 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-84*y**3 - 25*y**3 + 16*y**3) - 292 - 16*y**3 + 292.\nAnswer: -202*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g**(2\/15)*g)\/g))\/(g\/((g*g**1)\/g*g)))**(-39) assuming g is positive.\nAnswer: g**(-364\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56280 - 16546357\/294. Let d = -2\/49 + u. Sort d, -5, -3 in ascending order.\nAnswer: -5, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-416)\/520*5\/14)\/(2\/28*88)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w\/(w*((w**(-9)\/w)\/w)\/w*w*w)))\/w)\/(w*w*w**1))\/((w**6\/w)\/(w*w*(w*w**8\/w)\/w)) assuming w is positive.\nAnswer: w**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5583 less than 5?\nAnswer: 5.5583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iqlwwi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 - 2*w**5 + w**5 + (-3*w**3 + 0*w + 0*w)*(0*w + w**2 + 0*w) + 7 + 2*w**5 - 7.\nAnswer: -3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/24)\/(((-95082)\/(-208))\/(-53))?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -154 + 157. Let p(d) be the second derivative of 0*d**2 + 1\/50*d**5 + 4*d + 0*d**s + 0*d**4 + 0. Factor p(a).\nAnswer: 2*a**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108403064 divided by 8?\nAnswer: 13550383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-1))\/(-6*12\/(-72))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8 from 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -116.75 + -0.25. Let t = v + 117.0126. Round t to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 7493 - 134975\/18. Let i = -206 + 13. What is the common denominator of i\/(-30) - (3 + 1) and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 0*r - 3*r)*(9*r - 296*r**2 - 357*r**2 - 171*r**2 + 1211*r**2).\nAnswer: -387*r**3 - 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 826?\nAnswer: 8260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjfhfhjfhfffhjhhj. Give prob of sequence jj.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8*(-20)\/2320 + 465162\/29.\nAnswer: 2, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 1161*o + 82800. What is i(77)?\nAnswer: -668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 8) in base 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(3\/((-45)\/(-5))). Let n be g + 7\/(35\/25). Suppose 9*l - 28 = 2*l. What is the greatest common divisor of n and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 1. Suppose 0*v - 5 = -v. Suppose 0*d = v*w + 3*d - 1, 0 = 3*d + 9. Let a be y(w). What is the closest to -1\/4 in 1\/8, -1\/4, a?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 7*q - 3. Let g be b(6). Suppose -5*z = -214 + 39. Suppose 2*v = g + z. What is the remainder when v is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (516 - 741 - 1759)*(0*v**4 + 2*v**5 + 0*v**4).\nAnswer: -3968*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 213540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + -1 + -3 + -285 + 239.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 divided by 1094075?\nAnswer: -18\/218815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*z - 320, o = 2*o - 2*z + 85. Calculate the common denominator of (o\/(-28) - 2)*4 and -17\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 9:14 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22082 + 22096. Solve h = -4*n + 21, 10*h - 16 = -4*n + k*h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1256028?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9, 133, 2 in increasing order.\nAnswer: -9, -1, 2, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1474 + -2563. Let p be 3\/2 + c\/(-22). Suppose 4*f - 205 = p. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2764 = -8*d. Let h = d + 1036. Let s(f) = 345 + f - h. Let p(c) = -c. Determine p(s(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**2. Let b(f) = -112*f - 5. Let t(o) = 111*o + 6. Let q(s) = -6*b(s) - 5*t(s). Give q(c(a)).\nAnswer: -351*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 8:48 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 9. Let o(q) = -q**2 + 4*q - 6. Let i be o(4). Let b be g(i). Let u(h) = 30335*h - 5. Let v be u(b). What is v rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 11:41 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1219376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, v: 5}. Give prob of sequence vwvw.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from {k: 9, p: 2}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-2))\/(8 + 147\/(-18)). Find b, given that 3*b**5 + 67\/3*b**l + 8*b - 4\/3 - 19*b**2 - 13*b**4 = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 + 0 = 0. Let t be (1\/k)\/((-2)\/(-18)). Solve t*y + y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/10*2 + (-8)\/20. Let b be (57\/(-2))\/(p - (-9)\/(-3)). Let a = b + -563\/88. Which is greater: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 3:50 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/87125820 and 23\/40.\nAnswer: 174251640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 440271 - 4?\nAnswer: 440266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 506 divide 3206209798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 518 - -69. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2937971 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-1)\/(15\/25615). Let g be ((-22)\/1)\/((-2)\/157). Let v = k + g. Find the common denominator of -107\/12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -919b - 5?\nAnswer: -91a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -8*m. Let s(w) = w + 1. Let o(r) = -4*r - 3. Let t(d) = o(d) + 3*s(d). Determine j(t(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13874 and 18.\nAnswer: 124866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 292517 and 292616 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-5\/2))\/g)**(-29\/5) assuming g is positive.\nAnswer: g**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/30 - (-4)\/(-6). Suppose 2*d = -4*f + 71 - 41, -2*f + 3*d = 5. Which is the closest to 5? (a) 2 (b) f (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a = 29 + 227. Let r be a\/72 + 8\/36. Are 2\/181 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -79531?\nAnswer: -7952a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 p when three letters picked without replacement from {c: 2, p: 4, w: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6409*f**2 - 4002 wrt f.\nAnswer: -12818*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000671806372 rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*m - 24 = 0. Let b = 84 - 81. Solve -5*z - 3*h = -b*z + m, h = z - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**0\/f))\/((f\/(f\/((f*f*f**20)\/f)))\/f))\/(f**(-2\/9)\/f)**31)**(12\/11) assuming f is positive.\nAnswer: f**(716\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9641 divided by 19891\nAnswer: 9641\/19891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3 - 0 - 14\/(-6). Suppose 0*v = -t*v + 6. Determine y, given that 9 - 2*y + v*y**2 + 8*y + 6*y = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 105\/(32\/12 + -3). What is the common denominator of -99\/16 and (p\/(-14) - 1) + -6?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 + 2*x - 14*x**2 - 402 + 390 as v*x**2 + m + a*x and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17017, 68058, 153135, 272254, 425421, 612642, 833923?\nAnswer: 1089270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(-2\/9))**(-7)\/(g**(-2))**(-11\/2) assuming g is positive.\nAnswer: g**(-239\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - x - 2 = 2*x, -x = -w + 2. Let q be -2*w\/(-3 - -5). Suppose 0 = -2*a - q*a + 8. Solve 14 = 5*n - 2*p, 4*n - 2 = -a*p - p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 3) in base 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 372, 777, 1184, 1593, 2004, 2417?\nAnswer: 2832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**3 - 2*p**3 - 157*p + 155*p.\nAnswer: -8*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1.1. Let g = 0.3 - j. Which is the nearest to -0.1? (a) -5 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 5*l + 15 = 0, 1 = 2*l - 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 + 9*b + 12. Let t be r(10). Let u = t + 100. Factor 72*i**u - 45*i**2 - 5*i**3 - 47*i**2 - 16*i + 41*i.\nAnswer: -5*i*(i - 1)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4872000 to the nearest 100000.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m + 5111 + 11913 = -13116. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1202*m**4 - 6*m**2 + 1223*m**4 - 2492*m**4 + 2*m**4 + m**4 - m**4 + (-2*m + m + 3*m)*(m**3 + m**3 - m**3) - 2 - 2*m**4 + 2 + 0*m**2 + 0*m**2 - m**4.\nAnswer: -66*m**4 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32217*d**3*s**3 + 9*d**3*s + d*s + 449*s**3 - 101702*s**2 wrt s?\nAnswer: 193302*d**3 + 2694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 421208 plus 0.2?\nAnswer: 421208.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r + 22778*r**3 - 45555*r**3 + 22777*r**3 - 513*r**2 - 377 - 251 - r**4 wrt r.\nAnswer: -4*r**3 - 1026*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 13*q**2 - 16*q - 12. Is x(-13) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*s = 19, -3*c - 4*s - 8 = -2. Suppose -1 = c*k - 5. Suppose -k*f + 26 = -10. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.09 (b) -0.05 (c) 19351\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (98\/(-245))\/((-117)\/(-30) - 3)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.522 and 0.3.\nAnswer: -0.1566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 6*q**2 - q - 3. Let z be y(-6). Suppose 3*k = -4*r - 18, 0 = k - 3*r + r - 4. Let x be (k\/3)\/(6\/(-99)). Solve 2 = -z*h + x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 13*b - 36. Suppose 20 = -3*x + x - b*u, 5*x + 20 = -5*u. Suppose 2*g - 5*g + 3 = x. Is 0.08 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 717379779.\nAnswer: 3, 1297, 184369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3795631?\nAnswer: 7, 337, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8214 = -9*r + 808*r - 6967 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 142\/2953 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.6 and -5253172346?\nAnswer: 5253172346.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**2 - 2236*b - 8950. Determine c(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (18905 - 18942) + (121 - -1)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 270387\/(-323540) - 2\/56*-1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3983 + 4747 = -485*j for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2846, -2911, -2966, -3005, -3022, -3011, -2966?\nAnswer: -2881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from {p: 4, c: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 170 and 17827730?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*u**5\/11 - 26*u**4\/11 - 500*u**3\/11 + 984*u**2\/11 - 464*u\/11 + 64\/11 = 0. Calculate u.\nAnswer: -4, 2\/7, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-4*(sqrt(102)*2 + sqrt(102))*-3)\/(sqrt(294)*-1 - sqrt(216)\/sqrt(4)) + -1))**2.\nAnswer: 576*sqrt(17)\/5 + 88528\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - r + 272, 2*r - 13 = 4*c - 239. Suppose 12 + 4 = 4*i. Suppose i*l - 11 = 3*l. Calculate the greatest common divisor of l and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*o*p**3 + o*p**2 - 138156*o*p + 3*p**3 + 744*p**2 - 1 wrt p?\nAnswer: 246*o*p + 2*o + 18*p + 1488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*b + 51*b - 2*n - 6, -5*n = 2*b + 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -731810000 rounded to the nearest one million?\nAnswer: -732000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5\/7 - 44*x**4\/7 - 6*x**3\/7 + 136*x**2\/7 - 88*x\/7 = 0 for x.\nAnswer: -2, 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2. Let t(w) be the first derivative of 21*w**2\/2 - 56. Calculate b(t(g)).\nAnswer: -441*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3\/2)\/x)\/x)**(-1\/18)*x**4\/((x*x*(x\/(x\/((x*x*x**14)\/x)*x))\/x*x)\/x*x) assuming x is positive.\nAnswer: x**(-425\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/31)\/k**(2\/7)*k*k\/(k*k**4)*k\/(k**14\/k)*k assuming k is positive.\nAnswer: k**(-3086\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9141 + 9153. Solve 3*f + 2*a = 14, -3*f + 4*a - c = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152342743?\nAnswer: 7, 21763249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*n - 2)*(-307*n + 153*n + 2*n).\nAnswer: 304*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + -19 - (-50 - -76).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-206856)\/(-5837494) - 4\/94?\nAnswer: -2\/281","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09*0.0438\nAnswer: -0.003942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**6\/60 - w**5\/20 - 2*w**3\/3 - 4*w**2. List the prime factors of y(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -9835*x + 2076. Is a(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((-130)\/45)*(-1)\/3.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3139256 divided by 36\nAnswer: 784814\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-15*1)\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1100 - 160. Let d be 12\/10*10\/n*-14. Which is the nearest to 0? (a) d (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1523634198?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**27*q)\/(q*q\/(q*q\/(q\/((q\/q**(2\/35))\/q)))*q) assuming q is positive.\nAnswer: q**(908\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzjb when four letters picked without replacement from {b: 1, k: 1, z: 2, j: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38895 or 8440234\/217?\nAnswer: 38895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1333*q**2 + 1381*q**2 + 228*q**2.\nAnswer: 276*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + v - 68. Let i = -15 - v. Suppose 2*c = -n - i*c + 138, 3*c - 513 = -4*n. Calculate the highest common divisor of 18 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.085 + -146639596.\nAnswer: -146639596.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*c = -46263 + 18663. Which is smaller: 5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4 - 4 = 0. Let u be (-31 + -2)\/3*y. Suppose r - u = 2. Solve -n + o = 1, -3*n - 3*o - o - r = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-1)\/((-1)\/(-1)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -22. Let a = 0 - n. Let i = 61.5 - 62. What is the nearest to a in 0.2, 2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*c - 17, -c - 5*z = -2*z - 7. Solve -c*t - 150 = -29*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2257 is divided by 137?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1183715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.325613 milligrams?\nAnswer: 6325.613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and 5?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-5)*(x*x**4\/x)\/x*x*x*x**(-2\/9)*x**1\/x)\/((x*x\/x**2)\/x*x**5*x**(-3\/4)*x\/((x*x**(2\/3))\/x*x*x)) assuming x is positive.\nAnswer: x**(367\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.11 and 33065.4?\nAnswer: 33068.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 1, 142, -5 in decreasing order.\nAnswer: 142, 1, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 65.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 + 0*o**2 + 1080*o**3 + 0*o**2.\nAnswer: 1080*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (u + 0 + 0)*(1 + 1 + 0) + (52 - 181 - 24)*(2 + 2 - 2)*(2*u + 1 - 1) as f + g*u and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 2*c - 2*c)*(-4*c**3 + 0*c**3 + 5*c**3) + (-69 + 49*c - 73 + 142)*(3*c**3 - c**3 - c**3) + (-3*c**3 + 2*c**3 + 2*c**3)*(-4*c + 2*c - c).\nAnswer: 41*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(128)*2*-6)**2.\nAnswer: 460800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 0)*5\/50*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25.000553 + 25. Round x to five decimal places.\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, 3, 5 in descending order.\nAnswer: 6, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 9*c**2 + c. Let h be o(1). Let i = -12 + h. Sort 1, -1, i in increasing order.\nAnswer: i, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (552\/(-18))\/((-5)\/15). Suppose -7*s - n = 39*s. Sort -10, s, -5, 1 in increasing order.\nAnswer: -10, -5, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11\/14 + 69\/70. Which is the nearest to -18? (a) -1 (b) 2\/21 (c) u (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 158 * -180458\nAnswer: -28512364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.003 + 0.003. Are -2\/9 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30090 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-21)*i*i**(-18\/11))\/(i\/(i\/(i\/(i\/(i\/(i\/i**(1\/11)))*i))))**(10\/11) assuming i is positive.\nAnswer: i**(-2518\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d. Let c(s) = 11946610*s**2. Give c(i(h)).\nAnswer: 47786440*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22545918 divided by 3489?\nAnswer: 6462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/27456 and 43\/6?\nAnswer: 27456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31375 + 31430. Calculate the remainder when 170 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least as big as 74548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 2*u**3\/3 - 3*u**2 + 3*u + 8. Let z = 28 + 4. Calculate the remainder when z is divided by m(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 - (3 - (-11 - 19)) - (2 - -1).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 19*a + 6 = 22*a, 0 = -2*m - 2*a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 322728 to the power of 1\/2, to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 13432?\nAnswer: 147752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 2*u + 3 - 17, 2*u - 4 = 2*b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-15)\/(-2)))\/((-44)\/440)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1442, 1453, 1464?\n\"Answer: 11*g + 1431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*y + 251 = c, c + 82 = y. Calculate the common denominator of 31\/87 and c + 78 + (14\/(-3))\/(-1).\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1 (b) 35 (c) 1\/4 (d) -1 (e) 0.03453 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -334, -327, -320, -313, -306, -299?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r = 5*r - 765. Let v be r*(7\/(-5) + 1). Solve -2*c + v = -5*z, 2 = 2*z - 3*c + 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*h = -0*h - 86, -3*f + 85 = -5*h. Let n be (-4)\/(-14) - (-620)\/f. Is (-4)\/n - (-128)\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 4:50 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (4 - (11 + 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**4\/9 - 469*r**3 - 4457512*r**2\/9 - 1482556*r - 8889712\/9 = 0 for r.\nAnswer: -2164, -2054, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 975 - 2.\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 12.2, -2\/5185, 1?\nAnswer: -2\/5185","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82\/153149 + -6398320723\/170607986. Let o = -2\/557 - g. What is the common denominator of (0 - 1)*(-1 + -5) - 1490\/140 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 89.97 (b) 2\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 158.61 - 158. Let v = m + -0.60999796. What is v rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -26*l - 2. Let s(m) = 5*m**2. Calculate j(s(a)).\nAnswer: -130*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 2*v + 2*m, -m = 5*v - 15. Let r(o) = o**2 - 11*o**v - 12*o**2. Let d(p) = 2*p. What is d(r(s))?\nAnswer: -44*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15*(-28)\/(-12) - 0. Suppose 0 + 4 = -4*v + 3*o, 10 = v + 2*o. Solve -s + 4 = -5*n - 3*h, -4 = -v*h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 480.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (sqrt(128)*1 + 0 + sqrt(128) + sqrt(128)) - (sqrt(128) - 1*sqrt(128) - sqrt(128) - sqrt(128))*5)*1 + 0)**2.\nAnswer: 8192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 19*z**2 - 290*z - 46. What are the prime factors of l(31)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, c: 3, k: 1, q: 1, w: 1}. Give prob of sequence cwc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*(-5)\/10*-1. Suppose q*u - 78 = 2*u + 4*d, -5*d + 105 = u. Suppose -f + u + 12 = 0. What is f rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*t + 1 + 18, -4*t + 3*q = -29. Let r be 2\/10 - 12\/(-15). Let z = r + t. Solve 0*m - 4*m = z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63370 and 16.\nAnswer: 506960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -531, -532, -525, -504, -463, -396, -297, -160?\n\"Answer: g**3 - 2*g**2 - 2*g - 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21, -40, -75, -126, -193, -276?\n\"Answer: -8*c**2 + 5*c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -2*a**3\/3 + 3*a**2 - 4*a + 16. Suppose m(q) = 0. Calculate q.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k + k**2 + 219 - 433 + 221 + (-k + 3*k - 5*k)*(-3*k - k + 3*k) + k**2 - 2*k**2 - k**2 + 3*k**2 - k**2 - k**2 + (-1 + 2*k + 1)*(3*k - k - k).\nAnswer: 5*k**2 - 5*k + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -113*a + 103. Does 26 divide x(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -1. Let l be -3 - (-1)\/(2\/4). Let m(o) = -13*o**2 - 7*o + 5. Let z(v) = -7*v**2 - 4*v + 3. Let p(i) = 4*m(i) - 7*z(i). Give l*p(b) + d(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-34)\/(-4))*(-750)\/(-1125) - -12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -12, -4, 0, -16, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1844605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*l**2 - 111*l - 63*l**3 + 93*l - 5*l**3 wrt l?\nAnswer: -408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-2)\/(-1)*-2. Factor 0 - s**4 - 2*s**5 - 2*s - 2 + 4*s**3 - s**a + 0 + 4*s**2.\nAnswer: -2*(s - 1)**2*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/24? (a) -2\/3 (b) 0.2 (c) 74 (d) 1 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g = 10*g - 3*x + 27, -4*g - 4 = -4*x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m + 9. Let g = -33 - -21. Let f be (-7)\/(-3) + (-8)\/g. Suppose r - 27 = -4*c, -f*c - r = -14 - 7. What is p(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1551)\/495 - (0 + -3)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.5 - 10.4. Let i = -17 - v. Which is the third biggest value? (a) -1\/4 (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2452522013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 - -0.6568\nAnswer: 1.4568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-6)*98*-1. Let q be (-1 - 0) + (-77)\/u. Let w = -512\/15 + 34. What is the closest to -1\/4 in q, -0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100*311.\nAnswer: 31100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - m = 3, 2*w = -3*m + 1 - 0. Let o(d) be the second derivative of -d + 1\/2*d**w + 0 - 1\/6*d**3. Calculate o(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -24. Let c(u) = 33*u - 13. Let s be c(x). Suppose 2*b - 3*f - s = 0, -6*b + 10 = -5*b + 4*f. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -517, -2063, -4631, -8215, -12809?\nAnswer: -18407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 695 divided by 139.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 12:41 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**2 - 40466280*m + 40466285 = 0 for m.\nAnswer: -8093257, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ba + -5?\nAnswer: -c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -562*j + 425. List the prime factors of z(-4).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1083867311?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4985, 12831, 25909, 44219, 67761, 96535, 130541?\n\"Answer: 2616*u**2 - 2*u + 2371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6860*u**3 + 1714*u**3 + 1722*u**3 + 1710*u**3 + 1715*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 12. Find the common denominator of 45\/14 and (146\/h)\/(4\/(-6)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 31 = -15. Suppose -2178 = -r*g - 762. Is 31 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -62*n + 127. Let y be s(2). Which is the nearest to 3\/2? (a) -1\/2 (b) -1 (c) y (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*b*m**4*o - 28*b*m**4 - 33*b*m**2*o + 3*b*m**2 - 2*b*m - 2*b*o - m**4*o wrt m.\nAnswer: 672*b*m*o - 672*b*m - 24*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 80312 times -49\nAnswer: -3935288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*a**3 + 79*a**3 - 9*a + 9*a.\nAnswer: -191*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2560 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.111 (b) 4.8 (c) -0.2 (d) 2\/9 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2\/15 + 52573628*l\/15 - 345498295135298\/15 = 0. Calculate l.\nAnswer: 13143407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 10*b**2 + 3*b - 23. Let f be h(10). Calculate the greatest common factor of 133 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**2 + 4*g - 2. Let v be a(0). What is the units digit of -3 - -5 - (2 - v - 53)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7361268 to the nearest integer?\nAnswer: 2713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-1 - (5 + -1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-1)\/4) + (-266)\/63. Do q and -3\/26 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.1. Let o = -35 + 39. Which is the nearest to q? (a) 0.1 (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 e, and 1 n when four letters picked without replacement from {b: 2, n: 6, e: 5, z: 1, s: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.4 + -4.2. Sort u, -1, -3, 5 in descending order.\nAnswer: 5, u, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001122211011002 + -2?\nAnswer: -1001122211011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.80001196 to three decimal places.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 1:58 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 33595074 divided by 414754\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1810)\/(-1267)*4\/(-5))\/(((-10)\/28)\/(-5))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**2 - 8*o**2 - 2*o**2 + (o + 0*o - 6*o)*(-o + o + o) + 0*o**2 - o**2 + 0*o**2 - 3*o**2 + 3*o**2 - 2*o**2.\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, x: 2, z: 1, l: 1, t: 1, k: 1}. What is prob of sequence ux?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 9*i - 4. Let c be y(10). Let l = c - 5. Let g = -747\/69955 + 7\/2469. Is l greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*f**2 + 22 + 2 - 20 + (4*f**2 - 3*f**2 + 2*f**2)*(1 + 3 - 5) + 35 - 35 - 14*f**2 as t*f**2 + j + i*f and give t.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45051*l**3*m**5 + l**3*m**2 - 24*l**3 + l**2*m + l*m**5 + 2*l*m**2 + 11*l*m wrt m?\nAnswer: 2703060*l**3*m**2 + 60*l*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3.507 - 0.2\nAnswer: 3.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + (sqrt(405) + sqrt(405)*3)**2 + 3).\nAnswer: -19461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19521253, 19521256, 19521259, 19521262, 19521265, 19521268?\n\"Answer: 3*s + 19521250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5*m*m**9*m\/(m*m**(-3)*m*m*m*m)*m**10)**(-15\/2))**48 assuming m is positive.\nAnswer: m**(-8640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50773*j**2 - 101573*j**2 + 50785*j**2.\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4 - (-12)\/(-8). Let y(d) = -2*d**3 - d. Calculate the least common multiple of y(j) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-435\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4136118839 to the power of 1\/2, to the nearest integer?\nAnswer: 64313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169163 divided by -5.\nAnswer: 169163\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 21*v - 10. What is h(-21)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*g = -14, 4*v + 5*g - 2*g = 43. Let d(l) = 7*l**2 - 3*l + 2. What is the remainder when d(2) is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 - 20 - 8*t + 7 - 2*t - 7 + (2 + 1 - 1)*(-3*t + 6*t - t))*(3 - 1 - 5) to v + n*t and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vihieiieiihiii. Give prob of picking 1 v, 1 i, and 1 h.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18429, -18431, -18435, -18441?\n\"Answer: -x**2 + x - 18429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161883.5 millilitres to litres.\nAnswer: 161.8835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4823 divided by -4\nAnswer: 4823\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 10330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -21 in increasing order.\nAnswer: -21, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3366996930 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (2853 - -1 - -1)*12543\/555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 24 + 0 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4ef9cf (base 16) to base 5\nAnswer: 2311111014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -13. Calculate the greatest common factor of w and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 5*v - 27, 11 = -13*m + 15*m + 3*v. Which is the biggest value? (a) -253\/4 (b) m (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*p**5 - 9239*p**4 - 1862*p**2 - 76*p wrt p.\nAnswer: -180*p**2 - 221736*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1017*10\nAnswer: -10170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 148 - 85. What is the least common multiple of 24\/(-144) + 94*(-34)\/(-24) and o?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 675, 2264, 5361, 10470, 18095, 28740?\nAnswer: 42909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 + 312*g**2 - 11*g + 1745. Calculate n(156).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(441)*2 - 1*sqrt(9)*-2)\/(sqrt(108) - (-1*sqrt(108) + sqrt(108))*-3 - (sqrt(108) + -2*sqrt(108)*-2)).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18516*j - 37025*j + 18509*j + j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 46. Suppose 3 + 6 = d + 2*i, s = 5*d + 2*i. Solve -2*f - d = 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**5 + 19*v**5 + 40*v**5 + (5 - 12 + 12)*(v - 4*v + 5*v)*(v**4 - 2*v**4 + 0*v**4).\nAnswer: 53*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/((u**(-1)*u)\/u)*u\/(u*u\/u**0)*u*(u**(1\/4))**(-4\/3) assuming u is positive.\nAnswer: u**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 184 and 1518.\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**2 + 8102*c*p**2 + 3*c*p + 141*c - 43467100*p**2 with respect to c.\nAnswer: 6*c + 8102*p**2 + 3*p + 141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-31)\/(-3)*7*(-351)\/546)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -2\/299, -30, -0.4?\nAnswer: -2\/299","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/24 + 25\/(-3). Let b = 14 + d. Calculate the common denominator of -5 + b - 88\/10 and -81\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1709870106.628 and -499.\nAnswer: -1709870605.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 12*k**2 + 6709*k - 14. Let y(u) = -8*u**2 - 4467*u + 10. Let p(f) = 5*h(f) + 7*y(f). Find l such that p(l) = 0.\nAnswer: -569, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = d - 5*p, -3*d + 23 = -2*d + 5*p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 122 + -120. Solve 2*c = -8, -p - x*c - 5 = -0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9446277 is divided by 3148751.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1612324.21 - 3?\nAnswer: -1612327.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3891\/376 equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 5. Let x(r) = -5*r**2 - 7*r - 6. Let a(k) = -2*k**2 - 2*k - 2. Let g(q) = -8*a(q) + 3*x(q). Give g(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 10\/3 (b) -5 (c) -3\/2 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-375)\/(-750))\/(2\/(-8)*-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w = -17*w - 23*w + 532 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/3, 4, 0.05, -5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -103255*y + 117*y**2 + 103255*y + (0*y + y + y)*((-1 + 1 - 5)*(5 - 5 - 2*y) + 2*y - 1 + 1) in the form m*y**2 + a + k*y and give m.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**3\/3 - 14*y**2\/3 - 10*y - 6 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35873403 less than 35873402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**2*v + 211*l**2 + 192*l*v - l with respect to v.\nAnswer: -2*l**2 + 192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1077933 is divided by 359311?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 733573739 - 65.6.\nAnswer: 733573673.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6100 and 26596?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**2 + 3*r**2 + 7*r**2 - 8*r**2. Let a(d) = 73*d**2. Give a(o(k)).\nAnswer: 73*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -7) + 110\/(-77) + -4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607685 divided by -5?\nAnswer: -121537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 - -43. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-60)\/(-36) - (-44)\/(-3). Let j be ((-1)\/(-5))\/(d\/(390\/9)). What is the closest to j in 0, -4\/9, -2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-121)\/(-242) + (-212)\/56 + 2.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 18*t - 41. Determine z(7).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 147162676 divided by -5\nAnswer: -147162676\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7607 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1459895 millennia to centuries.\nAnswer: 1.459895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*t**5 - 7*t**4 + 3046*t**3 - 426106*t**2 - 1?\nAnswer: 720*t**2 - 168*t + 18276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 + 3 - 6 - k**2 + 2*k**2 - 3*k + 0*k**2. Let b be r(-2). Suppose -4*w + b = -1. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -438783 or -49?\nAnswer: -438783","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is (-5152)\/(-1232) + (-2)\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 293 = 2*d, -2*d = 3*q + d - 180. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m + 1109. Let c be n(-78). What is the highest common factor of c and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 626676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 0. Let j be (20 + -18)\/((-2)\/5). Let i be 13\/j - (-30)\/50. Is i != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -12*z + 242. Let d be v(21). Let n be d\/40*(-4)\/10. Let i = -0.2 - -0.1. What is the second smallest value in -4, n, i, 2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -13 - 7. Factor -x*s**2 + s**4 - 4*s**4 + 8*s**2.\nAnswer: -3*s**2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r. Let a(v) be the first derivative of -1\/3*v**3 - 3 + 0*v**2 + 0*v. Calculate a(m(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 5*z + 8 = 0, -3 = f - f + 90*z - 87*z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 6*d**2 - 18*d - 12. Let w be b(-8). Suppose -27*i + w = -23. Solve -5*k = 5*u - 5, 2*k + 2 - i = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 203 - 130. Is x a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a. Let z be k(-28). Let s be z\/21 + 4\/(-6). What is the greatest common factor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 4. Suppose -6 = -4*p + 2*p. Suppose -p*i + i = 0. Sort i, 4, v.\nAnswer: i, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 133, -2.2, -58 in ascending order.\nAnswer: -58, -2.2, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 - 79. Let h be ((-6)\/18)\/(3\/d). Solve 3*l - h = 4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 39*c**3 + 5*c + 9. Let i(g) = 59*g**3 + 8*g + 13. Let t(f) = 5*i(f) - 8*j(f). Differentiate t(r) wrt r.\nAnswer: -51*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.437 plus -1822.979?\nAnswer: -1836.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (104*t**2 + 745*t**2 - 109*t**2)*(0 - 1 + 3) + (-3*t**2 + 0*t**2 + t**2)*(-3 + 3 - 1) to the form q + w*t**2 + r*t and give w.\nAnswer: 1482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**4\/78 - 2*o**3\/39 - 15*o**2 + 96*o - 10. Find i, given that f(i) = 0.\nAnswer: -13, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -130*y**2 - 7*y + 3. Let t(u) = -65*u**2 - 3*u + 1. What is 5*t(b) - 2*x(b)?\nAnswer: -65*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, n: 15}. Give prob of sequence pnp.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i - 127 + 73. Solve -10*o + i*o = -12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59683784 to the power of 1\/2, to the nearest integer?\nAnswer: 7726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 + 5*q - 41)*(194*q**3 - 194*q**3 - 3*q**4).\nAnswer: -15*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 226, -89, 5 in increasing order.\nAnswer: -89, -20, 5, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -61 divided by 28907\nAnswer: -61\/28907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0090121324 to four decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.18 to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83*z**3 - 1735*z**2 wrt z?\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -0.06, 0.2, 1, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by -57\nAnswer: -49\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 497 or 496?\nAnswer: 497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -1 - (8 + (-30 - -29))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 31421940.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -102.14 + 54.\nAnswer: -48.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 2*t - 5*t + 4, -5*t = -5*r - 40 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.147 and -316.\nAnswer: -362.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -6*c**3 - 13*c**2 - 6. Let m(o) = o**3 + o**2. What is b(x) + 5*m(x)?\nAnswer: -x**3 - 8*x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/13, 6100\/21, -5, -4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 45 = 2*m. Let a = 39 + m. What is the remainder when 10 is divided by 3 + (8\/(-6) - 2\/a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m**2 + 103*m - 315. Let s(j) = -11*j**2 - 154*j + 474. Let b(l) = -5*s(l) - 8*x(l). Is b(-43) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 264?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17 + (-5 - -2 - -6). Let s = z + -10. What is the smallest common multiple of s and (-36)\/10*(-80)\/24?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 19*h**2 - 112*h - 197. Give g(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28502416 is divided by 2192493.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 915 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 245 = -5*u - 115, 5*u + 1840 = 5*y. Does 19 divide y\/20 - (-1)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3750 + 3750 - 300*o**2 to the form i*o**2 + a + m*o and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-5 - -6) - (5 + -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 5:23 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1516371717 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.22 to 1 decimal place.\nAnswer: 19.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.7797 minus 464.5?\nAnswer: -470.2797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5575618 to the nearest integer?\nAnswer: 2361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128)*1 + sqrt(128))*-4)\/(sqrt(100)*-1*4).\nAnswer: 8*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04203 - -0.0389. Round j to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1070, 7996, 26806, 63446, 123862, 214000, 339806?\nAnswer: 507226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/9)\/j**(-3)*(((j*j\/j**32)\/j)\/j)\/j**(4\/11))**(-2\/23) assuming j is positive.\nAnswer: j**(5726\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*b + 134*b + 999 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1, 4.7, -33971, -0.3?\nAnswer: -33971","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 432 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**2 - 38*u - 5. Is 8 a factor of v(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17237 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1232422 + -5?\nAnswer: -1232427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3774.99992224 + 3775. What is p rounded to 6 dps?\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*w - 232 - 747. Suppose 65*g + 96 = w*g. Solve 6 = 2*u + 5*p - g, -14 = 2*u - p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 10) in base 9?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 + 4*o**4 - 4*o**4 + (-o + o + o)*(1 - 1 - o**3) + (-2 + 2 - o**2)*(3*o**2 - 2*o**2 + o**2) + o**4 - 4*o + 4*o - 10*o**4 + 7*o**4 - 7*o**4.\nAnswer: -10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -15*z**2\/2 - 57*z - 107. Calculate the remainder when 163 is divided by a(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*u - 2020 + 2325 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -164 (b) -20\/7 (c) -2\/13 (d) 1.1 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 427.0000346 - 427. Round m to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33600 rounded to the nearest 1000?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13332*y + 2*u + 126 = -13328*y, 13*y - u - 41 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3795*b**3 + 1820 wrt b.\nAnswer: -11385*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 648563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -4, -27.\nAnswer: -27, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m - 20 + 48. What is the units digit of 58 + (5 + -3 - m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 18199494?\nAnswer: 18199494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 9:06 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.080208 and 2?\nAnswer: -0.160416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 1 - 3 = 0. Let v be -2 - t - 80\/(-30). Let z = -199.6 - -200. Sort v, z, 1, 0.\nAnswer: v, 0, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443*t = -62*t - 1143 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -7) + 20 + (3 - 5 - -18)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -b1 (base 14) in base 10?\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(68))\/(-2*sqrt(8)\/sqrt(2)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 13 + 1 + (3 - 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 10*q + 13. Let f = -21 + 32. Let j be a(f). Suppose -88*l = -87*l - 16. What is the greatest common factor of l and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -328 + 330. Solve h*q = 3 - 11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 15. Let v be (-70)\/(-21) - y\/6. Let h(x) = x**3 - 7*x**2 + 8*x - 8. Let j be h(6). Solve p + 4*p = -5*a - 15, j*a + v*p = -13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/45 and 151\/142500.\nAnswer: 427500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*q + 708 - 708)*((-1 + 2 - 2)*(-1 + 2 - 2) + 2 + 6 - 5 + (-1 - 2 + 5)*(0 + 4 + 9)*(4 + 0 - 2)).\nAnswer: 896*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2631567.6 seconds to minutes.\nAnswer: 43859.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-82)\/10 - 6\/(-30). Let a = r + 9. Suppose 0 = 4*u - 3 - a. What is u rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*a**3 - 166*a**3 + 100*a**3.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(3*(-3)\/15). Suppose -k + 0 = -r - 9, 29 = t*k - r. Suppose -k*f + f = -108. What is the highest common divisor of f and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1733 is divided by 102.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*n - 2*a, -3520647*n - a = -3520650*n + 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -21*g + 82. Let b be j(4). Let f be b - ((-9)\/1 + -2). Calculate the greatest common divisor of 12 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*d + 104 - 2*d - 10*d + 478 - 7*d in the form v*d + b and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 + -4 - -8) - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2066 - -2097. Solve -d*p + 33 = -122 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 2711493\nAnswer: 1355746.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1*4*sqrt(156) + sqrt(156))\/sqrt(12))**2.\nAnswer: 24*sqrt(13) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + (sqrt(91) - -2*sqrt(91))*-2)*-3*4)\/(6*(sqrt(448)*2 + sqrt(448)) - (sqrt(448) + -2*sqrt(448)*-3))*2.\nAnswer: 15*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 184*s - 357*s - 43 + 187*s + 215*s**2 - 216*s**2. Determine p(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 - 8*l + 3*l**3 - 7*l**3.\nAnswer: -2*l**3 - 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 2058506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2031 + 4245. What is l rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -1*sqrt(448))**2 + (sqrt(343) - (sqrt(343) + -3)) + -3.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/14316 and 49\/32211.\nAnswer: 128844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4089841?\nAnswer: 7, 29, 20147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**3 - 82870*r**2 + 48846775*r - 48763910 = 0 for r.\nAnswer: 1, 611, 15962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -5.8. Let z = -8 - -9. Let x = w - z. What is the second biggest value in -1\/3, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-1) + 3)*-387. Suppose -4*j - 143 = -i. Let g(u) = 3*u**2 + 3*u - 2. What is the remainder when j is divided by g(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 0*j**3 + 0*j**6 + 0*j**5 + 1\/10*j**7 - 7 - 15\/8*j**4 - j**2 + 0*j. What is the second derivative of n(b) wrt b?\nAnswer: 252*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91*d - 568*d**6 - 1 + 95*d + 13*d**2 - 4*d wrt d.\nAnswer: -68160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -10*d**3 + 2*d**2 - 2*d - 5. Let u be p(-3). Let q = -127 + u. 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 a be (-1 - 1\/(-2))*6. Let y be a\/6*(-8)\/1. Put -4, y, -3 in descending order.\nAnswer: y, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -119.175916 and 0.04.\nAnswer: -119.135916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-12)*236 + 196\/(-84)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94609*r + 94605*r = 3*i + 143, 0 = -i - 23*r + 39 for i.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -12*b - 35. Let a(t) = t. Give q(a(i)).\nAnswer: -12*i - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3.8, 0.02, 1, -76?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 87332?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1*6\/(-27))\/(48\/(-36))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-5))\/((-2)\/5). Let s = -0.96 - 0.04. Which is the biggest value? (a) w (b) s (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*g + 63*g - 303*g + 73*g + 77*g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjjjtjjjtjjt?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, 3, 19, 33, 45?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(0 + sqrt(192)) + -4 + sqrt(192)*-3)**2 - -2*(sqrt(192)*1*1)**2*6)*6.\nAnswer: 2688*sqrt(3) + 70368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 636\/(-2968)*(-7)\/(-4).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -5, 2, 89\/35?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 5*f - 2. Let a be d(-5). Let s = a - -7. What is the lowest common multiple of 4 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 6*r**2 + 4*r. Let m be c(-7). Let f be (-1)\/2 + m\/6. Suppose j = f*h + 27, -3*j - 3*h = 2*h - 11. Solve -2*q - j = -5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 5 (b) 0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -2*c + 5*j, -3*c = 3*j - 22 + 1. Let t(b) = -575 + 3*b + 10*b**2 + 570 + 34*b**c + 0*b. Is t(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4*(-4 + (sqrt(147)*1*-4 + (-3*(sqrt(147) + 0))**2 - (-1*sqrt(147)*3 + 2*sqrt(147) + -5 + sqrt(147))**2)).\nAnswer: -5175 + 112*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 8. Let w(b) = b**2 - 8*b - 2. Let q(v) = 3*v**2 - 23*v - 7. Let t(r) = 2*r + 4. Let y be t(-6). Let g(x) = y*w(x) + 3*q(x). Give g(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -663 + 670. Is f at least as big as -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*h*m**3*o**2*u - 33*h*m**3*u**2 - h*m**2*o**2 - 2*h*m**2*o*u**2 + 10*h*m*u**2 - m**2 - 33*m*o**2 wrt m.\nAnswer: 72*h*o**2*u - 198*h*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.24692 years to decades.\nAnswer: 5.324692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4631 + 9264 - 330*w - 4633 to the form i + h*w and give h.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -8, 3 in ascending order.\nAnswer: -8, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -11*v**2 - 94*v + 62. Let u be x(-8). Let o be 2*(-2)\/((-2)\/1). What is the greatest common divisor of o and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 248, 3, -1\/3 in increasing order.\nAnswer: -1, -1\/3, 3, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 - 2*c**3 + 3*c**3 + (0*c - c + 0*c)*(2*c**2 + 3 - 3) - 4 + 16*c**3 + 6 + 0.\nAnswer: 13*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48414343 to the nearest integer?\nAnswer: 6958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/32 and -39\/902.\nAnswer: 14432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 13*t - 50. Let f(d) be the second derivative of -3\/2*d**2 + 0 - t*d + 0*d**3 + 0*d**4 - 3\/20*d**5. Find the first derivative of f(g) wrt g.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -1061, -930 in decreasing order.\nAnswer: -28, -930, -1061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.3, -0.4, -0.6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3233 = -1145*o - 7072 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/11, 24362, 0 in ascending order.\nAnswer: -0.2, -2\/11, 0, 24362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 185*i**2 - 2211*i - 95. Determine d(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 4*j**2 - 4*j - 1. Is i(-6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + 5 - (186 - 168)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1720411 millilitres to litres.\nAnswer: 0.0001720411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + m**2 - m + 3. Let v be i(0). Let u be ((-3)\/(-9))\/((-3)\/(-18)). Suppose -g + u = -0. Solve 0 = -2*a - v*a + g*x + 11, -a - 2*x = 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 21*a**2 + 10300281*a + 5885868 = 0.\nAnswer: -490489, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 - -92 - (-1 + 8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4*(-354)\/(-5310).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12452 = 381*s - 1385 + 2788 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7*c + 52. Let r be z(7). Suppose 2*i - 4*n - 16 = r*i, 0 = -i - n - 4. Solve -2*o - 5*o + 7 = i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -9) + 0 - 1. Suppose -32 = -r - c*k + 4, -144 = -4*r + 2*k. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.07, 1, -185 in increasing order.\nAnswer: -185, -0.07, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 10*s + 12. Let b be o(8). Let h be (-5 + 0)*(b - -3 - 184). Suppose 4*k = 5*g - k - 920, 4*k + h = 5*g. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 3324181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8\/5, -1\/14, -4 in decreasing order.\nAnswer: 8\/5, -1\/14, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 23550*x - 47112*x - 165 + 23551*x. What is w(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (477\/(-54) - -9) + (-1)\/2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -319*y**2 - 115*y + 122. What is v(2)?\nAnswer: -1384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 278*w**3*y**3 - 47*w**3*y**2 + 31*w**3 - 2*w**2*y**3 - 819*w*y**3 - 36 wrt y.\nAnswer: 1668*w**3 - 12*w**2 - 4914*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34226 is divided by 192.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000100000100 (base 2) in base 15?\nAnswer: -1456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 0) + (-12 - (-25 - -10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 + (15 + -116 - -21) - (-1 - 9)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 3454 + 1302 = 0. Suppose -2375 = -13*b - u. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**5 + 2 - 2 + (-s**5 - 2*s**5 + 2*s**5)*(0 - 3 + 4) + 0*s + 0*s - s**5 - 5*s**5 + 6*s**5 - 3*s**5.\nAnswer: s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: a93aa (base 16) to base 3\nAnswer: 1022012211200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v + 14. Let t be u(5). Let a = t + -19. Let k(d) = 2*d**2 - 7*d + 7. What are the prime factors of k(a)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -163 - -63. Let z = u + 112. Suppose -3*p = -z, 4*o - 751 - 473 = p. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 16) to base 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4435 + 13306\/3. Suppose 0 = -5*g - c + 5, 2*c + 0 = 5*g - 20. What is the second smallest value in p, 0.1, g, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)*a)\/a*a*a**(-2)*a*a**2*a*a*a\/a**(-4\/3)*a*a assuming a is positive.\nAnswer: a**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 7) in base 9?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 4*y - 12. Let l = -114 - -104. Let w = l - -5. What is the second biggest value in -1\/6, y, w?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or 2.4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 2*b - 5*m = 5, 4*b + 3*m = -3. Suppose -3 = y + u - 2*u, b = -y - 3*u + 17. Find the second derivative of 2*q + 0*q - 2*q**2 + 4*q**y wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*h + 192, -8*j + 6*j - 3*h - 348 = 0. Let p = 77 + j. What is p rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 7495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 6, 28 = 2*o - l - 25. Let n be (1 + o\/(-20))*-5. Solve -3*i + b = -9 - n, -5*i + 15 = -b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 5*(sqrt(931) + 0 + 3 + 1*sqrt(931)*1 - ((sqrt(931) - (sqrt(931) + 2 + 4)) + 1)))*-5)**2.\nAnswer: 157500*sqrt(19) + 2378125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -30 + 8. Suppose -p*f + 8*f = -12. Solve 0 = -f*i + 5*n - 1, -1 = -2*i + 4*n + 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4, 0 = -2*j - 2*n + 7*n + 5. Suppose 0 = 3*f - j*f. Solve 3*r + f*r - 5*o = 12, 2*r + 5*o + 17 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33115 to the power of 1\/2, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 26415500 to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -306 by -2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 163, 189, 203, 199, 171, 113, 19?\n\"Answer: -g**3 + 33*g + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**5\/7 + 60*q**4\/7 - 2*q**3 - 408*q**2\/7 + 360*q\/7 = 0.\nAnswer: -30, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1))**(3\/25)\/((((n\/n**5)\/n)\/n)\/n**4))\/(n**(2\/9)\/n*n*n\/(n**(-1\/3)\/n*n*n)*((n*n**6*n)\/n)\/n**(3\/5)) assuming n is positive.\nAnswer: n**(739\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -10*p**3 - 3*p**2 - 2*p - 3. What is the units digit of t(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1154\/63 - -170\/9. Which is the second smallest value? (a) x (b) -3 (c) -2\/9 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -a + g + 25, -48 = -4*a - 5*g. Solve -34*w + a*w + 14*w - 3*w**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000037926 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -2*j + 1 + 20\/3*j**3 + 13\/2*j**2. What is the derivative of f(v) wrt v?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*f = -5, 5*x - f = f + 14. Let j be (-3)\/(-1) - (3 - x). Let s = -221 + 221. Solve s = q - 0 - j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (3 - (2 - 8))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -402 - -406.98. Let d = v + -5. Let y = d + -0.58. 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 -20*t = -154 - 86. Solve -22 + t = -2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 3*o**2 - 2*o - 3. Let f be a(-3). Suppose -f*x + 5 = -31. Suppose -5*d - x = 13. What is the smallest value in 0, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16491277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 134.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154 (base 13) to base 2.\nAnswer: 11101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/91 and 41\/70.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 3*p**2 - 8*p - 8. Let r be l(7). Let c = 238 + r. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*s - 85*s**2 + 45*s**2 + 41*s**2 to n*s + p*s**2 + h and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 6*c. Let z(b) = 2*b**3 - 5*b**2 + b + 9. Let i be z(3). Suppose -3*y + i = f + 2, -5*y + 33 = f. Calculate n(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2698*x + 2701*x - 8068*x + 2696*x.\nAnswer: 27*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -143, 3, -5, 87.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*x = 0. Suppose 10 = 2*l - x. Solve l*o = -1 - 14 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 j when three letters picked without replacement from dddddddjddddjdjdddjd.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -17 (b) 4 (c) -0.2 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 20 (b) -24 (c) 1\/2 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.053665698 to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -1 - 1 + 1 + 8*i. Let k(r) = r. Suppose 4*w - 3*w - 5 = 0. Suppose 2*x + w - 17 = 0. What is x*k(h) - p(h)?\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**4\/4 + 4*a**3 + 7*a**2\/2 + 7*a + 40. Let p be u(-11). Solve 7*w = -p + 16 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**6\/15 + 21*g**5\/10 + 109*g**4\/6 - 7*g**3 - 110*g**2 + 1135*g + 1. Suppose q(k) = 0. What is k?\nAnswer: -11, -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21\/5500 - -101923\/3646500. What is the common denominator of a and -34\/39?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 389 and -0.00281.\nAnswer: -1.09309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4 + 4 = 0. Suppose -210 = -4*n - 6. Is (6\/9)\/(h\/n) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 7. Let x = 0 + c. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*w + 130, 4*u + 0*u - 2*w = -136. Let x be (0 + 1)\/((-5)\/u). Calculate the highest common divisor of 56 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 115.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 2*d**2 + 2*d + 2. Let b(q) = -q**3 + q**2 - 2*q - 3. Let z(x) = -5*b(x) - 6*y(x). What is the tens digit of z(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/2)\/(-32 - (-1449)\/46)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 731 is divided by 186.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16016 divided by -4.\nAnswer: 4004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/5 - 4)\/(4\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*1)\/sqrt(11) + sqrt(175)*-3)*-1.\nAnswer: 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + (-1)\/((-42)\/(-511)) + 63\/54?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyyk when four letters picked without replacement from {k: 2, y: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + (6\/(-3) - -2)\/3. Which is bigger: o or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6616 is divided by 3172?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 13. Let w = -5 - u. Suppose 144 = -0*q + 3*q. What is the highest common factor of w and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 1, 0.\nAnswer: -5, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 1. Let z be i(-1). Suppose 0 = -4*m + 4*c + 288, z*m - 4*c - 75 = -m. Let a = -40 + m. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + sqrt(2)*2) + -1.\nAnswer: 4*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -5) + -2 + (2 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 6:21 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -549104.004 to the nearest 1000.\nAnswer: -549000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 329 + -227. Let n = u + 102. What is the remainder when n is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 12 = 4*y. Let z be 4\/16 + 2\/y. Let f = -15 + 11. Which is bigger: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5, -1034.8, -2\/11?\nAnswer: -1034.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 - -321650?\nAnswer: 321668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7432 + -6246. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 44722050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -166, 2309, -5, -3\/2, -8, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684862?\nAnswer: 2, 17, 20143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3 (b) 2\/11 (c) 5 (d) -2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006226036857 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p**2 + 25*p**3 + 105 + 22*p**3 - 46*p**3.\nAnswer: p**3 + 21*p**2 + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 12:07 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -0.3 (c) -10 (d) 0.32 (e) 7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 + -98. Let j be 26\/(-42) + o + 16\/(-6). Let p(u) = u**2 + 4*u - 6. Let w be p(-5). What is the nearest to j in w, 3, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1099*s**2\/2 - 402231*s\/4 + 549\/4 = 0. What is s?\nAnswer: -183, 3\/2198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 919 is divided by 451.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -813\/11 + 74. Calculate the common denominator of d and -11\/86.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by 44.\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 57925.7664 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -11*k + 6. Let x(f) = -18*f + 11. Let c(z) = -5*u(z) + 3*x(z). Let p = -3 - -6. Suppose r + p = -0*r. Calculate c(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1338824?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 + 4*q + 13. Let h be f(-6). Let j = h + -39. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d + 2*u = -100, 4*d - 862*u + 866*u - 7 = 9 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 at most 545539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from mjnniwmfnwwmmw?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-58*n - 76*n + 17*n)*(-7 + 7 + 2*n**3) - n**4 - 5 + 5 to t + y*n**4 + p*n**3 + k*n**2 + x*n and give y.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -216208104 divided by -12\nAnswer: 18017342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9287 (base 10) to base 12.\nAnswer: 545b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r**2 + r**2 - r**2)*(-17 - 48 - 18) to the form o*r + w + x*r**2 and give x.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 13*h**2. Let l(o) be the second derivative of -o**4\/24 - 95*o**2\/2 - 19*o. Let i(p) be the first derivative of l(p). What is g(i(y))?\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09 - -248.8.\nAnswer: 248.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3224503?\nAnswer: 269, 11987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2374 divided by -2?\nAnswer: -1187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(448\/98))\/(6\/108*(-9)\/(-3)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1068543630 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3092910.\nAnswer: 2, 3, 5, 131, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 133 + 1305. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -561269855*r**3 - 920*r**2 - 2*r + 141302 wrt r?\nAnswer: -3367619130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 19 = -3*s, p - 3*s + 9 = -4. Suppose 10*g = 15*g. Suppose 2*d - 3 = 1. Solve d = -p*j - g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255 + 12\/(-2) + 6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12720 and 4404565?\nAnswer: 211419120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 370.5 - 370.6. Which is the third smallest value? (a) -1\/5 (b) 0.3 (c) 2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.92 - -2.92. Suppose p + 0*p + 1 = 0. Let j = 0 + -4. What is the closest to g in j, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09083 times 0.3\nAnswer: -0.027249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**2 + 2*b**2 - 4*b**2 - 4*b**2.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 281851 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 58 - 2. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**8\/6720 + v**7\/1260 - v**6\/720 - v**4\/3 + 5*v**2. Let a(c) be the second derivative of n(c). Find o such that a(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = -5*z + 968. Let k = 123 + z. Suppose -2*b - 188 = -2*d - 4*b, 4*b - 186 = -k*d. Is 33 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11362 and 41990.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z**3 + 2. Let l(s) = -379*s**3 - 544. Let g(i) = -2*l(i) - 2*u(i). What is the derivative of g(w) wrt w?\nAnswer: 2298*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = w - 81*s + 38*s + 40*s, 4*w = 4*s + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**5 + 4*m**5 - 3*m**5)*(-903 + 416 + 425)*(3 - 4 + 3).\nAnswer: -248*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32895, 65794, 98693, 131592, 164491?\nAnswer: 197390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/244 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 5*b = -13*b + 7056. What is the least common multiple of b and 42?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21148215.\nAnswer: 3, 5, 11, 67, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -0.3, 437, -36.\nAnswer: -36, -0.3, 3\/7, 437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 224 by -28.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 2:17 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 529000 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*z + 2*z, -18 = -2*n - 2*z. Suppose 3*h + 683 = n*l, 174 = l - 3*h - h. What is the highest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -137*l**6\/40 - 23*l**4\/8 - l**3\/3 - 486*l**2. Find the second derivative of i(v) wrt v.\nAnswer: -2466*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 110703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*v - 347043, 5*i - 578401 = -50*v + 53*v. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -123, -194, -271, -354, -443?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 146 - 2043\/14. Which is the nearest to -1? (a) 1\/4 (b) d (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**5\/15 - s**4\/8 + 43*s**3\/3 + 29. Let n(a) be the third derivative of r(a). Give n(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 851*r**3 - 429*r**3 - 10 - 460*r**3.\nAnswer: -38*r**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2565*a*k*n**2 + 2*a*k + k**3*n**2 - 229*k**3*n - 4*k**2*n**2 + 230*n wrt n.\nAnswer: -5130*a*k + 2*k**3 - 8*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*p + 2, -8 - 1 = 3*f + 5*p. Let z be ((-6)\/9 + (-2)\/6)*-1. What is the closest to f in -0.3, z, -2\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 8 = 2*w - 0*w, 0 = -4*w - u + 16. Suppose -j - w*j + 370 = 0. Calculate the remainder when j is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15601598.\nAnswer: 2, 7800799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59761*f**3 - 167640 wrt f.\nAnswer: 179283*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 42.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101000101011 + -1?\nAnswer: 11101000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 62*q - 961\/3.\nAnswer: -(3*q - 31)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (12*(-767)\/1062)\/((-7410)\/540)?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(-102)*6*(-4)\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1792.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98258 is divided by 98251?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.1, -0.04, 1, -2, 2.805?\nAnswer: 2.805","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighty-one quarters of a millennium?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**2 + 2*v**3 + 55*v**4 - 64*v**4 + 27*v**2 wrt v?\nAnswer: -216*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 7 - 1. Let i be (u\/(-8))\/(8\/64). Suppose 0 = i*n - 3*w - 107, -w + 58 = n + 2*w. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0. Let k be 165484\/26964 + w\/(-7). Let n = 4\/107 + k. Find the common denominator of -97\/10 and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6 + 24 = 0. Let h be ((-4)\/(-5))\/(z\/15). What are the prime factors of h\/6 - (-40)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/3636 and 17\/252?\nAnswer: 25452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 796 and 4?\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**3\/3 + 4*l**2 + 9*l - 27. Let b = -18 + 26. Is m(b) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 252\/19 + 2\/19*s**2 + 254\/19*s.\nAnswer: 2*(s + 1)*(s + 126)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -50228, -50309, -50390, -50471?\n\"Answer: -81*s - 50147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1579778 and 183?\nAnswer: 4739334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 25\/56*q**8 - 1\/30*q**6 - 38 + 0*q**5 + 0*q**3 + 11\/2*q**4 + 0*q**2 + 0*q**7 - 2*q. Find the third derivative of b(y) wrt y.\nAnswer: 3000*y**3 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + j**3 - 1 - 2)*(56 - 239 - 20)*(2 - 1 - 2).\nAnswer: 203*j**3 - 203","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.09 + 0.1. Let n(c) = c**3 + 3*c**2 - 2*c + 4. Let z be n(-4). Let u = -0.8 + 0.9. What is the closest to u in z, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -641*b + 479*b + 5832 = 0 for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6287 - 4.\nAnswer: 6283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 + 61. Suppose -23 = -r*j - 3*s + 2, 0 = j + s - 7. Calculate the highest common factor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*p + 5*t, 0*p + 2*t - 5 = -p. Let m be 8*-3*p\/3. Let y = 15 - m. Calculate the remainder when 13 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 d when three letters picked without replacement from ddiiidiiiiidd.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*s - 4. Suppose -2*k = 2*r + 8, 7*r - k - s = 2*r. Let o be (1 + 1\/3)*3. Sort r, 10, o in descending order.\nAnswer: 10, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5*u - 141. What is n(-27)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 163\/7. Which is the second smallest value? (a) d (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79775.202 minus 70086?\nAnswer: -149861.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27123?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7476 + -7476.3. Let g = -0.2 - -0.1. Let p be ((-4)\/(-3))\/((-10)\/15). What is the second biggest value in g, p, b, 1\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 9:54 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqqqqqzq?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 909868614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -9*a + 15. Suppose -a*s = -42 - 30. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -490*q**2 + 490*q**2 + 1396*q**3.\nAnswer: 1396*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -2\/3, 4, 5, 2431, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*u + 46*u + 52494 = 0. What is the remainder when u is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/((-72)\/531))\/(2\/(-8)). Let c = 124 - v. Calculate the greatest common factor of 14 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dfltggfftcld. What is prob of sequence gdtd?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*r + 5 = 3, 5*b + 5*r = 10. Let n(u) = -u**3 + 6*u**2 - 4*u - 4. Let w be n(b). Calculate the highest common factor of 60 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**3\/3 + 27*d**2\/2 + 178*d + 14629. Determine g(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, 11, -3292770 in decreasing order.\nAnswer: 11, 8, -5, -3292770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 338.61756 to 1 decimal place.\nAnswer: 338.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 + 5*y**2 - 2*y**2 + (-3*y + 2*y + 2*y)*(760 - 31*y - 760) + (-2 + 2 + 1)*(y - y**2 - y) - 4*y**2 + y**2 + y**2 - 3*y**2 + 0*y**2 + y**2.\nAnswer: -34*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2393 is divided by 795?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 720, 1285, 1550, 1365, 580, -955, -3390, -6875?\nAnswer: -11560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/352 and -19\/275?\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -461, -139, 5 in ascending order.\nAnswer: -461, -139, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -9. Let b = c - -5. Find the second derivative of -5 + 0*g + 2*g + 5 + b*g**4 wrt g.\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 50 + 2 = 0. Suppose 64*b - 62*b = 64. Calculate the smallest common multiple of b and s.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 60 + 420. Calculate the remainder when b is divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m = -5*g + 30, 59022*m - 59017*m - 15 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2 - 0)\/((-462)\/6))\/(8865\/(-12411))\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1880?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.405371 - 10.52.\nAnswer: -10.925371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*u - 4366*u - 30392 = -645*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = p + 9. Let m(d) = -5*d + 163 + 182 - 345. Give m(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 31 + 21)*(-13 - 14*a + 2*a + 15).\nAnswer: -288*a + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 369, 751, 1133?\n\"Answer: 382*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31350 and 220?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2064241, -2064250, -2064259, -2064268, -2064277, -2064286?\n\"Answer: -9*q - 2064232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26385\/2 smaller than -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -19*m**4\/12 + 23*m**2. Let u(i) = i**2. Calculate o(u(k)).\nAnswer: -38*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 73*r*w*y**2 - 14*r*w*y + 6*r - 296115*w*y**2 + 2*w wrt r?\nAnswer: 73*w*y**2 - 14*w*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83 + 247\/3. Let o = 0.22 + 1.78. What is the smallest value in 0.3, 1\/2, o, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 2*g**2 + 3*g**4)*(-3557*g + 1781*g + 1730*g - 113).\nAnswer: -138*g**5 - 339*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (478\/(-5019)*(-1)\/(1\/108))\/((-21)\/196)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 5*x - 104, -54 - 76 = 5*i - x. Put 3, i, -1, 6 in increasing order.\nAnswer: i, -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1840039 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -2.9. Let n(y) = -y**3 - 10*y**2 - 7*y + 14. Let s be n(-9). What is the closest to -2 in s, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225519273?\nAnswer: 3, 7, 277, 12923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-4)*(-20)\/(-2)*(3552\/(-240))\/(-37)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*k + 120233 + 39833 = -96974. What are the prime factors of k?\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 93447 and 1.\nAnswer: 93447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23\/6 of a hour?\nAnswer: 230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 230, -1\/6, 4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + s - 5, 0 = 5*o - 5*s + 25. What is the units digit of (-3 + o)*(-12)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114363746, 457454977, 1029273696, 1829819903, 2859093598?\nAnswer: 4117094781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 619*y**7\/7 + 2*y**3 + 24*y - 2214. Find the third derivative of i(x) wrt x.\nAnswer: 74280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - -16. What is the remainder when l is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23499, 24592, 25685, 26778, 27871, 28964?\nAnswer: 30057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -251 - -251.3. Which is the nearest to 0.5? (a) 0.05 (b) d (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a2927 (base 12) in base 13?\nAnswer: -75739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2494 times -0.3?\nAnswer: -748.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.34359561 to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*g**3\/g)**(20\/7)\/(g**(-1\/15)\/g**4))**(6\/13) assuming g is positive.\nAnswer: g**(3854\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 12 - 36 = 0. Let l(v) = -v**3 - 7*v**2 + 8*v + 10. What is the units digit of l(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 10}. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1187 = 3*v - 2*y - 2*y, -5*v + y + 1950 = 0. List the prime factors of v.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 56818 - -978?\nAnswer: 57796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 267 + -4001\/15. Let c(n) be the third derivative of 2\/3*n**3 - 1\/12*n**6 - n**2 + 0 - v*n**5 + 0*n - 1\/12*n**4. Factor c(w).\nAnswer: -2*(w + 1)**2*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 625593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -245525 - -4?\nAnswer: -245521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.401674 milliseconds to nanoseconds.\nAnswer: 401674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -3\/308, 3.4, 1, -8?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 + 5 - o + 3*o**2 + 2*o + o**2 - o**3. Let b be q(6). Suppose -7 = -j + b. Calculate the greatest common factor of j and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 5:09 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42 + -3?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-42)\/8 + (-8)\/(-32). Sort u, 5, 4 in decreasing order.\nAnswer: 5, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78 + 56. Let x = 22.0013 + u. What is x rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*5*978\/23635.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9245.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29989918967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 9*b**2 + 26*b - 9. Let m be l(11). Let q = 137\/4 - m. Let a = 0 + -1. Put -2\/7, -1\/8, q, a in ascending order.\nAnswer: a, q, -2\/7, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 17. Let t = -1866 + 1881. What is the nearest to t in -1\/5, -4, d?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(80) - (sqrt(80) + 1*(2 + sqrt(80)) + sqrt(80) - sqrt(80))**2).\nAnswer: -1620 - 140*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) 0.4 (b) -4 (c) -86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -0.1663968053.\nAnswer: 0.0336031947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00025353 rounded to 5 decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/33)\/(-18 - 364\/(-21)). Which is the nearest to 0? (a) 1\/11 (b) -2\/9 (c) -2 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -7*n**2 - 7*n - 7. Let c(h) = -8*h**2 - 8*h - 8. Let l be 12 + 2*(-9)\/3. Give l*i(m) - 5*c(m).\nAnswer: -2*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 78?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7*x - 20. What is m(-16)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-1 + -5)) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbabjbbbjbbbbbsbbbb. Give prob of sequence bas.\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -773304, -773293, -773282, -773271, -773260, -773249?\nAnswer: -773238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 - 80. Suppose -3*d - x = -9. Solve 3*z = d*i - 5*i, -10 = -4*z + i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 20*u. Let o be w(-1). Is o equal to -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c + 6. Let i(j) = -11*j + 12. Let s(b) = 4*i(b) - 9*v(b). What is s(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 12:24 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.491 and 0.03.\nAnswer: -4.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8\/t**(-6))\/(t*t**1*t)**(-43) assuming t is positive.\nAnswer: t**143","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 54*t + 4 = -51*t, -t = 4*d + 2*d - 13 - 15 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-6)*28\/(-98)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-4)\/16*-2. What is the remainder when 34 is divided by 1 + (-2)\/r - -9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 1965.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(88)*-2)\/(sqrt(8) - 6*sqrt(40)\/sqrt(5)).\nAnswer: 4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2524977 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58139*f - 116041*f + 57907*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 85.12 times -2781\nAnswer: -236718.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20147976 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -561290 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 56\/12 - 1\/(-3). Let c(u) = 2 - 1 - 2*u + 4*u**3 - u**3 + 0*u**2 + 2*u**2. Let p be c(1). Which is bigger: v or p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z - 221. Let w(v) = 3*v + 227. Determine -5*l(o) - 4*w(o).\nAnswer: 3*o + 197","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540)\/sqrt(144) - (sqrt(540) - (sqrt(540) + sqrt(540) + (-3*sqrt(540) - sqrt(540))) - sqrt(540) - sqrt(540)))\/(3*1*sqrt(588)*-1))**2.\nAnswer: 605\/7056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 531581549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, m: 3, o: 1}. What is prob of picking 1 o and 1 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**2 + 1 + 3301*g - 2*g**3 - 3303*g + 10*g**2 - 5*g**4 in the form r*g**2 + s*g + a*g**4 + f + u*g**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1541, 1539, 1537, 1535, 1533?\nAnswer: 1531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1584124.976 rounded to the nearest 10000?\nAnswer: 1580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/5 of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -456, -833, -1208, -1581, -1952?\n\"Answer: q**2 - 380*q - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5 = 0, -2*d - 5*g - 22 + 1033 = 0. What is the smallest common multiple of 2 and d?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azvz. Give prob of sequence vzz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 5:09 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 7039.7?\nAnswer: 7039.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.016 + -0.416. Sort 5, d, 0.05 in decreasing order.\nAnswer: 5, 0.05, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1650\/81337 - 4\/499. Which is greater: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, y: 1, m: 2}. Give prob of sequence mmy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95 + 215. Suppose l = -3*l + z. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 712, 1337, 1962?\n\"Answer: 625*f + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(3*sqrt(12)))\/(sqrt(4)*1*-1).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.4680021 rounded to two decimal places?\nAnswer: -23.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.143 rounded to 0 dps?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 170390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4996*j**2 - 4996*j**2 + 143*j**4 - 6*j**3 + (-2 + 6 - 2)*(0*j + 0*j + 2*j**4).\nAnswer: 147*j**4 - 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -19299 and -16995 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (-17 - -6) - 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 14*o - 16*o - 17, -3*t = -4*o - 47 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2.932 times 170839\nAnswer: -500899.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89513 by -607.\nAnswer: 89513\/607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12316.5 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a factor of 76617857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13527*x**3 - 16370*x wrt x.\nAnswer: -81162*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 12*k - 15. Let a be y(-11). Is a\/(-4) + 13 + 2 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*h**2 + 1 + 11*h**2 to f*h**2 + k + t*h and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 7:17 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*s**2 - 3*s**2 + s**2)*(-12 + 0 - 13).\nAnswer: -175*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213 - 10303?\nAnswer: -10030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + -1. Suppose -15 = -16*j + 209. What are the prime factors of 72\/j*(-35)\/x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -120 + 135. Sort v, 0.4, 0.3, -0.3 in descending order.\nAnswer: v, 0.4, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((1\/11)\/(4\/(-4)))\/(52\/(-104)). Determine p, given that -2\/11*p + c*p**3 + 6\/11*p**2 - 6\/11 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 3*m + 11, 1186*m - 12 = -4*p + 1190*m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36, 53, 68, 81, 92, 101?\n\"Answer: -w**2 + 20*w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/4)\/(-2)*27. Let b = 62 - q. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*l + 1 - 117, 10 = -5*t. Suppose -11*n + l = -10*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25899643 is divided by 1791.\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.11 (b) -15749 (c) -1\/4 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + n = 4*p - 15, -5*p - 2*n = 0. Let q(t) be the first derivative of -1\/2*t**p + 0*t - 1\/4*t**4 - 2 + 2\/3*t**3. Factor q(s).\nAnswer: -s*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 m when four letters picked without replacement from dmddmmpppdppmppmdmm.\nAnswer: 147\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/3 - 287818*x\/3 - 20709800281\/3.\nAnswer: -(x + 143909)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.132 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**4\/12 - b**3\/6 - b**2\/2 + 7*b. Let v(u) = -3*u**2 + 2*u + 2. Calculate -2*k(q) - v(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**3 + 0*q**3 + q**3 + q**3 + 3*q**3 - 3*q**3 + (6*q - 2*q - 2*q)*(4*q**2 - 2*q**2 + 0*q**2) + (5*q - 4*q - 10*q)*(2 - 2 - 2)*(-3*q - 2*q**2 + 3*q).\nAnswer: -33*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 889 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-527)\/7 - 4\/(-14). Suppose 160*v = 14984 - 2984. Let w = v + t. Let z(m) = m**2 - m - 8. What is z(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/20)\/(6\/(-20)). Let l(k) = 3*k**2 - 1 - v*k**2 - 2*k + 6*k**2. Is l(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68315\/6 + -102524\/9. What is the common denominator of (-58)\/18 - (-2)\/8 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -213, 1, 3 in ascending order.\nAnswer: -213, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 713*m = -1392*m + 8420 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 - -0.19. Let x be 2\/(-96)*-6*(-40)\/6. Sort x, 5, d, -3 in descending order.\nAnswer: 5, d, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 16, a + 1718 = 2*r + 432. What are the prime factors of r?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 859 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4582118 is divided by 132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6498?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8283958 milligrams to tonnes.\nAnswer: 0.0000000008283958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1766 + 210 = -2*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2744981.1ns?\nAnswer: 0.000045749685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 4*t - 149 + 29. Solve 19*r + t = 30 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 - (-12 - (3 + -6) - (0 + -14))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1655 (base 10) to base 3\nAnswer: -2021022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 74*b**2 + 146*b - 130. Let w be c(72). Solve 4*p + 19*v = w*v - 21, -5*p + 4*v = 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 32 = -7*w + 5, -5*y - w = -175 for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**2 + 173*q + 2440. What are the prime factors of j(-13)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 26*s**3 - 6*s**2 - 3. Let g be w(-3). Let x = 1079 + g. Is x a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8350431 divided by -1?\nAnswer: -8350431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 9. Let v = a - -10. Let b = -9 + v. Which is greater: b or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -107*r - 65*r - 68*r + 69*r to the form c + u*r and give u.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 81870189 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(1 + (-15)\/9). Suppose 0*x + 763 = 3*x + 2*l, l = w*x - 504. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 430008228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 910659?\nAnswer: 3, 303553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**8\/336 - t**7\/210 + t**6\/60 + t**5\/30 - t**4\/24 - t**3\/6 - 55*t**2. Find y such that i(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9695, 9708, 9743, 9812, 9927, 10100, 10343?\nAnswer: 10668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*c = 0. Let w be (-9)\/((-18)\/(-40)) + c. Let t = -10 - w. Solve t = p + q - 3*q, 5*p - 8 = -4*q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 27 + 2 + -31.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 1. Let x(l) be the third derivative of -l**6\/120 + l**4\/24 - l**3\/6 - 16*l**2 + 6. Determine 3*m(j) + x(j).\nAnswer: -j**3 - 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 44. Let v = l + -38. Which is the closest to 0? (a) -2 (b) -2\/19 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 44380 - -5?\nAnswer: 44385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -11.023?\nAnswer: -3.3069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + t + 10 = 0, -4*n + 44*t - 12 = 50*t. Let c = -5 - -3. Let u be ((-6)\/15)\/(c\/10). Solve -u*q = -n*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqlml. Give prob of picking 1 l and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16451960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -10*r + 2. Calculate the least common multiple of 15 and d(-1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2360, -5, -4, 0 in ascending order.\nAnswer: -2360, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (12 - 5) - ((-15 - 26) + 13).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**5*h\/(h\/((h**(-5)*h)\/h)))**(-4\/23)*((h**(-1)*h)**(-48))**(-6) assuming h is positive.\nAnswer: h**(36\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.2, -7, 67, 2\/525, -0.09 in ascending order.\nAnswer: -7, -0.09, 2\/525, 0.2, 2, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, i: 3, k: 3, q: 1, f: 3, l: 2}. Give prob of sequence kqfl.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 273.88 rounded to the nearest ten?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 333*f**3 - 3*f**2 - 95*f wrt f?\nAnswer: 1998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 96, -1, 7 in increasing order.\nAnswer: -5, -2, -1, 7, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/(90\/(-24)) + 15497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 16*b**2 + 3*b - 3. Let r(z) = 2*z**3 + 30*z**2 + 6*z - 5. Let a(u) = -11*c(u) + 6*r(u). Calculate a(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -431 + 433. Which is the nearest to 2? (a) -4 (b) -4\/7 (c) p (d) -13\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6700 + 7730. Is a a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(3624\/908 - 4). Let x be -7 + -345 + 2*(1 + -2). Let s = n - x. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*j + 16, 208*j + 26 = 207*j + 4*x. Sort -5, j, 1, 16, 6.\nAnswer: -5, j, 1, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -2*c**2 + 17*c + 17. Let r = 175 - 125. Calculate the remainder when r is divided by k(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -225*i**3\/2 + 1380*i**2 - 362*i + 24.\nAnswer: -(i - 12)*(15*i - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19795 + 28703?\nAnswer: 8908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279403468?\nAnswer: 2, 59, 1183913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 - (-2 + (3 - 4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, 3, 12, -2\/9, 0.4 in ascending order.\nAnswer: -2\/9, -2\/19, 0.4, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 249 - 108. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 158.\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/5)\/((-6)\/15). Suppose -t = -3, -1 = -o*x + 3*t - 4. Let c = 2 + x. Calculate the remainder when 14 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(2)*2*-4 + -1)**2*5 + (sqrt(12)\/(4*sqrt(216)))**2 + -3).\nAnswer: 240*sqrt(2) + 184897\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 1.17.\nAnswer: 1.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ounuooonoouuuuoon. What is prob of picking 1 o and 1 u?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 5*k**2 + 4*k + 6. Suppose 3*c = 4*g + 2, 0 = -2*c + g + g. Let v be 0\/c - (4 + 0). Determine s(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*(-2*(-2 + sqrt(1700)) + sqrt(1700) + sqrt(1700) + -4*sqrt(1700)*-1 + sqrt(1700) + sqrt(1700)))**2.\nAnswer: 1920*sqrt(17) + 244859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7756526067 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d + 1\/20*d**5 + 27\/2*d**2 + 0*d**4 + 0 - 1\/6*d**3. What is w(0)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1823, 3661, 5507, 7367, 9247?\n\"Answer: k**3 - 2*k**2 + 1837*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 5*p - 14, 0 = -4*z - 2*p + 27 + 1. Let j be z\/12 - 1\/15*22. Which is the second biggest value? (a) j (b) -7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 3 + 14 + 10 + -22 - -15.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3345 and 21796689.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.3 - 1007.\nAnswer: -1018.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -364300 to the nearest ten thousand.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*y + 13 = 0, -y + 2*y - 1 = 0. Let x = 8 + v. Let h be (-23)\/(-1) - x\/(-1). Solve -5*b = -2*q + h, 6*q + 2*b = q - 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4544 and 645497?\nAnswer: 645496.5456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/19))**(-17\/2)\/((w\/w**(2\/11)*w)\/(w\/w**(-2\/15))))**(-18))**(-36) assuming w is positive.\nAnswer: w**(142128\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248*p - h - 22072 = 246*p, -3*h + 55158 = 5*p. What are the prime factors of p?\nAnswer: 2, 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 0*t = 6*t - 5*u - 50, 0 = 2*t + 2*u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196234 = 9937*h - 201246 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 3968208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 6*q - 7. Suppose k = 3*h - 5, 5*h - 44 = -4*k + h. Let g be z(k). Let u(l) = -2*l + 0 + g. Let f(d) = 4*d. Give f(u(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 + -4 + (-2 - -8) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**3 + 2 - 3*t**2 - 28*t - 6*t**3 + 32*t. What is the tens digit of w(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 576 divided by -144\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/4, 0.1, 2\/5, -0.8, -8?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2262339 times -0.181?\nAnswer: -409483.359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189770 divided by -5.\nAnswer: 37954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -73, 59106, -4 in descending order.\nAnswer: 59106, 3, 2, -4, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3200) - 3*(sqrt(3200) + sqrt(3200)*1) - sqrt(3200))\/((sqrt(500)\/sqrt(250))\/sqrt(5)).\nAnswer: -240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40\/7 - 38\/7. Let j = -4\/27 + -14\/27. Sort u, j, 2, 4.\nAnswer: j, u, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 11. Suppose 17 = 2*s + 1. Suppose s*b - 42 = b. Solve -a - b + x = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 255 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8879327*b - 12819140 wrt b.\nAnswer: -8879327","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 5, -5, 3 in ascending order.\nAnswer: -17, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -41*l**3 - 2*l**2 - 2*l + 7. Let k(x) = -80*x**3 - 5*x**2 - 5*x + 15. Let h(y) = -2*k(y) + 5*r(y). Differentiate h(v) with respect to v.\nAnswer: -135*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14722*x + 14598*x + 12606 = 29129*x for x.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2 + 2 + 7 + -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 556 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**2 + 3*h**2 + 4*h**2 - 4*h**2 - 11*h + 16. Let v be l(-11). Let b = v + -10. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382785 is divided by 845.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*j + 9. Is (8 + -1)\/(j\/25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + -11012120001?\nAnswer: -11012120021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 2:40 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + d + 1. Let b(r) = -4*r**2 + 2*r + 3. Let w(i) = -2*i + 4. Let o be w(3). Let y(v) = o*h(v) + b(v). Determine y(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (12 - (15 + 2 + (8 - 5) + -6))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(1\/35)\/b)\/b**14)**(-22))**(4\/31) assuming b is positive.\nAnswer: b**(46112\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -9 + 1 + 0*j**2 - j**3 + 5*j**2 + 6*j. Let t = -83 - -89. Give r(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -128*d. Let h(c) = -58*c. Calculate h(n(j)).\nAnswer: 7424*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**8\/840 - u**7\/175 + 2*u**5\/75 - 26*u**2. What is x in c(x) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337*c + 332*c + 13410000 = 0. Round c to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-170)\/(-119))\/(1\/42). Let q = 12 + s. What is the remainder when q is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -20.6, -4, 48\/41, -2\/9?\nAnswer: -20.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 2*o + 36 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a + 5. Let x(p) = -13. Let o(d) = 15. Let h(l) = 6*o(l) + 7*x(l). Suppose 0 = -14*v + 20*v - 30. Give v*h(w) + y(w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32 - 5*h**4 - 8*h**5 + 3*h**4 - 2*h**3 - 31 - h**5 + 8*h**5 - 2*h**5 + (-2*h**4 - 1 + 1)*(-1 + 1 + h).\nAnswer: -5*h**5 - 2*h**4 - 2*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 13*p**2 + 12*p + 1. Let x be y(12). Let a be 32 - (4 + (-2)\/x). What is the highest common divisor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 141 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*p - 1. Put 1, p, 2 in ascending order.\nAnswer: p, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -11*g - g + g**2 + 6*g + 6*g. Let w(b) = 19*b - 2. Let s(c) = -19*c + 3. Let y(z) = -2*s(z) - 3*w(z). Give h(y(n)).\nAnswer: 361*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 291 - 297. Let f be (-328)\/205*(r\/(-8))\/3. Which is the fourth biggest value? (a) 3 (b) f (c) -2 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 8\/9, -0.096, 11?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 73 - 56 = 0. Suppose 3*c + 0*w - 2*w = 108, 3*w = c - z. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-6*-1*sqrt(1100) + 3 + ((sqrt(1100)*-3 - sqrt(1100))*3 - 5*sqrt(1100)*1))**2*3.\nAnswer: 2340*sqrt(11) + 557727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 + z**4 - 2*z**4 + (0*z**3 - 7*z**3 - z**3)*(-z + 2*z + 0*z).\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20.4, -4, -132\/5.\nAnswer: -132\/5, -4, 20.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 11*m**2 - 26*m + 6. Calculate the remainder when c(-13) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -2\/7, 3, -5\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -28. Let z(v) = v + 6. Let b be z(-3). What is the second biggest value in p, b, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000102756861 to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -740 bigger than -96838\/131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*10 - (9 - 6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 1:59 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/13, 0.28, -2\/4877, -2?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -12*a. Let z(o) = -22408*o. What is z(y(c))?\nAnswer: 268896*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418337?\nAnswer: 418337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*f + 108*f - 28*f - 32*f + 14*f**2 - 11*f.\nAnswer: 14*f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 103 - 98. Suppose -c + 21 = 4*f. Suppose f*v + 128 = 2*s, 5*s - v = 34 + 304. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = 3*s - 37338, 118*s - 122*s + 49734 = -2*t. What are the prime factors of s?\nAnswer: 2, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -24 - (15\/9 - 1\/(-3))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23722514 is divided by 11861255?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + -293. Let z = -349 - v. Let w(h) = h - 7. What is w(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 - 33. Solve -p*u = 4*d - 6, -d + 2*u + 2 = 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000304413 rounded to six dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -5\/9*v**3 + 1\/6*v**4 + 0 + 2\/3*v**2 + v. Factor i(l).\nAnswer: 2*(l - 1)*(3*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + -15 + 14\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 92*k + 30. Let o be w(-2). Let x = o + 222. What is the remainder when 199 is divided by x?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 764570.6l in millilitres?\nAnswer: 764570600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u - 3*u + 0*u + 2*u. Let d(z) = -4*z**2 + 18*z. Calculate 36*c(o) - 2*d(o).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -260728.8 rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 605.4321 kilometers in millimeters?\nAnswer: 605432100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzzffhkzkhz. Give prob of picking 2 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39772 is divided by 18569.\nAnswer: 2634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 133, 0.07, 2\/7, -1\/9, 5\/2 in ascending order.\nAnswer: -1\/9, 0.07, 1\/5, 2\/7, 5\/2, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3423446 is divided by 5668?\nAnswer: 5642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 0)*(-1 + 2 - 2)*(3*o - 3*o + 3*o + (0 - 2 + 1)*(-4*o - o + 3*o)).\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 8816*k**2 - 9*k - 21. Let i(j) = 13*j. Let y be i(-1). Let p be o(y). Round p to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -25. Let j be 1 - t*4\/8. Solve -5*l = -j*l - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -21. Suppose o - 36 = -a*o. What is the third derivative of -o*l**2 - 4*l**4 + 9*l**2 + 11*l**4 wrt l?\nAnswer: 168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 17956*u**4 + 2295688*u**3 - 399488*u**2 - 7183872*u + 5308416 = 0. Calculate u.\nAnswer: -128, -2, 72\/67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -36*r - 2. Suppose 20 = 27*s - 56*s + 34*s. Let k(u) = u - 1. Calculate s*k(o) - y(o).\nAnswer: 40*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2016090 divided by 195?\nAnswer: 134406\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 633 + -1077. Let s = 592951.670191 - 593395.67. Let n = h - s. Round n to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vj when two letters picked without replacement from {l: 3, j: 1, s: 4, v: 2, e: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/124765 and 17\/91802087.\nAnswer: 459010435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*u - 7, p - u = -2. Let y = -283\/406 + 14\/29. Which is smaller: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1104321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13273623 and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, y: 1}. What is prob of picking 3 l and 1 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 18*g - 6. What is the tens digit of z(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 357 by 20.\nAnswer: 357\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -709*q + 676*q + 17754. Solve 0 = 6*s - q + 550 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -128.9 + 122. Let h = f + 7. What is the third smallest value in h, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u - 13. Let d(l) = -3*l + 39. Let i(a) = -d(a) - 3*o(a). Let q(w) = 3*w**2 + 12. What is i(q(p))?\nAnswer: 27*p**2 + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8151 and 9679683.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -12*q - 1. Let d = 16 - 8. Let x = d - 14. Let a = -7 - x. Determine t(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -216 + 258. Solve p = -6*j + 54 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 85*l. Let v(d) be the second derivative of 69 - d + 0*d**2 + 1\/6*d**3. What is v(h(t))?\nAnswer: 85*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u**2 + 0*u**2 - 4*u**2)*(1 + 1 - 4)*(0*u**2 + 15*u**2 - 11*u**2) to r*u**4 + j + l*u + v*u**2 + d*u**3 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165141 is divided by 843?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -120 + 241\/2. Let q(d) be the first derivative of 1\/4*d**4 - 2*d + 7 + a*d**2 + 2*d**3. Determine q(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-3 - (1 + 3 + -4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(308\/7))\/(4*1\/(-12)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 14*k = -12*k - 367, -3*k = s + 352. Is s equal to -364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.31 + 0.09. Put j, -0.1, -0.5 in descending order.\nAnswer: j, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 29 + 19. Let r be (5\/((-100)\/n))\/((-2)\/10). Let o(f) = -f**2 - f. Let y be o(-1). Sort -2, y, r in descending order.\nAnswer: r, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 0 - 12 = 0. Let i(k) = -9*k**2 + 29*k**q + 9*k + 17 - 19*k**2. Let r be i(-6). What is the closest to r in 1\/9, -1, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/28*36\/810*18.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1554002146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 127, 131, 139, 151, 167, 187, 211?\n\"Answer: 2*b**2 - 2*b + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, -3\/4, -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2869 + 2869. Let y be -1 + (2 - 2) + -3. Which is the second smallest value? (a) y (b) q (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vfzhrvfk. Give prob of picking 1 h, 1 r, 1 z, and 1 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -5*t + 10, -5*t + 2*t - 12 = -3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -9 in decreasing order.\nAnswer: -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -61, -116, -225, -406?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of w**2\/2 - w - 18. Give d(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -11 - 2*x**2 + 2*x**2 - x + 10*x**2 + 2*x**3. Does 25 divide s(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23535 + 128?\nAnswer: 23664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 763 <= 2541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**3 - 7*z**2 + 12*z - 16. Let f be c(7). Suppose f = 5*d - r - 0*r, -2*d - 2*r + 292 = 0. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445302436?\nAnswer: 2, 1153, 96553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 3 - 3)*(-11 - 6 - 6)*(-17*z**2 - 4*z - 5*z + 104*z**2 + 140*z**2) to p*z + a + m*z**2 + t*z**3 and give t.\nAnswer: -10442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - 288\/(-20))\/((-4)\/(-10)). Find the second derivative of n*i**2 - 154*i**3 + 25*i**2 + 74*i**3 + 78*i**3 - 31*i wrt i.\nAnswer: -12*i + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -10, 23\/604, -5?\nAnswer: 23\/604","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -0.5. Let x = 0.05 + 1.95. What is the closest to x in 2, o, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 829 + 826 + 15*v**2 + 877 - 2532 + 29*v**2.\nAnswer: 44*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.43 + 12. Let t = -1474115 - -1474114.5699982. Let x = s - t. Round x to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wwwjmwmm?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -k + 10. Let q be (-4)\/(-8)*k - -2. Suppose 73*f - 76*f = -q. What is the least common multiple of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a + 30. Let i be q(-10). Suppose i*k + 174 = 2*o + 2*k, -5*k - 425 = -5*o. Calculate the greatest common divisor of o and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3129*f**2 + 5169*f - 75. Let s(b) = 3129*b**2 + 5170*b - 60. Let u(c) = 5*s(c) - 4*x(c). Find the second derivative of u(a) wrt a.\nAnswer: 6258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30139839757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -575217*p + 575217*p + 637*p**2.\nAnswer: 637*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 0.572?\nAnswer: -1.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 484*t - 480*t + 5, i = 4*t + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5092419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 889 = 157*j - 156*j. Calculate the highest common divisor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n**3 - 10*n**3 - 6*n**3 - 6*n**3 + 32*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.350995.\nAnswer: -0.140398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 16. Let j(s) = s - 16. Let t be j(u). Let n be t*(9\/(-60) - 2\/8). Solve 3*p - 4 - n = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 12\/5 (c) 130 (d) -3 (e) -99\/14 (f) 0.5 (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 252*g - 30 - 2*g**2 - 245*g to the form s*g + k + b*g**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/24*16\/(-18). What is the nearest to h in 1, 1\/4, -2\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 x, and 1 h when three letters picked without replacement from hnxhhnn.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 91568 a multiple of 371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3772\/(-115) + 2\/(-10). Is -33 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 8*s + 71. Which is the second smallest value? (a) 0.1 (b) -0.196 (c) s (d) 0.2 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 15*j - 5. Let g be l(6). Let y = g + -30. Suppose -y = -3*x - 7. Solve -3*t = x*z + 17, 3*t - 5*z = 7*t + 21 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23465575?\nAnswer: 5, 7, 134089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83\/45 - 13\/9. Let g = 1.793 + -1.593. What is the nearest to u in -0.06, -3\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z**3 + 5*z**3 - 3*z**3)*(-7*z - 181 + 181) - z**4 - 4*z + 3*z**4 - 4*z**4 in the form r + a*z + c*z**4 + p*z**2 + t*z**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18530 or 18537?\nAnswer: 18530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9524?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 36 + 0 + 3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/6)\/(21\/36). Let m be 3*1\/9*360\/240. Which is the nearest to m? (a) i (b) 5 (c) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 2*t**3\/9 + 17*t**2\/6 + 8*t\/3 + 75. Factor c(d).\nAnswer: (d + 8)*(2*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjabjhaqb. Give prob of picking 2 a and 1 h.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**2 - 3*s - 4. Let f be t(-2). Suppose 0 = 3*z + 2*d + 22, -2*z - 2*d = 15 + 3. Suppose 2*v + 2 + 8 = 0. Put f, z, v in descending order.\nAnswer: z, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q. Let r(t) = -9*t**2 + 6*t - 2. Let b(a) = 17*a**2 - 11*a + 5. Let k(u) = -6*b(u) - 11*r(u). Calculate m(k(x)).\nAnswer: 6*x**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 11:04 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781 is divided by 166.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43210.\nAnswer: 2, 5, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3)*x**2*(x*x\/(x*x**(-1\/4))*x*x)**32 assuming x is positive.\nAnswer: x**103","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -5*b**4\/24 + 2*b**3 - 4*b**2. Find the first derivative of s(t) wrt t.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(200) + (sqrt(200) + 0)*3 + 1)*-1)**2.\nAnswer: 320*sqrt(2) + 3216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/2 of a decade?\nAnswer: 1620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -116 - -82. Let p = j + 37. Let b = -4\/3 - -29\/24. What is the nearest to b in p, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 400 and 1100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3029 divided by -3029?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160413918 divided by 8.\nAnswer: 80206959\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1312815?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*i = -3*i + 3, -21 = -4*c + i. Let b(u) = 4*u + 4. Is 14 a factor of b(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -80\/21 and 5\/(7875\/2208) + (-162)\/378.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6129 + 2276*o - 6117 + 18377 - 6131.\nAnswer: 2276*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -15.09. Let f = 142 + -142.91. Let r = v - f. Which is the smallest value? (a) -5 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/54*45\/(-30)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 563439 and 4545972?\nAnswer: 1923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + (-7508)\/(-6) + 4\/6. What is the greatest common divisor of w and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 388 - 384. Suppose -4*g - g + 15 = -2*m, -g + 3 = -j*m. Which is greater: m or -8\/79?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (3 - -13) + -1. Let x = 27 - f. Let l(z) = z**2 - 7*z - 2. What is the least common multiple of l(x) and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 1. Let v be (-3*8\/(-28))\/(4\/(-7)). Let g = v + 3\/4. What is the smallest value in -2, g, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-6)\/(-45) - (-5148)\/1890?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -14. Suppose 5*b = -r*k + 92, 5*k = -b + 12 + 19. Suppose 4*o = 4*m + 6*o - 190, 110 = 3*m - 5*o. What is the remainder when m is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15 (b) 22 (c) -1.9 (d) -48 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*d = 173*d + 244*d - 3208 - 22000 for d.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -122 - -134. What is the smallest common multiple of i and 228?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, a: 6}. Give prob of picking 2 i.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 3*h + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 5\/14, -1, -0.03 in increasing order.\nAnswer: -1, -0.03, 5\/14, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 0*k**5 + 8\/15*k**6 + 5\/3*k**4 + 0*k**2 + 0 + 7*k + 0*k**3. What is the third derivative of x(p) wrt p?\nAnswer: 384*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6364 and 2516?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (440\/350)\/(-11))\/((-12)\/14)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 - 7*s + 4)*(19*s - 35*s - 8*s).\nAnswer: 168*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*10\/(-42)*6\/(-15)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 2. Let i be p(1). Suppose 0 = 2*b - i*x - x, -2*x + 10 = b. Solve -9 = -t - b*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**2 + 3479*d - 997525. Calculate p(519).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -133*n + 186*n + 152*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002818 to 7 decimal places.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in 1\/2, 4, -7\/3, 1\/11?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 8*f**2 + 21*f. Let n be y(10). Let v(r) = -r + 13. Let t be v(n). Let d be (24\/(-15))\/((-4)\/10). Put -3\/5, d, t in ascending order.\nAnswer: -3\/5, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**3\/3 - 1459*r**2 + 266281*r\/3 + 90219 = 0.\nAnswer: -4437, -1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.357853 to two dps.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 34508.\nAnswer: 241556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = -95*s + 31*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 5. Let k be l(6). Let m(h) = -3*h**3 + h**2. Let o be m(k). What is the tens digit of ((-102)\/15)\/(o\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74646794 divided by -5\nAnswer: -74646794\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 5\/2, 0.2, 0.3, 2\/9, 0.5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -233*z + 645. What is the thousands digit of i(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62576678?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1611351?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 7) to base 13\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*y + 64 = 314*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thhkkkkkhthkkk. Give prob of sequence hh.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (10 - 8)) + 396\/55.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 c when three letters picked without replacement from {w: 1, c: 2, v: 1, e: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*n - 14 = 0. Let w be (-21)\/n*(-20)\/(-6). Factor -10*s**4 + 9*s**4 - 2*s**w + 3*s**4.\nAnswer: -2*s**4*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*v = 10*v - 17, 5*v - 9 = -a. Let r(j) be the third derivative of 0*j - 2*j**2 - 1\/3*j**3 - 1\/6*j**a + 0. Give r(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - ((-11 - -9 - 0) + -1 + 7 - 8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 80 - 94 = 0. Let t = k - 59\/2. Let y = -4.91 - 0.09. Which is the closest to t? (a) y (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 2. Suppose x + 10 = u*x. Let q = -5.056 + 0.056. Sort q, x, -0.1.\nAnswer: q, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 + 26*g + 62. Let u be b(-3). Solve -17*j = -u*j - 36 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*l - 10, 3*p = 4*p - 4. Let t(m) = m**3 - 4*m**2 - 6*m + 1. Let z be t(5). Let o = l + z. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2)**(-8)\/(z*z*(z\/z**8)\/z*z*z**(1\/7)\/z) assuming z is positive.\nAnswer: z**(-71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from {j: 1, k: 1, a: 12}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 9*b + 50. Let r be u(-6). Let z be r + 3 + -2 - -8. Suppose -z*k = 5*w - 1315, -7*w - 4*k = -10*w + 761. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**6\/360 + 19*l**3\/3 + 6. Let q(h) be the third derivative of t(h). Let i(k) = -3*k - 2*k - 2*k. Calculate q(i(n)).\nAnswer: 49*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 100\/(-7) + 2\/7. Is (-312)\/16*y\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-4)*9\/(81\/132). Let h = y + -18. Suppose -h*u = -2*w - 156 - 14, 2*w - 110 = -3*u. Solve 2*v + 3*v + u = 5*g, 4*g + 8 = -4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -133, -197, -259, -319, -377?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -92*d**3 + 8*d**2 + 11*d + 8. Let b(v) = 31*v**3 - 3*v**2 - 4*v - 3. Determine 11*b(m) + 4*x(m).\nAnswer: -27*m**3 - m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42880?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = j + 37, -2*j + 0*h - 5*h = 65. Let q be ((-10)\/j)\/(3\/42). Solve 0 = v - q*d + 14, 5 - 1 = d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23535 + 125?\nAnswer: 23663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18227 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -39. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**4\/12 + 14*a**3\/3 + 98*a**2 - 36*a - 2. Find r such that g(r) = 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 119685*b**5 + 24*b**4 - 35713606*b**2?\nAnswer: 7181100*b**2 + 576*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 21736*u**3 + 418*u - 209. Let d(x) = -418*x**3 - 8*x + 4. Calculate -209*d(t) - 4*l(t).\nAnswer: 418*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)\/(o\/(o\/(o\/((o\/(o*o**(4\/7)\/o))\/o)))))\/((o**(-6\/7)\/o)\/(o*o**7\/o*o*o*o)) assuming o is positive.\nAnswer: o**(51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v**2 - 2382 - 28*v**2 + 15*v**2 - v**3 - 4011.\nAnswer: -v**3 - v**2 - 6393","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 30. Suppose o*p = 30 + 30. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 + 0*v**3 - 3*v + v**3 + 0*v. Let o be s(2). Calculate the highest common factor of o and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 11:03 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*u**4\/2 + 864*u**3 + 10455*u**2\/2 - 37449*u + 4332 = 0 for u.\nAnswer: -19, 2\/17, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 5 + 2 + 2*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*1*sqrt(7200)*-5)\/((-2*sqrt(110)*6)\/((1*sqrt(11) + sqrt(11))*1)).\nAnswer: -3 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 6*z**2 - 6*z - 8. Let a be y(7). Let w be (-3)\/(a\/(8\/(-12))). Put w, 4, -5 in descending order.\nAnswer: 4, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -7. What is the second biggest value in a, 2\/9, 3\/8, 3\/5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p + 6. Let w be n(5). Let u be w\/(-85) + (-6)\/15. What is the closest to -3 in u, -1, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 11. Let g(h) = 2*h - 5 - w*h + 3 + 2*h. Let a be g(-3). Let l(r) = -r**3 - 5*r**2 - 3*r - 2. What is l(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3299862706 to the nearest integer?\nAnswer: 57444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -163 - (-73 + 78 + -100).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x**2 + 8*x + 6. Suppose -5*v + 3*v + 34 = 0. Let p(y) = 20*y**2 - 23*y - 17. Let z(w) = v*q(w) + 6*p(w). Factor z(u).\nAnswer: u*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*f*v + 2*f - 3*v**3 - 331 wrt v?\nAnswer: 11*f - 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5222 - -5217. Let j be (2 - -1 - 0)*1. Which is the second biggest value? (a) -2 (b) j (c) x (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (19\/(-2660)*-50)\/(5*(-4)\/(-140)). Let i*c**4 - 80*c + 105\/2 + 5*c**2 + 20*c**3 = 0. What is c?\nAnswer: -7, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14971771 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205287765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302272.\nAnswer: 2, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 10 = 3*x, 5*t - 925 + 900 = 4*x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19080528 to the power of 1\/2, to the nearest integer?\nAnswer: 4368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -54, -103, -192, -333?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 - (77 + -87) - 142.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-14280)\/(-1445) + (-4)\/(-34)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*f**2*o**2*w + 3*f**2*o*w + 59*f**2 + 48*f*o**2 wrt w.\nAnswer: 18*f**2*o**2 + 3*f**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -6234?\nAnswer: -2493.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111 + 10000?\nAnswer: 110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.510599824696 - 0.2.\nAnswer: -0.710599824696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2468636 is divided by 822878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 16*j - 27. What is the remainder when 144 is divided by z(12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6746 - 6743. Let g = -4.03 - -0.03. Let p = 372 + -1854\/5. Which is the second biggest value? (a) r (b) g (c) p (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 - 7*k**2 + 0*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 724035411 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 - (-6 + 12 - ((-3 - -9) + -7)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**12*h)\/(h\/(h**(-1\/12)*h)))**(2\/7) assuming h is positive.\nAnswer: h**(167\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)*c)**(4\/29)\/(c**14\/((c\/(c*c**(-21)*c))\/c*c)) assuming c is positive.\nAnswer: c**(170\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 7*t**2 + 5*t. Let a = 2 - -13. Calculate the remainder when a is divided by j(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -949025.99568 - -949117. Let v = 77 - 168. Let s = v + j. Round s to four decimal places.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k + 2. Let p(q) be the third derivative of q**4\/24 + q**3\/6 - 39*q**2. Determine 5*p(a) - 3*z(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -y + 15. Suppose -3*z + 2*z = 3*l - 7, -y = 5*l - 2*z. Let b(w) = 87*w. Is b(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2386048429?\nAnswer: 10627, 224527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 19*p**2 + 1. Let r be t(1). Suppose -a + 3*v = 2, -4*a - v - v + r = 0. Let g = 30 + 2. What is the highest common factor of g and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*t + 52. Suppose 0 = -3*m + y + t - 1, 4*m = y + 40. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371 - 299 + 1002 - 5*f.\nAnswer: -5*f + 1074","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 1. Let y(x) = -x + 3. Let j(l) = -11*g(l) + 4*y(l). Let t be j(10). Which is greater: -38 or t?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1846 = -208*i + 916 - 474 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3833655224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 1\/1108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 39 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 229 = 4*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11.47593 milligrams?\nAnswer: 0.00001147593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 599925539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2834?\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005942 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.302503 to 1 dp.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*f + l = -8, -3*l + 2 = -4*f. Let u(a) = -a - 1. Let m be u(f). Suppose 0 = -11*b + 13*b + 10. Sort 3, b, m in descending order.\nAnswer: 3, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -15*w + 28 - 32 + 2 + 1. Let b(x) = -7*x - 1. Calculate -5*b(d) + 2*s(d).\nAnswer: 5*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (504\/(-60))\/((-6)\/220). Suppose -5*j - t = 2*z - 3*z, 3*z - 118 = 2*j. Let f = -26 - j. Is f a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 351246.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -992 - -2378. Is f a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 369866?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15572883173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1787682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-1)*(785\/(-3140))\/((-1)\/4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h\/(h*h**(-7)\/h*h)*h*h**(-2\/7)\/h)\/((h\/h**(-1))\/h)**(-35) assuming h is positive.\nAnswer: h**(313\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 1. Let f be (-4 - -7 - 6) + -2. Let w(r) = 14*r**3 + 5*r + 6. Let p(k) = f*s(k) - w(k). Differentiate p(c) wrt c.\nAnswer: -42*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 92.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.017801 and 7155596?\nAnswer: 7155600.017801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -5. Let b be -3 + (a - 0) + 6. Suppose r = -2, b = g + 3*r + r - 387. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39*q - 71*q - 2 + 10*q)*(10 + 15 + 16) + (1 + 0 + 0)*(-3*q + q + 3*q) + 0*q + 3*q - 2*q to a*q + l and give a.\nAnswer: -4098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/308 and ((-2)\/(-4) + (-195)\/405)\/(28\/870).\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2\/9 - 260*l\/3 - 12992\/9 = 0. Calculate l.\nAnswer: -16, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 0*p**4 + 0*p**5 + p**2 + 0*p + 155 - 7\/6*p**6 + 11*p**3. What is the third derivative of i(m) wrt m?\nAnswer: -420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (222\/6)\/((-1)\/(-5)). Suppose 0 = 5*l + 4*x + 47 - 352, 3*l + 2*x = d. Suppose 3*i - 4*i + 1 = -5*c, 0 = 5*i + 5*c - l. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65113877 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + g = -3. Let h be 2 + (-186)\/((-3)\/g). Suppose 21 = m - 5*c - 11, 2*m - h = -5*c. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**2 + 56. Let p(u) = -u**2 - 2*u - 1. Let k be p(-1). List the prime factors of t(k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 490 and 294?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o. Suppose 3*h + 2*h = 25. Let w be b(h). Suppose 2*y + w*u - 27 = 0, -3*y + 2*u + 42 = y. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91 + -93.1. Let g = q - -1.1. Suppose -73 = -3*p - 4*s, 4*s = 8*s - 4. Sort p, g, 3\/5 in increasing order.\nAnswer: g, 3\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6) - 6\/9. Let r = -177 - -177. Suppose -b + 18 = 4*f - s*f, -5*b - 3*f + 22 = r. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 - 54. Let q be 1 - 18\/(-14) - (-1 - o). What is the closest to q in -2\/7, -0.9, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9207*u**4 + 14950*u**2 + 286472615*u wrt u.\nAnswer: 110484*u**2 + 29900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10348907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, i: 3}. Give prob of sequence isss.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.06 - -6. Let b = t + 0.06. Put -3, b, 1 in decreasing order.\nAnswer: 1, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 - 81 = -12*g. Suppose 6*i - 8 = g. What is the third smallest value in -0.2, -1, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -50404*o**2 - 883895 wrt o?\nAnswer: -100808*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -25*l**2 + 13*l + 9. Let f(x) = -6*x**2 + 3*x + 2. Let d(k) = -9*f(k) + 2*n(k). Give d(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17244 and 4326807?\nAnswer: 1437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**4 + 0*c**4 + 2*c**4 + (-4*c**2 + 7*c**2 - c**2)*(2*c**2 + 0*c**2 - 8*c**2) + (2*c + 3*c - 2*c)*(-2 - 2*c**3 + 2).\nAnswer: -20*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4633, 9287, 13937, 18583, 23225, 27863?\n\"Answer: -2*p**2 + 4660*p - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 44.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrqqqqqllzzqqqqlzqz. Give prob of picking 1 r and 1 l.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/5, 1\/5, 2\/5 in decreasing order.\nAnswer: 2\/5, 1\/5, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyyd when four letters picked without replacement from {d: 2, m: 1, u: 3, y: 5, n: 1}.\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.765704 weeks in nanoseconds?\nAnswer: 5906297779200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61645?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*f - 7. Suppose 0*b = 2*t - 5*b + 32, 5*t - f*b = -50. Let a be 10 - (-2)\/4*t. Put 2, -1, a in decreasing order.\nAnswer: a, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-87*k + 283*k**3 + 20*k - 276*k**3)*(2 + 1 + 0) - 1 + k**2 - k**2 - k**3 to the form s*k**2 + d*k + n + p*k**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 298638894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 466797 and 1555990.\nAnswer: 4667970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50612583381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h**(1\/6)*h*h*h**2\/h)**(-33)*(h**(-4)*h**3)\/((h**(1\/4)*h)\/(h**8*h)) assuming h is positive.\nAnswer: h**(-787\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*i - 40 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005903 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**2\/5 - 333*g\/5 - 662\/5 = 0.\nAnswer: -331, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.53, -3, 2\/17, 2, -10, -0.1 in descending order.\nAnswer: 2, 1.53, 2\/17, -0.1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 568822 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3 + 2271*i**2 + 164406*i - 878555 = 0. What is i?\nAnswer: -73, 5, 2407\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70704, 141410, 212116?\nAnswer: 282822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -517770 divided by -293?\nAnswer: 517770\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 534064200*h**3 + 3*h + 334818319 wrt h.\nAnswer: 3204385200*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from llpzplpllzlpllpllppl.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (348\/(-56) + -2)\/1 and -23\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 431 = -4*b + p, 0 = -b - 2*p + 111. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 580*p + 261*p - 900*p.\nAnswer: -59*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1004 * -0.3.\nAnswer: 0.03012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 1:16 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*2*sqrt(68) + 5)*-4*-4)**2.\nAnswer: -51200*sqrt(17) + 1747200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1955 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29294 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -204 + 78. Let b = n + 126.0101. Round b to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (32 + -14 - 35) + 2 + 43.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13480382*v**6 + 3*v**2 - 1610897*v.\nAnswer: 1617645840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 12 + 2. Suppose -5*c = -3*g + 82, -3*g - g - j*c = -51. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8992 divided by -4496\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j**3 + 6*j**2 + 7*j - 20. What is the smallest common multiple of d(3) and 114?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28798 and 67354.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 35.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 8, 52, 122, 218, 340, 488?\nAnswer: 662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 5*c**4\/8 + c**3\/3 + 3*c**2 + 7. Let l(u) be the second derivative of s(u). What is the first derivative of l(w) wrt w?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 198, 273, 332?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*c**3*r**3 - 12*c**3*r**2 + 111920*c**2*r**3 - 106576*c**2*r + c*r**2 + r wrt r?\nAnswer: -48*c**3 + 671520*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001011011011 - -1?\nAnswer: -1010001011011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*h**3 + 3*h**3 + 80*h**3.\nAnswer: 142*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 <= 144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 2, -5, 1, 3, -792, 9 in ascending order.\nAnswer: -792, -29, -5, 1, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3150)\/560*((-77)\/(-165) - (-8)\/(-12)).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 626, -2 in increasing order.\nAnswer: -2, 0, 626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 6. Suppose h*v = 3 + 1. Is 3 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23262140947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3621850 and 1086555.\nAnswer: 10865550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 212 and 524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1323380.673 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -11, -3, -69.\nAnswer: -69, -11, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 12:17 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30430016971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 130 in 880\/3, -30, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*b = 20, -5*b = -6*g + 2*g + 16. Let q be (g + -9)*-1 + 30. Is 34 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 8*h**2 - 731*h - 768. What is j(92)?\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 + 35. Let f = u - -27. What is the least common multiple of 3 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 406*f**2*m**3 - 5*f**2 + 78*f*m**2 wrt m?\nAnswer: 2436*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2028644 is divided by 2198?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -303799, -303797, -303795?\n\"Answer: 2*y - 303801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 272069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*u = -5*m + 15, 2*u + 30 = -m. Let x be ((-6)\/u)\/((-4)\/(-20)). Solve 3*p - 13 = -w - x, 3*w = p - 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59\/101 greater than 0.44813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + w**2 - 9. Let v(c) = -c**3 - 7*c**2 - c - 3. Let g be v(-7). Let d be f(g). Let s = -51 - d. What is the smallest common multiple of 2 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65 + 71. Suppose 10 = -b*g + 11*g. Solve -g*c + 1 + 12 = -5*u, 5*c - 22 = 2*u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -147cb - 0?\nAnswer: -147cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 37*n - 6. Give i(-3).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, e: 13}. What is prob of picking 2 e and 1 o?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4887*o = -3318*o - 95709 for o.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389*c**3 - 190*c**3 - 39*c**2 + 76*c**2 - 37*c**2 - 206*c**3.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u + 12 = -3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 bigger than -1134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*t**4 - 16\/3*t**2 + 0*t - 4\/3*t**3 + 0.\nAnswer: 2*t**2*(t - 4)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 1, -5, -151, -2 in descending order.\nAnswer: 1, 0, -2, -3, -5, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10 times 0.16\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -15*x + 32. Solve -3*w + 11 = -2*v, v - 5 = w - x*v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -d - 3*a - 34, -4*d + 2*a + 18 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = a - 3*h - 2*h, 5*h + 19 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33072 - 31642478.\nAnswer: -31609406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64 * 2795.\nAnswer: -178880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/598 and 79\/10?\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 13, 1, -31, 5, -2, -1 in decreasing order.\nAnswer: 13, 5, 3, 1, -1, -2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.39323 + -1309239355.\nAnswer: -1309239355.39323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2630999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(-7\/3)\/v))\/v**(1\/3))\/(v**(4\/7)\/v)**(-8\/5))**(2\/129) assuming v is positive.\nAnswer: v**(232\/4515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -457, -456, -455, -454?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7*z**2 - z + 7. Calculate x(-3).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 93 = 4*n - 87, -3*f + 2*n = 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20814 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4439\/25791 or -1?\nAnswer: -4439\/25791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.8 - -38.8. Let s = g + -31.97. What is the second biggest value in 5, s, -2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6*d - 11. Is y(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 1:34 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 403295 to the power of 1\/2, to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -58. Let b = p - 28. Do b and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n - 2. Let y be v(-7). Let r = y + -18. Let p be 0 - 4*-3*2\/(-4). Is p bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27, -36, -43, -48, -51, -52?\n\"Answer: z**2 - 12*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -8) + -2 + -1 - 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24461 - 24294. What is the remainder when y is divided by 35?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/352 and 103\/176.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -67 + -9 + (9 + -5 + 5 - (-2 + 1))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 12*q + 16. Let f(w) = -w**2 + 3*w + 26. Let n be f(5). Let i(k) be the third derivative of -k**4\/24 - k**3\/6 + 2*k**2. Calculate n*i(t) + o(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1601059, 2 in increasing order.\nAnswer: 0.5, 2, 1601059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 87744?\nAnswer: 87744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -9\/2153?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4228*s**4 - 268120*s**3 + 1022500*s**2 + 472120*s - 6432 = 0. Calculate s.\nAnswer: -67, -3\/7, 2\/151, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1*(sqrt(1872)*-1 - sqrt(1872))*5 + -3*(-1 + sqrt(1872) + sqrt(1872) + sqrt(1872) + sqrt(1872))*6)*-1)**2.\nAnswer: -25296*sqrt(13) + 7196257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -2 (c) -25 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4221 - -4216. Which is the nearest to -1\/4? (a) 20 (b) 5 (c) -3 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 1867, 3737, 5609, 7483?\nAnswer: 9359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 2. Let j be o(0). Suppose j*z + 2*s + 31 = 3*z, 100 = 3*z + s. What is the highest common factor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.14 and -0.4?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3. Let a(i) = i. Let n(h) = 2*a(h) - y(h). Let j be n(2). Let c = 6 - j. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88433.59mg in micrograms?\nAnswer: 88433590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -4, 30, 1690, 5 in decreasing order.\nAnswer: 1690, 30, 5, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 8*p**2 + p - 5. Let g be n(8). Let k = g - 3. Find the second derivative of -2*f + k*f**5 + 3*f**5 + f**3 - f**3 wrt f.\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66\/47 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -9*d + 754. Calculate t(20).\nAnswer: 574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-2 + (1 - -3)). Let z be (-5)\/5 + p + 2. Solve a = 5*x - 9, z = a - x - 0*x + 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 224*q + 1585. Calculate a(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -7*n**2 - 6*n + 5. Let t(o) = 20*o**2 + 17*o - 14. Let c = -3 + 20. What is c*i(l) + 6*t(l)?\nAnswer: l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -428 + 337.5. Let r = -83 - o. Let m = -0.5 + r. Sort -3\/7, 5, m in ascending order.\nAnswer: -3\/7, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-1) + -20 + -18. Which is greater: d or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**6\/6 - 113*s**5\/5 - 229*s**4\/4 - 115*s**3\/3 + 1168. Find y such that z(y) = 0.\nAnswer: -1, 0, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/11 + (-10)\/(-55). Let k be (q + -4)*(-6)\/4. Solve 5*s + v + 11 = 0, 4*s = s - 3*v + k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 8. What is z(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 8*c**2 - 6*c. Let t be h(6). Suppose 7*s - 3*s = 4*l + t, -15 = -3*s - l. Is (-3099)\/(-27) + s\/27 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/6 - 52743*g\/2 + 79113.\nAnswer: (g - 158226)*(g - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001268 rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 1566.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 376, 508, 684, 904?\n\"Answer: 22*w**2 + 66*w + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1713 (base 15) to base 12.\nAnswer: 2a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 15*b**2 + 18*b - 15. Is 14 a factor of g(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9264 and 355947198.\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 36 = -18*r. Is -194*(-2 - 20) - r\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -761*o - 25989. Determine q(-34).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1081508 divided by -4.\nAnswer: 270377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 118521080*k + 118521085.\nAnswer: -5*(k - 23704217)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-777)\/(-555))\/(147\/30)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*u - 8 = -0*u, -m + 5*u = 14. Suppose 0 = q + m*h - 2*h - 57, 261 = 5*q - 4*h. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65304 (base 7) in base 12?\nAnswer: 9500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 10. Suppose -b*c + 5 = -p, p - 17 + 6 = -5*c. Suppose g + c - 13 = 0. Calculate the highest common factor of g and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4811*r = 3159*r - 4550*r + 502362 for r.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = w - i, -4*i + 65 = 5*w + 113 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-4)\/q)*q*q\/q**7)**(2\/121))**(-5\/3) assuming q is positive.\nAnswer: q**(-10\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, -0.3393572, 0.2?\nAnswer: -0.3393572","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(42\/(-7)))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*q + 601 + 551 = 36*q. What is the remainder when 728 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1600, 3676, 6226, 9232, 12676?\nAnswer: 16540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3164 + -3137. What is the closest to f in -2, -9, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 5. Let c(z) be the third derivative of -z**5\/60 - z**4\/3 + 5*z**3\/6 + 5*z**2. Let d be c(-9). Let u(f) = 3*f - 14. Determine d*u(y) + 11*k(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 22114\nAnswer: -11057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 142 - 65. Suppose -4*m - 65 = -q. List the prime factors of 2 - (m - (-1 + 258)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**4 + 7784139*i**2 + 20086680*i wrt i.\nAnswer: 12*i**2 + 15568278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2. Let u(o) be the third derivative of o**5\/20 - o**4\/6 - 2*o**3\/3 + o**2. Let b(c) = -c**2 + c + 1. Let h(j) = 4*b(j) + u(j). What is v(h(t))?\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/15 - (2 + -1 + 0). Let c = n + 31. What are the prime factors of c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 442*a - 32586. What is s(73)?\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 124 + -63. Let q = k - 185\/3. Calculate the common denominator of q and -2*(141\/(-6) - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2. Let s(h) be the second derivative of 65*h**3\/2 + h**2 - h + 401. Calculate p(s(n)).\nAnswer: 76050*n**2 + 1560*n + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(13) - (sqrt(13) + (sqrt(26)\/sqrt(2) - sqrt(13)))) + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -2 (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.4 + -2. Let d = u + -0.5. Sort -0.4, d, 0.5.\nAnswer: -0.4, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 - 609*r**2 + 231*r**2 - 214*r**2 - 1 + 0 + 0 - 2*r**3 + (-r + 2*r**2 + r)*(0 + 0 - r) - r**3 + 2*r**3 - 3*r**3.\nAnswer: -9*r**3 - 592*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16922071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1266294?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzzv when four letters picked without replacement from vzvvzvvvvvvvv.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 55\/2. Which is the smallest value? (a) v (b) 3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 621324 and 51777.\nAnswer: 621324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (-1 - 680\/(-3)) + (-100)\/(-75)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p + 100*p**3 - 3*p + 13 + 0*p - 15 to the form t*p**2 + l*p**3 + j*p + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**1*(z\/z**(-3\/4))\/z*(z**(-1\/3))**(22\/3) assuming z is positive.\nAnswer: z**(-25\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 265053 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.17, -45, 9\/58 in ascending order.\nAnswer: -45, -0.17, 9\/58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2766*h**2*k + 579*h**2 + 141811932*k with respect to h.\nAnswer: -5532*h*k + 1158*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 164*l**2 + 22*l + 93. What is the tens digit of u(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 867672 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 + 16*g - 11. Let q be b(7). Suppose -5*v + 10*f - 5*f = 25, -4*v - 2*f = -10. Solve v = n - q*n - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184783139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.42 - -0.02. What is the nearest to a in -5, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/96617 > 8\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, 0.2, 409\/4, 5, -2\/11 in descending order.\nAnswer: 409\/4, 5, 5\/3, 0.2, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 128568819 to the power of 1\/2, to the nearest integer?\nAnswer: 11339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1251563 - -1251604.99993. Let x = w + -42. Round x to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49705?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5038591, -5038594, -5038597?\nAnswer: -5038600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 3*s - 18, -s + 6*s - 8 = 4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h + 45 = 375. Let l(n) = 21*n - 10. What is the remainder when l(6) is divided by h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 8 = j, 3*q + 7 = 5*j - 9. Suppose -w + j*w - 6*w = 0. Factor 3\/5*u**2 + w*u - 3\/5.\nAnswer: 3*(u - 1)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-2) - -14)*3. Suppose 0 = 5*h - 10, -k = -4*x - 5*h + 91. Round x to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, i: 2, t: 8, x: 5, p: 2}. Give prob of sequence pit.\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 87\/15 - (-3)\/15. Let y be -49 + ((-6)\/4)\/((-3)\/s). Let c = y - -47. Which is bigger: c or -1\/92?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - (-11)\/(-5)*2) + 189\/(-315). Put 2, n, 1, -16 in descending order.\nAnswer: 2, 1, n, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 1, -2.07?\nAnswer: -2.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/322?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5 - 29*p**4 - 114*p**3 + 476*p**2 + 304*p - 255 = 0 for p.\nAnswer: -5, -1, 1\/2, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 7*m - 8*m, -p = 3*m - 99. Suppose -2*k + 105 - p = 0. Solve -4*t = -6 - k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.3 - 9.3. Suppose -19 = 2*p - 0*p - 3*i, 15 = 5*p + 5*i. Let k = -4 + 4. What is the fourth biggest value in p, d, -0.2, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 19*q + 85. Let k be r(-7). Does -37 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*r + 3*r. What is the smallest common multiple of r and (-16)\/4 + (0 - -7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2841*g + 2830*g + 16 = -116 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001 (base 11) in base 16?\nAnswer: a67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 6)*(p + 0*p + 0*p) - p - 2*p + p - 7*p + 1 - 1 to o*p + s and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-5))\/(144\/(-60)))\/((-7)\/(-63)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*f**5 + 8581917*f**4 - 15*f**2 + 140085*f - 8?\nAnswer: 1080*f**2 + 205966008*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -4*d - 32 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1929 from 34335821585.\nAnswer: 34335819656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1030745 by -206149.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1137, 2381, 3625, 4869, 6113, 7357?\nAnswer: 8601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 4, e: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(-2))\/((-39)\/(-13)). Suppose 0 = -2*w - 4*g + 98, -5*w - g = -a*w - 245. What is the units digit of w + (-3 + 2 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 2*v + 24. Let q = -44 + 56. What is the greatest common divisor of v and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0028 or -3\/5?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/3265 and -71\/51.\nAnswer: 166515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12456 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**2 - 5*y - 9. Let p(d) = 9*d**2 - 10*d - 17. Let m(h) = -6*p(h) + 11*v(h). Let w be m(-4). List the prime factors of (12\/10)\/(w\/(-5)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwcdccccccddwdwc. What is prob of sequence wd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(1089) - (-1*sqrt(1089) - sqrt(1089) - sqrt(1089))))**2.\nAnswer: 13\/1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 1. Let a(u) = 4*u + 12. Let t(o) = a(o) - 2*f(o). Is t(8) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f - n = -24*f - 5, 3*n + 5 = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 87995 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 10 = 2*d, -24 - 11 = -5*d - 5*z. Solve -d*s = -2*q + 14, -4*q + q + 14 = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 171\/(35910\/(-1020)) - -10.\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6703643342.4 - 1.4?\nAnswer: -6703643343.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*x + 749, 5*x + 3870 = 9*a - 4*a. List the prime factors of a.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = -p. Let n(x) = 2*x**2 + 2*x - 2. Let j be n(p). Suppose 11 = -j*c - c - 4*l, 3*c = -l - 5. Let z(o) = 4*o**3 + o**2 - 1. Calculate z(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p. Let v(f) = -207*f**2 - 483*f + 483. Let y(g) = -2*g**2 - g + 1. Let s(o) = v(o) - 483*y(o). Determine s(t(u)).\nAnswer: 6831*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -20210 (base 4) to base 16\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2. Let x(v) = -18*v - 13914 + 13914. Determine t(x(y)).\nAnswer: 648*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1587672133.\nAnswer: 67, 23696599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -448.06 + 455. Round b to one decimal place.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1971\/54 + (-2)\/(-4). Suppose g*j - 29365 = 32*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1053 (base 6) to base 9\nAnswer: -306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -19.3. Let i = 1 - 1.2. Let d = 0.3 - 0.1. What is the smallest value in i, k, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1651272 (base 8) in base 5?\nAnswer: -110324210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5042725)\/30*(-1)\/(-45). Let j = m - -3738. Find the common denominator of -41\/42 and j.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 35 = 37. Suppose 6 = 3*a - 5*a. Let s be (66\/(-18) + a)\/(h\/(-6)). Is 8 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/11 in 0.054, -1, -0.6, -38?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n - 43*n - 150 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**37*q)\/q**(-37))**(-49) assuming q is positive.\nAnswer: q**(-3724)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 315 and 462?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/2)\/(5\/(-40)). Let t = -6 - d. Let p = 5 + t. Solve p*m + 12 = -0*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**5 - 58*u**4 - 226*u**3 + 2578*u**2 - 2292*u - 5040 = 0. What is u?\nAnswer: -20, -14, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*l**4 - 22*l**4 - 2*l**2 + 28*l**4 - 2*l to p*l**2 + b*l**3 + d*l**4 + w*l + a and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48.7 + -49. Put s, 8, 4, 2\/9 in descending order.\nAnswer: 8, 4, 2\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v - 8 = 0. Suppose 2*d - d + 5*y = -29, 0 = 3*d + v*y + 76. Let x = d + 341. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 6*p + 3. Let m be k(-6). Let i(r) = 2*r + m*r - 2*r. Calculate the remainder when i(1) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26 and -46\/14233.\nAnswer: 14233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(-2*sqrt(10)) - 1*sqrt(112).\nAnswer: -9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/18802 and 109\/17185028.\nAnswer: 17185028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2534654956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-6 + 1 + 2 + (8 - 18)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(112) - (0 + sqrt(112)) - sqrt(112)))*-3*1.\nAnswer: 12 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37940670*r**2 + 18615000*r?\nAnswer: -75881340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -119 + 597\/5. Which is the fourth smallest value? (a) -0.3 (b) o (c) -0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1414971132 by 6.\nAnswer: -235828522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 60*x**2 + 622*x - 36. Determine d(-69).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 48546 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53.25 - 53.29323. What is c rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**2\/2 + 39*g - 122. Let a(p) = -3*p**2. Determine k(a(c)).\nAnswer: 3*c**2 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 2057?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-30)*24\/18. Which is the second smallest value? (a) 0.3 (b) -7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3*sqrt(52)\/sqrt(4) - sqrt(1300)*1).\nAnswer: 78*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -344641*n**2 - 689*n - 58 wrt n?\nAnswer: -689282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4784*b - 4951*b + 10321*b)*(2 + 0 + 1).\nAnswer: 1758*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 60\/18 + (-2)\/6. Suppose 3*q - 258 = -4*n, k*n - 3*q = -0*n + 183. What is the remainder when n is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(1\/((-8)\/6)). Suppose -2*q - 52 = 2*q. Let z = q + 20. Put u, z, -2 in decreasing order.\nAnswer: z, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402310801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165609*u = -165507*u + 1224 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p**2 + 2*p**2 + p**2 + (-2 + 2*p + 2)*(1 - 3*p - 1) + 3*p**2 - 11 + 11 + (1 + 2 - 1)*(-7*p**2 - 3*p**2 - 4*p**2) as d + h*p + b*p**2 and give b.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**2\/2 - v + 2. Let l(x) = -9*x. Let d be l(1). Let c = d + 8. Give n(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 8*b - 3. Let a(p) = -2*p**2 + 15*p + 7. Let m(j) = -4*a(j) - 7*f(j). Does 23 divide m(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 g, 1 t, and 1 f when four letters picked without replacement from ffftgftrxtt.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63056\/3 - -252233\/12. Let t be 15\/(-21)*(-4)\/(-10). What is the fourth biggest value in -8, -2, t, x?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -104, -248, -382, -500, -596, -664, -698, -692?\n\"Answer: o**3 - o**2 - 148*o + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 2:41 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 8*o - 6. Let y be p(-7). Let s = -19 - y. Which is smaller: s or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205341?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9556 - -9556. Which is the closest to 0.151? (a) -1 (b) 4 (c) -0.2 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1130 divided by 226\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -5, 55, 1.1177, 3 in descending order.\nAnswer: 55, 3, 1.1177, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 2*j**2 + 3*j**2)*(1 + 0 - 2) + (0 + 2*j + 0)*(2*j - 1 + 2 - 4*j).\nAnswer: -7*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 448398968 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1088) + 4)*-3*-5 + -4 + 2)**2 + -2.\nAnswer: 41760*sqrt(17) + 2206562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80 + 19 - -103) + 1 + (2 + -2 - -2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 4, 0.4, 3, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1.69, 3 in ascending order.\nAnswer: -1.69, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 126919*p**3 - 577*p**2 + 2*p + 23 wrt p?\nAnswer: 761514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 3)*(3*l**4 - l**4 - 3*l**4)*(0 - 2 + 4)*(-3 + 2 + 2).\nAnswer: -14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -21. Factor 490*g**2 - 4*g + u*g**3 - 2*g - 4 - 490*g**2.\nAnswer: 2*(g - 2)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101000101100 (base 2) to base 6\nAnswer: -51004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46*n**2 + 50*n**2 - 30*n**2 - 19 wrt n.\nAnswer: -52*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 11*k - 8. Let v(t) = 3 + 2 - 4*t - 4 + 2. Let d be (-4)\/(-10)*(-25 - -5). Let h(m) = d*v(m) - 3*f(m). Let o(c) = -2*c. Calculate h(o(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 4\/37?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -570*g + 1126*g = 564*g - 48520. What is the highest common divisor of 15 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 0*n - 3\/20*n**5 + 5\/3*n**3 + 0 + 43\/24*n**4 - 14*n**2. Find w such that h(w) = 0.\nAnswer: -2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 - 10*f**2 - 10*f + 64. Let i be n(5). Suppose 5*w - 4*p + 3*p = 63, -p = 3. What is the second derivative of -i*g + 5*g + w*g**4 + 19*g wrt g?\nAnswer: 144*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 6*d**2 - 15*d + 14. Let k be q(-8). Suppose 2*f + 4 = 3*n, 0 = 5*f + 2*n - 11 + 2. Sort k, 4, f in decreasing order.\nAnswer: k, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -813311295.\nAnswer: -813311295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.009 in 2, 2\/3, -2, -0.11, 1\/6?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(96)\/sqrt(12)) - (sqrt(65)\/(sqrt(5)*2) + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 461318.8 weeks in minutes?\nAnswer: 4650093504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 5. Let z(b) = b + 3. Let n be z(0). Suppose -u = u - 8. Calculate the smallest common multiple of s(n) and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3700341506 to the nearest integer?\nAnswer: 1547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 642901327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/10)\/(((-22)\/780)\/(-11)). Suppose -3*h - o + 105 = 0, -h + 4*o + j = 3*h. Calculate the greatest common factor of h and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14951373.8 rounded to the nearest 10000?\nAnswer: 14950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide -7989*((-114)\/234 + 24\/156)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1877064 is divided by 81554.\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 974363129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/42603 and 65\/6.\nAnswer: 85206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 609*v - 1415*v - 729*v.\nAnswer: -1535*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1.079*0.2\nAnswer: -0.2158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 748 by -4.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/2 of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3343039*k**2*o**2 + 13*k*o**2 + 36396*o**2 wrt k?\nAnswer: -6686078*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -3.6. Let d = -1 - -3. Suppose 4*p = 2 + d. Put p, y, 3 in descending order.\nAnswer: 3, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, x: 2}. What is prob of sequence jj?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18543)\/(-667548))\/((-2)\/(-18)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 274 = 2*u - 272, -5*u = -k + 22 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9078296726 and 12238.\nAnswer: 9078308964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.01+1447834\nAnswer: 1447834.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 183270069 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 11*s + 16. Let g be f(10). Differentiate -g - 8 + 8*r**4 + 46 wrt r.\nAnswer: 32*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6268 - 238*y**3 - 6274 + 45*y**3 in the form a + m*y**2 + d*y + p*y**3 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/19645166 and -63\/10.\nAnswer: 98225830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4 - 40*b + 159*b - 31. Let c = -31 + 34. Let u(a) = 10*a - 3. Determine c*i(z) - 35*u(z).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 10:34 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.22 in 1\/2, -26, 0.05, -5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3 = -n + 11, -8 = -4*g - 4*n. Is g\/60*-6*-30 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b. Let g(o) = 4*o**2 - 5*o. Let y(p) = -g(p) - 5*h(p). Let u = -11 + 17. Let s(d) = u - d + 10 - 16. What is s(y(x))?\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 618 + 771 = -9*q + 2*h, -5*q - 4*h + 153 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((41\/41)\/(-6))\/(2\/44).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*r - 43. Let t = r + 15. Suppose -3*z + 145 = 2*k - 0, 0 = -4*k - t. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4381470*w**3 - 3*w**2 - 2*w - 39693809 wrt w?\nAnswer: 13144410*w**2 - 6*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*m + 57*m = -18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 130778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 9195*z + 27540.\nAnswer: 5*(z - 1836)*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10775581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 143097941.20000014 + -143097940. Let b = 1.2 - q. Round b to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103\/(-10) + 160\/16 + 2087529\/30.\nAnswer: 2, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*d = 275*d + 4116 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1315105 - (0 - 4\/4)) + 0. Suppose 0 = 5*p + 259894 + l. What is p rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -383 + 383. Solve 0 = -4*v - 4*d + 9*d + 9, t = 2*v - 5*d - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43906060 divided by -11.\nAnswer: -3991460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -45, -1 in descending order.\nAnswer: 0, -1, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -435824, -869913, -1304002?\nAnswer: -1738091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 36. What is the common denominator of -1 + 21\/q*-1 and -49\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - 22. Let n = l - 27. Let h = 0.18 - -0.02. Put 0.5, h, n in ascending order.\nAnswer: n, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.64 - 4.44. What is the closest to 4 in -3, x, -7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29072920907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide (-42)\/7*3\/((-3)\/49)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -545835\/68 + 8027. Which is the third biggest value? (a) 2 (b) -1 (c) t (d) -0.4 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68274475 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110101010 + -1001011101100001101?\nAnswer: -1001100011010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**4 + 2*d**2 - 283161*d - 10316148 wrt d.\nAnswer: 4*d**3 + 4*d - 283161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 211669 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 0*c - c + 30, 0 = -b - 3*c + 20. Let k(h) = 2*h**3 + b*h**3 - h**2 - 8*h**3. Let x = -1 - 1. What is k(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 2*b + 3*b + (0*b - b + 3*b)*(-51 - 190 + 11).\nAnswer: -457*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {q: 4, t: 10}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (350\/140 - 441\/42) + -27.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63123899 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -5113.97.\nAnswer: 511.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-305)\/(-3050))\/((-4)\/(-32480)*7)\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 325*v**2 - 501*v - 259. What is the first derivative of y(t) wrt t?\nAnswer: 650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6006290\/77287 - -2\/11041. Which is smaller: v or 78?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(3\/4)*a\/(a*a\/a**(-1\/30)*a))\/(a**(-1\/8)*a**38) assuming a is positive.\nAnswer: a**(-4579\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 47*w**3\/3 - 37*w**2\/2 - 31*w - 60. Is m(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220217597.\nAnswer: 53, 4155049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3987*l + 3987*l - 2074*l**2 - 2*l**3)*(3 - 3 + 2*l).\nAnswer: -4*l**4 - 4148*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*t + 4. Suppose -2*z = -4*o + z + 73, -t*z - 12 = 0. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11885?\nAnswer: 5, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 303749448331.6?\nAnswer: 303749448326.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42.944 or -0.026?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 14) to base 10\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d = -o + 61, -3*o + 3*o + 5*o + 2653282 = 5*d + 2653302 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 13*a**2 - 6*a + 6. Let x be p(1). Solve -x = u - 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30983 - 333*x + 340*x + 30983.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 244\/28 + (-395)\/(-35) + -11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 6\/7847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -17*n**2 - 82*n + 20. Let u(a) = -16*a**2 - 83*a + 19. Let l(q) = 5*m(q) - 4*u(q). Determine i so that l(i) = 0.\nAnswer: -4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -11*t - 3. Let w be ((-3)\/6 - 0)*46. Let h = -27 - w. What is the tens digit of n(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -7\/90*r**5 + 0 - 1\/45*r**6 + 0*r**3 + 24*r**2 - 1\/12*r**4 + 0*r. Factor u(d).\nAnswer: -2*d*(d + 1)*(4*d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 8*i**2 + 11. Let m be h(8). Suppose m - 49 = -o. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*c = -248*c + 64 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 152 = 32*g. Sort g, 0, 1, -11 in increasing order.\nAnswer: -11, g, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 5, -42, -4, -0.8, -2\/3 in descending order.\nAnswer: 5, -0.3, -2\/3, -0.8, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 93580?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607169 > 1607164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 964480 to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 (base 10) in base 9?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.154 + 0.176. Let s = p - 0.73. Sort 2\/5, s, -4.8 in descending order.\nAnswer: 2\/5, s, -4.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by -13?\nAnswer: -46\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21563*m**3 - 1187.\nAnswer: 64689*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9160*-428.\nAnswer: 3920480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1033 - -1302?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1083 - 73 - 8*l**3 + 998.\nAnswer: -8*l**3 + 2008","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6 - 11) + 3 - -8) + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 76\/(-8) + (-44319)\/(-29172).\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143283379 divided by 1.\nAnswer: -143283379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-9)\/g)\/(g*(g**(22\/3)*g)\/g*g))\/((g**(1\/5)*g)\/g**(-32)))**(-4\/21) assuming g is positive.\nAnswer: g**(3152\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9385*u**2 + 51*u + 1 - 96*u + 45*u.\nAnswer: 9385*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112097?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49803*o**6*r + o**6 - 2*o**2*r - 16*o**2 - 2*r + 454 wrt o?\nAnswer: 5976360*o**3*r + 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 30*m**4 + 355*m**3 + 265*m**2 - 115*m - 55 = 0.\nAnswer: -11, -1, -1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -12, 6, 2.6, 49?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1.45 - -0.7\nAnswer: -0.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 495 and 446805?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -11*p**2 - 8*p + 7. Let r(v) = 10*v**2 + 7*v - 6. Give -7*r(m) - 6*z(m).\nAnswer: -4*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6405 + 76939\/12. Find the common denominator of x and -73\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-14))\/((-9)\/(-12))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 193.1 * -11.5\nAnswer: -2220.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.286 + -2.386. Which is bigger: -429\/4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 * 4\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 156 + 99. Suppose 5*k + q = n - 232, 4*k = -4*n + 1828. Let w = n - 211. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*m + 13, 0 = r + 4*m - 0*m - 21. Suppose 5*c = -0*c + r, 0 = -5*v - c + 266. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -18.0000194. What is i rounded to 6 dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 a factor of 455716396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, c: 3, d: 1, v: 1}. What is prob of picking 1 d and 3 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 887 - -1480. List the prime factors of r.\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 - ((-11 - -5) + 15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16370, 16360, 16350, 16340, 16330, 16320?\n\"Answer: -10*v + 16380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-10) - (-12221)\/(-505)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 1050.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 18*c**2 - 46*c - 9. Let z be p(9). Let r(s) = -301*s - 310*s + 902*s - z*s. Let x(l) = 19*l**2. Determine r(x(b)).\nAnswer: -285*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (6 + -8 + 4 + -1) - (222 - 205)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*t - 3*j = 29 - 14, 0 = -2*t - 2*t + 2*j + 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -39, -2, 4 in descending order.\nAnswer: 4, 2, -2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14815\/51877 + 1\/7411. Which is the nearest to -1? (a) n (b) -2\/9 (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10630 - 4024?\nAnswer: 4604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 41a - 2938c?\nAnswer: -28f72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 16 (b) 165566\/11 (c) -4 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 303*w + 12. Let f(s) = 25*s + 1. Let k(i) = 60*f(i) - 5*u(i). Let a(p) = -28*p**2 - 3*p. Determine a(k(d)).\nAnswer: -6300*d**2 + 45*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3422817321 to the power of 1\/3, to the nearest integer?\nAnswer: 1507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4555 = g, 3*h - 5*g - 2873 - 3966 = 0. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45 - 51 + 3*q + 281 - 5*q + 44*q**2 with respect to q.\nAnswer: 88*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1909*o + 70 = -5*v + 1914*o, 4*v - 38*o + 464 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122815320?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 96\/(-60)*30\/36\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*o**3 - 3 - 2*o**2 - 5*o**3 + 4*o + 6 in the form v*o**2 + u*o + i + g*o**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2. Let v(o) = 12*o + 30*o + 3*o. Calculate q(v(w)).\nAnswer: -4050*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) + sqrt(198) + (sqrt(198)*1 + sqrt(198) + sqrt(198))*3 + sqrt(198) + sqrt(198))\/sqrt(6))\/(5*sqrt(121)\/(sqrt(22)\/sqrt(2))).\nAnswer: 13*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -496*k**6 - k**4 + 426*k**3 + 5213513*k**2?\nAnswer: -59520*k**3 - 24*k + 2556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) 5461.8 (c) -18 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -7, 7, -0.2, 1 in decreasing order.\nAnswer: 7, 1, 0.5, -0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/((-21)\/4)*-36. Let u = s + -87. List the prime factors of 6\/u - (-316)\/26.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-780)\/96 - -8)\/((-9)\/10 + 1)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 996.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311776?\nAnswer: 2, 9743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2417 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 21, 20, 19, 18, 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.24246ml in litres?\nAnswer: 0.07724246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00139176 rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*q = 0, -f + 4*q = -0*q. Suppose f = 7*v + 49 - 14. Let y(u) = -u**3 - 4*u**2 + u + 9. Calculate the remainder when y(v) is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 434*h - 1963*h**2 - 872*h + 438*h to the form j*h + q + b*h**2 and give b.\nAnswer: -1963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from glgzgigigzlzzzszslzi. Give prob of picking 3 l.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -475239*b**3 - 648860?\nAnswer: -1425717*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by 81807.\nAnswer: -14\/27269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(1365\/14))\/(4\/(-18))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44.93456 litres?\nAnswer: 44934.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12509 and 780919?\nAnswer: 5466433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 112421, 112748, 113075, 113402?\n\"Answer: 327*n + 112094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**2 + 30*x + 225\/2 = 0.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132198164.\nAnswer: 2, 7, 149, 31687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 693772 is divided by 693756.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m. Let z = -10 + -11. Let d(t) = -5*t**2. Let h(y) = 51*y**2. Let g(f) = z*d(f) - 2*h(f). What is j(g(q))?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 0. Let g = -21.477 - 0.523. Which is greater: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*k = 239*k - 109*k - 396 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.5 + -20. Let o = 5 + -5.6. Let v = 0.2 + o. Sort t, v, -5 in increasing order.\nAnswer: -5, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 3*q - 30. Let i = -1 - q. What is i rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22372347 rounded to five dps?\nAnswer: 0.22372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 38*r**2 + 36*r**2 - 8*r**3 - r - 75*r**2 to a*r**2 + s*r + d + w*r**3 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/6 and -87\/3032464.\nAnswer: 9097392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 769, 1523, 2281, 3049, 3833, 4639, 5473?\nAnswer: 6341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 204*f - 75*f - 633*f - 65*f - 800*f to the form g*f + m and give g.\nAnswer: -1369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 10\/12 - (55 - 56). Suppose 2 = r - 3*r. Let z be 1 - (4\/(-5))\/r. Which is the biggest value? (a) 2 (b) q (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*t + 24 = 3*w, 0 = -2*w - 2*t. Suppose -w*a - 288 = 132. Is a\/(-18) + (-6)\/(-27) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*d - 99*d + 106*d + 164*d - 73*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by -9\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 237, -67, -61, -5, -6.\nAnswer: -67, -61, -6, -5, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2629*f**4 - 7*f**3 - 44463*f wrt f.\nAnswer: 31548*f**2 - 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**2 + 63145*g - 63140 = 0?\nAnswer: 1, 12628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 137*k**4*y - 289*k**2*v*y - k*v*y - 2*k*v - 13*k*y - 362*y + 62 wrt k?\nAnswer: 1644*k**2*y - 578*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -274*k - 18. Let m be b(-7). What is m rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/5))**(-32)*(q**3)**(-8) assuming q is positive.\nAnswer: q**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 8. Suppose o*q + 11 - 74 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -4\/113, -0.2, -4\/5, -1\/4, -14?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/((-4)\/(-79 - -3)) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.4 (c) 1\/3 (d) -4\/17 (e) 10 (f) 0.8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 155054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/3*z + 1\/6*z**3 - 3*z**2 + 0.\nAnswer: z*(z - 16)*(z - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.9 - -9.9. Which is the nearest to -7? (a) l (b) -2\/11 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 13 = -6*z. Suppose 8*w + z*w - 156 = 0. What is the second smallest value in -5, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a + 35917256. Let n(s) = -2*s**2. Calculate w(n(u)).\nAnswer: -8*u**2 + 35917256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 + -2 - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53\/75 - -1\/25. Let z = -5\/6 - -1\/2. Let u = z + -1\/15. What is the closest to u in 2, 0.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 10810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*m + 3*m + 3*m)*(23*m - 46*m + 24*m + m**2) to the form x + i*m**2 + g*m + n*m**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 divided by 1?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21533947833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 5*s - 637 + 317, 3*b + 4*s = -171 for b.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.478 and 127489.\nAnswer: 127486.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 2*c - 4. Let d be t(-3). Suppose 0 = -5*u + w + 81, 2*u + 22*w - 50 = 18*w. Let g = u - d. What is the smallest common multiple of 16 and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*g + 3*c - 5, c = 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-13\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47460080 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17919 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252576 and 1152.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -515*x**2 - 4 + 515*x**2 - 6*x - 16*x**3. Let w be (-22)\/10 + (-16)\/(-80). What is the units digit of o(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 102 - 8 = 0. Suppose -4*r - r + s = 4*q, 2*q + 8 = 2*r. Suppose -6 + 21 = r*t. Solve 0 = -t*u - 32 + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, v: 4, d: 2, y: 2}. What is prob of picking 1 y and 1 v?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-96)*-2)\/((-6)\/(-53)). Let g = d - -1\/9. Find the common denominator of (-429)\/(-220) + (16\/(-10) - -2) and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 59\/3 - -1 - (-8)\/(-12). Suppose t - 2*m = o, -31 - 61 = -4*t - 4*m. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101011022 - 10?\nAnswer: -101011032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-28)\/(-21))\/(4\/(-12)). Let l(x) = x**3 + 3*x**2 - 3*x + 5. Give l(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -995 + 21895\/22. Let s = q + 23\/44. Let r = 3\/4 + s. Which is smaller: r or 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20832949 and 173127?\nAnswer: 62498847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*l - 312 = -86*l. Calculate the remainder when 45 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 5. Let g = 1.8 + n. Let o = -1215 + 1214.5. What is the third smallest value in g, -1\/3, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**6\/72 + b**5\/4 - 25*b**4\/24 - 20*b**3\/3 - b**2\/2 + 85. Let t(h) be the third derivative of s(h). Factor t(u).\nAnswer: -5*(u - 5)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1308*n - 2*n**3 + 7*n**2 - 8*n**2 + n**2 + 972*n**5 + n**3 wrt n.\nAnswer: 19440*n**3 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from annnnnnnnns. What is prob of sequence sna?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 9*c**2 + 4*c + 30. Calculate i(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 12. Let j be (8\/14)\/((-4)\/c). Suppose 146*f = -23*f + 845. Solve -j*h - 19 = -7*h + 2*w, f*w = 2*h + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/19 - ((-518)\/(-133) - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3960\/(-24)*(-2)\/5. Suppose -88 = -74*q + s*q. Let y = -6 - -20. Which is smaller: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3983\/99 - -367\/9. Factor -12\/11*r**3 + 2\/11*r - o*r**5 + 0*r**2 + 0 + 16\/11*r**4.\nAnswer: -2*r*(r - 1)**3*(3*r + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-20)\/6)\/((-2)\/12). Let z = -3.9444 + -0.0556. Put z, -2, y in decreasing order.\nAnswer: y, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 283422 divided by -6\nAnswer: -47237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 123 - 133. Let s = -23 + l. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 14*l**3 - 9*l**2 - 8*l - 20. Let v(u) = -5*u**3 + 3*u**2 + 3*u + 7. Let i(y) = 4*o(y) + 11*v(y). Let n be i(3). Solve n = -2*d + 3*d - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -41931.\nAnswer: 12579.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 74356361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -10, -4, 9, 3 in descending order.\nAnswer: 9, 3, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 105 = -19*b. Suppose b*w - p = 3123, -3*w + 1867 = 2*p - 6*p. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2315 = 2*w - 153, 3654 = 3*h - 3*w. What is the third smallest value in 3, h, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7*h**3 - 2*h**2 + 19*h - 6. Let j(i) = -4*i**3 - i**2 + 9*i - 3. Determine 6*a(p) - 13*j(p).\nAnswer: 10*p**3 + p**2 - 3*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.67836 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4*f + 6554, 34*f - 26151 = -4*n + 31*f. Suppose 70*a = 43*a + n. Does 32 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 0*d**2 + 4*d**2 + 2 + 16*d - 2*d**2 - 17*d. Let c be v(1). Suppose 17 = 5*w - c. Solve r - 2*r + 20 = w*x, x - r = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 18*a + y + 4 = 13*a, -4*y - 30 = -3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11868979.53 + -0.0179.\nAnswer: 11868979.5121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5607, 5585, 5563, 5541, 5519?\nAnswer: 5497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*g + 6 = 4*v, -3*g = 5*v - 11. Let j(f) be the second derivative of -f**3\/3 + 3*f**2\/2 - 4*f. Determine j(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 18. Suppose 4*i = k*s + i + 6, 5*i = 10. Solve -2 = -2*l - s, 1 = w + 3*l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 3. Let r be b(0). Suppose r*m - 12 = -0. What is the third derivative of 2*l**m + l**4 - 3*l**2 + 0*l**2 wrt l?\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*z - 3*v + 12, 2 = 2*v. Suppose -z*c + 8 + 7 = 0. Suppose -2*f + u = -5*f + 30, -c*u - 18 = -3*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -89.4, -2\/7?\nAnswer: -89.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36\/13 - 193\/65. Let k = -343\/6 - -56. Let r = k - -2\/3. Which is the biggest value? (a) d (b) -3\/8 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5\/(-3))\/((-4)\/30*5)*30694.\nAnswer: 5, 103, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 3*v = 36. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1 + (0 + 1 - 9)*(-3 + 0 + 5) - 4 + 5 + 1)*(y - 28*y - 4*y)*(2*y**2 - 3*y**2 + 0*y**2) in the form c + j*y**3 + l*y + x*y**2 and give j.\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223269*r - 5*r**3 - 223269*r + 2*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 + 1793*p**2\/2 + 14417*p\/2 - 16209\/2.\nAnswer: -(p - 1801)*(p - 1)*(p + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 - 1 - 95*z**2 + 193*z**2 - 91*z**2 to the form m*z**3 + s*z + h + c*z**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4633 - 2600. What are the prime factors of a?\nAnswer: 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -341 (base 12) to base 11\nAnswer: -3a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17868*m**4 + 16087*m**2.\nAnswer: 428832*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2898 a factor of 33019812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 22. What is the lowest common multiple of 12 and 4 - (h + -16 + 4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 7:46 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2 - 4. Suppose -g + 29 - 34 = 0. Let y(h) = -1. Let q(p) = 1. Let w(c) = g*y(c) - 4*q(c). What is -b(i) - 4*w(i)?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21644212?\nAnswer: 2, 5411053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 173 - 1213\/7. Let c(n) = 1. Let m(d) = d**2 + 5*d + 7. Let k(u) = -6*c(u) + m(u). Let p be k(-5). Which is smaller: p or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((3 + sqrt(252)*-2)*5 + sqrt(252)*1 + 5 + sqrt(252)*-1 + -4)*-4)**2*-6.\nAnswer: -87975936 + 6635520*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.5 + 12. What is the third smallest value in 1, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.57 - -16.57. Which is the closest to -24? (a) g (b) -2\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1362 and 112038.\nAnswer: 25432626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - 0.1. Let p = y - 0.3. What is the nearest to p in -4, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 316753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/(-36)*(7040\/(-33))\/(-10).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 858*r + 12. Give g(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -8*k + 28 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 67607b?\nAnswer: -676077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/4 - 3*l**3\/4 + l**2.\nAnswer: -l**2*(l - 1)*(l + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91583\/165945 + 5\/2553. Let n = 2\/13 - v. Let a = 14.1 - 14. What is the second biggest value in n, a, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 + 4*j**3 - j**3 + (0*j - 4*j - 4*j)*(3*j**2 - j**2 - 3*j**2) - 2*j**3 + 7*j**3 - 2*j**3)*(j - j + j**2).\nAnswer: 12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -207, -493, -893, -1407, -2035, -2777?\nAnswer: -3633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 26. Suppose f = -2*h + 5*h. Let u(z) = z**3 - 4*z**2 + 2*z - 5. Determine u(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 1. Let a be h(-2). Is -127*a*(-3)\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409 = -10*p + 439 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1814790 rounded to the nearest 10000?\nAnswer: -1810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1715909?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1141*-2.\nAnswer: -2282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 202*s + 200*s, -s = -2*y - 6*s - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -6. Let j = q + -3. Let n(z) = -5*z + 1. Let x(g) be the third derivative of g**4\/6 - g**3\/3 + g**2 - 2*g + 51. What is j*n(r) - 3*x(r)?\nAnswer: -2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-79)\/(1738\/(-1705)) - 49. Factor 1\/2*j**2 + p - 29*j.\nAnswer: (j - 57)*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(297) - sqrt(33))\/(sqrt(891)*1 + sqrt(891) - sqrt(891)) + -1 + -3)**2.\nAnswer: -40*sqrt(3)\/9 + 457\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290 = 4*b + 2*z, 0 = b - 2*z - 104 + 39. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/117 + (-444)\/(-1131).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*f**2 + 15*f**3 - 23*f**2.\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.73 - -3.03. Sort -6, -2\/7, 1\/2, s in descending order.\nAnswer: 1\/2, s, -2\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100010120211220 - 12?\nAnswer: -100010120212002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 7 = 1. Let d = 16 - 13. Let i(w) = 2*w**2 - 5*w**2 - 4*w + 2 + 10*w - w**d. Give i(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of a**6\/9 + 4*a**5\/15 - a**4\/3 - 16*a**3\/9 - 7*a**2\/3 - 4*a\/3 + 7. Factor z(c).\nAnswer: 2*(c - 2)*(c + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(18\/(-3)*(-1)\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 469.276 - 2.24.\nAnswer: 467.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 26*s + 1. Let n be 180\/156 - (-2)\/(-13). Determine b(n).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 - -4.88. Let y = 9 - 5. What is the second smallest value in -4, y, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t - t - 2 + 2 - 3*t + (-2 + 2 - 2*t)*(-2 - 2 + 2))*(60 + 61 + 22)*(-3 + 1 + 0).\nAnswer: 286*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-5) + 6\/(-10). Let j = 78 + -99. Let i be ((-48)\/140)\/((-6)\/j). Is i at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6*i**2 + 5*i - 10. Let q(j) = 52 - 40 + 7*j**2 - 131*j + 125*j. Let d(p) = -6*m(p) - 5*q(p). Let z(s) = s**2 - 3*s**2 - 6*s**2. Give z(d(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2186 + -2109. Suppose z - 8 = 58. What is the greatest common factor of z and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01334 to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6282018 times 14\nAnswer: -87948252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 45\/154 (b) -5 (c) -3\/62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21045.465 months?\nAnswer: 175.378875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -5*t**4\/4 + 10*t**3\/3 - t**2 - 6. What is the first derivative of k(i) wrt i?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(75\/(-5) + 27))\/((-2)\/66)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(13\/2)\/(q*((q\/(q**(2\/17)\/q))\/q)\/q*q)*(q**4*q)\/(q**6\/q) assuming q is positive.\nAnswer: q**(157\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/40 + (-1)\/(-5). Sort b, -5, -4 in decreasing order.\nAnswer: b, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*k + 1 - 0, -3*k + w - 1 = 0. Let f(c) = c + 62. What is the remainder when f(k) is divided by (-80)\/(-6)*(168\/(-5))\/(-14)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + -3 + sqrt(448)*-1)**2 + sqrt(448) + ((sqrt(448) + (1*sqrt(448) - sqrt(448)))*1)**2.\nAnswer: 8*sqrt(7) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 4. Let h(y) = -y. Let i be h(j). Let w(n) = -1 + 2 - i - 9*n. What is w(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34148 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 times 118\nAnswer: 17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2700806, -5, -8 in descending order.\nAnswer: 2700806, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-1*(-3 - -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 15 = -2*l, 0 = 4*l - y - 4*y - 27. Suppose 0 = 3*m - 4*m + 3*j - 11, l*j - 17 = -5*m. Put -2, -5, m in decreasing order.\nAnswer: m, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 7*b**2 + b + 6. Let o be g(-6). Let a be ((-42)\/(-9))\/(8\/o). Is a equal to 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 28 + 37 = -6*t, -2*t = b + 11. Let n = 3 + -3. Sort 5, 12, n, b in decreasing order.\nAnswer: 12, 5, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/35*-2*(46 + -43)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-12) - (-183)\/4. Let m = 68 - b. What is the highest common divisor of m and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 745 + -749. Let y(w) = -6*w**3 - 2*w**2 + 8. List the prime factors of y(q).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23942968 a multiple of 367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 9 = v. Suppose -v*t = -11*t - 155. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1065.0883 - -1064.4. Let p = f - -0.69. What is p rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -4. Let f = 11 + -7. Which is the third biggest value? (a) -5 (b) s (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-3) + 440\/660. Let s(z) = -z**2 - 4*z - 3. Let j be s(-2). Solve -j = k*b - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24543525 (base 6) in base 15?\nAnswer: -109755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*c + 46, -61 = h - 5*c + 6*c. Let d = -51 - h. Suppose 8*k = d*k. Solve -3*z - z - 3*x - 1 = 0, -z - x - 1 = k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6 + 2 - 3*a + 3. What is the units digit of j(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8*s**2 + 4*s + 2. Let m(f) = -7*f**2 - 4*f - 1. Let c(r) = 6*g(r) + 7*m(r). Let i be c(-5). Is i at most as big as -10\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**3 + 2*u**2 - 3*u - 8. Let r be h(-3). Let y be (31 - r)\/((-3)\/8). Suppose 138 + y = 2*b. Does 58 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = f - 0, -f + 0*f = -74*b + f + 4302 for b.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**5\/20 - 7*g**4\/12 - 4*g**3\/3 - 5*g**2 + 35*g - 2. Calculate the least common multiple of 22 and c(9).\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 954 greater than or equal to 69658\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 208 + 1\/2*s**2 - 92\/3*s**3 + 0*s**4 + 0*s + 116\/5*s**5. What is the third derivative of v(g) wrt g?\nAnswer: 2784*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382*n**2 + 2*n + 1084 - 209*n**2 - 57*n**2 - 1084.\nAnswer: -648*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d - 3*d - 11*d + 20*d - 35*d**3.\nAnswer: -35*d**3 - 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 76 - 11*a**3 - 2*a**2 + 9*a**3.\nAnswer: -2*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21092 is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) 24 (c) 2\/5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*-2)\/((-30)\/(-315) + (-120)\/(-63)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3269033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -530a8?\nAnswer: 530a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1017, -1015, -1013, -1011, -1009, -1007?\nAnswer: -1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1390, 1414, 1438, 1462?\nAnswer: 1486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 0)*(194 - 194 - 27*u**3)*(4*u - 3*u - 2*u + (3*u + 2*u - 6*u)*(0 + 4 - 5) - 3*u - 2*u - 3*u).\nAnswer: -1296*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -73, -161, -213, -211, -137, 27, 299, 697?\n\"Answer: 3*a**3 - 109*a + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/5)\/(12\/(-60)). What are the prime factors of 0 - u\/(12\/(-1194))?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -6\/694985?\nAnswer: -6\/694985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55018, 111576, 168134, 224692?\nAnswer: 281250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**5\/5 - s**3\/2 - 2*s**2 - 5*s. Let h(z) be the first derivative of d(z). Is 9 a factor of h(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 322 - 509 = -4*c, 0 = c + 3*h - 219. Calculate the greatest common factor of 50 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/2 + 4065375*a**2\/2 + 121963275*a\/2 + 914729625\/2.\nAnswer: -3*(a - 1355155)*(a + 15)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3, -187, -1, 0 in decreasing order.\nAnswer: 3, 0, -1, -13, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*j = -5 - 1, -3*j = 5*c - 38. Which is smaller: -66 or c?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*h**3 - 27*h**3 + 14*h**3.\nAnswer: -32*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hchhhghhhg. What is prob of sequence hhch?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*z = -89*z + 38*z + 1372 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26306 divided by 1879.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 2)*(-3*j + 2*j + 4*j)*(0 - 3 + 2 + 9 + 14 + 5 + (4 + 0 - 2)*(0 + 5 - 4)) to the form w + i*j and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 104\/13 - 0\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14437105 divided by -1205.\nAnswer: -11981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + -340003 + (4 - 3). What is n rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 + 24*y + 32. Let x be z(-15). Let u(i) = -14*i - 49. Let w be u(2). Let n = x + w. What is the greatest common factor of n and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x - 12. Suppose 47 = 4*c + 3*p, 4*p - 8 - 4 = c. Calculate the smallest common multiple of (2\/4)\/((-1)\/(-16)) and i(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 569125761 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 4*m + 80 = 8*m. Let x(y) = 3*y**2 + 1. Let n be x(-1). What is the greatest common factor of m and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*l - 356 = -198*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1881 = -93*p - 534*p. Solve -4 = d, -p*w + 91 = -5*d + 62 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 6 = -19. Let g = -5 - y. Suppose 5*k + 234 = 5*u - 81, 2*k - 8 = g. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 9*q**3 - 9*q**2 - 5*q + 5. Let h(f) = 4*f**3 - 4*f**2 - 2*f + 2. Suppose 25*s + 36 = 7*s. Let b = -5 + 10. Calculate b*h(o) + s*i(o).\nAnswer: 2*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -11 and 13225068 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.04 - 0.14. Let q = i - 4.2. Which is the closest to 2\/7? (a) -1 (b) q (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p + 4 + 0*p**2 + p + 6*p**2. Let j be (6\/4)\/((-2)\/4). Is a(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30, -27, -38, -69, -126, -215?\n\"Answer: -g**3 - g**2 + 13*g - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, p: 17}. What is prob of picking 1 s and 3 p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09 + -3.09. Which is the closest to -2\/3? (a) v (b) -4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.02, -3\/5, 0.2, 22?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1715, -1712, -1709, -1706, -1703?\n\"Answer: 3*y - 1718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -63*r**3 + 72 + 7*r**4 + 197*r**2 - 3*r**4 - 23*r - 187*r = 0.\nAnswer: 3\/4, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 8651 - 8662 = 4*t, 5*q = t - 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -354390 rounded to the nearest 1000?\nAnswer: -354000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 5:13 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -9*h - 101. Let a be l(-12). Let c(q) = 8019*q + 0*q**2 - 8024*q - 6 - q**3 - a*q**2. Determine c(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 4. Let j(a) = -q*a**3 + 2*a + 5*a**2 + 2*a + 2*a + 6*a**3. Let z be j(6). Let c(x) = x**2 + x + 5. Determine c(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*o + 55*o + 58*o + 60*o - 214*o.\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/5, 0.03, 525\/4, 0.678, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/675798 and 19\/978.\nAnswer: 675798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -3, -1, -291, 1\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -5*r + 44, -4*b - 1256525 = -3*r - 1256603 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(200) + -2 - sqrt(200)))**2 - (sqrt(32)*6)**2*6.\nAnswer: -6812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89 - 127. Let b = -116488 - -116487.9. Are b and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, 76, 7, -1, -0.271, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 8)\/(-11) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*n + 3, 0*a - 2*a + 5*n = -27. Let i(m) = 0 - 3*m + m**3 + a - 4*m + 6*m. Does 15 divide i(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k**4 - 22492*k**2 - 2215?\nAnswer: -4*k**3 - 44984*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 10. Let g be q(8). Let j(l) = -16*l - 3. What is the tens digit of j(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/((-4)\/224). Suppose -5*t + 4*h + 992 = 0, -4*h - 133 = 2*t - 513. Calculate the greatest common factor of t and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000048548 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v + 14. Let r be m(6). Suppose 5 = 3*z - 1. Solve -h - z = -r*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((135\/(-6))\/15)\/((((-570)\/(-40))\/19)\/7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y - 7. Suppose -3*a + 10 = f, -2*f - 1 = -3*a - 12. Calculate the remainder when j(f) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 10*w - 29. Let q be o(13). Suppose q*s + 36 = 19*s. Calculate the least common multiple of 9 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 10*n - 18. Suppose 3*c - 4*b = 21, -n*c - 4*b = -0*c + 3. Solve c*w + 9 = 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*m - 4508 = 13571 - 3729 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213103 - -0.04.\nAnswer: -213102.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -57769200.\nAnswer: -1\/19256400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 4*f - 3. Let s be z(-4). Sort -5, s, 1 in descending order.\nAnswer: 1, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**6\/10 + 6*p**5\/25 - 2*p**3\/5 + 3*p**2\/10 + 7. Find f such that y(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, 0, -3, 1\/5, 7, 31?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -152 - u**2 - 648*u**4 - 2*u**2 + 644*u**4 + 40 wrt u.\nAnswer: -96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 7*v - 16*l + 68, 6*v - 6*l = 6*v - 3*l + 6 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -403 - 1166?\nAnswer: -1602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 450, 994, 1626, 2262, 2818, 3210, 3354?\nAnswer: 3166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16096 - 16096.4. What is the nearest to 0.5 in -12, a, 0.06, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -5 (b) 2\/15 (c) -12\/5 (d) 30 (e) -0.2 (f) -0.5 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -i - 2*i + 244, -i + w = -78. What is the greatest common factor of i and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9327 = 5*d + 2*q - 14567, -2*d = -3*q - 9550. What is the thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f**(-6\/11)*f)\/f*f)*f**(1\/11))\/(f\/f**(2\/89))**14 assuming f is positive.\nAnswer: f**(-13754\/979)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a**2 + 165 - 8*a**2 - 161 + 6*a. Give q(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -29. Suppose -2 = b - 2*t - m, 5*t = -5*b - 10. Let x(c) = c**3 - 9*c**2 + 10*c - 5. Let r be x(8). Solve -r = 4*d - 3, 12 = b*f - 5*d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(171\/18)*-1. What is the smallest value in -4\/55, 1, k?\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**5\/20 - 27*u**2\/2 + 102. Let t(l) be the second derivative of f(l). Let j(i) = i. Calculate j(t(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4 - 3*w - 2*w + w - 2. Let g(y) = 12*y - 6. Let t(l) = -6*g(l) - 17*q(l). Give t(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*((-2 + sqrt(2) + sqrt(32)\/sqrt(4))*1 - (-1 + -6*2*(sqrt(8))**2)).\nAnswer: -950 - 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**3*k*k)**(3\/49))**(5\/4) assuming k is positive.\nAnswer: k**(45\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3468449 divided by 34\nAnswer: -3468449\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - h. Let u(y) = 14*y**3 - 2*y**2 - 122*y. Let a(q) = -2*t(q) - u(q). Find the second derivative of a(d) wrt d.\nAnswer: -96*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.111 - 24.311. Let s = 15.3 + q. Round s to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136273123 to the nearest integer?\nAnswer: 11674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115541 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.094 + -0.006. Sort -54, -0.4, 1, w in decreasing order.\nAnswer: 1, w, -0.4, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 5*d**2 - 4*d + 2. Let h be p(-5). Let x = h + -14. Suppose -i + x = i. What is the least common multiple of 5 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8 - -0.66224938102367.\nAnswer: -1.13775061897633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, r: 4, l: 7}. What is prob of picking 3 l and 1 v?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**4\/4 - 7*h**3\/6 - h**2 + 21*h. Let s be v(3). Let w = 17 - 3. Solve 3*m = 2*k - s*k + 2, -k + w = -5*m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2 - 67*y + 67. Let b be c(1). Put 3, 4, b, 7 in decreasing order.\nAnswer: 7, 4, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12966 = -7*s - 12959. Suppose -4*j - 12 = 2*o - 4, 5*o + 8 = 2*j. Sort s, -4, j.\nAnswer: -4, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.64785 and 185778.849?\nAnswer: 185778.20115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30754 - -32721. Calculate the remainder when t is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - w**2 + 1. Let h(i) = 2*i**3 - 5*i**2 + 4*i + 3. Calculate h(s) - 3*z(s).\nAnswer: -s**3 - 2*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t**2 + 58*t**3 - 12*t**2.\nAnswer: 58*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*o)*(1 - 1 - 2*o) + (2*o**2 + 4*o**2 - 4*o**2)*(-2 - 2 + 3) - 30*o**2 - 234*o**2 - 173*o**2 to v + h*o**2 + r*o and give h.\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120012 is divided by 3240?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d - 40. Calculate the remainder when 22 is divided by k(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 15064*j - 2. Let c be v(-2). Let n be (-1)\/4 - c\/40. Is n\/9 - (-4)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/(-49) - (219\/(-21) - 0). Suppose -12*k = -f*k - 12. Suppose x - 5*c = k*x - 500, x - 3*c = 112. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 36*k**2 - 126*k - 58. Give o(32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 118?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 179604917903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7\/8*w**2 + 67\/8*w + 15\/4 = 0.\nAnswer: -3\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**7*q\/q**(-4\/5)*(q**(2\/7))**(-7\/5) assuming q is positive.\nAnswer: q**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.277 - 0.753. Round n to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-four fifths of a decade?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 227533 = 2*x + 53923, 0 = -x + 4*q + 86798. Suppose 5*p + 3*j + 0*j + 434006 = 0, 0 = -p - 3*j - x. Round p to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**2 - 3*l + 3. Let m(d) = -d**2 + 1. Let q(n) = -4*m(n) + o(n). List the prime factors of q(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 453 = 3*l + 4*u, 4 = -2*u - 2. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -3*k**2\/2 - 56*k + 51. Let c be b(-20). Solve c*o = -23 + 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {y: 1, g: 3, x: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(1*(sqrt(170) - (sqrt(170) - (sqrt(170)*1 - sqrt(170)))) - sqrt(170)))\/(((1*sqrt(20))\/sqrt(2) - sqrt(10)) + sqrt(30)\/(2*sqrt(3)))*1)**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501116 is divided by 8655.\nAnswer: 7781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 242 by 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w. Let n(j) be the first derivative of 5*j**4\/24 + j**2 - 1. Let x(c) be the second derivative of n(c). Determine x(o(i)).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 45518\nAnswer: -45518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - f + 5*y - 34, -2*y = -2*f - 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 28 + 30 = 0. Which is the third smallest value? (a) -0.1 (b) 1\/2 (c) l (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4951.9 + -5838. Let n = f + 848. What is n rounded to zero decimal places?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -16029 + 32067 - 18*j**2 - 16038. Let g(z) = -13*z - 6. Let n(s) = 481*s + 221. Let p(y) = -221*g(y) - 6*n(y). Calculate o(p(l)).\nAnswer: -3042*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/25 in 1, 9, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -2*x + 3*y - 238, 5*y = x - 48. What is the remainder when x is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 178\/11 + (-34)\/187. Factor -11*x**5 - 17*x**3 - 7*x**3 + 51*x**4 + g*x**3 - 4*x**3 - x**5.\nAnswer: -3*x**3*(x - 4)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 664*m - 11 = 665*m, 70 = -15*q + 2*m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791576 a multiple of 1341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3}. Give prob of sequence oo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 199938 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - y + 1210. Let p be q(0). Calculate the greatest common factor of 55 and p.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11126826 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = u - 1. Let l = 2.5 - 1.4. Let p = l - 1.2. Which is the second smallest value? (a) u (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1491*o + 5184 = 1545*o. Solve -15*b + 47*b = o for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 5:48 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -233.75 times 53\nAnswer: -12388.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -483, -492, -513, -552, -615, -708?\n\"Answer: -p**3 - 2*p - 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -2 (b) -3 (c) 39228 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19908 and 33458949.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t\/(t*t**(-3\/2)\/t))\/t*t)\/t**(5\/6))\/((t\/(((t*(t\/t**(1\/2))\/t)\/t)\/t*t))\/t)**(3\/4))\/((t\/t**(-6))\/(t**(2\/3)\/t*t))**(-16) assuming t is positive.\nAnswer: t**(829\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 591 and 132581.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2080 + 2173 + (1 - 17)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61 - 120 - 14)*(-p + p + 2*p) to the form o*p + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 67*q + 328. Let o be (1 + 2\/(-4))\/(4788\/(-280) + 17). Give t(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7909*d + 13038?\nAnswer: -7909","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 0*o - 2*o + 2 - o**2. Suppose -27 = -84*b + 57. Let x be r(b). Which is greater: 0.26 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1119736033 - 112.6?\nAnswer: -1119736145.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -5 (b) -2\/37 (c) 8 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/5 - 31504*s**2\/5 + 248440244*s\/5 - 991242256.\nAnswer: (s - 15742)**2*(s - 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 744471 divided by -2121.\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = -5*y + 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0*c + 8 = 0, 3*h - 3*c = 3. Suppose 0*f = -o + 2*f + 7, -h*f - 8 = -o. Factor -4 + o + 1 - 4*l - 2*l**4 + 4*l**3.\nAnswer: -2*(l - 1)**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20368\/(-3952))\/((-5)\/65)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -100*p**3 - 10*p**2 - 5*p - 127. Let c(w) = 50*w**3 + 4*w**2 + 2*w + 64. Let o(z) = 5*c(z) + 2*i(z). Find the first derivative of o(a) wrt a.\nAnswer: 150*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 2*o**2 + 13*o - 5. Give j(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 658398, 658405, 658416, 658431, 658450, 658473, 658500?\n\"Answer: 2*o**2 + o + 658395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve k + 2 = 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -105, -150, -191, -228, -261?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2244 and 24948?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1156\/51)\/((-2)\/(-6)). Calculate the greatest common factor of t and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -160, -157, -152, -145, -136, -125, -112?\n\"Answer: p**2 - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*q**4 + 151*q**6 - 21*q**4 - 55*q**6 + 57*q**2 wrt q?\nAnswer: 11520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 3. Let i = -8729 - -8728.8. Which is the nearest to 0? (a) 4 (b) i (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40350 and 4842?\nAnswer: 121050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 1439 = f + 1426, -2*b - 3*f + 27 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -639 + 642. Let h = -11 - -7. Sort 5, u, h in increasing order.\nAnswer: h, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*((k - k - 4*k)*(-4 + 0 + 2) - k - k + 0*k).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 0.32539 (c) -1\/3 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 753256979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25.809 - -0.809. Which is bigger: q or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3 = 4*s - 21, 2*y - 10 = -3*s. Solve 4*t - 6 = -y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2917 + 2957. Let p be 1\/2 + 3\/(-2). Put p, r, -5 in decreasing order.\nAnswer: r, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -1\/40, 1\/2, -0.33, -16?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 2, y: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 43366*x + 260268.\nAnswer: -2*(x - 21689)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-12) - 9\/(-6). Let x = -0.861 - 0.139. Which is the nearest to i? (a) 2\/5 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89352 by 2.\nAnswer: -44676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 9. Suppose -i = 5*n + 989, 4*n - 185 = -3*i - 985. Let p = n + 787\/4. Sort 0.2, z, -3\/5, p in ascending order.\nAnswer: z, -3\/5, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*k**6 + 317*k**5 + 10*k**2 + k - 9?\nAnswer: -960*k**3 + 19020*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.5 - 10. Let l = 0.5 - w. Is l != 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/10 + 86\/10. Let b(n) = -n**3 - 7*n**2 - 4*n - 1. Let k be b(-7). Suppose 4*y = r + k. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335166402 to the power of 1\/3, to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n = -45403 + 11923. Calculate the highest common divisor of 48 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15087195 to the nearest integer?\nAnswer: 3884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 4. Let m(k) = -1042 + 521 - k + 524. Suppose -4 = -3*x - 19. Let s(l) = x*h(l) - 6*m(l). What is s(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (5 + 2 + -5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + -22. Calculate the remainder when 30 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 527, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 0 - (-20 + -4). Suppose y = 5*j + 5*n, -n - 3*n = -4*j - 20. Let l = -2.75 + -0.25. Which is the biggest value? (a) j (b) l (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 13*v**2 - 7*v - 52. Give f(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -7. Let f = a + 4. Let p(c) = -3*c + 2. Determine p(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 - 23*w - 14*w + 0*w**2 + 17*w to i + k*w**2 + p*w and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/3*726\/(-605). Which is smaller: z or 0.086?\nAnswer: 0.086","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2483885 + 2484193 = 22*s for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z*z**(-8)\/z*z*z)*z*z)\/z*z*z**(1\/4))\/(z**13\/z**(2\/11)) assuming z is positive.\nAnswer: z**(-113\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12316338, 12316321, 12316304, 12316287, 12316270?\nAnswer: 12316253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 z when two letters picked without replacement from vhhozvxvvhhxxhhxph?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 452.5 and -0.05.\nAnswer: 452.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, -2, 4, 0, 5, -1 in descending order.\nAnswer: 5, 4, 0, -1, -2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*k + 2*i, -4*k + i + 14 = -i. Let m be k\/(-1) + 0 + 2. Let l = -1.7 - -5.7. Which is the nearest to 1\/4? (a) l (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.8 - 1.7. Is u not equal to -23\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**4\/6 - k**3\/2 + 2*k**2 + 4*k. Let n(j) = -7 - 3*j**2 + 2*j - j**2 + 3*j. What is -3*n(u) - 5*t(u)?\nAnswer: 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 95*x = 80. Which is the second biggest value? (a) -1\/3 (b) 3.54 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4159 - -5266. What are the prime factors of h?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70*h - 3 + 14 + 67*h)*(-85*h - 50*h + 34*h)*(4 + 1 - 4)*(5 + 0 - 4).\nAnswer: 303*h**2 - 1111*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 40*j - 46*j. Solve -4 = j*l + l - n, 3*n + 2 = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38361138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - a - 1. Let d(o) = -7*o**2 - o - 1. Let y(p) = d(p) + 6*q(p). Let m be y(-5). Determine f so that -2*f**m - 14*f**2 - 4*f + 2*f + 10*f**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1. Suppose 2*u = y + 230 - 152, 0 = -3*y + 3*u - 249. Let x(f) = 2*f**2 - 22. Calculate y*j(i) - 4*x(i).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1) + -8 - (91 - 88)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0\/(((r*r*r\/(r*r**21))\/r)\/r))**(2\/25) assuming r is positive.\nAnswer: r**(42\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 198, 2, 304, -152 in descending order.\nAnswer: 304, 198, 2, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2024 + -10330032?\nAnswer: -10323003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 35 = k, 3*h = 21 - 6. Suppose -x - x + k = 0. What is the lowest common multiple of 16 and x?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1392 + -1154. Calculate the greatest common divisor of c and 560.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p = -2*x - 24, 3*p = -5*x - 8. Suppose -3*d + p*j = -37, -2*d + 2*j = 2*d - 46. Suppose 2*q - 1 = d. 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 b(y) = 9*y**2 + 13*y + 4. Let f be (16 + -4)\/(-3) - 2. Let u(v) = -5*v**2 - 7*v - 2. Determine f*b(p) - 11*u(p).\nAnswer: p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/67 or 6\/5?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -47057, -94116, -141175, -188234, -235293, -282352?\n\"Answer: -47059*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 0 - 2 + 2 - 41*o**2. Let c(p) = p. Give c(j(i)).\nAnswer: -41*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1485709946 and -1?\nAnswer: 1485709946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 452508.9 decades?\nAnswer: 4525.089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -3. Let v be ((-3)\/(-2) - 2)\/((-1)\/(-4)). Calculate the remainder when (3 - 2)*-4 + (v - -15) is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -4. Find the second derivative of -2*c**4 - u*c**4 + 6*c**4 - 2*c wrt c.\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -21. Find the common denominator of ((-86)\/(-22))\/(1 + d) and 95\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 15*y**2 + 2*y + 15. Suppose -s - s = 30. Let b be h(s). Is 990 - (6\/b - (-26)\/(-10)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/1 - 1) + 7. Suppose -2*w - f = 1. Sort w, 4, -1 in increasing order.\nAnswer: w, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10143831 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from jjwjqwwwbwwjbwwwwjw.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + w + 3 = 0, -4*w - 58 = 4*s - 42 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5501, 5492, 5483, 5474, 5465?\n\"Answer: -9*h + 5510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 9*q - 3. Let c(b) be the first derivative of -7*b**2 + 2*b + 1. What is the tens digit of c(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z - 4*z + z**2 - 2*z**4 + 7*z as x*z**2 + q*z**4 + o*z**3 + i + k*z and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 0*i - i + 0*i + 7*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 60437179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/16))**(-50)*j**(2\/39)\/j**(5\/6) assuming j is positive.\nAnswer: j**(-3169\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.185161008 rounded to 4 dps?\nAnswer: -0.1852","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1124 is divided by ((-14 - 89) + 28)*(-10)\/6.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -143*y + 115. Let v(r) = 212*r - 173. Let a(o) = -8*c(o) - 5*v(o). Is a(32) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 108 = 3*z + 4*t, -t = -2*z - 54. Let a = 59 + z. Let r = a + -16. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*w**4 - 11596859*w**3 - 262904197*w**2 wrt w.\nAnswer: 600*w - 69581154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36095624023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*u**2 + 0*u**2 - 8*u**3 + 3*u**2 wrt u.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1000\/(-150)*6\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -486\/5, 309?\nAnswer: -486\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -273004, -273001, -272998, -272995?\nAnswer: -272992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 167eaf - -1c?\nAnswer: 167ecb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-27)\/(-45)*1*-10 - -56651?\nAnswer: 5, 11329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44608684 take away -301755?\nAnswer: -44306929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.39944 litres to millilitres.\nAnswer: 399.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 + 0*s**2 - 3*s**3 + s**2 + 12*s**3 in the form u*s**3 + g*s**2 + d + v*s and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phhpahpa. What is prob of sequence ahh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1912844 and 1610816?\nAnswer: 30605504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 1084*v + 16. Let c be w(1). What is the units digit of c\/(-33)*(-156)\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/7 - 103196*x\/7 + 619212\/7.\nAnswer: -(x - 6)*(x + 103202)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + 17 + -8 + 29 - (-3 + -9).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -971 and 1.\nAnswer: -971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 4:15 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -294\/919, 2\/3, -5 in decreasing order.\nAnswer: 2\/3, -294\/919, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4\/9 - 3776*t**3\/9 - 35380*t**2 - 9136624*t\/9 - 87849178\/9.\nAnswer: -2*(t + 29)**3*(t + 1801)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3298928 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 946 = 3*x - i - 1047, 4*x - i - 2656 = 0. What is the remainder when x is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (41 + -41 - (-6 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/100)\/(2\/(-5)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-96)*-10*(-2)\/(6\/(-3)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13265 divided by 2653.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -28347 less than -28344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 101 - 2*z + 54.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/5))**(-13))**45*(((t\/(t*t*t**(1\/8)*t))\/t)\/t)\/t**(-8)*(t\/(t\/(t\/(t*t\/(t*t**(-3\/10))))*t))\/((t*t*t**(-2\/9))\/t) assuming t is positive.\nAnswer: t**(84887\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -0.07 (c) -1\/2 (d) -2 (e) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1\/4, -5, -239, 0, -0.3 in decreasing order.\nAnswer: 1\/4, 0.2, 0, -0.3, -5, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13*36\/(-12636))\/((24\/30)\/(3\/(-5)))?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*d - d**2 + 4*d - 12*d - 21*d.\nAnswer: -d**2 - 53*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8691 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from ttyutqqyuut.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17981 <= 5879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56 by -7204.\nAnswer: -14\/1801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -206 + 206. Let y = 162.9 + -156. Let u = y - -3.1. Do u and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392247207.\nAnswer: 3, 11, 3962093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -558*t - 64926. What is x(-116)?\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/22))**(-34)*(a\/a**(-5))**(14\/5) assuming a is positive.\nAnswer: a**(839\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4*x - 4 = 0, 2*w + 33*x - 10 = 31*x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55466420 by -11093284.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/12)\/(2\/75). Let l = 28 - b. Solve -4*r + 5*i - 26 = 0, 10 = l*r - 4*r + 3*i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 - 0.2. Let x = -7 - -7.4. What is the closest to x in r, -4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 28868?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7*-84565\nAnswer: -591955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -22\/15*u**5 + 4*u**2 + 0*u**4 + 0*u**3 - 5*u + 19\/120*u**6 - 1\/30*u**7 + 0. Find the third derivative of f(h) wrt h.\nAnswer: -168*h + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e26 - 3c?\nAnswer: dd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -479369371 divided by 13\nAnswer: -36874567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43806671*s**4*t - 8*s**2*t + 40*s**2 - 1247 wrt s?\nAnswer: -1051360104*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a*v**2 + 5057272*a - 2*v**3 - 1664689*v + 1 wrt v?\nAnswer: 2*a*v - 6*v**2 - 1664689","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z. Let l(q) = -q**3 - 6*q**2 - 7*q - 2. Let d be l(-6). Let x = d + -38. Let j(i) = -3*i + 22 + x*i - 22. Determine j(g(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -7. Suppose 3*k + 5*p = 2, p + 48 = y*k + 7. Is k at most 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1003571 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2149889?\nAnswer: 7, 419, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34385646871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -195*c**5 - 15859*c**4 + 9456545*c - 3?\nAnswer: -3900*c**3 - 190308*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 5*o**2 + 2. Let u be l(5). Let b(w) = -u*w**2 + w - w. Let a(j) = -36*j**2 + 118*j - 617*j + 123*j + 249*j + 127*j. Determine a(b(s)).\nAnswer: -144*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 13*f**2 - 1771*f + 15213. Calculate k(127).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17565015 less than 1.8977?\nAnswer: 1.72204985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 318 divide 88762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.083382.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1062, 2151, 3240, 4329, 5418?\n\"Answer: 1089*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 13) to base 4\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 minus 6?\nAnswer: -5.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - g = -0*h + 6, 6 = -4*h - g. Let d(q) be the third derivative of h*q**3 + 0*q + 9*q**2 + 0 - 1\/132*q**4 - 1\/330*q**5. Factor d(w).\nAnswer: -2*w*(w + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*s - s = -34*s. Solve -653*z + 657*z = s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -253, -257, -271, -301, -353, -433, -547?\n\"Answer: -h**3 + h**2 - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 165174356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 38, 38, 40?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 12:33 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*s**2 + 12090*s - 3022.\nAnswer: -2*(s - 1511)*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, o: 1, r: 1, v: 2}. Give prob of picking 1 v, 1 l, and 1 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 401564.8 kilometers to centimeters.\nAnswer: 40156480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72.2 + -72. Does 15\/4 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 32*j**2 - 41*j - 49. What is p(31)?\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(2\/7)*c*c**(-6))\/(c**(-1)\/c)**(-12\/7) assuming c is positive.\nAnswer: c**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z + 3*z - 54*z**2. Let p(y) = 15*y + 6*y - 23*y. Let m(x) = -2*x. Let s(j) = 4*m(j) - 5*p(j). What is n(s(q))?\nAnswer: -216*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 23, 51, 91, 143, 207?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48821 + 48821. Let z = -2\/45 + 14\/15. Which is smaller: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -23.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-6))\/((-5)\/(-10)). Let i be (-12)\/12 + h + -1. Let v = i + 2. Which is the nearest to 1\/4? (a) v (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3 + 303*c**2 + 2595*c + 2289 = 0. What is c?\nAnswer: -7, -1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -200 - 200 + 400 - 1054*f to t + v*f and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - u - 38 = 3, 4*l = 3*u + 35. Let m(q) = -9*q**2 - 9*q - 9. Let c(a) = -5*a**2 - 5*a - 5. What is l*c(j) - 6*m(j)?\nAnswer: -j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1556283689 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 z when three letters picked without replacement from zzzzzggggczgzzzgcg?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 10524*v**2 - 2*v**3 - 3506*v**2 + 4*v - 3513*v**2 - 3510*v**2. Let c(h) = 4*h**3 + 9*h**2 - 8*h. What is -4*c(q) - 7*j(q)?\nAnswer: -2*q**3 - q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(704) + 1 + sqrt(704) + -5 + (-3 + 3 + sqrt(11) + (sqrt(11) - -1*sqrt(11)*-3))*6)**2.\nAnswer: -160*sqrt(11) + 1164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + -43 + 37 + -14 + 1 + -13.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 634160011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -72, -113, -158, -207, -260?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17200272, 17200259, 17200230, 17200179, 17200100, 17199987, 17199834, 17199635?\nAnswer: 17199384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = v + n + 11, -3*v = 3*n + 9. Is v smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333853 is divided by 77?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -33*a**2 + 123*a + 122. What is h(-1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 9 - (2 - -8)) + (12 - 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 11034?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -3 (b) -0.06 (c) 56 (d) -0.3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99 divided by -5.\nAnswer: -99\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 304 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*5\/(-5)*-1 - 4899\/552.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27704.95 - 27040. Let g = i - 665. Sort g, -4, 0.01.\nAnswer: -4, g, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*q - 54*q = 786 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 13) in base 12?\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1071? (a) -71 (b) 2 (c) 0.1 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 8. Let c be b(-6). Suppose 4*m - 528 = 4*o, o = c*o - 1. Calculate the highest common factor of 19 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1630?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 229, -1, -0.5 in descending order.\nAnswer: 229, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 327*a*m**3 + a*m**2 + a + 5*m**2 wrt m?\nAnswer: 1962*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**4\/4 - 5255*c**3\/4 - 700181*c**2\/4 + 705435*c\/4 = 0?\nAnswer: -131, 0, 1, 5385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.4 + -3. Let f = 0.808 - -0.192. Sort 2, f, g in increasing order.\nAnswer: g, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 44*o**2 - 8*o - 240. Give d(-44).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 90163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 10) in base 16?\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q + 18*i + 34 = 22*q, -2*q - 3*i - 1 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**2 - 13808*q + 11916304 = 0. What is q?\nAnswer: 1726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2812556?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is -103788 > -104120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19787, -2\/21, 20?\nAnswer: -19787","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u + 13. Let d be i(4). Which is bigger: d or 5\/18?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0 - 5 = 0. Let p = -95 - -95.2. What is the second smallest value in i, p, 1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/272 and -33\/55760.\nAnswer: 55760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6074325017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*c - 30442 = 315619 - 74129. List the prime factors of c.\nAnswer: 2, 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7099085 at most as big as -7099082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 12*q - 34. Let k be x(3). Let b be (k - -12)\/((-50)\/26 - -2). Calculate the greatest common factor of b and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 + 4*j**5 - 2*j**5 + 108*j**3 - 108*j**3 + 96*j**5 - 2 + 2 - j**5 + (4*j**4 - 2*j**4 - j**4)*(4*j + 2 - 2).\nAnswer: 101*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - q - q - 4662, -3496 = -3*r + 2*q. Suppose -5*j + 1390 = 4*w - 1525, 2*j - r = -4*w. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66867494, 66867492, 66867490, 66867488?\nAnswer: 66867486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand n + 76*n + 37*n + 135*n + (-3 + 2 + 3)*(n - 4*n + n).\nAnswer: 245*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -886*s - 16 + s**3 + 12*s**2 - s**2 + 449*s + 444*s. What is t(-11)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 7)*(-1 + 1 - 1)*(-c - 2 + 6 - 3) as g + z*c and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -30*o**2 - 15*o + 30. Let i be k(25). Let t = i + 36512. Suppose 1512 - t = -5*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4620*y + 20. Let w be v(-6). What is w rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 5*q**4\/4 + q**3\/3 + 3. Find the third derivative of a(d) wrt d.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**5 - 18948*u**4 + 2626572*u**3 + 21922848*u**2 + 44452800*u = 0?\nAnswer: -4, 0, 150, 6174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 249 - 253.5. Sort -1\/5, -3, -0.5, y.\nAnswer: y, -3, -0.5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 5*i + 6. Let z be s(-6). Let v(u) = -u**3 - 7*u**2 - 14*u - 13. Let w be v(-5). Suppose o - w*o + 42 = z. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 237? (a) 0.4 (b) 375 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b. Let n be q(2). Let j = -161.83 + 8.83. Which is greater: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542 a factor of 801622945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 - 0.23. Let w = 89\/14 + -13\/2. Let o = 1.12 + -0.12. What is the smallest value in o, m, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -348 divided by -87\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-5) + (-8709914)\/2385. Let l = m - -3655. What is the common denominator of l and -113\/12?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3360 and 4116?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*b + 4352 = -4084. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12633, -101052, -341045, -808398, -1578897, -2728328?\n\"Answer: -12631*z**3 - z**2 + z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.26 + 0.26. What is the closest to 0.1 in 0.33, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.1 + 2. Let i = n - -1.1. Let w be -1 + 4*(-2)\/(-12). Which is the third biggest value? (a) i (b) w (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n = 151*n + 1170 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -2, -1\/62, 2.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 0*t**2 + 3*t**2 + 2*t**2. Let v(a) be the first derivative of -2*a**3\/3 + 623. Determine v(p(g)).\nAnswer: -50*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s - 11. Let d = 309 - 304. Give p(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1320 and 28.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 1056?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4771*q - 4768*q - 4767*q + 19049*q - 4764*q.\nAnswer: -21*q","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*p, 5*z - 164 = p + 4172. Suppose 3*t + 3*h + z = 0, 2*t + 254 + 318 = -5*h. Let b = 422 + t. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 + -0.11. Let c be (-30)\/(-25) + (-2)\/10. What is the nearest to k in -2, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x - 10. Let r be v(5). Suppose 6*j = -2 + r. Solve j*c = -0*c - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -153 - -234. Suppose z = -2*z + w. Suppose -z = -5*f + 58. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 + 9. Let w be h(2). Let a be (w - 0) + (-2583)\/(-7). Let j = a + -224. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**9\/10584 + w**8\/5880 + w**7\/2940 - w**6\/1260 - w**3\/3 + 6*w. Let n(o) be the second derivative of k(o). Factor n(z).\nAnswer: -2*z**2*(z - 1)**2*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17587 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22256070.\nAnswer: 2, 3, 5, 741869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61874194561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/3*(1 + 0)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 917 and 49?\nAnswer: 6419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4031723 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1510700 or -1510699?\nAnswer: -1510700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiiiiiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/4 - (-1 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13380 at most as big as 13380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 7 + -8 + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a - 1182 = -3210. Let l = a - -119. List the prime factors of l.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 20*y + 138. Sort -6, -133, y.\nAnswer: -133, -6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/7702500 and -89\/156?\nAnswer: 7702500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 147*k - 36. Suppose 0 = -4*f + 4*z + 8, 0 = -5*f + 4*z + 2 + 10. Let c be v(f). Is (-16)\/(-2) + -3 + c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 0. Suppose 2*p = p + z. Factor 0*u**4 + u**3 - 2*u**p + u**3.\nAnswer: -2*u**3*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1436, -4, -6, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 6*k - 2. Let j be g(-4). Let a(y) = y**2 - 2*y. Let m(s) = -3*s**2 + 5*s. Let f(w) = j*a(w) - 4*m(w). Let z(b) = 2*b**2. Determine z(f(c)).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133569 is divided by 264.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 1.317, 4, 3 in ascending order.\nAnswer: 1\/7, 1.317, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1027*c. Let d(u) = 14*u**2. What is d(h(a))?\nAnswer: 14766206*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1096374 - -1671757. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, m: 2}. Give prob of picking 1 j and 1 m.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -18*f. Let i(q) = 2*q**2 + 160. What is h(i(v))?\nAnswer: -36*v**2 - 2880","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 66*j + 351. Let p be t(-5). Solve p*n + 45 = 12*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 26, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6*s - 19. Calculate p(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -268 - -1570. What is the highest common factor of 42 and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -1.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*b = 39*b + 54. Solve -3*s = -4*r + 5*r + 9, -3*s = b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 376, 379, 396, 433, 496, 591?\n\"Answer: p**3 + p**2 - 7*p + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 - 41*o - 31. What is x(-21)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-11)\/(-2))\/((-2)\/(-4)). Suppose a*p - 5*p - 12 = 0. Factor 4 + 7*n**p - n**3 + 5 - 3*n - 12*n.\nAnswer: -(n - 3)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299960?\nAnswer: 2, 5, 7499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 49, 5, 2, -64, 4 in decreasing order.\nAnswer: 49, 5, 4, 2, -7, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 774322659 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5981*s**2 + 12509*s - 12508*s + 3 - 3 to i + r*s**2 + d*s and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1038*c**4 + 21272 - 21272)*(2*c - c + 2*c).\nAnswer: 3114*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/39 and -125\/2912?\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(20\/12 + 0). Suppose -3*l - 30 = 2*l. Let p be 13\/3 + (-4)\/l. Solve -30 = 4*r - 5*c, -2*r + r - p*c = -u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h. Let d(t) = -11*t + 1. Let m(n) = 5*c(n) - 2*d(n). Let l(k) be the first derivative of -k**2\/2 - 10*k - 54. Let i be l(-13). Calculate m(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -41017, -82024, -123031, -164038, -205045, -246052?\n\"Answer: -41007*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 340254 divided by 27\nAnswer: 12602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**4 - 2. Let p(n) = 2*n**4 + 3. Let k = -1 + -1. Let h be 5 + (k - (1 + -3)). Let v(y) = h*x(y) + 3*p(y). Differentiate v(i) wrt i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, y: 2, r: 3, d: 1, q: 3, t: 5}. What is prob of sequence tdtt?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 700, 1399, 2096, 2791, 3484, 4175, 4864?\nAnswer: 5551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 15*y - 200. Let k be t(14). Let a(b) = 166*b - 176. Is 40 a factor of a(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12539010 plus -0.239?\nAnswer: -12539010.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8318901*j**3*q + 71866*j**2*q + 51*j*q wrt j.\nAnswer: -49913406*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 365 (base 7) to base 10\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 22 - 6 - 10. Give x(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*v - 86*v - 18 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (5 - 5) - 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -19*n + 192. Calculate q(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/((-168)\/(-7))*(16\/58)\/2.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 681730 and 681730.\nAnswer: 681730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 4660345 = 4660721 for z.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13227 - -0.9271962.\nAnswer: 13227.9271962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 2 - 49*z**3 + 18*z**3 - 31*z**3 to d*z**2 + t + w*z + s*z**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -962852817 and 4?\nAnswer: 962852821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 516*f**2 + 17*f + 3. Is c(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k - 2608 = 4*k. What are the prime factors of k?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 165 - 25. What are the prime factors of b\/(-5) - 6\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -z - 4*z. Suppose 0 = -4*g - 3*p + 8 + 6, -2*p = -3*g + z. Solve g*d = -j + 9, 3*d - 1 + 0 = -5*j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 7. Let n(c) = 2*c**2 + c. Let r(i) = -1. Determine w*n(s) + 3*r(s).\nAnswer: -2*s**2 - s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24896 and 6848?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 450228 and 153612.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from {t: 1, m: 2, x: 3, l: 3, w: 9}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9 - (10 - 19))\/(-1). Solve 2*w - c + 15 = j, -4*w = -3*w - 2*c + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8621 and 159951.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6814948.43 rounded to the nearest one hundred?\nAnswer: 6814900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -17*s**3 - 8*s**2 + 103*s. Let n(f) = 6*f**3 + 3*f**2 - 34*f. Let j(q) = -3*l(q) - 8*n(q). Find the second derivative of j(m) wrt m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 - 14332?\nAnswer: -14410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q - 12. Calculate y(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 609114 and 726?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1523, 3068, 4613?\nAnswer: 6158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -13*q + 14. Let k be x(11). Let g = k - -261. Calculate the highest common divisor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -13*l - 50. Let n be s(-5). Solve n = 7*x - 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 11:01 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-21)\/7*(-9)\/(-3)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b - 8 = 9. What is the fourth biggest value in b, -5, 0.1, 22\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1815160 (base 9) in base 7?\nAnswer: -11422530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 4:19 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = g - 3*q, 5*g - 20 + 6 = 2*q. Find the third derivative of -4462*j**2 + 4463*j**g - 4*j**3 + 1 + 1 wrt j.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 10*j**2 - 3 + 5.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 185288\/32 + (-18)\/(-24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 81*z**2 - 3*z - 47. Let k(d) = d**2 + 3*d - 102. Let x be k(9). Is g(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*s**2 - 207*s**2 + 403*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 168107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**2 - 10*q. Let z(u) = 3*u**2 + 8*u. Let g(i) = 4*x(i) + 5*z(i). Let a(d) = -29*d. Give g(a(o)).\nAnswer: 2523*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9705 and 52452290.\nAnswer: 157356870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.8 and -1.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyjpj. Give prob of sequence ypj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 141.7 + -141.9. What is the third smallest value in 2\/39, m, -0.3, 4?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(85)\/(sqrt(5) - (sqrt(80) + sqrt(5))*-1) - -5*(1 + (sqrt(136)\/sqrt(8) + sqrt(17) + -3)**2).\nAnswer: -359*sqrt(17)\/6 + 388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -594323\/7 smaller than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/2 - 10*l - 69\/2.\nAnswer: (l - 23)*(l + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400707.\nAnswer: 3, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 266*y - 18*y + 4263 - 1287 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 923 divided by 1318\nAnswer: 923\/1318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*t - l, 568*t + 36 = 572*t - 4*l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1531.1 + -33.\nAnswer: -1564.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 5*q + 287 = 0, 0 = 2*q - 2224 + 2216 for p.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 2*a**3\/3 - 4. Let l(y) = -y - 5*y + 5*y. Determine l(m(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2\/9, -3\/8, 11, 31, -331?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 14*y**2 - 14*y + 6. Let i be d(-13). Suppose i*k + 45 = 14*k. Let a(x) = -x**3 - 10*x**2 - 8*x + 10. Calculate a(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -11) + (1 + -3 - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-184)\/(-13) - (-2)\/(-13). Suppose j = -3*l - s, -5*j + 5 = -3*l + 3. Let a = 1\/79 - -137\/1659. Put -1, a, l in decreasing order.\nAnswer: a, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d - 3*d = -1012581 + 144921. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 3*t - 18. Calculate h(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -239*x + 8. Is d(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6\/25 + 37\/50. What is the closest to v in 2, -0.14, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25383.3191 rounded to the nearest 10?\nAnswer: -25380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25 or 4481983?\nAnswer: 4481983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 24. Let h(g) = g**3 + 4*g**2 - 4*g - 2. Give h(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 > 2\/2261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -69\/2*r**4 + 93\/2*r**2 + 33*r + 21\/2*r**5 - 87\/2*r**3 - 12 = 0.\nAnswer: -1, 2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**5 - 71*d**4 + 92*d**3 - 51083*d**2 wrt d?\nAnswer: 120*d**2 - 1704*d + 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -37.8 and -2510082301?\nAnswer: 2510082263.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d - 136. Let g be m(-34). Let o(y) = 5*y**2 - 9*y**2 + 9 + y + 3*y**2. Calculate o(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*h - 224*h - 38123 = 36*h + 61*h for h.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73333 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 n when two letters picked without replacement from {a: 7, n: 3, o: 3, k: 1}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**5\/60 + 5*t**4\/24 + 7*t**3\/6 - 3*t**2. Let g be b(-5). Find the common denominator of g\/((-21)\/(-72)) - -1 and -85\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91583143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2 + 7*k - 7 + 1. Let v(x) = 15*x - 17. Determine 13*b(j) - 6*v(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10 - -3) + -4*(2 + -4). Which is the nearest to -1\/2? (a) x (b) -1\/5 (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 4*g**2 + 4\/5*g**5 + 0 - 8\/15*g**6 - 10\/3*g**3 + 2\/3*g**4 + 10*g + 2\/21*g**7. Factor k(c).\nAnswer: 4*(c - 2)*(c - 1)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 762839 is divided by 3406?\nAnswer: 3301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123832558*f**3 - 123832375*f**3 + 247664950*f**3.\nAnswer: 17*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -83179 equal to -83180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -65\/4*l + 63\/4 + 1\/4*l**2 + 1\/4*l**3.\nAnswer: (l - 7)*(l - 1)*(l + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g**3 - 78*g + 16. Let m(j) = -2*j**3 - 25*j + 5. Determine 10*m(l) - 3*q(l).\nAnswer: -2*l**3 - 16*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - 5?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**4\/6 - w**3\/3 - w**2\/2 + 4*w. Let u be x(2). Suppose u*z - 40 - 245 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -19262*w - 96350. Give k(-5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 4*a - 42, -15 = -d + 597*a - 600*a for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -41. Let m be 4\/(w\/(-2)) - 12. Let z(u) = 9*u**2 + 11. Let y(f) be the third derivative of -f**5\/20 - 2*f**3\/3 + 4*f**2. What is m*y(x) - 4*z(x)?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234, -240, -246?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 373534964 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/9 and 33\/487.\nAnswer: 4383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56973901 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**3\/3 + 3*i**2 + i - 1. Let a be x(-8). Suppose 5*p + 2 - a = 0. Solve -s = 2*s + 2*f + 5, 3*s - p*f + 15 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1028*y + 21 + 3269*y - 281.\nAnswer: 2241*y - 260","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -14. Find the third derivative of 0*p**2 - 4*p**3 - 2*p**2 + 10*p**b + 4*p**2 wrt p.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*b + 470 = 0, 0 = -2*b - 10. Let y = u + -2963\/6. Suppose -3\/2*q**3 + 0 + 5\/6*q**4 - 1\/3*q - 1\/6*q**5 + y*q**2 = 0. What is q?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.27598 tonnes to milligrams.\nAnswer: 8275980000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1042287 to the nearest integer?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -479931224.\nAnswer: -479931223.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 184 - 183.7. Suppose 0 = -m + 2*v - 2, 3*m - 4 - 1 = -5*v. Put -5, a, 2\/7, m in descending order.\nAnswer: a, 2\/7, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 + -27399384748733.\nAnswer: -27399384748721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/10)\/(2\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -792, 5566, 16164, 31002?\n\"Answer: 2120*d**2 - 2*d - 2910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.1050617 minutes?\nAnswer: 6303702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -11141322?\nAnswer: 11141325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**4\/24 - m**3\/6 - 2*m**2. Let w be b(5). Suppose -3*h - w + 10 = 0. Solve -h*s + 2 = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - ((13 + -37 - -1) + 9 + -67)) + 9?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 77\/(-35) - -2 - (-16)\/5. Solve -4*v + f*y - 4*y = 0, -3*y = 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l + 5*l - 3 - 5*l. Let b = 3913 - 3903. Let i(g) = 7*g + 7. Give b*x(h) + 4*i(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -349\/77 - -53\/11. Which is smaller: p or 522?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**3*c)\/c))**(2\/3)\/(c**2)**(-9\/7) assuming c is positive.\nAnswer: c**(26\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-28))\/((-2)\/(-4)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10674126 and 26652.\nAnswer: 21348252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -39) + (17 - (23 - -2))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 391 = -609. Let z be (-20)\/5 - d\/2. Suppose 26 = -5*j + z. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 448216\/6377 + -4\/6377. Suppose 3*s - f = f - 206, 3*s + 208 = f. Let x = s + p. Put x, 0, 3 in decreasing order.\nAnswer: 3, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 5*x**2 + 4*x - 1. Let s be u(-5). Let q = 35 + s. What is the remainder when 40 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 179*f - 184*f + 8 = 0, 0 = -2*j - 5*f + 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*(sqrt(84) + ((2*sqrt(84) - sqrt(84)) + sqrt(84) - sqrt(84))*3))\/(sqrt(144)\/sqrt(972) - 2*sqrt(300)).\nAnswer: 36*sqrt(7)\/89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 38 = -1396*h + 1401*h, 0 = 12*q - 5*h + 227 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000040161 to seven dps.\nAnswer: 0.0000402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - a + 0*a = -5, -11 = -5*o + 2*a. Does o = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**0*r)\/r)**29\/(r*r*(((r*r*r**(-5))\/r*r*r*r)\/r)\/r*r**0) assuming r is positive.\nAnswer: r**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + -117)*(-145)\/(-58). What is d rounded to the nearest ten?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 151.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -226123620*g**3 - 142*g - 38041.\nAnswer: -1356741720*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -588.166.\nAnswer: 588.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/49911 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0 = -1. Let f be (-46)\/207 + (-562)\/(-18). Suppose f = 7*s + 38. Sort -3, 13, s, u in descending order.\nAnswer: 13, u, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2612 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78 + 79. What is the fourth biggest value in 3, -5, 7, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12, 7, -8, -39, -92, -173?\n\"Answer: -s**3 + s**2 - s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4*k + 2, -u - 11 = -5*k + 2. Suppose -430 = -5*s - 5*n, -3*s = -u*s + 4*n - 80. Is 22 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 297*t = 300*t - 30. Let g(x) = x**3 - 11*x**2 + 15*x + 19. Does 16 divide g(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/5085010 and -67\/871716.\nAnswer: 30510060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4532 - 587 = s - 4*d, -d = -2*s + 7925. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 350618941 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12125608?\nAnswer: 2, 11, 137791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30980 - 6968 + 33624 = -3202*o for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 613313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 2*k + 31. Which is the closest to -1? (a) k (b) 8\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 167 + 90. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 271 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 0)\/(22 - (-2662)\/(-132)). Solve 2\/11*f**2 + i*f + 4\/11 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4 + 26. What is the lowest common multiple of 12 and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10175 + 10180. Sort 64, -1\/3, y.\nAnswer: -1\/3, y, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*w**2\/25 + 966*w\/25 - 242\/25.\nAnswer: 2*(w + 121)*(4*w - 1)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -770*d**3 - 748*d**3 + 1515*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -318, -227, -116, 9, 142, 277?\n\"Answer: -a**3 + 16*a**2 + 50*a - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 245944256 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t\/t**(-1\/4))\/t)**(1\/64))**50)**7)**44 assuming t is positive.\nAnswer: t**(1925\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2*k = -7 - 5, 5*y = k - 15 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 214019 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s**3 + 4*s**2 - 4*s - 3. Let w = 5 - 8. Let r(a) = 5*a**3 - 3*a**2 + 3*a + 2. Let p = 23 - 27. Determine p*r(u) + w*n(u).\nAnswer: -2*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14812731121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 12*n + 26 = 0. Let a be 58\/18 + 6\/(-27). Find the third derivative of -2*g**2 + 10*g**2 - g**n - 13*g**a + 3*g**2 wrt g.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -11303?\nAnswer: -5651.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1029*z**2 + 0*z + 0*z + 1624*z**2 in the form u*z + b + a*z**2 and give a.\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(500)*2 - sqrt(500)) + sqrt(500) + sqrt(500))**2 + (-5*sqrt(500)*-2 - sqrt(500)))*-2.\nAnswer: -180*sqrt(5) + 36000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a**2 + 165*a + 275. Let j(i) = -3*i - 5. Let c(d) = 220*j(d) + 4*y(d). Let o(x) = x**2 + 5*x**2 - 2*x**2. Calculate c(o(v)).\nAnswer: 320*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6020\/(-300) + 20)*(-20)\/(-6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -58*u**2 + 7*u - 7. Let t(y) = 19*y**2 - 2*y + 2. Suppose 5*p + 9 = -10 + 9. Calculate p*z(n) - 7*t(n).\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2592 + 68384 = 670*g + 1136*g + 776 for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -10, 0.2, 4, -5, 249?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (38 + -1)*60\/10. What is the highest common divisor of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34506 and 57186.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25\/4, 0.2, -1\/3, -14 in increasing order.\nAnswer: -14, -1\/3, 0.2, 25\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)\/a)**(-5\/12)*a**(2\/11)\/a*a**0\/a*a**4*a**(3\/5)*(a\/a**(-1))**(2\/23) assuming a is positive.\nAnswer: a**(28759\/7590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/(-21))\/((-2)\/(-150)). Let o = 111 + i. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a day in seconds?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 129\/3034?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101 - 87. Suppose 3*s - 17 = 19. Is j greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 33 = -59*b + 55*b, -3*i - b = -3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67259988*h**2 - 165846010.\nAnswer: -134519976*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - -5*(sqrt(136) + sqrt(136)*-2))\/(-4*-1*sqrt(8)))**2 - (((1 + sqrt(612) + sqrt(612) - sqrt(612)) + 3)**2 + -1).\nAnswer: -610 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -78 + -7 + -18 - 13\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - 44. Let u = l + -0.4. Let f(m) = -m - 2. Let d be f(-5). Sort d, u, -0.1 in decreasing order.\nAnswer: d, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (54 - 138) + -108 - -81\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100110000100010111 + 10?\nAnswer: 111100110000100011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136 and 856528?\nAnswer: 856528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + -15. Let k be ((-7)\/(-63)*p)\/((-1)\/(-30)). Let c = 107 + k. Find the common denominator of c and 68\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-6 - 1) + (18 - (-4 + -19)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(468) - (5 + (2*sqrt(468) - sqrt(468)))) + sqrt(468) + (sqrt(468) - -2*sqrt(468) - sqrt(468))*2 + 2*sqrt(468) + -5 + 2)**2.\nAnswer: -252*sqrt(13) + 22941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4680 is divided by 1541.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 99, -8, 2, 0, -2 in decreasing order.\nAnswer: 99, 2, 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-385)\/(-1848))\/(10\/(-36)) + ((-1305)\/20 - -1)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 162.2 and -2.1?\nAnswer: -340.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*2\/(-2)*1. Find the second derivative of -2*d**4 + 2*d**4 - d**4 - y*d + 4*d**4 wrt d.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 25127235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 5 - (-4)\/(-1). Which is greater: 12\/5 or d?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7*z**2 + 1 + z**3 + 6*z - 1 + 4. What is the tens digit of a(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/24)\/((-53)\/(-424)). Suppose -f + 61 = 4*d - 3, -x = d - 4*f. Let j = -10 - -18. Calculate the remainder when d is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94844464 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = i + 4, -3*w - 77*i = -82*i + 34 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3145567 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = b - 5*b + 5*i, 2*b + 5*i + 4 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**4\/12 + 17*f**2. Let i(l) = -2*l**2 + l. Calculate i(o(v)).\nAnswer: -8*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2495.077 years?\nAnswer: 249.5077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 138018050327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000054 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -2*m**3\/3 - 18. Let q(b) = 14*b**2. Give q(f(n)).\nAnswer: 56*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12.1 and -77.\nAnswer: -64.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 41, 55\/2, 3, 2, -1?\nAnswer: 55\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344786 - 0.4.\nAnswer: 344785.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*m + 3*m. Suppose 5*u - m = 4*u. Is 5 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1*w**7)\/(w*w*((w**(-3\/4)\/w)\/w)\/w*w**(-5)))\/((w*w**(2\/3))**29)**(-16) assuming w is positive.\nAnswer: w**(9457\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.14*0.4\nAnswer: -0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 2\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413510 is divided by 2339?\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4 + 29*y**3 - 114*y**2 - 836*y - 968.\nAnswer: -(y - 22)*(y - 11)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 188045996 and 376091992.\nAnswer: 376091992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1178.7, 4, -2 in descending order.\nAnswer: 4, 0, -2, -1178.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31108 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 573775 (base 8) in base 3?\nAnswer: 100212212211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-72)\/(-15)*25\/10. What is the highest common factor of x and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*d = -55*d - 1530. Suppose 0 = 323*s - d*s - 51. Solve 2*x + 0*x = -2*f, 2*f - s*x = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(468) - (1 + sqrt(468)))*3)**2 + (sqrt(117) + -1 + -5)*1.\nAnswer: 3*sqrt(13) + 138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -811, -1620, -2429?\nAnswer: -3238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/8, 14480, -2\/7?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4*f = -22, 2*o + 12 = 3*f - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-34))\/(6804\/2916)\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1533425?\nAnswer: 5, 83, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 3 = -5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3429\/13 + -264. Do 0 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157052, -157062, -157072, -157082, -157092?\nAnswer: -157102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1431 + 1432. Let f(h) be the first derivative of -6*h + 3\/2*h**2 - 5\/2*h**6 + 3*h**4 - 24\/5*h**5 + 10*h**3 + v. Let f(x) = 0. Calculate x.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55578\/47 >= -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -893, -822, -751, -680, -609?\n\"Answer: 71*u - 964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 + 18*y**2 - 212 + 63 + 75 - 2*y**2.\nAnswer: 16*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315) - (sqrt(315) - (sqrt(315)*-2 - sqrt(315)))) + (5*(sqrt(315) + sqrt(35) - sqrt(35)) - sqrt(35)) + sqrt(35))\/((6*sqrt(126)\/sqrt(6))\/sqrt(3)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37808053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 98\/28*12\/14. Suppose 3*j + v*s + 2*s - 698 = 0, 0 = 3*j - s - 710. What are the prime factors of j?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -976 at least -970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13393 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -2, -4, -3 in increasing order.\nAnswer: -4, -3, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**3\/3 + 14. Let m(o) = 2*o. What is m(l(d))?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158252 or -158254?\nAnswer: -158254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 29. Let i(u) = -32*u - 2095. Let q be i(-66). Calculate d(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 - w**3 - 6*w**2 + 6*w**2 + 2*w**2 + 0*w**3 + 35*w**2 to the form u*w**2 + p + q*w**3 + c*w and give p.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21847667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (587 + 182 - 76 + 932 - 245)*(1 - 16*u**2 - 1).\nAnswer: -22080*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3135360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from {l: 2, s: 1, r: 1, g: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 210 - 820 = i, 3*i - 5*y = -1851. Let p = 872 + i. Suppose -2*z = 3*z + 5*t - p, z - t = 40. What is the remainder when z is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(300) + sqrt(300) + -2 - (sqrt(3) + 3 + sqrt(6)\/sqrt(2) - ((sqrt(3) - sqrt(3)*1) + -3)))**2.\nAnswer: -448*sqrt(3) + 2416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 10*b**2 - 7*b + 9. Let z(v) = 3*v**2 - 2*v + 3. Let u(r) = -2*j(r) + 7*z(r). Let w be u(0). Solve -w*p + 2*p - 3 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6207\/4*x**2 - 2907\/2*x**3 - 105\/2*x**5 + 1977\/4*x**4 - 45 - 381*x = 0. What is x?\nAnswer: -3\/35, 1\/2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 - 9*p + 11. What is b(6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 496077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2868607 - 1956607. What is o rounded to the nearest ten thousand?\nAnswer: 910000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 94650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113 by 7.\nAnswer: 113\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/((-6)\/3) + -1. Suppose -5*o + 4*o + 16 = 0. Let l = o + q. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6259200 and 1300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 92563285 a multiple of 524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1107 - 1106.7. Let w be 2\/(-5)*(1 + 48\/(-68)). What is the second biggest value in w, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (2 + -5)) + -25 + (-11 - -30).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/5 + 4*d**3\/5 - 44*d**2\/5 - 96*d\/5.\nAnswer: d*(d - 6)*(d + 2)*(d + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/20414 and 13\/1384.\nAnswer: 81656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-7) - (-406)\/(-49). Let k = a + 11. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50205 divided by 3?\nAnswer: -16735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pipieoptpoikpieit. Give prob of picking 1 k and 1 o.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -21 (b) -3 (c) -1.61 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.1 + 2. Let u = -7.1 - v. Let s = -6.8 - u. Sort s, -0.1, -2 in ascending order.\nAnswer: -2, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 33070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/38811 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 0*z + 3*z)*(-4*z + 4*z + 0*z - 5*z)*(-3747*z**2 - 90*z**3 + 3747*z**2).\nAnswer: -450*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(2\/5)*d*d)**(-2\/11)*d**(-4)*d**5 assuming d is positive.\nAnswer: d**(29\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-2577784.83\nAnswer: 1031113.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3 - 46*o + 5*o + 3. Let m(h) = 7*h. Calculate -34*m(x) - 6*p(x).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18593693317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -0.4 (b) -0.5 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (-2 - (-16 + (4 - -6)))) + (-3 - -1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -562\/73235?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40\/(-60) - 16\/(-6). Let j be ((-40)\/15)\/k*-3 + 1. Solve 13 + 7 = j*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19\/(-76) + -22*(-6)\/16. List the prime factors of 352\/12 - n\/(-12).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -9. Suppose -3*s - y*s + 44 = 3*c, -2*s = 5*c - 10. What is the least common multiple of 40 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -1\/5, -1, -4, -0.35?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -504.31 != -7\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a4 - 2?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 237011826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-300)\/(-4)*(-121)\/1104. Let w = p - -110\/23. Find the common denominator of w and -91\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or -129?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7104 + -7103.77. Which is the nearest to -1\/2? (a) 13 (b) -4 (c) -2 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 21546, 5, 2\/5?\nAnswer: 21546","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: What is 1\/20 of a century in months?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -78*n + 75*n + 21. Let a(m) = -m**2 + 11*m + 14. Calculate the remainder when 78 is divided by a(n).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, r: 4, m: 2, a: 3, i: 1}. What is prob of picking 2 r and 1 m?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24195181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5256, 4162, 1178, -4650, -14276?\nAnswer: -28654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 360111, 720269, 1080427?\nAnswer: 1440585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/5)\/d*d**(-6)*d\/(((d*((d**(-5)\/d)\/d)\/d)\/d)\/d)*d**6*d**(-5)\/(d**(3\/5)*d)*((d\/(d\/(d*d**(-5))))\/d)\/d**(2\/7) assuming d is positive.\nAnswer: d**(-87\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**5\/35 - 3*i**4\/28 + i**3\/21 + 3*i**2\/14 - 2*i\/7 - 65. Factor y(z).\nAnswer: (z - 2)*(z - 1)**2*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27594111 from 5061.6.\nAnswer: -27589049.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -9*p. Let r(m) = -13*m. Let h(g) = -6*g. Let x(k) = -7*h(k) + 3*r(k). Give x(y(c)).\nAnswer: -27*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 53908010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1.2. Let g = 0 - y. Let x be (-24)\/9 + (-1 - -2). Which is the third biggest value? (a) x (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.37 + -3.3. Let s = 579 - 579.028. Put d, s, -1\/2 in descending order.\nAnswer: d, s, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwwwwwwqwwqwww. What is prob of picking 2 w and 2 q?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20 - 25 - -2*202. What is the greatest common factor of i and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576*j - 4*s = -575*j - 8, -s = -3*j - 28 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4\/4 - 3*f**3\/2 - 52449*f**2\/4 + 13113*f + 57316923.\nAnswer: 3*(f - 94)**2*(f + 93)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2765069\/399 - 6930. Put -4, -1\/2, d in increasing order.\nAnswer: -4, -1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 451.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 116027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6)*(4 - 7) + -2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/18*(1 + -4). Suppose -39 = -3*s + r*w, -s + w + 3*w = -3. Calculate the greatest common divisor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2, 0.01.\nAnswer: -2, 0.01, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = -6*t - 444. Let o = t - -113. Solve -o = -4*k - 32 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15780 - -41?\nAnswer: 15831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/((-2288)\/99)*(-16)\/(-12))\/((-54)\/(-4392)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39891, -79722, -119563, -159420, -199299, -239206, -279147?\nAnswer: -319128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4395 + 3?\nAnswer: -4392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 35 + -74c?\nAnswer: -717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 12:25 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - -5)\/(-2*1). Suppose a = -i*a + 4. Suppose -k - a*l = -45, -k + 3*l + 39 = 4*l. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14230 by -4419.\nAnswer: -14230\/4419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 57373446 to the power of 1\/2, to the nearest integer?\nAnswer: 7575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 3, 273803, 4 in decreasing order.\nAnswer: 273803, 44, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28544 and 1115.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 14 - 13) + -6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 3*f**2 - 2*f - 3. Let y be w(-3). Let v(u) = -9*u - 13. Let n(h) = -4*h - 17. Let x(l) = n(l) - v(l). Calculate x(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 3 = -2*a. Suppose 5 = -a*r - 4*q + 1, -2*r + 4*q = -12. Suppose -96 = -r*m - 2*m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1243 by -85.\nAnswer: 1243\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4695*w**2 - 14099*w - 17. Calculate l(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 9432, 1\/2, 174 in decreasing order.\nAnswer: 9432, 174, 1\/2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbbbfefeb. Give prob of sequence bebe.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13012 + -12?\nAnswer: 13000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4294370 rounded to the nearest ten thousand?\nAnswer: -4290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 317282.\nAnswer: 3172820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4539108 + 230315.8.\nAnswer: -4308792.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -358 + 1072\/3. Which is greater: -240 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w - 5. Let g be h(4). Solve 3*x + 2*a = x + 8, a = -g*x + 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sees when four letters picked without replacement from {s: 4, e: 14}?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 47*s + 5292. Calculate m(-100).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9293 - 33?\nAnswer: -9306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 49*g**2 + 16*g - 2 - 96*g**2 + 46*g**2. Calculate the remainder when k(11) is divided by (4\/(-8))\/((-1)\/22).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g = -10*g - 474. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 - 4*i**2 - 5*i - 10. Let t = 69 - 72. Calculate the remainder when 63 is divided by s(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*s - 19 = 0, c - 2*s + s = 1. Solve -c*d + 3*z = 3, 2*z - 3 - 8 = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((-6 - -14) + 1 + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-8)*-10 - 2. Let c(l) be the third derivative of 7*l**4\/24 - l**3\/6 - l**2. Let p be c(o). Solve -5*s + p = 0, 2*s + 3*s - 32 = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 307.48 - 312.48. Let t = 1 - -4. Which is the closest to -1\/3? (a) t (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a week in minutes?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005276 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2\/9 - 21809960*u\/3 + 118918588800400 = 0. What is u?\nAnswer: 32714940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-2))\/((-2)\/4). Let j = 624 + -606. Solve -6*c = -2*c - 2*x - j, m = c + x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -26150, -26152, -26154, -26156?\n\"Answer: -2*a - 26148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15\/(-5 + 2) - -12 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-39 - 3)\/(90\/(-15)). Solve 56 = t*i + 63 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 0, 10, 30 in decreasing order.\nAnswer: 30, 10, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 415*u + 5470424 - 5489929 for u.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 122422324?\nAnswer: 122422331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 47.12805m?\nAnswer: 47128050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3*f**2 - 7*f - 54 = 0. Calculate f.\nAnswer: -6, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -p**4 - 1655*p - 4030.\nAnswer: -4*p**3 - 1655","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, t: 9}. What is prob of picking 1 a and 2 t?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6229453403887\/24 + 259510848212. Let r = p - -49700494. Let x = r - -9793. Find the common denominator of 67\/10 and x.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 8*y + 0*y + (2*y + 3*y - 3*y)*(2 - 1 + 1))*(3*y**3 - y**3 + 15*y + 49*y).\nAnswer: 14*y**4 + 448*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16614 a multiple of 213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-25))\/((-3)\/15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*d*t**2*w + 347*c*t**3 - 5*d - 7*t**3*w + 574*t**2*w wrt c.\nAnswer: d*t**2*w + 347*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -12. Let d(u) = -u**2 - 11*u - 11. Let b be d(k). Suppose 0*r = r - b. What is the remainder when 67 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-1)*(49\/14 + -4). Is v greater than -1\/338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 - 4*i**2 - i**2 + 18*i**2 - 9*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4abc - c?\nAnswer: 4ab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-10) - (-104)\/10. Suppose -21*y + 32*y = 1155. Let x be y\/m - ((-3)\/6 + 1). Solve 35 = 5*i + x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9\/16 of a week?\nAnswer: 5670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -12 + (-9 - -10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/9 + (-488)\/(-72). Suppose 4*t = 15 - h. Solve -3*j + 2 = -t*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-900)\/3240 + (-4)\/18). Let f = 3.8 - -0.2. What is the nearest to 12 in f, -0.1, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1705, -3383, -5061, -6739, -8417?\n\"Answer: -1678*t - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - s**2 + 4*s**2)*(-3*s**2 + 7*s**2 - s**2) + (3 - 3 - 2)*(-3*s**4 + 4*s**4 - 3*s**4).\nAnswer: 10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 77 = -11*r. Suppose 1548 = -r*v + 43*v. List the prime factors of v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10 = -15. Let c = t + -3. Suppose 0 = -5*x - 4*k + 72, 6*x - 3*k - 39 = c*x. What is the highest common divisor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9297614 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 8*j**2 + 13*j + 11. Let v be y(-5). Let k be ((-28)\/v)\/(4\/(-6)). Suppose k*c = 4, -1130 = -l + c - 453. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 897225816 to the nearest integer?\nAnswer: 29954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-130)\/1690*(-39)\/5.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 525*w**4 + 200*w**2?\nAnswer: 12600*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d = 8371 - 27883. What are the prime factors of d?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 3:38 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 0.2018?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11758 is divided by 2935?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/3 + 4335\/9. Let z = -218 + -106. Let t = i + z. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89815, 89810, 89805, 89800, 89795?\nAnswer: 89790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o + 30 = 0. Suppose o + 6 = 3*r. Let g be 18\/4 - 2\/r. Solve 0 = g*a - 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1794*s**4 + 10*s**2 - 73 wrt s?\nAnswer: 43056*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21513749 - -21513677.000188. Let c = z + 72. What is c rounded to five dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41589871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608 less than 72394\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11947*n + 12468*n - 33865 = 0 for n.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1599516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**(2\/5)*z)))\/z*z)\/((((z**16*z)\/z)\/z)\/z*z) assuming z is positive.\nAnswer: z**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 2*s + 4. Is s\/(-5)*(-1 + -144) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.6076 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1055877?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(76))**2*-3 + -1.\nAnswer: -1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 2746961?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*o + o - 3*o)*(0*o + 2*o - 3*o) + o**2 - 6*o**2 + 2*o**2 + (o + 0*o + 2*o)*(-4*o - 5 + 6*o - 4*o) to the form u*o**2 + n*o + c and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 9:14 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + 7. Let o be ((-17)\/(935\/48))\/(1\/5). Let k = -107\/22 - o. What is the closest to k in l, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.219*0.06.\nAnswer: 0.01314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -720 - -1054. Suppose 3*v - 2*h - 248 = -h, -4*v + x = -3*h. What are the prime factors of v?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 49. What is the smallest common multiple of p\/14 - (-8)\/28 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 13*o**2 + o. Let m(y) = -1989*y**2 - 5*y. What is -m(w) - 5*v(w)?\nAnswer: 1924*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3267)*-1 - sqrt(3267)) + sqrt(3267))\/(sqrt(324)*-2).\nAnswer: 11*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*u + 30, 5*z + 0*z - 3*u - 10 = 0. Solve 5*y - 3 - 4 = -4*q, z*y - 4 = -3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -166 - -167. Is (19\/(-57))\/(0 - i\/1635) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.5 (b) -1\/4 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 248183 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9332 + -9299. Calculate the remainder when 1715 is divided by v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36645315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 7:06 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 23 (b) -4\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -111011001 (base 3) in base 15?\nAnswer: -2c91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2565, 5126, 7689, 10254?\n\"Answer: c**2 + 2558*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 greater than 350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*s - 346 + 304 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -16*m**2 - 3946 + 3946. Let a(h) = -3*h. Calculate a(q(y)).\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(19))*-2 + 4)**2.\nAnswer: -24*sqrt(19) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 1. Let j(z) = 180*z - 118*z - 84 - 104*z. Calculate -j(o) + 84*m(o).\nAnswer: -42*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-2)\/(-5))\/(42\/(-105)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1908 and 2968.\nAnswer: 26712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**2\/s*s)*s)\/s)\/(s*s**(-6)*s*s*s)*s*s**4\/s*s\/(s*s*s**0*s*s)*s)**43 assuming s is positive.\nAnswer: s**129","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**1*z)\/z)**1*(z\/(z**(-5)*z))\/z**(-2\/9))\/((z\/(z*z\/z**(2\/7)*z*z))**26*(z\/(z*z**5)*z)\/z**(-2\/15)) assuming z is positive.\nAnswer: z**(25408\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2 - 98*z + 11. Let t be r(22). Let w = t + 1602. List the prime factors of w.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 9:42 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n**3 - 2*n**2 + 2*n. Let v(f) = 190*f**3 - 55*f**2 + 55*f. What is 55*j(u) - 2*v(u)?\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0014 (b) -2 (c) 0.0162\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7995*p + 60 - 31 - 29)*(1 + 2 - 4).\nAnswer: 7995*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2. Suppose 4*s = 9*s - 155. Suppose -4*b = 61 + s. Let o = b - -24. Give d(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3346, -3337, -3322, -3301, -3274, -3241?\nAnswer: -3202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 5*q - 5, 8*q - 3*q = i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1002868, 1003057, 1003372, 1003813, 1004380, 1005073, 1005892?\nAnswer: 1006837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16842, 16827, 16814, 16815, 16842, 16907?\n\"Answer: 2*d**3 - 11*d**2 + 4*d + 16847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/18? (a) 5 (b) -0.26 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-30 - -16) + 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4622*n**3 - n**2 + 9*n - 4928983 wrt n?\nAnswer: -13866*n**2 - 2*n + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 186 and 2139?\nAnswer: 4278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10467645 divided by 5\nAnswer: 2093529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 980459?\nAnswer: 980459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**4\/4 - 10*m**3\/3 + 3*m**2\/2 + 6*m - 5. Let b be z(9). Let p = b + 100. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2078244 divided by -108\nAnswer: -19243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*j + 143*j + 360 + 3658 = 0 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9080 and 78700?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 19*s**2 + 94*s + 61. What is the tens digit of v(22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + -34. Suppose -y*d + 183 = -76. Is 30 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -5*w + 6, 2*w - 8*r = -3*r - 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 5*c - 40. Suppose -4*m = 2*j + 10, 0 = 2*j - 5*m - 18 - c. Suppose 1\/2 - 1\/2*p**2 - p**j + p = 0. Calculate p.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 750 = 3*v - 1905, 8*d = 3*v + 7157. Solve 893*g - d*g = -7 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)\/((p\/(p\/(p*p**(-1\/4))*p*p))\/p))**(-1\/37) assuming p is positive.\nAnswer: p**(11\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 285*a**2*o**2*t**2 - 4*a**2*o*t - 5*a**2*t**2 - 6*a**2*t + 2*a*o*t - 209*o**2*t**2 + 3 wrt o?\nAnswer: 570*a**2*t**2 - 418*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (2 + -98))\/1. Suppose -4*s + a = -5*j - 98, -4*s + 4*j = -192. Let y = s - 29. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**14*r**(-1\/46))**(-17) assuming r is positive.\nAnswer: r**(10183\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001975149585 to five decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(300))**2 + 3 + sqrt(300).\nAnswer: 30*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-1 + 2) - (0 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 310193 and 14049?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -1. Let c = -1 - 1. Does c = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (16274\/(-515))\/((-2)\/745) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*z + 122 = -149*z + 191*z - 142 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 2 = -2*a + o, 9 = -3*o. Suppose h - 7*w = -3*w + 10, a*w - 19 = -4*h. Solve -s + 5*y = 2*s + 23, y = 2*s + h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5424*a + 37 + 5424*a - a**3 + (2*a + 0 + 0)*(0*a**2 - a**2 - 7*a**2) - 2*a**3 + a**3 - a**3 - 2*a**3 - a**2 + a**2.\nAnswer: -21*a**3 + 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 - s**3 + 8*s - 28*s + 6*s + 13*s + 1. Is h(-3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 11*s - 5. Give h(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 11:23 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 126\/(-312) + 2\/8. Let j = -1\/74 + -35\/148. Which is the closest to 0.2? (a) j (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 + 46*r - 23. Determine u(-23).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9657.43cm in kilometers?\nAnswer: 0.0965743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*w - 4*w - 9*w.\nAnswer: -31*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 253664794 less than -18.95?\nAnswer: -253664812.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31)\/2883)\/(((-2)\/32)\/(21\/28)).\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -21. What is the closest to -0.4 in 1\/3, a, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24.7 - 25. What is the biggest value in 2, t, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 74 = -17*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71767 or -71927?\nAnswer: -71927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d - 22*d = -56*d + 70. Let o(x) = -x**3 + 16*x + 2*x**2 - 4 + 2*x**2 - 11*x. Calculate o(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2496662780?\nAnswer: 2, 5, 29, 73, 58967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (12*(-3)\/(-198))\/((6\/1551)\/2)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2*212\/(-16)*1 and 2\/(16*(-2)\/(-69)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -20*o**3 + 9*o**2 - 5*o - 24. Let q be y(9). What is q rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1317544?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 11) to base 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22*(-59 + 56 + (-19)\/(-2)). Let q = 152 - w. Calculate the smallest common multiple of 240 and q.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 130 + -179. Do -48 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m. Let f(p) be the second derivative of -p**5\/40 + 33*p**3\/2 + 3*p - 34. Let i(q) be the second derivative of f(q). What is g(i(h))?\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3*u**2 + 8021*g**3 + 11*g**2 - 16*u**2 + 2*u + 14 wrt g.\nAnswer: -12*u**2 + 48126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3054962783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15921415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) 3\/2 (c) -1.89331\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2 + 3*c**2 + c**3 + 92*c + 5*c**2 - 125*c. Let v be k(6). Let p = v + -204. Is 26 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20556439 and 1983?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -1199*l**5\/30 + 3779*l**4\/8 - 13*l**2 - 51*l. What is the second derivative of i(w) wrt w?\nAnswer: -4796","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*((t\/(t\/(t*(t*t**(-3\/7)\/t)\/t)))\/t)\/t*t)\/t*t)\/t**2)\/(t**4\/((t*t*(t**(2\/9)*t)\/t*t)\/t)) assuming t is positive.\nAnswer: t**(-202\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t - 3. Let a(r) = -3*r + 2. Let i(k) = 7*a(k) + 6*w(k). Let s be i(-2). Let m(g) = -g + 3 - s - 3. Give m(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**6\/900 + s**5\/50 + 3*s**4\/20 + 4*s**3\/3 - 4. Let p(t) be the third derivative of i(t). Factor p(j).\nAnswer: 2*(j + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 497133.\nAnswer: 3, 7, 13, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000136801 to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/(((-1)\/(-18))\/((-635)\/7620))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*v = 201*v - 2088 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)*h)**(-6\/13))**(-3\/26) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5224\/4653 - 6\/517. Suppose -4*j - b - 29 = -10, 2*j = -b - 7. Let p be 2\/3*(-9)\/j. Which is smaller: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**2 - 2*c. Let a(g) = -6*g**2 - 5*g. Determine 6*a(p) - 11*j(p).\nAnswer: -3*p**2 - 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 2 - 2 - 4*v**2 + 2*v**2 to the form y*v**2 + f*v + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b - 1 + 2*b + 2 + 3*b. Calculate f(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.4097142?\nAnswer: 2.048571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(1053) + sqrt(1053)*-2)*5)**2 - (-5 + (sqrt(1053) + (sqrt(1053)*-1 - sqrt(1053)))**2)).\nAnswer: 101108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*i = -39. Let n be (5 - 1) + i\/(-3). Which is bigger: n or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847)*3*-3 - (1*(sqrt(847) - (2 + sqrt(847))) + sqrt(847) + sqrt(847))) + (sqrt(847) + sqrt(847)*1)*-5*1 + 2)**2 + -3.\nAnswer: -1848*sqrt(7) + 373540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2 + 12*m + 4. Let o be i(6). Solve -12 = -4*v - 4*p, o*p - 5 = 3*p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26927239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c3a202 + 3?\nAnswer: 1c3a205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 408\/85 + 2\/10. Let z(y) = 2*y**2 - y - 9. Let n(i) = i - 137 - i**2 + 67 + 75. Give p*n(v) + 3*z(v).\nAnswer: v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -22. Suppose 3*a = d*a + 5600. What is a rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12738 + 12743. Put 0.1, 217, f in ascending order.\nAnswer: 0.1, f, 217","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*4\/(-36))\/(306\/(-10557)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 691.8741um to centimeters.\nAnswer: 0.06918741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (25 - 33)*61375\/(-1). What is g rounded to the nearest ten thousand?\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 857593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.6*-14466.\nAnswer: 95475.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 - 18 - 7*w - 8*w**4 + 42 in the form j*w**2 + i*w**3 + r + p*w + v*w**4 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**3\/9 + 33266*h**2\/9 - 136497526*h\/9 - 15276053738\/9 = 0?\nAnswer: -109, 8371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/120 and -71\/64545.\nAnswer: 516360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*((sqrt(38)\/sqrt(2))**2 - sqrt(19)).\nAnswer: -12*sqrt(19) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12393776 by -472.\nAnswer: -26258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10029, 10028, 10025, 10020, 10013, 10004, 9993?\nAnswer: 9980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/128335838 and -55\/12.\nAnswer: 770015028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 413.1 + -339. Let s = -7157 + 7083. Let w = x + s. Which is the third biggest value? (a) -3 (b) w (c) -0.1 (d) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210677 and 385396?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1124.9 times 0.3\nAnswer: 337.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = b - 8, -5 = 5*j - b - 32. Suppose 15 = -3*u - 3*d - 15, j*u = -4*d - 47. Find the common denominator of (-2)\/56 - 2\/u and -59\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -222, -492, -752, -996, -1218, -1412, -1572?\nAnswer: -1692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j = 0. Let z be j*(2 + -1 + -2). Suppose -642*f = -10*f + 327*f - 1918. Solve z*g = -g - f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 36?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4 + 88\/(-20))*65\/(-1) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + a. Let u(w) = 4*w**2 + 11*w + 7. Let v(j) = -5*r(j) + u(j). Let n be v(7). Find the first derivative of 3 + n*z**4 - 4*z**4 + z**4 - 2 wrt z.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2976675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 1043*x**4\/24 - 1625*x**3 + 8*x**2 + 117*x - 3. What is the derivative of h(z) wrt z?\nAnswer: 1043","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(10\/9)*m**(-2\/5))\/(m**(-3\/8)\/(m\/(m*m**(-11\/6))*m*m)))**11 assuming m is positive.\nAnswer: m**(19481\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -29*510\/(-4437)*(3 + (-108)\/(-15))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16422396611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3*(sqrt(77) + (sqrt(77) - sqrt(77)*-2)))\/(sqrt(63)\/(sqrt(63)\/sqrt(7))))**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.301 - 1.699. What is the second smallest value in l, 0.4, 2\/13, -10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 2:42 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-55 - (-3 + -2))\/(6\/(-9)). Solve -p = -y - 72, 0 = -v - 2*y + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/4))**28*(s**(1\/4)\/s)\/(((s\/(s*s**2\/s))\/s)\/s))\/((s\/(s\/(((s*s**0*s)\/s)\/s)))**(-50)*(s**3*s)\/s**(1\/5)) assuming s is positive.\nAnswer: s**(389\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**3\/3 + 9*i**2\/2 + 8*i - 1. Let z be g(-8). Let y = 3.6 - 4. Which is the smallest value? (a) 0.2 (b) z (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -2 - (2 - -1) - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 131? (a) 0 (b) -4 (c) -1 (d) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3682 is divided by 552?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1183099792 to the nearest integer?\nAnswer: 34396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujgujjujjujujuuugg. Give prob of sequence jgg.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -168, 0.5, -2, 6, 4.7, 5, 4\/5?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 8. Let x(z) = -2 - 2*z + 2*z - 3*z. Let q(s) be the third derivative of s**4\/24 + s**3\/6 - 16*s**2. Give g*x(t) - 2*q(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 213950000 rounded to the nearest one million?\nAnswer: 214000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in 2\/17, 3, -97, 4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1822\/(-42) + (-16)\/56. Let v = -1057\/24 - c. Is 1 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 2. Let k(c) = 130*c**2 - 208. Let z(f) = -k(f) - 104*r(f). Let n(u) = 2*u. Determine n(z(j)).\nAnswer: -52*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 0 - 3. Suppose -209 = -k*n + 442. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 5\/1167469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78920870 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 9*u - 26816. Suppose -74*a + u = -72*a. Suppose 5*v - 3226 = -4*d, 3*d - 5*v - a = -915. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.1, 2, -0.03, -0.02, 4\/7, -392?\nAnswer: -392","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 131861144 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -89716862 - 3.1\nAnswer: -89716865.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-2*sqrt(99))\/(sqrt(36)\/(sqrt(16)\/sqrt(4))) + -3*((-2 + sqrt(11))*-3 - (sqrt(176) + -1)))**2*-3.\nAnswer: -21948 + 3150*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 9*z + 4. Let h be m(-11). Let x(n) = 4*n + 1. Let i be x(5). Let w = h + i. What is the highest common divisor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -608670.61 rounded to the nearest one hundred?\nAnswer: -608700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*r**2 + 56*r**2 - 84*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2\/35, -1\/2, -11?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, n: 7, d: 2, r: 4}. Give prob of picking 2 d.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 + 46. Put y, 3, 18 in increasing order.\nAnswer: y, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-9)\/(-12) - (-23)\/4. Suppose x + x + 4 = 0, -2*c - 2*x = 2. Suppose 15 = -10*o + 5*o. Sort o, y, c in descending order.\nAnswer: y, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**3 + 523. Let w(c) = 3*c**2 + 7*c + 7. Let r(g) = 2*g**2 + 5*g + 5. Let l(t) = -7*r(t) + 5*w(t). What is u(l(o))?\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzozzozooozozoozzo. What is prob of picking 2 o?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*s + 17*s + 107531025 = 90*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 11 = 3*t - 11, 2*k + 2*t - 20 = 0. Let a be 0*(6\/k)\/((-6)\/(-4)). Suppose q + q - 4 = 0, a = -5*j + 4*q - 660008. Round j to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10307219 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/21, -4, -9, -0.3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 72 = -c. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -941 - -1635353.\nAnswer: 1634412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4 (b) 0.4 (c) -87153\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*p = -511, -259 - 758 = -2*q + 3*p. Let a(l) = l - 1. Let i be a(3). Suppose i*u + u = q. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((16 - -1) + 5 + -35)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 11:17 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280 and 1379420?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 47*o - 313. Let j be p(7). What is j rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 5591*x + 5591*x - 3*x**2 - 2*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 15*v - 9. Let t be q(-4). Suppose -t - 3 = -19*n. Let m(s) = -s - 1. Give m(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3010167013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**7\/1120 - o**6\/480 + o**3\/3 + 11*o**2. Let d(c) be the first derivative of l(c). Suppose d(x) = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3177.\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144015.2l to millilitres.\nAnswer: 144015200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 7*o**2 + 7*o + 6. Let q = -258 - -256. Let f(t) be the first derivative of -t**3 - 4*t**2 - 10*t + 2. Let d be f(q). What is r(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**7\/4200 - g**6\/600 - 2*g**3 - 15*g**2. Let y(p) be the first derivative of u(p). Factor y(x).\nAnswer: x**2*(x - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.2 - 2. Let o = r + -0.2. What is the closest to o in 1\/8, 1\/4, 1\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 1\/30*p**5 + 181*p**2 + 0*p - 2\/3*p**4 + 1\/3*p**3 + 0 - 3\/40*p**6. Find the second derivative of a(u) wrt u.\nAnswer: -54*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -904 by 4.\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-24)*((-25260)\/630 + 28 + 12)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0\/t)**1\/(t*t**(-1)*t**(2\/9)))\/(t**(-4)\/(t*t**(-2)\/t*t))**(-38) assuming t is positive.\nAnswer: t**(-1037\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 59739366 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u - 2. Let x be r(-5). Let z be (385\/(-11) + -1)\/((-6)\/104). Suppose -30*y + z = 18*y. What is the highest common divisor of x and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence htt when three letters picked without replacement from {h: 1, s: 2, t: 7}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 55322 = 2*y - 7832, 5*k = -3*y + 94676. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91529 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -12 - (6 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -27 times 16\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99345 and 222.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -454 - -456. Suppose 5*g - 7535 = 4*v - v, 0 = x*g + 3*v - 3014. What are the prime factors of g?\nAnswer: 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1092 and 156.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a**2 - 4. Let i(b) = 3*b**2 - 2. Let r(y) = 3*h(y) - 7*i(y). Let w(m) = 15*m**2 - m - 11. Let o = 25147 - 25136. Calculate o*r(l) + 2*w(l).\nAnswer: -3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 541 is divided by 63?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -552 and 24427 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 - 2*t - 7. Let x be 7*2\/(-4)*-2. Let z be g(x). Let r = z - -251. What is the greatest common factor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5.2, -2, -3, -46, 288?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**(-1\/4)*g*g)\/g)**(31\/5))**(-44)\/((g**3*g)\/((g*g**(2\/13))\/g)*g**(-3\/7)\/(g*g**(2\/13))) assuming g is positive.\nAnswer: g**(-218247\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000055039 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2933693*p**2 + 1465304*p**2 + 1468411*p**2.\nAnswer: 22*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296*w - 5535*w**3 + 194*w - 89*w + 191*w.\nAnswer: -5535*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 10 = -4*o, 6*i + 4*o = 2*i + 24. Let t(x) = 3*x - 7. Let y(c) = 9*c - 22. Let l(b) = 7*t(b) - 2*y(b). Let d(g) = 3*g - 4. Give i*l(z) - 3*d(z).\nAnswer: -3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 602832844 rounded to the nearest 1000000?\nAnswer: 603000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 404102 (base 5) to base 4\nAnswer: 3023203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a factor of 105355825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**3 + 0*q**3 + 1806 - 3658 + 1852 + 0*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**5\/60 - 13*k**2. Let f(x) = 4*x - 7*x**2 - 4*x. Give z(f(u)).\nAnswer: 49*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 6 in descending order.\nAnswer: 6, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3438 is divided by 1143.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/39*(0\/(-3))\/2. Solve 0*n + 3 = 4*n - z, 5*z + 15 = k for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3645609940 + -0.57.\nAnswer: 3645609939.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 58560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48363 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 223324349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632340 is divided by 45?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3322 and 2112?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k - 3. Let x(l) = 12*l + 5. Let m(r) = 5*i(r) + 2*x(r). Let b be m(-11). Solve -6*w = 3*w - b*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**5\/4 - 5*w**4\/6 + 5*w**3\/6 + w. Determine u so that r(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + 1. Let o = -2725 + 2725.05. Which is the nearest to o? (a) -3\/4 (b) j (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.043, 0.1, 3871.8, 2 in ascending order.\nAnswer: 0.043, 0.1, 2, 3871.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(405) - (-1*sqrt(500) + sqrt(500))**2.\nAnswer: -2 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285741?\nAnswer: 3, 19, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7747527 and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((539\/792)\/(-49))\/((-30)\/405)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b**2 - 3*b + 5. Let o be j(2). Let i(q) = 6*q**2 + q + 1. Let s be i(-2). What is the greatest common divisor of s and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (3 - (4 - (4 - 3))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(143)*1)\/sqrt(11) + -5*(sqrt(13) - sqrt(117)\/sqrt(9)))*-6.\nAnswer: -6*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/30*19\/(-266)*28\/(-6).\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*r + 5 - 13*r - 14*r - 81*r to the form q*r + w and give q.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 3*v - 21. Let z = v + 17. What is the third derivative of z*k**2 - 3*k**4 + 0*k**4 + k**4 wrt k?\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 7 + 502*m + 1 in the form z + a*m and give a.\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2100 + 2104. Which is the second biggest value? (a) 1 (b) -3 (c) 477 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 3*k**2 - k. Let a be c(-3). Suppose a = q - 1. Let n = 60 - 38. What is the smallest common multiple of q and n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14.61 or -19\/64?\nAnswer: -19\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1900*r**2 + 2*r**3 - 1902*r**2 + 5 - 1919*r**2 + 5721*r**2.\nAnswer: 2*r**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*j - 6 = 0, j = 2 - 0. Let a(t) = -t**3 + 12*t**2 - 12*t + 15. Let n = 22 - 11. Let y be a(n). Put h, y, -2 in descending order.\nAnswer: y, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 0.4 (c) -3\/230981\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 7*j - 7. Let m(b) = -3*b**2 + 36*b - 18. Is 5 a factor of m(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 44 = -23*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -56, -165, -460, -1031, -1968, -3361?\n\"Answer: -15*h**3 - 3*h**2 + 5*h - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -21*56\/(-12) - 0. Suppose 0 = 3*a - 18 - 3. Suppose a*l - r = 5*l. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y. Let z(b) = -16*b - 17*b + 47*b - 18*b. Determine -5*t(l) - 4*z(l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -15*r - 1. Let k(j) = -j**2 - 2*j. Let q be k(-3). Is u(q) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3\/697?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -31371*f + 376228. Give z(12).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 40, 43, 48, 55?\n\"Answer: l**2 + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -775*h + 696*h - 908 + 3120 = 0 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - w**2 - 5*w - 10. Calculate j(-4).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 8 + b + 7 + 5 + 6 - 1. Suppose 3*l = -25*l. Give c(l).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - h - h = -2, 3*h = -2*r - 9. Let c(l) = -l**3 + 4*l**2 - 3*l + 3. Let y be c(r). Let a(x) = x**2 - 5*x - 1. What is a(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.18 - 10.82. Let w = 9 + o. Let v = 2.4 + w. Which is the second smallest value? (a) -3 (b) v (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(3 - 11 - 20)*(-6*s + 4*s + 0*s).\nAnswer: -112*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.96 + 3.56. Put 2, 0.5, j, 2\/7 in ascending order.\nAnswer: 2\/7, 0.5, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 94 = 6*k. What is the remainder when 73 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -4) + 7 + 10 + 1 + -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20\/7, -1\/5, -4 in descending order.\nAnswer: 20\/7, -1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/4 (b) -1 (c) 2\/1827\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 103*y + 1173. Let c be w(-90). Solve -3*g - 17 = v, -3*v + c*g + 5 = -2*g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*(1*sqrt(363) + sqrt(363)).\nAnswer: -176*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 339951061 >= 339951061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/88 and -23\/6.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(68) + (1*sqrt(68) - sqrt(68))*3 - sqrt(68) - sqrt(68) - sqrt(68))\/sqrt(4) - (-2*1*sqrt(153))\/(-3*sqrt(81))) + -4.\nAnswer: -74*sqrt(17)\/9 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156183, -312385, -468587?\nAnswer: -624789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0 + 9 = 0. Suppose -199 = -k*w + 179. What is the remainder when w is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/21 + (-13)\/(-21). Let w = -496601\/3 + 165533. Which is the nearest to w? (a) s (b) 3 (c) -6 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -11 - (28 + -7 + -8 - 22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/6*a**4 + 0*a**3 - 2\/3 + 5\/6*a**2 + 0*a = 0. Calculate a.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/24 and 37\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -14359*x. Let i(r) = -8*r**2. What is i(b(s))?\nAnswer: -1649447048*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 51?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3512*s + 3504*s - 21050*s + 3504*s + 3510*s + 3507*s + 3514*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + ((-263 - -257) + (-1 - 26) - -19)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/21, -4, 41, -0.1?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1133, 2480, 3823, 5162, 6497?\n\"Answer: -2*f**2 + 1353*f - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 23. Let l(p) = -11*p + 4*p + 7*p - v*p**2. Let r(s) = 4*s**2. Determine r(l(j)).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5151665 + 5151706.99966. Let x = -42 + m. Round x to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/95115 and -32\/273.\nAnswer: 8655465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**3\/3 - 7*m**2\/2 - 120*m + 97. What is the remainder when n(19) is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 886295.6km to micrometers.\nAnswer: 886295600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 28*n - 572. What is the smallest common multiple of 22 and p(22)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9132 minus 2.462?\nAnswer: 9129.538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 6*y = y. Let n(q) = 2 - 27*q - 4*q**2 + 59*q - 30*q + y. Give n(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.041 - 10682969749.\nAnswer: -10682969749.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (40\/100 + 8\/30)*2319. Suppose j = -19*m + 21*m - 3*n, 0 = 4*n + 16. List the prime factors of m.\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -1591*q**6\/60 - q**5\/30 + 2153*q**4\/12 - 2*q**2 - 14*q + 8. Find the third derivative of m(p) wrt p.\nAnswer: -19092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 - -50. Differentiate c*f**2 - 10*f**2 + 12*f**2 + 41 with respect to f.\nAnswer: 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 6505057.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/17331 and 55\/6.\nAnswer: 34662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxtmxmttmtttxtkx. What is prob of picking 2 t, 1 m, and 1 k?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 20*t + 26. Let r(y) = 7*y + 9. Let u(s) = -6*s**2 + 3*s + 10. Let m be u(4). Let x = -80 - m. What is x*g(a) + 17*r(a)?\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand f - 3 + 3 - 2*f + 3*f + f + (4 + 2*f - 4)*(0 + 1 + 1) + 0*f + 0*f + f + 2*f + f - f - 696 + 696 + 91*f - 2*f - 2*f - 5*f.\nAnswer: 92*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 74109, 74106, 74103?\n\"Answer: -3*z + 74112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -23.1, -0.1, 10, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 1:49 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-2 + 0)) + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*u - 15 = -129*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (-1 + -5 + 2) - -2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 9 = m - 3*q, 0 = -4*m + 2*q + 46. Find the second derivative of -44*n + 219*n**4 + m*n - 219*n**4 - 38*n**5 wrt n.\nAnswer: -760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-57))\/(((-40400)\/(-1900))\/(-101))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16895\/86433 + 72\/613. Calculate the common denominator of -29\/12 and p.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/((k**11\/k)\/k*k))\/k)\/(k*k**(-20)) assuming k is positive.\nAnswer: k**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (837\/81 - 11)*(-7336 - -1). Which is smaller: o or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3\/5 + 36*h**2\/5 + 32*h\/5.\nAnswer: 4*h*(h + 1)*(h + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 12654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210 - 210 - f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10642, -10644, -10646, -10648, -10650, -10652?\nAnswer: -10654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3255)\/28)\/((-2)\/8). Let c(g) = a*g**2 - 464*g**2 - g**3 + 0*g**3 + 2*g**3 - 2. Calculate c(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 25. Let g be (0 - a)\/(-4 - -3). Suppose 2*w = -3*r - 1, -4*w + r + r + 22 = g. Solve 2*s - 18 = w*d, 23 = 4*s - s - 4*d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5032, -9745, -14456, -19165, -23872, -28577, -33280?\nAnswer: -37981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(275)*-4 + 2 - sqrt(275)) + 0).\nAnswer: -50*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (2 - 16\/4). Solve -2*g = -g + k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j + 8*j + 10*j**3 + 16*j**3.\nAnswer: 26*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.06, -1\/91286, 1\/5, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4302.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -149324842\nAnswer: 74662421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2251*v - 184893 = -1432*v + 763*v + 54547 for v.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 + (0 - -6))\/(1 + 1). Let a be (63\/14)\/(l - 6\/8). Suppose 5*y + 36 = 6. Is a at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t + 76. Let z be h(-14). Factor 165*d**2 - 247*d - 4*d**4 + 80 + 47*d + 3*d**4 + z*d**4 - 50*d**3.\nAnswer: 5*(d - 4)**2*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-5*12\/60.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51199, 51283, 51367?\nAnswer: 51451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/8)\/((-3)\/20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - -30. Let l = 54 - n. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 4*h + 16 + (-4 - 2 + 1)*(3 - 3 + h))*(-13*h + 9*h - 8*h).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1199 - 650. Let c = b - 303. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 58034, 58773, 59514, 60257, 61002, 61749, 62498?\nAnswer: 63249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 793728*s**2 - 418010?\nAnswer: 1587456*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 153*n + 2476. What is the thousands digit of h(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 1160 = -5*v - 6*c, 1160 = 5*v - 3*c. Let s = v - 230. Calculate the greatest common factor of 16 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1183897 is divided by 591925?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1184\/76987?\nAnswer: 1184\/76987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.46 - -0.4. Let w = -1.8421835 + 1.90218. Let b = w + s. Round b to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*25\/10 + 8. What is the tens digit of g\/(-6)*(-6 + 6 + -778)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10764 by -12.\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2717, -3303, -4265, -5597, -7293, -9347, -11753?\nAnswer: -14505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 + 61.5. Let j = 5.5000002 - y. Round j to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82\/17 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -527, 104054, 3 in decreasing order.\nAnswer: 104054, 3, -527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 5 - (-9 + (-3 - -6)). Solve -4*x + a + 13 = 0, -4*a = i*x - 0*x - 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 2*z + 5 - 4 + 5*z. Give m(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v - 6. Let y be c(-5). Suppose y*t + 3 + 5 = 0. Let o = 7 + t. Solve 0 = 4*b - 4*z + 16, -5*z + 17 = -o*b + b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28338.47 and -0.14761?\nAnswer: 28338.61761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1978785 and -8.6?\nAnswer: 17017551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 19340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((2\/3)\/(44\/198)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5938367 is divided by 172.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -348, -1397, -3146, -5595, -8744, -12593?\nAnswer: -17142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - -4 - -3) + 1. Let l be ((-96)\/c)\/(3\/(-20)). Suppose -j - 8 = -2*j. Calculate the highest common factor of l and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 972.8245 weeks?\nAnswer: 588364257600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 765340, 1530677, 2296014, 3061351, 3826688?\n\"Answer: 765337*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.9 + 3. Suppose -11 = 3*r + 1. Which is the third biggest value? (a) o (b) 0.4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -9, 3, 2, -53 in descending order.\nAnswer: 4, 3, 2, 1, -9, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(3\/5)*b))**(-9\/4)\/(((b\/(b\/b**(-5)))\/b)\/b)**(-14\/5) assuming b is positive.\nAnswer: b**(-73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27292 + -27183. What is the greatest common factor of u and 21473?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*d + 4*w, -3*d + 7 - 2 = -w. Suppose -4*c + 0*b = -b - 10, d*c - b = 8. Solve c*v - 5*x = -10*x + 8, 3*x = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s - 14*s + 4*r - 4 = 0, -1 = -3*s - r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 413*n + 12815. What is f(-31)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 36396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.607 rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26746 * 0.3.\nAnswer: 8023.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -11 - 1 - w**2 - 5*w - w + 6. What is d(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228112 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 - 25*i - 41. Let x be q(-2). Put -1.1, -3\/5, x, -1\/4 in ascending order.\nAnswer: -1.1, -3\/5, -1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.11, -3, -16716, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92849 is divided by 829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - i = -0*i + 72, -3*i + 72 = -3*b. Suppose -x - 6*x - 19 = 30. Is x less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/50 - (-5)\/(-25). Suppose 0 = b + 5 - 3, t = -x + b + 23. Calculate the highest common divisor of x and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 69056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**2\/5 + 22416*m\/5 + 159011379\/5 = 0. Calculate m.\nAnswer: -4447, 11919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*g - 30*g - 38*g + 197*g.\nAnswer: 53*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2439*i - 1 - 61 - 17 - 1574*i - 5. Is k(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45015950 rounded to the nearest one hundred thousand?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4393202 times 2?\nAnswer: -8786404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, u: 1, t: 1, p: 1, c: 4, s: 6}. Give prob of sequence pw.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -22, -4 in decreasing order.\nAnswer: -1, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iglgghghoggighii. What is prob of sequence io?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -235 + 2363\/10. Let i = 53\/246 + -2\/41. What is the common denominator of i and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1352 and 559000.\nAnswer: 7267000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 3. Let c = 22 - 7. Suppose -c*w + 17*w - 2 = 0. Let g(s) = -1. Calculate w*b(y) - 5*g(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88 - 109.5. Let w = -21 - v. What is the closest to w in -1\/2, -2, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wggdggggwddgddg. Give prob of picking 3 g and 1 d.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 226, 147, 70, -5, -78, -149, -218?\n\"Answer: g**2 - 82*g + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 19388164*d - 77552720.\nAnswer: 4*(d - 4)*(d + 4847045)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*sqrt(13) + -1.\nAnswer: -18*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -647.8922 + 647. Round o to 2 dps.\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + q**3 - 3*q**3 + 0*q**3 - 6*q**3 + 3*q**3 + q**3 + (-2*q**2 + 2 - 2)*(2 + q - 2))*(28*q**2 + 4*q**2 - 3*q**2).\nAnswer: -174*q**5 - 174*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17b (base 16) to base 15.\nAnswer: 1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*u = -7026 - 6474 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5643)\/109098)\/((-54)\/29).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1872 and 140634?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-1 + 5 + -3)) + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 9. Let q = f + -9. Calculate the smallest common multiple of (0 + 8\/(-6))*q and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 10) to base 9.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004338916 to 5 decimal places.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 8 - 1 = 0. Suppose k + h = 4, -q*k = -0*k + 2*h - 11. Suppose -k*n + 485 + 1405 = 0. What is n rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5 + 17*b + 22*b - 40*b. Let n be z(0). Sort 1, 3, n, -4 in ascending order.\nAnswer: -4, 1, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/l**(-4))*(l*l*l**3)\/l)\/(l**(-1))**(-18) assuming l is positive.\nAnswer: l**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 2*u + 2. Let l be v(0). Solve 3*m + 0*m - 6 = 0, 4 = -h + l*m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 423985237 + -3499.6.\nAnswer: 423981737.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(18) + (sqrt(90)\/sqrt(5) + sqrt(18) - sqrt(18))*-2)\/(-4*(sqrt(18)\/sqrt(2) + sqrt(9))).\nAnswer: sqrt(2)\/8 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -10*i + 5*i, 15 = -5*l + 2*i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -6. Solve -5*s - 22 = -n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 10 + (-5 - 4) - 8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 28853260?\nAnswer: -2885326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 176 + -183. Let i = 5.88 - -0.12. Let k = g + i. What is the second biggest value in -0.5, k, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3511*z + 381*z - 185613 = 218157 for z.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42765\/182 or 235?\nAnswer: 235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 18 = -3*i, 8*i + 2*d = 3*i + 16. Let o(q) = -2*q**3 + 2*q. Let v(h) = -3*h**3 + 3*h. Give i*o(r) - 3*v(r).\nAnswer: r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t. Let w(n) be the third derivative of -13*n**2 + 0*n + 1\/6*n**5 + 0 + 0*n**4 + 0*n**3. Determine w(u(j)).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 32 = 4*x - 5*m, -36 = -5*x - 4*m. Suppose 5*s - x*z - 3117 = 2*s, 0 = -5*z + 15. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.400136 - 8.4. Round u to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8909, -35613, -80141, -142505, -222717, -320789, -436733?\nAnswer: -570561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 12\/17, 5, -13.761, 2.\nAnswer: -13.761, -0.5, 12\/17, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 + (6 - 15)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 120*i**2 + 39*i + 4. Let s be p(-3). Let q = s - 1853\/2. What is the common denominator of q and -55\/144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 29*y**2 - 23*y**2 + 1 - 3 as d + g*y + r*y**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q**2 + 5*q - 3. Let c(z) = z**2 - z + 1. Let m(r) = 5*c(r) + d(r). Let t(l) = 6*l**2 + 11. Give 22*m(i) - 4*t(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1238336 is divided by 3050?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + u + 6*u + (-12 + 11 - 14)*(-4*u + u + u))*(-3*u + 4*u + u)*(11 + 16 - 14) + 3*u**2 + 2*u**2 - 4*u**2.\nAnswer: 859*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-12)*4)\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 206 + 208 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.554 * 5.6457\nAnswer: -3.1277178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = n - 8, -5*a - 20 = 2*n - 0*n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3 + 1332*f + 1343*f - 2662*f. What is s(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11857 * 483\nAnswer: -5726931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 3*k**2 + 8*k - 211. Let j(c) = 7*c + 9. Calculate 5*j(b) - 6*x(b).\nAnswer: -b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.9 + -13.9. Let m = 8 + v. What is the third biggest value in -2, -1\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 29 = 31 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 30 = 4*o - 38, -12 = -j + 2*o. Let t be (-30)\/(-1)*4\/j. Calculate the highest common factor of t and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + h - 30 = 0. Suppose a - h = -a. Find the second derivative of -2*o - 13*o**3 + 9*o + 3*o**a - 2*o wrt o.\nAnswer: -60*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3799*g**4 + 8*g**2 + 2*g**3 + 3295*g**4 + 2 - 8*g**2 to v + j*g**2 + y*g**4 + f*g**3 + t*g and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10*(-3)\/((-72)\/3). Let q = 4.4 + -0.4. What is the third biggest value in q, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*p - 56*p = 100. Solve -p = -5*l - 0, -2 = -c - 4*l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 5. Let k = 47 - 101. Let i be (k + v)*8\/(-6). Calculate the highest common divisor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02167538908 to 4 dps.\nAnswer: -0.0217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000358571166 rounded to 7 dps?\nAnswer: 0.0000359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 394, 445, 508, 589, 694?\nAnswer: 829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 12*n - 192. Let z be s(20). Solve z*l - 9 = 51*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222 divided by -6\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10580545 less than -0.63?\nAnswer: 10580544.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000297921 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -10*a**2 - 48*a. Let s be f(-4). What is the highest common factor of s and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - 7b7?\nAnswer: -802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 324*g + 732*g + 617*g**2 - 621*g**2 - 69696.\nAnswer: -4*(g - 132)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 126 - 120. Solve x*d + 1 = 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 3, 1, -1 in descending order.\nAnswer: 3, 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 10:29 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10140 + -1340614?\nAnswer: -1351054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 7. Let v be r(7). Let u be (-3 - -5) + v\/2. Suppose -t = -u - 9. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 286\/12799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nww when three letters picked without replacement from {n: 2, w: 7, q: 9}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493202.\nAnswer: 2, 19, 12979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11\/18, 3, -1\/7, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1114 - 1081. Let j be 2 + (-1424)\/(-4) + 5. Calculate the highest common divisor of z and j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -163*r**4 + 3*r**3 - r + 82*r**4 - r**3 - 2*r**2 + 79*r**4 - 8 in the form z*r + h*r**4 + v*r**3 + p*r**2 + y and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3020 + -1402. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.965 + 11. Let c = -698951.9649973 + 698952. Let g = w - c. What is g rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + h**2 - 2*h + 1. Let i be a(-2). Let t be (-2 + 1)\/(6\/(-54)). Let y = t + -4. Sort i, 0, y in increasing order.\nAnswer: 0, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 1)*(3 + 189*z + 5 - 7).\nAnswer: -756*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + a. Let t be u(1). Let i(b) = b**3 - b - 1. Let g be i(t). Is (1\/(-2))\/(g\/262) 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 ttttttt. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 101284 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 + (-210)\/20)\/(1\/(-4742)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 286484 by -26044.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 - 80906455*m + 161812890.\nAnswer: 5*(m - 16181289)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 5:43 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5241 - 33?\nAnswer: -5314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7080841291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6144.986 litres in millilitres?\nAnswer: 6144986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -39240 (b) 46 (c) -93 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**0*m)\/(m**15\/m*m))**45)**(-27) assuming m is positive.\nAnswer: m**15795","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 610 and 212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a + 6. Determine n(8).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 8:36 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -104.024 to the nearest integer.\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 5*w + 1868. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q + 5. Let z be r(4). Let p = 2 + z. Let v(u) = -12*u - 1. Is 11 a factor of v(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*q - 3*c - 27, 20 = 5*c. Let a(l) = -l**3 + 6*l**2 + 6*l - 5. Let w be a(7). What are the prime factors of 23\/3 + q\/w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 860341*t**3 - 18*t**2 - 12*t + 11 wrt t?\nAnswer: 5162046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 82, 239, 522, 967, 1610, 2487, 3634?\nAnswer: 5087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6956*u + 2324*u + 2315*u - 2949 + 2318*u.\nAnswer: u - 2949","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3464130 by -692826.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3274326 * 5.\nAnswer: -1.637163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -15\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rraa when four letters picked without replacement from aaraaaaaraaraaaa?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + -0.2. Let z = 0.07 + -0.07. Let r = 1 - z. Which is the smallest value? (a) u (b) -4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 2*w - 4 = 3, 5*p - 3*w = 20 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/7 - 64572*v\/7 + 521192898\/7.\nAnswer: 2*(v - 16143)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -10440.\nAnswer: 10443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 18755?\nAnswer: 112530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*0.7.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*b - 5*p - 10, 5 = b + 3*p. Which is smaller: -2\/197 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**2 + 286252*i - 6295608 = 0. What is i?\nAnswer: 22, 71541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4251, 14573, 30955, 53403, 81923, 116521, 157203, 203975?\n\"Answer: l**3 + 3024*l**2 + 1243*l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -2\/60975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -107, -208, -309, -410?\n\"Answer: -101*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229575108 divided by -5338956.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dud when three letters picked without replacement from {u: 5, d: 9}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 + 5*j - 9. Let x = 0 + 8. Let h = -11 + x. Let k(r) = r**2 + 3*r - 5. Let y(m) = h*f(m) + 5*k(m). Determine y(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in -1\/3, -0.08, 9\/5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 (base 5) in base 4?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -778 + 1511. What are the prime factors of y?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 + (-5 - 5 - 2) + (260 - 246)?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 0*j + 0*j - 3*j + 1. Calculate v(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 910 and 441?\nAnswer: 57330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 570 and 14830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111 + -111. Which is the smallest value? (a) -2\/21 (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t - 3*t**2 + 5*t**2 - 5*t.\nAnswer: 2*t**2 - 16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1221*q + 19590 = -8493 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11329162842 take away 16?\nAnswer: -11329162858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 i, and 1 v when three letters picked without replacement from {k: 3, s: 2, g: 3, v: 1, i: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 11054240?\nAnswer: -11054233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2175 and 150?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**4\/24 + 25*h**3\/6 + 22*h**2. Let r be m(19). Let x be (1 - 2\/10)*5. Solve -2*o = x - r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251 + 299 = 8*k. Let t = -1 + 1. Suppose k*p - 294 = -t*p. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 137103844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 not equal to -428\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 17. Let m be x(-7). Let s = m - 8. Find the third derivative of -5*r**5 - 16*r**4 + 2*r**s + 16*r**4 wrt r.\nAnswer: -300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 w when four letters picked without replacement from whwihiowiocchww.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 39 = a, -599*a + 598*a + 3*d = -59 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -109*m + 844. Calculate the lowest common multiple of 36 and x(7).\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000403504909 to six decimal places.\nAnswer: -0.000404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = q + 5*d, 3*q + 13 = -5*d - 9. Let m(w) = 211*w**3 - w**2 + 2*w - 2. Is m(q) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4372, -17786, -40220, -71674, -112148, -161642?\nAnswer: -220156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*c**4 - 37*c - 1 + 3 - 1 - 55*c - 33*c**4 to h*c**2 + m*c**3 + k*c**4 + j*c + w and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 + 2842809*v**2 + 673465005609*v + 673462162803.\nAnswer: 3*(v + 1)*(v + 473801)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m - 21. Let l(n) = 13*n + 237. Let r be l(-18). Let z be j(r). Solve t = 4*i - z*i + 24, i + t = -1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397600 rounded to the nearest 10000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -r + 6, -4 = -3*v + v - 2*r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -1 (b) -3302 (c) 26\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((-2 - 5) + 5) - -36 - -7?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/3)\/(n*n**(-3\/2)\/n)*(n*n*n**(-1)*n)**28*(n**0\/n**1)\/(n\/(n**(-6)*n*n)*n*n*n*n**(-2\/13)) assuming n is positive.\nAnswer: n**(3769\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-12))\/(2\/(-21)). Suppose 0 = 2*l - h*l + 805. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55148535*c**5 - 2*c**3 - 85080384*c**2?\nAnswer: -3308912100*c**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5 + 11036*k**4 - 186958*k**3 - 418076*k**2 = 0. What is k?\nAnswer: -2, 0, 19, 5501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329274*a**3 - 13294*a**3 - 51086*a**3 + 245675*a**3.\nAnswer: 510569*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 20*h**2 + 3*h - 23. Suppose -88 = -4*f - 160. What are the prime factors of o(f)?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*z + 882*z - 7589 = 166*z - 118565 for z.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1*c*c)\/(c*c**3)*(c\/c**(-1))\/c**(2\/23) assuming c is positive.\nAnswer: c**(21\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -975 + 1403. Let i = z + -557. Put -5, -1, i in descending order.\nAnswer: -1, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*z)*(-2 + 3 + 1) + ((-2 - 2 + 1)*(-2*z - 2*z + 2*z) + 15*z - 12*z - 5*z)*(-1 - 8 - 3).\nAnswer: -52*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*10415\/175 - (-6)\/14. Suppose -m - f + p = 0, -1085 - 102 = -4*m + f. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z**3 - 4*z**2 + 13*z. Let s(v) = -v**3 - v**2 - v. Let x = -49 + 53. Let f(r) = x*s(r) - k(r). Find the second derivative of f(y) wrt y.\nAnswer: -60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47560 is divided by 243?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.825 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100110111000110000111010 + -11?\nAnswer: 110100110111000110000110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 111011010101011011 (base 2) in base 11?\nAnswer: 156661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 886730.3s?\nAnswer: 886730300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 121039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*h + h**3 + 3*h**3 - 6*h**3 - 38*h + 76*h.\nAnswer: -2*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -63. Suppose -k*c + 3120000 = -25*c. What is c rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -44941*k + 674209. Determine h(15).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -109 + 110. Sort a, 5, 0 in ascending order.\nAnswer: 0, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -212.77106 - 0.15894. Let d = n - -212. What is d rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 2*h. Let o be (h\/(-4) - -2)*1. Suppose -2*k = -4*s + 62, o*s - 2*k + 16 = 4*s. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**4\/n**(1\/5))**(19\/6))**(-16))**(-19) assuming n is positive.\nAnswer: n**(54872\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 6.1. Let d = 4 - n. Let m = 1.1 + 2.9. Put d, 0.2, m in ascending order.\nAnswer: d, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -737459 bigger than -737498?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from qqqqqdqqqqqqqqqqdq.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/20299261 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6 + 1 + j - 6. Let v(q) = 2*q + 4. Calculate 4*l(i) - v(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 4*k - 2. Let u(v) = 1. Let f(m) = -a(m) + 2*u(m). Let s be f(-7). Solve -4*g + s = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 h when two letters picked without replacement from {n: 2, m: 5, s: 8, h: 4}.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (97 - 222 - -133)*2\/(-408)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 36266.25 micrograms?\nAnswer: 0.00003626625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 527\/(-3)) + (2584\/57 - 45). Solve z = b - 177 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 122\/303 - 7\/101. Factor 0 + 0*i - 1\/6*i**3 - g*i**2.\nAnswer: -i**2*(i + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 25 - 11 + 36 + 6*m.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-91)\/7 - 13\/3 - -2.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21855 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, j: 5, n: 4}. What is prob of sequence ln?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**5 - 34791*v**4 + 382473*v**3 - 1564353*v**2 + 2815560*v - 1876932 = 0.\nAnswer: 2, 3, 11586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q - q**2 + q)*(3179 - 2843 + 1283 + 2249 + 5017)*(-q**2 + 2*q - 2*q) as f*q + v*q**3 + l + g*q**4 + t*q**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4671\/1072 + 195\/134. Find the common denominator of 67\/(-10) - (3 - 2) and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**3 + 354*n**2 - 696*n = 0.\nAnswer: 0, 2, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (926 - 0) + (-2 - 0). Suppose f = -2*f + k. Does 10 divide ((-6)\/4)\/((-21)\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmmzmmmmmmmmmmm. Give prob of sequence mzmc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45*b**5 + 3*b**2 + 1350*b - 4 wrt b?\nAnswer: 900*b**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/12 + (-3)\/12 + 3. Let m(v) = v**3 + 7*v**2 + 6*v + 6. Let a be m(-6). Solve a = t*x - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - x**2 + 2. Suppose -l + 5*p - 4 = 0, -4*l + 26 = p - 0*p. Let t(h) = h - 3. Calculate the remainder when v(2) is divided by t(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 286*i**4*t**2*u + i**2*t**2*u - 2*i**2*t**2 + 6*i**2*u - 6*t**2*u wrt i.\nAnswer: 6864*i*t**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*t - 253 + 331 = 0. Solve 4*z - 2 = -2*l, 12*z - 5*l = 15*z + t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9948\/22 - 6\/33. Suppose 0 = 4*o + m + f + 5547, m - 6001 = 4*o. What is o rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -5*u + 11 + 3, -8 = -5*u + n. Solve -7 = -z + u*k, -3*k + k - 16 = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -16, 2\/11, 1046 in decreasing order.\nAnswer: 1046, 2\/11, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7043 - 7028. What is the closest to q in 2\/9, 2\/5, -1, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - ((-20055)\/910 - 12\/(-312))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f - 28*f + 0*f.\nAnswer: -39*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 9801 = -5*t - 12153, -t - 2*z - 4388 = 0. Let a = t - -6725. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a hour in seconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01277811 rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1037830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(150) + sqrt(150) + (sqrt(150) - sqrt(150)*-2) + sqrt(150) - 1*sqrt(30)\/sqrt(5))\/(sqrt(200)*4*1).\nAnswer: -29*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjb when three letters picked without replacement from {r: 2, a: 1, b: 1, t: 2, x: 2, j: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23.3 - 23. Let l = -12 - -22. Let w be 15\/(-54) - 12\/(-24). Which is the closest to w? (a) u (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.6 - 0.9. Let p = t - 1. Let n = 0.2 - p. What is n rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2362 divided by -2362\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93438, -93437, -93438, -93441, -93446, -93453?\nAnswer: -93462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.5, 2\/5, 3, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -8. Let m = 5.7 - 5.3. Which is smaller: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 864491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f + 7. Let k(s) = -s**3 - 19*s**2 - 19*s - 26. Let p be k(-18). List the prime factors of d(p).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 258461 rounded to the nearest 10000?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 387\/258*3*1*-2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -14*p**2. Let v(t) = t. Let s(i) = -6*i. Let j(h) = -2*s(h) - 11*v(h). Determine j(c(g)).\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -85.758\nAnswer: -85.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90886627*u**2 - 153899789*u wrt u.\nAnswer: -181773254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 725 a factor of 738775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 6*b = 3*o + 168, -5*o - 22 = 4*b + 271 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-23 + 14 - -76) + (10 + -22 - -16)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -0.1, 1.3, -6, 56, 0.064?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 10737.3334 to the nearest 100.\nAnswer: 10700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 892*s**2 + 40*s**2 + 546*s**2 as p + g*s + x*s**2 and give x.\nAnswer: 1478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-82)\/861)\/((-2)\/14).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -877 - -874. Let s = 11 + -8. Which is the second biggest value? (a) 4\/5 (b) s (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5875 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/5 + 5853*d**2\/5 + 2822337*d\/5 - 31757913\/5.\nAnswer: 3*(d - 11)*(d + 981)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (124*w + 125*w - 9 - 251*w + 7*w - 3*w - 2*w + (2 + 3 - 3)*(2*w + 3*w - 4*w))*(-10 + 18*w + 10) to the form f*w**2 + b + c*w and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*k**2 - 1060*k**3 + 878*k**3 + 11*k**2 + 179*k**3.\nAnswer: -3*k**3 - 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 460038341 a multiple of 2517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k - 28. Determine g(-8).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b*r**3*y - b*r**3 + 18*b*r**2*y - 5*b - 3*r**3*y - 183*r**3 - 118*r**2*y - 2*r*y wrt r.\nAnswer: 18*b*y - 6*b - 18*y - 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 119*a - 32*a + 126*a - 18744. Let q(u) = -u**3 - 3*u**2 - 2*u. What is the remainder when a is divided by q(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + q - 56*q**3 + 29*q**3 + 49*q**2 + 29*q**3.\nAnswer: 2*q**3 + 49*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2816070 less than -19.76?\nAnswer: -2816089.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32043249867.55 + -49?\nAnswer: 32043249818.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1784260?\nAnswer: 2, 5, 89213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14130 divided by -6.\nAnswer: 2355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.3, 0.108 in increasing order.\nAnswer: -0.3, 0.108, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1e (base 15) to base 7\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -487, -493, -499?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 9564.81354 to the nearest ten.\nAnswer: 9560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11922 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b - b)*(b + b - 4*b)*(-66243*b + 821*b**2 + 66243*b).\nAnswer: 1642*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -8*m - 15 + 15. Calculate the remainder when 2\/7 - 152\/(-7) is divided by a(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/105 and -1\/45?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 307 + -331. Let o = -27 - y. What is the biggest value in o, 0, 0.2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 22 = 5*z - 59, 2*t + 33 = 5*z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2673?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 142405220 - 3?\nAnswer: 142405213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 0*a**2 + 3*a - 3*a - a**2. Let f(t) = 8*t. Determine b(f(o)).\nAnswer: -64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x - 2. Let c(k) = -7*k + 10. Let o(j) = -22*j + 29. Let y(a) = -8*c(a) + 3*o(a). Let d = 87 - 85. Determine d*y(v) + 7*f(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/12*1*(-10)\/(-50)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -15.3058.\nAnswer: 17.3058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/350 and -83\/350.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 1)*(t**3 - 6*t**3 + 3*t**3 + (-4*t + t - 5*t)*(2*t**2 + 2*t**2 - t**2)) as g + a*t**2 + v*t**3 + m*t and give v.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 3*r**4\/4 - r - 3. Let o be h(1). Suppose 2*c = -o*c + 72. Calculate the remainder when c is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -153, 5\/4, -0.5, 0, -2\/153?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o + 0*o = -3*o - 3657. What is the remainder when 452 is divided by o?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * 50975901\nAnswer: -5607349.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -z**2 - 981 + 229 - 4*z**2 + 3853*z - 3920*z wrt z.\nAnswer: -10*z - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 139180320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 181689 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/50311 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-6))\/(32\/(-12) - -3). Let r = 1 - 1. Which is the nearest to g? (a) -0.2 (b) 0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.01651 + 0.01651. What is the closest to a in 4, -2, 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4955793.\nAnswer: 3, 41, 43, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.38 + -0.48. Let w = -43.9 + 43.5. Which is the second smallest value? (a) 4\/13 (b) -3 (c) v (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(330) - sqrt(330))*5)\/(sqrt(121)\/(-2*sqrt(11))))\/(-6*sqrt(90)*-1*-2).\nAnswer: -5*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 16 - 7)*(4 + 1 - 4 + 1 - 2 + 3 + (4 - 1 + 0)*(-1 + 1 + 1))*(-47 + 47 + 10*s).\nAnswer: -2100*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 420419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 616598*q - 305655*q - 283315*q as a*q + r and give a.\nAnswer: 27628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4447 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 3*o - 2*o + 4*o - o - o + (2 - 4 + 1)*(4*o - 6*o + 0*o) - 3 - 2*o + 3 + 27*o + 7*o - 21*o)*(-o - 5*o + 4*o).\nAnswer: -34*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43\/3 + 15. Let j = -0.19 - -0.69. Let h be (-8)\/40 + (-7)\/(-10). Which is the closest to h? (a) -1\/8 (b) z (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -119 + 51 + 8 + 29.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*t + 34*t - 58*t - 56*t.\nAnswer: -184*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 + 3*q**2 - 5*q**2 + q**2 + q to p*q + l*q**2 + x and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 8 = 4*v - 2*g, -3*v + 5 = -2*v - 2047*g + 2046*g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, -13715, -2, -110 in decreasing order.\nAnswer: -2, -4, -8, -110, -13715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -10 + -4 + 29 + -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10222 + -22?\nAnswer: -10310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**2 + 3*i**2 + 0*i**2 + (1 + 4*i + 0 + 5)*(-5*i + 4*i + 0*i).\nAnswer: -5*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8)*(-16)\/(-30))\/((-2436)\/10150)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(3*sqrt(8)) - (sqrt(3) + sqrt(432)*-2) - 6*3*(sqrt(27)\/sqrt(3))\/sqrt(3).\nAnswer: 16*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.4 + 32.9. Let q = -29.4999989 + x. What is q rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 2*w - 2. Let n be s(4). Let o = 2 - n. Let q = -0.04 + -0.36. What is the second biggest value in o, q, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 170009*i + 90317 wrt i.\nAnswer: 170009","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 10:29 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 17 - 1\/20*f**5 + 0*f - 1\/24*f**4 + 1\/360*f**6 - 19\/3*f**3 + 0*f**2. Let r(d) be the third derivative of v(d). Give r(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**9\/3780 - o**8\/1050 - o**7\/1050 + 5*o**3\/2 + o**2. Let w(a) be the first derivative of p(a). Factor w(m).\nAnswer: -4*m**3*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100 + -1000212?\nAnswer: -1002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**4\/12 + l**3\/3 + 611*l**2\/2 + 9*l - 2. Is t(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**3\/5 + 444*f**2\/5 - 1623*f + 14478\/5 = 0. Calculate f.\nAnswer: 2, 19, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 1. Let q be c(2). Let i(h) = -4*h - 4. Let u(g) = g. Let j(l) = -i(l) - 5*u(l). Calculate j(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from kskzzakzzzk.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38832 divided by 2427.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**4 + 0*k**4 - 2*k**4)*((1 + 1 + 0)*(0*k - 3*k + 0*k) + 4*k - 2*k + 2*k).\nAnswer: -4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.204 and 7711.\nAnswer: 7710.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/6 - 3) + (-140)\/21. Let d(c) = c**2 + 5*c - 11. What is d(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 911 + -1480?\nAnswer: -569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29297*l - 36253.\nAnswer: -29297","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-3*(-6*(sqrt(128) + -1 + sqrt(128)) + 5))**2 + -3)*4.\nAnswer: -76032*sqrt(2) + 667896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-13))**(-21)*l**(-4\/7)\/(l\/(l*l**27\/l)) assuming l is positive.\nAnswer: l**(1795\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 359 = 2*n, 2*n - 389 = -0*p + 5*p. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-5 + 2 + 1 + 11 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4959567*j**3 - 2*j**2 + 171683047*j?\nAnswer: -29757402*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 5*u**2 - 2*u + 2. Let z(r) = -r - 1. Let g be z(-7). Suppose 5*j - t - 14 = 2*j, -3*j + g = -3*t. Suppose -v = -j*v - 20. Give w(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8164662 (base 9) to base 13.\nAnswer: b956a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-10)*v))\/v)\/v**(2\/33)*v**(-19\/4)\/(v**(-2\/87)*v) assuming v is positive.\nAnswer: v**(-22697\/1276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 490, 959, 1428?\nAnswer: 1897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 466 - 462. Solve 3*g - 2*m - 2 = g, -o*g + m + 10 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/15468858 and -19\/16?\nAnswer: 123750864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(170) - (sqrt(170)*-1 - sqrt(170)))\/sqrt(10).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5502 - 3208. Is 62 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 948 = 4*z, 777*z - 775*z + 378 = 2*o. Calculate the greatest common divisor of 60 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.65565nm in kilometers?\nAnswer: 0.00000000000165565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 59. Let c(p) = -3*p + 59. Let u(h) = -2*c(h) + 3*i(h). Let a be u(-12). Sort -2, a, -3 in descending order.\nAnswer: a, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (1 - 4 - 2 - 4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -23107*h**3\/2 - 18*h**2 - h + 10. Let v be s(-8). Let r = v + -114532. Round r to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) -1388 (c) 8793\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5 - -4)\/(-6))\/((-1)\/(-12))*-3. Let k(w) = -w + 1. Let y(t) be the third derivative of t**4\/8 - t**3\/2 - t**2. Let x(v) = 2*k(v) + y(v). Give x(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188 = -46*k + 180 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 19. What is the second biggest value in -0.3, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -67922.5836 + -7.\nAnswer: -67929.5836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 24?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/6298 and -0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*c + 3411. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*o + 4 = -0*s, -s + 4*o - 6 = 0. Let l(v) = 2*v**2 + v + 2. Let y be l(s). Suppose 16*b + 64 = 352. What is the highest common factor of b and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 163686, 163691, 163690, 163683, 163670, 163651?\n\"Answer: -3*v**2 + 14*v + 163675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thqixxi. What is prob of sequence qtx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from ppwmnaa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q = 30*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a = -4*h + 44, -3*a = 4*h - 23. Suppose -3*g + h = -11*g. Let x(d) = d**2 + 5*d - 7. Let q be x(-6). What is the nearest to q in -2\/17, g, -3\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 414481346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 1. Let f(y) = -y**2 + 7*y - 4. Let l be f(6). Which is the smallest value? (a) m (b) 2\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25266133 is divided by 71?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 6 - (65 + -65) - 1) + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134319256 is divided by 226.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 3*u + u**2)*(3 + 3 - 4) + (-u - 2 + 2)*(-4 + u + 4) + 9 - 9 - u**2 + (-3*u + u + u)*(-5*u + 4*u + 3*u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*u = -8*u + 127, 4*r - 229 = -5*u. List the prime factors of r.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 12 = 0, -j = -0*i - 2*i. Let p be 185\/10 - 12\/j. What is the greatest common factor of 10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7*t - 1. Let b be z(-4). Solve 5*f = 4*w + 28, -5*f + b = -3*w + 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/3371 + -6600\/239341. Are -1 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/6 + 99\/27. Put k, 3, 15 in ascending order.\nAnswer: 3, k, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82485879 to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 42 (b) 50 (c) -0.1 (d) -0.325\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -595, -432, 99, 998, 2265, 3900?\n\"Answer: 184*h**2 - 389*h - 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x + 1. Let l be s(6). Let w = l - 25\/2. Which is the second smallest value? (a) w (b) -3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 + -62. Sort 2, j, -15.\nAnswer: -15, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 10:15 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3647)\/2 - (-1 - (-10)\/4). Let b = -914 - l. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1855)\/(-30))\/7 - 8?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = -r, -2*x - 2 = 5*r - 9. Sort 31, -4, x.\nAnswer: -4, x, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 3*d + 32. Suppose 0 = -n - 4*n - 5. Let v(r) = -10*r**3 - r**2 + r + 1. What is the remainder when d is divided by v(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 1. Let x be p(-2). Solve -2*c + 5 + 3 = -5*y, -2 = -4*c + x*y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/20 - (-18)\/10. Suppose -d - 3*d = j - 242, 3*d = n*j - 539. Suppose -7*x - y = -4*x - 372, 0 = 2*x - 4*y - j. 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 cube root of 17880774 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -354935, -354922, -354903, -354878?\n\"Answer: 3*m**2 + 4*m - 354942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.3 (b) 2\/15 (c) 2 (d) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -39*w + 1209. Let h be u(31). Let p = 8 + -3. Solve -3*q + 15 = h, -p*b + 4*q - 49 + 14 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 8, -t - 4 + 17 = -b. Solve 4*o = t - 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + z + 15021. Let u be o(0). Suppose 27631 = 4*b - u. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/8 of a meter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 0.1662\nAnswer: 2.8338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 451*d**5 + 59*d - 1?\nAnswer: 9020*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1 = -55. What is the lowest common multiple of f and (-8)\/28 - (-1 - 69\/21)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115.49 - -115. Let g = -0.421 - f. What is g rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/(l**(1\/2)\/l))\/l)\/l*l*l*l\/(l**(2\/3)*l)*l*l*l*l assuming l is positive.\nAnswer: l**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*o - 68*o - 14505 = 2586. What is the remainder when o is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -727347, -727334, -727309, -727266, -727199, -727102, -726969?\n\"Answer: w**3 + 6*w - 727354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1801*v + 15 - 10.\nAnswer: -1801*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 10*h**3\/3 - 7*h**2\/2 + 21*h. Let f be c(-3). Let v = -61 - f. Solve -4*j = -v*j - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5\/32 (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 6 + 34. Suppose -g = -5*v + 1. Suppose -v*w - 2*w = 0. Solve 4*x = -w + 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 30537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50430877.\nAnswer: 7, 379, 19009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 547629780 to the nearest one million.\nAnswer: 548000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s = -2*q - 550, -4*q = s + 1115. What is the common denominator of ((-116)\/18)\/(16\/(-30)) and (-2468)\/q - (-2)\/7?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -193 + 447. Let r = w - 164. What is the greatest common factor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8009810 to the power of 1\/2, to the nearest integer?\nAnswer: 2830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, y: 2}. What is prob of sequence yy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o + 28. Is 8 a factor of n(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**3\/3 - d**2 - 7*d - 7. Let s be a(9). Suppose k = -5*r + 137, k = -2*r - 0*k + s. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 12*a - 7*a + 634680 = 0, 2*m - 4*a = 253870. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4041200 (base 5) in base 9?\nAnswer: 108356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/7 or -4?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 18. Let p be g(11). Suppose -2*i - h = -362, -5*h = p*i - 2*i - 895. Suppose 3*m - d = 4*d + i, 0 = d + 3. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -43, 222, -21 in descending order.\nAnswer: 222, -4, -21, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b - 3. Let s = 4 - 6. Let o = s - -7. Let y(i) = 4*i + 3. Let n(p) = 5*p + 4. Let g(x) = 2*n(x) - 3*y(x). What is o*g(a) - 2*l(a)?\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 47194, -2, 0.2, -1\/3, 0.02 in descending order.\nAnswer: 47194, 0.2, 0.02, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 42. What is the greatest common factor of 22 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 365741 - 2964533. Let n = -2598814.000004 - b. Let m = n - -22. What is m rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35.78 - -0.78. Sort p, -1, -3.\nAnswer: p, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249309?\nAnswer: 3, 27701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 695*f**3\/6 + 471*f**2\/2 - 25*f + 1. What is the derivative of d(y) wrt y?\nAnswer: 695","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162610261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**3 - 18945*s**2 - 29899944*s + 29918892 = 0.\nAnswer: -3158, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 25 = 3*x, 4*z + 7*x - 3 = 8*x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3376681766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0716 - -0.0746. What is the nearest to a in 0, -2, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -38, 4 in descending order.\nAnswer: 4, 1, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 705 + 120 = 3*l. Suppose -5*a + 5*z = -l, -a - 2*z + 34 = -36. Suppose -3*k = k - a. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*o*w**3 - 9*o*w**2 - 217478*o*w + 2*o - 944*w**3 - 4 wrt w.\nAnswer: 102*o*w - 18*o - 5664*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67821?\nAnswer: 3, 13, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hphwcgwhwwp. Give prob of picking 3 h and 1 g.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 268\/2546*(-1615)\/2?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + 453?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 + -59. Find t, given that k*t**4 - 14*t**4 + 6*t**3 - t**2 - 4*t**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4144)\/(-49) + 6\/14. Suppose 3*l = -y + 36, -2*l - x*y = -80*y - 37. Solve l*d = 8*d + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + 3*sqrt(180) + 3)*1*-6)**2 - (1 + 3*(sqrt(245) + 1)*1).\nAnswer: 5163*sqrt(5) + 104000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4. Suppose -c + 14 = -s*c. Suppose -c = -2*f + f. What is the remainder when 40 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*t + 36*t + 97*t**3 + 16*t**3 + 24*t**3.\nAnswer: 137*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4458 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61423?\nAnswer: 239, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (51\/(-15) - (-4 - -1))\/(8\/5). Let a = 5.12 + -0.12. Let o = -8 + 8.2. What is the nearest to n in o, a, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 50 = -p. What is the remainder when (149\/(-3))\/(-1*2\/6) is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*f - 1137*f**4 - 19*f + 962*f**4 + 5*f**5 - 180*f**3 + 10*f.\nAnswer: 5*f**3*(f - 36)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -x - 34. Are x and 1\/30 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n. Let s(t) be the third derivative of 0 + 0*t**4 + 10*t**2 + 0*t + 0*t**3 + 17\/60*t**5. Determine s(r(g)).\nAnswer: 153*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*z + 30, 5*r - 2 = -27. Suppose -z*u + 104 = 4. Let o = u - 2. Calculate the remainder when 25 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30020632777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 46927287853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003649162 to seven dps.\nAnswer: 0.0000365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**8\/6720 + u**7\/1260 + u**6\/240 + u**5\/60 + u**4\/2 + 5*u. Let a(z) be the third derivative of n(z). Determine a(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*x. Suppose -3*w = -88 - 44. Suppose -w = -5*u + u. Solve q = 3*a - u, -5*a - 3*q + 5*q + 19 = x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 34605, 34781, 34957, 35133, 35309?\n\"Answer: 176*w + 34429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45343885?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 + 65 - 65. Let i(x) be the first derivative of 7*x**4\/24 - 16*x**2 - 14. Let k(a) be the second derivative of i(a). Give n(k(f)).\nAnswer: -98*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 11*z. Let a(r) = -6*r**2 + 5*r**3 - 6*r**3 + 18 - 8*r**2 - 11*r. Let u be a(-13). What is the tens digit of g(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 53?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 7\/2*t**3 - 15*t - 3\/2*t**2 + 0. What is the derivative of w(u) wrt u?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccococc. Give prob of sequence coo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2. Let v(x) = 9*x + 9*x + 13*x - 3*x - 9*x. What is a(v(m))?\nAnswer: -1083*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 918898 and 18268784?\nAnswer: 9098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -45*h + 2. Let p(s) = s**2 + 4*s + 5. Let j be p(-4). Let y = 3 - j. Let t be k(y). What is t rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 203 - 211 - (-2 + 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 817026 = 18922*u - 474045 + 136829 for u.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2 + 2*t - 193. Let d be q(0). Is -193 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29614590*h**3*y - 3*h**2 + 122*h - 150*y + 1 wrt h.\nAnswer: -177687540*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 11:57 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 1194880?\nAnswer: 1194880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122330 is divided by 61160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**6\/120 + 13*z**5\/60 - 5*z**4\/12 - 2*z**3\/3 - 10*z**2. Let t be f(12). What is the highest common factor of t and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 6:13 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 188196 plus -0.0321?\nAnswer: 188195.9679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 4*b = -28, -3*o - 9 = 2*b - 3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a2281 (base 12) in base 6?\nAnswer: -32305441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22996953*t + 111935291 with respect to t.\nAnswer: -22996953","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*g*r**3 + 4*g*r**2 + 5*g*r - r**3 + 17*r wrt r?\nAnswer: -30*g*r + 8*g - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/948110 and 59\/4.\nAnswer: 1896220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 4:27 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -0.1. Let f = 9.93 - 4.93. What is the second biggest value in t, 0.1, f, 2\/15?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*d**3 + 7*d**3 - 5478*d**4 + 2*d + 515 + 5476*d**4 to the form h + w*d**3 + v*d**4 + y*d + q*d**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4948 + -4877. Let i = 446 + -233. Calculate the greatest common factor of i and z.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30686 and 787518?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + -2*sqrt(17))**2.\nAnswer: -252 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1551 + 449. Calculate the highest common factor of q and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342*z - 137*z = 131*z + 159*z - 3485 for z.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 2 = 3*u + 31, -45 = -15*m for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*v - 3*v**5 + 8*v + (-5*v**4 - v**5 + 5*v**4)*(-5 - 2 + 4)*(-4 + 3 + 0).\nAnswer: -6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*k = 208*k + 12. Put 5, 504, -2, k, 0 in ascending order.\nAnswer: -2, 0, k, 5, 504","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 10 - 11) + 6 + 13\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 549141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1730, 1731, 1732, 1733, 1734?\n\"Answer: n + 1729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 175509985?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/(-32) - (-14247)\/(-19140). Let t = -135719\/25520 + w. What is the common denominator of t and 7\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*r - 11*u + 15*u, -5*u - 25 = -0*u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6*l**3 + l**2 - 2*l - 3. Suppose 3*y - 6 = 24. What is the remainder when y is divided by v(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 11:28 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 + (8 - (-2 - -5)) - -29?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Add together 2.4 and -16.\nAnswer: -13.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + 3 - 11)\/(6\/(-36))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*828\nAnswer: 49.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3902050 divided by -780410?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s**(-2)\/s*s))**11*(s*s**(7\/5))\/s**(3\/11) assuming s is positive.\nAnswer: s**(722\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(320) + -5)*-4 + -4 + (sqrt(320) + (sqrt(320) + 3)*-6)*4 + 5)**2.\nAnswer: 21312*sqrt(5) + 58401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 u, and 1 z when three letters picked without replacement from icaaiziiiiaicacu.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*j + 4*l = 16, -j - 2*l = -5. Suppose 19 = j*t + 10. Factor -1\/3*a**t + 0*a**2 + a - 2\/3.\nAnswer: -(a - 1)**2*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -36*i**2 - 40*i + 32. Let m(w) = -12*w**2 - 13*w + 10. Let l(y) = -3*f(y) + 8*m(y). Factor l(g).\nAnswer: 4*(g + 2)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -53415?\nAnswer: -53411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-427)\/63 + 8 - 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 1 - (-553 - -1). Let y be (b\/6)\/(1\/18). Suppose -y = 3*d + 2*d. Round d to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 14*h - 5. List the prime factors of s(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.5011165um?\nAnswer: 501.1165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urmrmmmhmrmuumdmu. What is prob of picking 2 r?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*k + 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 8:39 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5078560, 5078548, 5078536, 5078524, 5078512?\n\"Answer: -12*c + 5078572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 + 17*j - 12. What is s(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 a when three letters picked without replacement from {d: 1, q: 1, p: 5, a: 3, j: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*h**2 - 47*h**3 - 39*h**3 + 97*h**3 + 82*h**2 - 38*h**2.\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/4*(105\/45 - 1). What is the second biggest value in -19, -1, c, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12039 = 17*q - 11869 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 33*d**2 + 143*d - 30. Calculate w(28).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2061403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*q - 140, 4*q - 9*q + 232 = 3*t. Calculate the highest common divisor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15, 11\/14, -2\/11, 0.4, 0.1352, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -456 + 372. Let t be 3 + (-7 - 344\/s). Which is the smallest value? (a) -2 (b) t (c) 0.1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 less than 0.26984489466?\nAnswer: -14.73015510534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 3*x + 4*x + 23, x + 8 = -g. Let u(b) be the first derivative of -b**3\/3 - 3*b**2 + 4*b - 1. What is u(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = h + 21, 2*h - 469*g + 34 = -467*g. Put -1, h, 4, -11, -5 in decreasing order.\nAnswer: 4, -1, -5, -11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4332 = 9*j + 213. What is the hundreds digit of (-87668)\/j - (-6)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491379851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/2136 and -163\/30.\nAnswer: 10680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 = 74*z + 312*z + 507 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 2 = i, d = 5*d - 3*i + 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -13*u + 2. Let s be t(5). Let v = 98 + s. What is the remainder when v is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, l: 2, p: 2}. Give prob of picking 2 p, 1 l, and 1 b.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 618 - 617.6. Put 3\/4, -2\/7, r, -3.1 in decreasing order.\nAnswer: 3\/4, r, -2\/7, -3.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-4) - 0)*(-19)\/(-114). Let d be 14\/18*(-36)\/(-63). Sort 0.4, d, x in descending order.\nAnswer: d, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 326 - 87. Suppose -4*i = -49 - k. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-30) + 8535864\/3420 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w**2 + 80*w - 92. What is x(-17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7395020.\nAnswer: 2, 5, 369751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.3? (a) -638 (b) 0.3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 6 - 328 = 29*m - 77, 0 = m - 4*s + 1 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -34113644 (base 7) in base 14?\nAnswer: -571524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14, -61, -144, -269, -442, -669, -956?\n\"Answer: -z**3 - 12*z**2 - 4*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = u + 16*f, 2*u - 3*f + 586 = 584 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468) + (sqrt(468) - sqrt(468)*-3*-1) + sqrt(156)\/(sqrt(108) - sqrt(12)) + (-1 + sqrt(13))*1.\nAnswer: -9*sqrt(13)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(70)\/sqrt(2))\/sqrt(5) + sqrt(7) + -5 + (-3 + sqrt(21)\/sqrt(3))**2.\nAnswer: -4*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in 0.202, 0.5, 27, -4?\nAnswer: 0.202","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15336, 30507, 45678, 60849?\n\"Answer: 15171*m + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 215 + -1759\/8. Let j be 2\/8 - (-429)\/12. Find the common denominator of a and 4\/(-14) + j\/21.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.88 + 7.98. Let z be (-2)\/(-2)*-6*2\/(-3). Let g = 4.9 + 0.1. What is the closest to v in g, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from {f: 4, n: 2, g: 3, x: 2, m: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 4*h - 3*h + (5 - 4 - 2)*(-h + h - h) + 5*h - 9*h - 5*h)*(-6 + 6 - 3*h)*(12 + 13 - 8).\nAnswer: 459*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*h**3 + 65768*h**2*r + 53909514*r wrt h.\nAnswer: -18*h**2 + 131536*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 1:47 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.6 and 0.086?\nAnswer: 0.6536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -538*d**2 + 1589*d**2 - 535*d**2 - 530*d**2.\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * -165.\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/14)*o)\/o**(4\/7) assuming o is positive.\nAnswer: o**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123408079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a week in hours?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269711216.\nAnswer: 2, 97, 173783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19207371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = 5*q - 70. Let j(g) = 2*g**3 - 11*g**2 + 9*g - 7. Let u be j(q). Put -1, -4, u, -5 in decreasing order.\nAnswer: u, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*j = -15129 - 18514 + 2234 + 4505. Suppose -5*k = -0*k - 200. What is the remainder when j is divided by k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - -43.84. Let w = -5.7 - -6.28. Let c = g + w. Round c to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 552218*r**5 - 5884*r - 20.\nAnswer: 11044360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 - ((1 - -2) + -42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6105 and 5?\nAnswer: 6100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) -5 (c) 1\/5 (d) -3\/70 (e) -2 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2 - 8 = 0. Let u be 13 + (-3)\/(12\/(-8)). Suppose 2*x - u = -3. Let d(b) = -4*b**3 + 6*b**2. Let a(l) = -3*l**3 + 5*l**2. What is x*a(w) + z*d(w)?\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16829 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*p + 166, 2*x + 2*p - 4*p = 90. What is the remainder when 12033\/56 - 1 - 2\/(-16) is divided by x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4520.\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -37 and -1889\/53 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*s - 16. Let n = 18 + -6. Let j = n - s. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/6 - 374500\/(-264). Let l = -1418 + f. Find the common denominator of 97\/14 and l.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40054422*z**4 - 76585322.\nAnswer: -160217688*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776861283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-2 + 1)*23. Suppose 3 = 3*p - 9. Suppose 5*f = -4*s + 736, -p*f - f - 965 = -5*s. Calculate the highest common divisor of s and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -92 + 88. Let v(m) = -111*m + 13. Is v(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**4\/12 - 13*r**3\/6 + 75*r**2 + 2*r - 24. Calculate the remainder when 327 is divided by z(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4387 and 1102255685?\nAnswer: 4387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -14 - 2*c**4 + 2*c**4 + 0*c**2 - 2*c**4 - c**2. What is the second derivative of v(y) wrt y?\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**3\/3 - 2*m**2 + m. Let c(v) = v**3 - v**2 - 2*v + 1. Let o be c(2). Let l be ((-1)\/1)\/(o\/(-6)). Give p(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**0*v*v**(-2)*(v*v**(-5)\/v)\/(v*v**(-4)))\/(v\/(v\/((v*(v\/(v**(2\/17)*v))\/v)\/v*v))*v**(4\/3)*v*v)**(-3\/10) assuming v is positive.\nAnswer: v**(-88\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.22 and -34.7?\nAnswer: 34.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*a + 5*y = 5, -2*a = -4*y + 4. Is 4\/9 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 384.99961 + -385. What is w rounded to five dps?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nad when three letters picked without replacement from {i: 1, d: 1, e: 7, a: 7, n: 2}.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*m - 12*m - 3. Solve 0 = -p + m + 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3014 + 3811 - 805 + 5*h.\nAnswer: 5*h - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 3:43 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3*v + 25*c**3 + 32*c**2*v**2 - 2*c**2*v - 21*c*v**2 - 5*c*v + v**2 - 20*v - 4 wrt c?\nAnswer: 12*c*v + 150*c + 64*v**2 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9885699 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -3\/2*z**5 - 186*z**2 + 1\/2*z**3 + 0 - 1\/4*z**4 + 1\/120*z**6 + 0*z. What is the second derivative of k(a) wrt a?\nAnswer: 6*a - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-1)\/(-6) + 0) - (-4)\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -410*a**3*k**3 + 2*a**3*k**2 - 14*a**2*k**3 - 7*a**2*k**2 - 21*a*k**3 + 8760*a*k**2 - 2*a wrt k?\nAnswer: -2460*a**3 - 84*a**2 - 126*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 63a5581 + 3?\nAnswer: 63a5584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-74 - (-18 - -2) - (-3 + 3)) - -7\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8819 - -9062. Which is the closest to v? (a) 2 (b) 0.1 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/486*6)\/((-1)\/(-6)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10103021012 (base 4) to base 5.\nAnswer: -242030412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 310*y**4 - 3*y**3 + 6*y + 304. Let w(z) = -310*z**4 + 4*z**3 - 8*z - 305. Let t(r) = 4*k(r) + 3*w(r). Find the first derivative of t(n) wrt n.\nAnswer: 1240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0. Sort -2, 4, n in ascending order.\nAnswer: -2, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-3 - 3) - (6 - 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-50)\/(-5) + 4*1. Suppose -n*c = -16*c + 46. Suppose j = c + 37. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 432*n + 352. Let m(k) = 46*k + 39. Give -28*m(f) + 3*z(f).\nAnswer: 8*f - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-96)\/(-18))\/((-6)\/(-9)). Suppose -2*d = -n*d + 12. Solve 0 = d*h - 4*r, -5*h + 2*r = 3*r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/888 and -53\/51208.\nAnswer: 153624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2630 + 3116 + 120 + 865 - 119)*(-3 + z + 3).\nAnswer: 6612*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 5. Let w(v) = 4*v**3 + 4*v + 3 - 2 + 6*v**2 - 4*v**2. Is w(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 10. Suppose -m*o - 72 = -6*o. Let x be (-14424)\/o - (-4)\/(-6). Round x to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3*v + 357, -377 = -16*y + 15*y + 2*v. Suppose -5*j - t = -407 - 185, 4*t + y = 3*j. What are the prime factors of j?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 14. Is 195 - l - (1 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)*-1 + -1 + sqrt(125) - (sqrt(125) + 3 + sqrt(125)*-1))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 7:58 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - -6)\/(2\/(-6)). Let a = -26 - o. Suppose 2*r - z = -2*z - 14, 4 = -z. Put -1, r, a in descending order.\nAnswer: -1, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -16166250 and -16166250 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 6*v**3 + 0*v + 0*v**2 + 0*v**4 + 28 - 9\/5*v**5. What is the third derivative of x(z) wrt z?\nAnswer: -216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, g: 6, w: 8, r: 1}. What is prob of picking 1 y and 1 g?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358 = 19*z - 320 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -381449, -385183, -391407, -400121, -411325, -425019, -441203?\n\"Answer: -1245*r**2 + r - 380205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 + d + 3. Let l be n(0). Sort 1, -4, l.\nAnswer: -4, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1357 is divided by 96.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 20, -2*x + u = 2*u + 1. Suppose -x*z + 16 = 10. Suppose -z*c - c = -60. What is the highest common factor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 64\/27 in 0.18, -4, 5, -0.1?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d - 11. Let v be s(9). Suppose 2*p = 15 - v. Let b = 7 - p. What is the highest common divisor of 45 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/15292740 and 137\/45878220.\nAnswer: 45878220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggccgcggcccccgcccc. Give prob of picking 3 g.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**5\/11 + 6390*v**4 - 70292*v**3\/11 = 0. Calculate v.\nAnswer: -35146, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -411\/5123, -4?\nAnswer: -411\/5123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.052, 13\/21, 4, -4?\nAnswer: 13\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2 + 2 - 3 - 6*n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*u = 60205, -5*u - 60957 = -3*y - 703. What is the thousands digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279 = -122440*o + 122449*o for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*a = 2*n + 3, 8 = n + 2*a. Suppose 796 = 5*u - n*w, 2 + 0 = w. Let q = 635\/4 - u. Sort -1\/6, q, -13 in ascending order.\nAnswer: -13, q, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7161 take away -1129108001?\nAnswer: 1129100840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102762, -102969, -103176, -103383, -103590, -103797?\nAnswer: -104004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21043613.4 and 32.\nAnswer: -21043581.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.087 - 0.117. Round b to 3 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 21 = 9*x - 6*x, 2*x = 4*q + 22. Suppose x*y = 1035 + 715. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**6\/480 + u**5\/240 - 134*u**2 + 2*u - 18. Let f(j) be the second derivative of i(j). Suppose f(q) = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + -60 + (-1 - 1 - -12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnmvvw. Give prob of sequence ww.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2138.7 - -2133. What is the third smallest value in h, -11\/5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*i**4 - 10682*i**3 - 4*i**2 - 366267*i + 34 wrt i?\nAnswer: 156*i**2 - 64092*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2)*(-4)\/((-6)\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-5) + -3 + 1. Let b be (2 - 2)\/(-3) - w. List the prime factors of (-2)\/b*3 + 17.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 813492430?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(2\/5))*k\/(k\/(k\/(k\/(k*k\/(k*(k*k*k*k**0)\/k))))))\/((k*k*k*k\/((k\/(k\/(k*k**(-2)*k)))\/k))\/k**(1\/2)))**(-36\/11) assuming k is positive.\nAnswer: k**(918\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v + 9*v + 119 - 2*v**3 + 232 + 253.\nAnswer: -2*v**3 - v + 604","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 3*d**2 + 0*d**2 - 16 + 48 - 15.\nAnswer: -3*d**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12439184, -24878374, -37317574, -49756784, -62196004, -74635234?\n\"Answer: -5*i**2 - 12439175*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3333\/4 - -16681\/20. Which is the nearest to y? (a) 0.1 (b) 3 (c) -3\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*z - 2*z, 0 = -4*l + 4*z + 40. Suppose -5*m = 2*d - 259, 5*m - l*d - 42 = 203. Let x = 76 - m. What is the highest common factor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z - 28 = 20*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 440843520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-5) - 69\/(-15). Let s be 17\/(-11) + -4 + m. Let x = -5 - -4. Which is the smallest value? (a) s (b) x (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131120831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139324934.\nAnswer: 2, 7, 811, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.16 and -244?\nAnswer: -39.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 321914 - 183147. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670144 is divided by 212.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13 and 145.\nAnswer: 1885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 12. Let g be b(-14). List the prime factors of 1*g*(-531)\/(-36)*2.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 8*f - 103. Let z be g(7). Let i be ((-392)\/70)\/((z\/80)\/(-1)). What is the greatest common factor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r. Let k(p) be the second derivative of -p**4\/6 - p**2\/2 + 9*p. Let o(m) = m + 4. Let c be o(-6). Let i(y) = c*u(y) - k(y). Determine i(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -255766 - -0.252049.\nAnswer: -255765.747951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1228 + -1227.999999349. Round b to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -391 + c + 391 as w + x*c and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 50407 (base 9) to base 11\nAnswer: 22994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*a - 4*x, 2 = -a + 5*x - 15. Let h(d) = d**3 + 3*d**2 + 2*d - 2. What is h(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 13*b = -72. Let j(f) = 126*f - 195. What is the hundreds digit of j(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(56) - 1*sqrt(8064)))\/(-5*sqrt(24)\/(sqrt(6)\/sqrt(2))).\nAnswer: -11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 147, -1.7, 1275, -3\/5, 0.18 in descending order.\nAnswer: 1275, 147, 0.18, -3\/5, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -212 + 30. Let p(x) = -x**2 + 88*x - 968. Let t be p(13). What is the highest common factor of i and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**3*n*q**3 - 25667*g**3*n*q + 2*g**2*q**2 + 2*g**2*q - 13*g**2 - 16*g*n*q**3 - 145*g*n*q**2 wrt g?\nAnswer: 12*n*q**3 - 154002*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29696 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.07 (b) 18 (c) -2\/7 (d) -0.34 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2350*q**2 - 14007*q - 91. Give n(6).\nAnswer: 467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 483530406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2866 minus 0.3?\nAnswer: 2865.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-7))\/q)**(-2\/19)\/(q**(1\/9))**(1\/4) assuming q is positive.\nAnswer: q**(-523\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 12*w**2 - 167*w - 125. Let f(g) = 4*g**2 - 55*g - 42. Let o(c) = -8*f(c) + 3*x(c). What is the hundreds digit of o(22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 5)*(-n - 4*n + 2*n)*(-2 - 1 + 4).\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1877 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 3*r**2 - 3*r - 1. Let f(g) be the second derivative of g - 4*g**2 + 0 - 1\/6*g**3. Let m be f(-6). Determine q(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**2\/7 + 93000*f\/7 + 1081125000\/7 = 0.\nAnswer: -23250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 53, 139, 261, 419, 613, 843?\n\"Answer: 18*c**2 + 32*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15579 rounded to the nearest 100?\nAnswer: -15600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - p - 10. Let q be j(0). Suppose 150*u = 189*u - 117. Put q, u, -1 in descending order.\nAnswer: u, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3199 + -c4c?\nAnswer: 224a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314610119?\nAnswer: 1637, 192187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcs when three letters picked without replacement from hswwssshdc?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-15))\/(-2*3\/18). Suppose -4\/5 + 6\/5*c - m*c**2 = 0. Calculate c.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**5 + 3*n**5 + 3*n**5 + (5*n - 5*n + 30*n**2)*(-4*n**3 + 4*n**3 - 2*n**3) + 0*n**5 + 3*n**5 - 7*n**5.\nAnswer: -61*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 7*r + 44. Let a be f(11). Suppose 20*c + 6549425 - 31369425 = a. Round c to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*x + 19*x + 0 + 1)*(0 - 5*x**3 + 0).\nAnswer: -10*x**4 - 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((5*sqrt(76) + sqrt(76))\/sqrt(4))**2 + 1 + 2*sqrt(684)*4.\nAnswer: 48*sqrt(19) + 689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -175 + 175. Suppose 2*h = 3*j + 711, 5*j + 17 - 42 = r. What is h rounded to the nearest 10?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - w**2 + w - 1. Let s(q) = 3*q**3 + 4*q**2 - 2*q + 5. Let h(b) = -d(b) - s(b). Let t(g) = g**2 - 2*g - 38. Let v be t(7). Does 17 divide h(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -265 (b) -5 (c) -0.5 (d) -4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 + 9389*z - 2. Let q(o) = -6*o. Give w(q(d)).\nAnswer: 72*d**2 - 56334*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cctzkej. Give prob of sequence ek.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 5*t + 35, 48*f - 1605 = -5*t - 880 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 177680 rounded to the nearest one thousand?\nAnswer: 178000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/6*12\/8. Let u(d) = -5*d - 1. What is the remainder when 68 is divided by u(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 0.7 (c) 1 (d) -1.3 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**1*z*z*z)*z)\/((z*z**(-2\/15))\/z*z))\/(z**(-2)\/(z\/(z*z**(-1)))) assuming z is positive.\nAnswer: z**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from {n: 1, a: 2, h: 9, k: 1}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339174.\nAnswer: 2, 3, 11, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 9:41 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(3\/5)*c))\/((c\/(c*(c\/c**(-2\/19))\/c))\/c))**(3\/13))**(-1\/3) assuming c is positive.\nAnswer: c**(-48\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n + 43*n - 60 = 382 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 74*m - 480. Calculate x(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/9 and -64\/27435?\nAnswer: 82305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 9:25 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1571*h**2 + 14*h**4 + 1571*h**2)*(61 + 26 - 3 + 8) + (1 - 1 - h**3)*(2*h + 0 + 0) - 2*h**4 + 2*h**4 - 2*h**4.\nAnswer: 1284*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 151540 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.6, -1.8, -0.3, 0.5, 1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 150\/15 - (-1290)\/(-130). Let w = 3\/35 - 17\/35. Sort w, 3\/2, v, -5\/3 in decreasing order.\nAnswer: 3\/2, v, w, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -570 = 25*t + 5*t for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-5)\/(-20)*9)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x. Let j(u) be the third derivative of -u**7\/504 + 7*u**5\/60 + 6*u**2. Let a(y) be the third derivative of j(y). What is a(n(z))?\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 2 - 250*o**3 - 247*o**3 - 45*o**3 - 281*o**3.\nAnswer: -823*o**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -98536.496 to the nearest 100.\nAnswer: -98500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 468 and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 15, -2\/5, 60, -11?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905178 is divided by 67.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 193.8449ml?\nAnswer: 0.1938449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 - 50*c - 255. What is g(-6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-66) + (-19570)\/2220 + (-36)\/20*-5.\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1301133021 + -1?\nAnswer: 1301133020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 1 - -2)*5. Suppose -5*v = 3*l - 6 - j, v - 2*l = 1. Solve -3 = -v*p - 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 1191164?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1443625 millilitres?\nAnswer: 0.0001443625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 997662?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 17 - -15 - (39 - 0)) + (-7 - -4)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 1. Let f(j) = -2*j + 2. Let k be ((-4482)\/252 + 18)*14. Calculate k*f(o) + 8*v(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38434301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4225.21, 3, 71, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(4\/(-10))*-2. Find the second derivative of -2*h**5 - 2*h - h**d + h wrt h.\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 14. Which is the nearest to h? (a) -1\/23 (b) 0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 946.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*v**3 - 3*v**2 + 7*v**3 - 6 - 18*v**3 - v**4 + 2*v**3 in the form o*v**4 + x*v + i*v**2 + a + d*v**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 255, 1013, 2277, 4047, 6323, 9105?\n\"Answer: 253*v**2 - v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from {l: 1, u: 2, c: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15808?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t**(1\/2)*t)\/t)**(-7\/5)*(t\/(t*t*t**(2\/5)))**(10\/9))\/(t**(3\/7)\/(t**(-2\/7)*t)*(t\/t**(-1\/2))**(-35)) assuming t is positive.\nAnswer: t**(3007\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-24)*-1*2\/(-20). Let j(k) be the second derivative of 3\/20*k**5 - 1\/12*k**4 + 0*k**2 + 8*k + 0 + s*k**6 - 1\/2*k**3. Factor j(h).\nAnswer: h*(h - 1)*(h + 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/49530 and -157\/188214.\nAnswer: 941070","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, i: 8}. What is prob of sequence ii?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6536)\/56 - 4\/14. Let o = v - -168. List the prime factors of o.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/43)*u)\/u)\/(u**(-1\/3)\/u*u)*u**(-8)*u*u**7 assuming u is positive.\nAnswer: u**(166\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -8824 and -827.\nAnswer: -9651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -20, 1.\nAnswer: -20, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 18 = 6*k, -2*k + 6 = 3*t - 8. Solve 0 - 9\/5*m**3 + 7\/5*m**2 - 2\/5*m + m**k - 1\/5*m**5 = 0 for m.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (96\/36 - 4)*(-23208)\/4. Which is bigger: v or 7737?\nAnswer: 7737","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 760 = 3*c + 4*i, -2*c - 5*i = -6*c + 1065. Let k = 501 + -449. Calculate the highest common divisor of k and c.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/6 + 176*s\/3 - 28073\/6 = 0.\nAnswer: -419, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*z = 80*z + 4*f + 4, 5*z = -4*f + 20. What is the remainder when 268 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-10))\/(112\/560)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 - 6.1. Let j = r + 16.9. Round j to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177163 - 177163 + 10*t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 9:50 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 - 30. Let p = f + -25. Is p equal to 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12664*-1*(297\/36 + -9)?\nAnswer: 2, 3, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**3 - 25*f**2 + 34*f - 103. Give y(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - -7 - (-6 - (6 + -19)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*v = -6 - 8, -5*u + 4*v - 2 = 0. Let f be (u\/(-6))\/(-4 + 50\/12). Is (2127\/12)\/(0 - f\/(-8)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -170.56 - -170.46. Which is the closest to -0.2? (a) 2\/43 (b) -11\/6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 296\/(-64) + 15\/(-40). Let b(w) = w**2 + 4*w - 7. Let c(u) = u**3 + 13*u**2 - 6. Let q be c(-13). Let z be b(q). Put 1, j, -9, z in decreasing order.\nAnswer: z, 1, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 522 - 516. Let w(t) be the third derivative of -1\/20*t**g + 0*t**4 + 1\/30*t**5 - 4*t**2 + 0*t - 1\/6*t**3 + 0. Determine w(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2442027659 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 10*r**3 - 2*r**2 + r + 2. Let u be m(2). Let x be 0 + 3 - 6\/42*0. Suppose 114 = 9*w - x*w. Calculate the greatest common divisor of u and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 440, 610, 892, 1286, 1792, 2410, 3140?\nAnswer: 3982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -604\/43 > -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 42 + 6. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 21 = 5*f, 3*x + 5*f + 12 = 2*x. Suppose d - 2 = 3*u, 5*u = -3*d + x*u + 50. Let q be ((-227)\/(-2))\/((-7)\/d). Round q to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310725417439*f - 310725417439*f + 4*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i + 4 - 4 + 1 - i. Let j be k(2). Suppose -j*t = -1 - 4. Sort -4, 3, t.\nAnswer: -4, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 440 = -30*n, -n - 4*n - 5*b + 3*b - 18 = -6*n - 1 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 + 153 = -5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -31*k - 36 + 96 + 8*k + 17*k - k**3 + 8*k**2. Let a be r(8). What is the greatest common factor of a and 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108234, -215945, -323656, -431367, -539078?\nAnswer: -646789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 7:27 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 250 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -15. Let p = 0.3 + -0.4. Which is the nearest to x? (a) p (b) 4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44715 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062 a factor of 5281496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 127309, 20 in ascending order.\nAnswer: -3, 20, 127309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 320 + 0?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -5) + 66\/2. Let l = 232 - 84. Calculate the highest common factor of d and l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 4:46 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*v + 11 - 152 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w**2 + 90*w - 220. What is the least common multiple of b(-18) and (-5)\/2*(-4)\/5?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 f when three letters picked without replacement from fxfxx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 239 - 529. Let i be 2\/9 + (z\/(-18))\/(-5). Put i, -4, -1, -1\/3 in decreasing order.\nAnswer: -1\/3, -1, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w + 101. Let c(b) = -64*b**2 + 1536*b + 24. Let l be c(24). Determine d(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.2 - -4.4. What is the nearest to j in 1, 2\/13, -10?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75*c**2 + 477*c**2 + 24*c**2 - 198*c**3 + 157*c**2 wrt c.\nAnswer: -1188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1215, -9794, -33097, -78492, -153347, -265030, -420909, -628352?\n\"Answer: -1228*h**3 + 6*h**2 - h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y = 33*y - 6. Suppose -y*x = -2*w + 3*w + 1358, 1818 = -4*x - 5*w. Let r = -303 - x. List the prime factors of r.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.43 + 0.03. Let f = -41 - -41.92. Let l = 0.08 + f. Which is the closest to l? (a) 4 (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -1 - 4 - ((-13 - 13) + 29)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - 16 - -7) + -11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395*z + 50976 = -107*z. Which is smaller: z or 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence geg when three letters picked without replacement from eeegg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrxsfnu. What is prob of picking 1 r and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204297?\nAnswer: 3, 68099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 7*l**2 + 11*l - 6. List the prime factors of c(-11).\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10050646 - 477*j + 10050646.\nAnswer: -477*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from {w: 1, o: 1, h: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36375 - -47?\nAnswer: 36433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10361.86 + -10362. Which is the fourth smallest value? (a) -3\/2 (b) 1\/11 (c) q (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 25 = -z - 5*x, 2*z - 2 = -2*x. Let s = z + 3. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 323 and 1874 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 698 + 199 = 26*m - 16419. Calculate the lowest common multiple of m and 45.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 75\/2 (b) 3 (c) -5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 4*z - 10. Let o be m(-6). Let x be 39\/297 - o\/9. Sort -0.1, -2, x in descending order.\nAnswer: x, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 29. Let n = w - 5. Let f = -6.182 + 6.182. What is the biggest value in n, -0.5, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/7, 5\/4, 1\/6, 1\/4, 225 in decreasing order.\nAnswer: 225, 5\/4, 1\/4, 1\/6, 1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 53*y - 6936 = -1020. What is the highest common factor of y and 10034?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0446*0.36\nAnswer: -0.016056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -80 + 85 + (-5)\/((-220)\/(-224))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 times -6.9957?\nAnswer: -7.69527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i = 119*i + 774 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -3*l - 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1623 - -1623.1. Which is the second biggest value? (a) -1\/6 (b) -1\/10 (c) -0.5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/63)\/(4\/12)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23 - 51\/2 - (-90)\/16 and 71\/106.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 17*q**5\/5 + 32*q**3\/3 + 18. What is the third derivative of u(g) wrt g?\nAnswer: 408*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24196561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -545429 plus 0.8?\nAnswer: -545428.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3413 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -356*j*s - 301*j + s wrt s?\nAnswer: -356*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + ((-14131)\/3416 - 3). Let d = 14\/197 + -6241\/96136. Let l = n - d. Find the common denominator of l and -4\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -7. Let m = -1 + r. Let p = m - -2. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1786865 milligrams to kilograms.\nAnswer: 0.0000001786865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 186262116 to the power of 1\/3, to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 100*k + 204*k - 43*k**2 - 102*k - k**4 + k**3 to the form t*k**2 + h*k + u*k**4 + v*k**3 + s and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -20*x**2 + 39*x + 30. Let i(s) = -10*s**2 + 18*s + 15. Give 6*g(w) - 13*i(w).\nAnswer: 10*w**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 23, 0 in ascending order.\nAnswer: 0, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 102340?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 558621 and 315.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13862801 a multiple of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Factor -v**5 - 230*v**4 - 14497*v**3 - 142572*v**2.\nAnswer: -v**2*(v + 12)*(v + 109)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/7*i**4 + 0*i + 648\/7*i**2 - 72\/7*i**3 + 0 = 0. What is i?\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*n**2 + 35*n**2 + 28*n**4)*(4 - 5 + 2) + (2*n - n + 0*n)*(6*n**3 - 2*n**3 - 2*n**3) - 2*n**4 - 2*n**4 + 5*n**4.\nAnswer: 31*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0463 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8987 is divided by 1492?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 4:46 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 225391*d**2 + 104 - 58 - 22715*d**2.\nAnswer: 202676*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -113.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 11*m)*(1 + 3 - 5) + 6*m + 1 - 10*m + 1.\nAnswer: -15*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 3:17 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3071 - -3078. What is the greatest common factor of n and 532?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182421258 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -36*i**2. Let f(j) = 7*j. Determine f(g(u)).\nAnswer: -252*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -215540512 (base 6) to base 4\nAnswer: -32330032130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 + -43 + 17 - (5 - 5).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rdadrafrdrf. What is prob of sequence afd?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 36 and -191.1232 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = -8*h - 20. Suppose h*i - 8 = 7, 0 = -4*s - 5*i + 479. What are the prime factors of s?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-816)\/952)\/((-9)\/(-14)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4333 or -3573736\/825?\nAnswer: -3573736\/825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*b**2*n**3*q**2 + 2*b**2*n**2*q + b**2*n**2 + 2*b**2*n*q + 2*b*n**2 - 4*b*n*q**2 + 2*n**3*q**2 + 39*n**3 wrt n?\nAnswer: -216*b**2*q**2 + 12*q**2 + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112132 - 112128. Let s(n) = 2*n + 2. Let d(t) = 0*t + 1 - t + 2*t. Give q*d(h) - 3*s(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1583590.837 to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 + 254*s**4 + 19 - 253*s**4 + 0*s - 2*s - 39 to m*s**3 + r*s**4 + o*s**2 + p*s + h and give h.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190150, -190161, -190174, -190189, -190206?\nAnswer: -190225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111000000110 - -1000?\nAnswer: -11110111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -191813 * 179\nAnswer: -34334527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3209 or 3208?\nAnswer: 3208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**3 - 38101*i**2 - 95215*i + 476200 = 0.\nAnswer: -19048, -5, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + 98 + (-86 - -42).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*d = -39*d - 60. Suppose 2768 = 4*h - j, d*h + j + 1382 = 32*h. Is 81 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 h, and 1 r when three letters picked without replacement from {e: 2, r: 2, h: 6, v: 1}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9, -3, -6 in decreasing order.\nAnswer: 3, -3, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 56882135 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2. Let y(t) be the first derivative of 0*t + 1\/2*t**2 - 1. Determine y(n(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hov when three letters picked without replacement from {v: 1, x: 2, o: 1, h: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 431\/16 + -1325\/48. Let d be (2 - (-11)\/(-4))\/3. What is the nearest to 0.14 in d, n, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 50*q**2 + 926*q - 2839. Calculate i(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 3, p: 10, h: 1, x: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 4?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-128)\/(-144))\/(30\/(-135)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -t - 5. Suppose 2*n - 4*s - 28 = 0, -3*n - t*s + 3*s + 34 = 0. What is the greatest common factor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10*(-17)\/765 - (4786\/2412 + -2) and -25\/108?\nAnswer: 7236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 0, -9 in ascending order.\nAnswer: -9, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5272 - -8008. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3136\/9 + 2\/9*v**3 - 12*v**2 + 448\/3*v = 0.\nAnswer: -2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 120*y + 962. Let v be r(-8). Factor -1\/7*p**v - 36\/7 - 12\/7*p.\nAnswer: -(p + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 4 - 3 + 0 + k. Let q(p) = -6*p**3 + 5*p**2 - p + 1. Let a(v) = -v**3 + v + 1. Let g(c) = -4*a(c) + q(c). Give g(l) + 5*w(l).\nAnswer: -2*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((4\/(-40))\/(32\/(-15))). Suppose -70 = -65*v + q*v. List the prime factors of v.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 greater than 17835733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -786 + 12?\nAnswer: -774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/348 and 27\/2372?\nAnswer: 206364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 10037300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -2)\/(4 + -3). Is -3 + (518 + -3 - v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by -10?\nAnswer: -57\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -14720*k - 529940. Determine p(-36).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 7 - (0 - 0 - 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 43*h + 319. Let q be p(-5). What is the highest common divisor of q and 96?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8.9 less than -72\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17a0 - 4808?\nAnswer: -64a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 19*j**3 - 5*j**2. Let d(h) = 4*h**3 + 2*h**2 - h. Give 2*d(g) - m(g).\nAnswer: -11*g**3 + 9*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 4*i - 145 = -167, 6*r + 24 = -3*i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 = 4. Let d be ((-275)\/35)\/(-5) + t\/(-2). Determine u so that -d*u + 2\/7*u**2 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-6)*28\/6. Suppose -3*u = 2*v - v - 16, 4*u - 3*v = 17. Suppose 3*c = y + u. Solve 0 = -c*b + 2*s - 6, -2*s = -5*b - 0*s - 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -9*o + 14*o - 4*o - 66, -o - 4*o + 82 = 2*s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 13 + 12 = 0, 3*s + 2 = y. Suppose 4*b + 5*h = 61, 0*h - 41 = -2*b + h. Let o = s + b. What is the remainder when o is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3067 + 4448 = 5*t + 1445. What is the remainder when t is divided by 178?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*i + 42 = -270*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*u - 350, s - 5*u - 47 = 3. Let o be (-2)\/(-9) - (-9 - s\/27). Solve -3*d = -2*c - 6 - 1, 0 = -3*c + 5*d - o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x + 6. Let l(d) = -d - 5*d - 4 - 3 + 2. Suppose 0 = 3*o + 2*o + 25. Calculate o*h(j) - 6*l(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415634185?\nAnswer: 5, 193, 430709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(78) - sqrt(78))*5)\/((sqrt(96) - sqrt(6))*1) - (sqrt(78) + 2*sqrt(78)*-1 - sqrt(78))\/((2*sqrt(48))\/sqrt(8)))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 5:26 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/5 - 18084*l\/5 - 105560.\nAnswer: 4*(l - 4550)*(l + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 10*w**2 - 13*w + 14. Give y(4).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 563514 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 7:24 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 6*h = 3*h - 19, -5*h = -b - 8. Is b equal to 31\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**4\/12 - 5*i**3\/2 - 12*i**2 - 4642*i. What is z(-11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2 + (-1 + sqrt(7) - sqrt(7)) + sqrt(7) - sqrt(7) - (sqrt(126)\/sqrt(6))\/sqrt(3))**2 + (sqrt(14)\/sqrt(2) + -2)**2 + sqrt(42)\/sqrt(216) + -1)*-5.\nAnswer: -350*sqrt(7)\/3 + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 532\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*i - 4 = 0. Let k(g) = -4*g - 6. What is the tens digit of k(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1195281 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: Let k(i) = 38*i**2 + 10*i + 541. What are the prime factors of k(23)?\nAnswer: 20873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**8\/6720 - w**7\/1260 - w**4\/8 + 3*w**2. Let f(m) be the second derivative of h(m). Find the third derivative of f(a) wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from {u: 1, g: 1, k: 1, n: 1, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 1971 and 12.989.\nAnswer: 1983.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 + -520779.0213167\nAnswer: -520778.8813167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 315. Let y(m) = 5*m**2 + 4*m + 19. Determine y(q(w)).\nAnswer: 5*w**4 + 3146*w**2 + 494884","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1312, 1319, 1338, 1375, 1436, 1527, 1654, 1823?\n\"Answer: x**3 + 1311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 0 (b) -0.2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -3*j**3\/4 - 3*j**2\/2 - j + 5. Factor y(x).\nAnswer: -(3*x + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 479 divide 1701887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 81339003 to the power of 1\/3, to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ml when two letters picked without replacement from {m: 1, o: 12, l: 2, g: 1, k: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 118572 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -303 and -320 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.3 + -3.293. Let u = 10.393 + n. Round u to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.8 + -8.5. Sort k, -3, 0, 1.\nAnswer: -3, 0, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 568650 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5928\/205 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 187025084 to the power of 1\/2, to the nearest integer?\nAnswer: 13676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -5, 5, 566?\nAnswer: 566","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 3. Suppose v*o + 0 - 5 = 0. Let r be o*6\/3 - -23. What is r rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5*z - 1)*(-5191*z**3 + 3*z - 4295*z**3 - 2099*z**3 - 3*z) to i*z**2 + k*z**3 + r*z**4 + g + n*z and give r.\nAnswer: 57925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117, -2, -1.\nAnswer: -2, -1, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3890 divided by -2422?\nAnswer: 1945\/1211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54281 by -1751.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 3*c**2 + 4*c + 1. Let w be h(-4). Let m be 4 + 4 + -3 + -3. Suppose 4*v + 0*v = -12. Sort m, w, v in ascending order.\nAnswer: v, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1863767149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -726 = -65*y + 6814. What is the smallest common multiple of y and 812?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -408540, -408538, -408536, -408534, -408532?\nAnswer: -408530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(240)\/sqrt(3) - sqrt(20)\/sqrt(16).\nAnswer: 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1458 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3759 - -1) + (-36)\/18. Let h be 658\/z - (8\/(-10) + 1). Which is the smallest value? (a) -2\/7 (b) 0 (c) h (d) -1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1606?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 2 (b) -7.7 (c) -0.5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v**0\/v))**4*(v\/v**(2\/3))\/(v\/(v*v**(-5))))\/(v**(-5\/4)\/(v*v*v\/v**6))**(8\/13) assuming v is positive.\nAnswer: v**(244\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 39 + 1 = 0. Let k be g\/20 + (-51)\/(-15). Suppose 3*w = 18 - 9. Solve r = 5*p - 8, -w*r - p + 14 = k*p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153530 divided by -10.\nAnswer: 15353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 228967.3 millilitres?\nAnswer: 228.9673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9638113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2) + sqrt(2) + -5*sqrt(10)\/sqrt(5) + sqrt(2)) - (sqrt(6)\/sqrt(3) + -5) - ((1*sqrt(14))\/sqrt(7) - sqrt(2))*2) + 3.\nAnswer: 2*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 2)\/(12\/(-18) + 3).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 86*u**2 - 254*u + 21701. What is s(86)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 - -3 - (-3 + 12\/(-8)). What is the second biggest value in 0.1, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4404 - 740042422?\nAnswer: -740046826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 814561 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 15*r**2 + 3. Let w be i(15). Suppose -j - t + 446 = 0, -w*j - t + 79 = -1265. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 8*l**2 - 30*l - 7. Does 15 divide z(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*k - 5*k + 2*k)*(k - 4*k + 2*k) + (-2*k + 1 - 1)*(-3*k + 0*k + k))*(-292650 + 292650 - 4239*k).\nAnswer: -21195*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 62 = 7*b - 151, -4*b - 4*b + 246 = -2*a - 0*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 10:49 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyjyyyjy. What is prob of sequence jjy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u**2 - 7*u - 9. Let x(i) = 3*i**2 + 4*i + 4. Let n(p) = -5*x(p) - 3*y(p). Is n(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -52, -127, -214, -319, -448?\n\"Answer: -o**3 - 68*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 9. Sort -1, -0.2, n in increasing order.\nAnswer: n, -1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*r - h, -r - 2*h + 36 = r. Is r >= 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(2\/9))\/m**0)\/(m**1)**28*((m**(-1\/4))**(1\/2))**19 assuming m is positive.\nAnswer: m**(-2131\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -5. Let x = -2 + k. Let h = 0.3 - -0.2. Which is the closest to 1\/4? (a) h (b) 1\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 630439*o - 3 - 3.\nAnswer: 630439*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, x: 12}. What is prob of picking 1 x and 1 l?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54 + 30 - 16*f - 11 - 30*f to d + q*f and give d.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ab when two letters picked without replacement from {v: 1, b: 5, x: 3, a: 2, l: 7}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*x - 56*x - 9 = 5*k, 2*x = -k - 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from oyrkkykwrkrrryyrri.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 667*s**2\/4 + 749208*s + 4493\/4 = 0.\nAnswer: -4493, -1\/667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2246, 0, -5, 7, -11 in ascending order.\nAnswer: -2246, -11, -5, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ere when three letters picked without replacement from ltrerkselrkkssr?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k. Let c(t) be the third derivative of -1034*t**5\/15 + 19*t**2 + 91. Calculate i(c(u)).\nAnswer: -8272*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17820, -52720, -104706, -173778, -259936, -363180?\nAnswer: -483510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 12 = -i, -2*i + 2*p = -7*i - 6. Solve i*u - 5*u = 2*r - 9, u = r + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*q + 5*q**2 + 1392*q**5 + 4*q**2 - 2 + q**3 - 290*q**5 + 1406*q**5 + 591*q**5 wrt q?\nAnswer: 185940*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.329 + -0.3289837. What is w rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (417799\/307437)\/(2\/(-78))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by -37.\nAnswer: -19\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (5 + sqrt(11) + 1)) + -5 + sqrt(275))**2.\nAnswer: -110*sqrt(11) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**5\/12 - 13*k**2. Let q(b) = -2*b. Calculate q(f(w)).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyppbybapbyycyyc. What is prob of picking 1 b and 2 p?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.13 and 7528.\nAnswer: -978.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -52\/3*l**2 + 32\/3*l + 10\/3*l**4 + 3*l**3 + 0 + 1\/3*l**5 = 0.\nAnswer: -8, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422297 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474 = y + 458 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24243755*x**2 - 12029480*x wrt x?\nAnswer: 48487510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d - 2. Suppose 4*m = j + 15 - 33, 4*m + 6 = -5*j. Let i(y) be the second derivative of y**3\/6 + y**2\/2 - y. Calculate j*a(w) + 6*i(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 227*n**2 - 6*n - 70. Is g(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f. Let u(m) = 106749*m - 205. Calculate l(u(p)).\nAnswer: 106749*p - 205","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 326 - 288. Let n = k + -37. Solve -n + 7 = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 4:28 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 43*l + 2. Let f(n) = -5*n. What is f(k(v))?\nAnswer: -215*v - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56927634?\nAnswer: 2, 3, 9487939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2 + 10708*y + 14332658 = 0. What is y?\nAnswer: -2677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, x: 1}. What is prob of picking 4 r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13088756?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.13, -0.3, -19, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -5. Suppose 4*g = 4*p - 28, p - x = -g + 2. Solve -3*i = -2*s, 0 = -s + 5*s - p*i - 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**4 - 2*t**4 + t**4 + (17*t**2 - 132 + 132)*(-2 + 2 - t**2) in the form l*t**3 + y + q*t**4 + z*t + i*t**2 and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*m - 661*m - 8177 = 136*m for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2198 is divided by 88?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001177032 to 6 decimal places.\nAnswer: -0.001177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 2 - 4)*(p + p - p)*(0 - 1 + 0)*(0*p - 2*p + 4*p).\nAnswer: 26*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 8816?\nAnswer: 8816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 704?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5 = 0, z = 6*o - 2*o - 19. Suppose 0 = -o*i + 61 + 9. What is the greatest common divisor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = l - 0 + 2, -2*g + 5*l = -4. Suppose a - g - 14 = -j, 2*j - 42 = -4*a. Suppose -31 = -p - j. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1, -215, 4, 5, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (135\/(-100))\/((-2)\/(-1656)). Let t = 11297\/10 + h. What is the common denominator of -127\/12 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 8:17 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/22 - (-2)\/(-2). Suppose -d - 2 = k + 3*d, 4*d + 6 = k. What is the second smallest value in -2\/7, g, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/1129 and 59\/62.\nAnswer: 69998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 5*q**4\/12 - 25*q**3\/18 - 5*q**2\/3 - 17*q. Factor m(a).\nAnswer: 5*(a - 2)*(3*a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quqo when four letters picked without replacement from {o: 1, q: 6, u: 7}.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 1. Suppose 3*t = w - 1, 4*w = w + 12. Let s(q) = 2*q + 3. Let c(b) = 1. Let z(j) = t*s(j) - 6*c(j). Let a = 4 + -1. Give a*f(l) + z(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*s = -2. Let a(k) = 30*k - 4. What is the tens digit of a(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 3078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3017*c**2 + 14569*c + 1. What is d(5)?\nAnswer: -2579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -7*o**4\/3 + o**3\/3 - 81*o**2\/2 + 82*o. Differentiate n(y) wrt y.\nAnswer: -56*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.88 times 0.3?\nAnswer: -12.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5253\/561 - (18\/4)\/((-10)\/(-20)). Factor -z - 2\/11*p + 2\/11*p**2.\nAnswer: 2*(p - 2)*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -207 + 207 + 20*u**2 + (-1 + 3 - 5)*(-2*u**2 + 19*u**2 - u**2) + 3*u**2 + 0*u**2 - 4*u**2.\nAnswer: -29*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 228\/48 - 6\/8 - 0. Suppose -c*h - 2*z = -6*z + 48, 4*h + 63 = -z. Let k be (410\/h)\/((-2)\/(-3)). Is -40 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*a**4 + 4690*a**3 - 12262*a**2 - 157498*a + 109060 = 0. What is a?\nAnswer: -5, 2\/3, 7, 779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7*b**3 - b + 1. Suppose 5*t + 15 = 4*a, 0*a - 12 = -2*t - 2*a. Determine l(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.073 - -51.927. Let i = g - 54. What is the fourth biggest value in 4\/11, -3, i, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 44\/5 of a century?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 2\/29 (c) -2\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 172 = -b. Let f = 47 + b. Solve 2*w - f = 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/3)\/((-1)\/1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2. Let f(l) = o*l - l - 5 + 0*l. Suppose 4 = -2*h + 4*h + 5*v, 0 = 5*h + 5*v + 5. Determine f(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4430 (base 7) to base 10\nAnswer: 1589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -253\/8 + 1115\/24. Let t = -36482 + 1824167\/50. Calculate the common denominator of t and v.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-8)\/60 - 174\/45) + 9739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*x + 55*x + 107*x.\nAnswer: 139*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**2 - 54*m + 90. Let b(k) = k**2 - 11*k + 18. Let l(g) = -11*b(g) + 2*r(g). What is the remainder when 19 is divided by l(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 11:05 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 3*sqrt(242) + sqrt(242) - (sqrt(242) + ((5 + sqrt(242) + sqrt(242))*-6 - sqrt(242) - sqrt(242) - sqrt(242)))) + 3)**2.\nAnswer: 14652*sqrt(2) + 79777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*y - 15 + 40, 4*u + 5*y = 31. Factor 2\/5*i**u + 4\/5*i**3 - 4\/5*i - 2\/5 + 0*i**2.\nAnswer: 2*(i - 1)*(i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37090 and 31196399?\nAnswer: 311963990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 339100 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 times -459?\nAnswer: -20196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*f + 1. Let w be (-22)\/4 - 5\/f. Let y(d) = -639*d + 631*d + 30 - d**2 - 27. Calculate y(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 2027 - 2025 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.04 and 36369.27927717?\nAnswer: 36369.31927717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3205765201230.4 - 3?\nAnswer: -3205765201233.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {u: 2, g: 7, b: 9}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/84 and -179\/5124.\nAnswer: 5124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(1 + 2) - 2. Let m be (-6)\/(-2) + f + 13. Let b be (m\/3)\/(10\/(-15)). Is b at most -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (60\/8*(-10)\/30)\/((-4)\/8). Let p = -71.5 - -72. Sort 0, 2, p, k.\nAnswer: 0, p, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-40))\/(27\/(-24)). Let s = h + 28\/45. Which is smaller: s or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 486\/7 + 1244\/21*o**2 - 104\/21*o**3 + 936\/7*o + 2\/21*o**4.\nAnswer: 2*(o - 27)**2*(o + 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 + 39*d - 2 - 41*d + (-d + 5 - 5)*(-3 + 7 - 1).\nAnswer: -5*d - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/5 + 435300*o**2 + 394771393356*o\/5 + 3158031852384\/5.\nAnswer: 3*(o + 8)*(o + 362746)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -100*(66164\/595 + -112)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 101100011111001001000010 (base 2) to base 16\nAnswer: b1f242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**8\/168 - 2*p**7\/105 + 2*p**6\/15 - p**5\/15 - 7*p**4\/12 + 4*p**3\/3 + 1805*p**2 + 1. What is w in t(w) = 0?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 2\/(320\/(-7032)). Let h = -221\/5 - u. Let c be (5 + 0)*(-4)\/(-30). What is the fourth biggest value in 5, 2\/5, c, h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 162 - 165. Let m be (d\/(-20))\/((-30)\/(-150)). Let o = 2 - 6. Sort m, 2, o, 4.\nAnswer: o, m, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {x: 4, s: 2, d: 1, n: 1, z: 4, p: 6}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 a, and 1 e when four letters picked without replacement from ejaeeeeeje?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 3*h + 2109 - 444, -4*g + 3*h - 1332 = 0. Let x be 6\/10 - g\/45. Let q = x + -4. Solve 0 = -s + q - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 2:16 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -0.13 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 0\/(-1) - 0. Calculate the common denominator of s\/9*(-1017)\/60 and -73\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17608?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**4 + 5*u**4 - 3*u**4 + (54*u**2 + 41*u**2 - 4*u**2)*(-4*u**2 - 18 + 18).\nAnswer: -366*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**3 + 34*n**2 + 112*n + 104 = 0.\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 2\/304773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/((-20)\/(-15)) - -955. Let t = -605 + a. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*-5)\/(((-8)\/(-14))\/((-1047)\/(-2443))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30 - (-14 - -1) - 30\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -365843.5 to the nearest 10000.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2\/4 - 13*v\/4 - 3\/2.\nAnswer: (v - 3)*(5*v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*n - 16 + 148 = 0. Suppose 2*g - m = 18, 2*g = g + 4*m + 16. Let h be -1 - n*12\/g. Solve 0 = 4*l - h*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10331 + 43861. List the prime factors of x.\nAnswer: 2, 5, 7, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 738383?\nAnswer: -5\/738383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 + -44716b?\nAnswer: -447188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 6:29 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2249?\nAnswer: 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3\/9 + 170*r**2\/9 + 332*r\/9 = 0. What is r?\nAnswer: -83, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/27, 3, 13 in descending order.\nAnswer: 13, 3, -2\/27, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 28*w**2 + 31*w - 56. Let p be l(29). What is the third derivative of 49 - 49 + 53*j**3 - 3*j**3 + 37*j**p wrt j?\nAnswer: 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*d*k**2*u**2 - 188*d*k**2*u - 127*k**2*u**2 + 3*k**2 + k*u wrt u?\nAnswer: 16*d*k**2 - 254*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -133240 - -3991.\nAnswer: -129249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5143 + -5149. Let p(d) = d + 2. Let u(h) = 2*h + 4. Let r(n) = n + 2. Let b(k) = -9*r(k) + 4*u(k). Give c*b(l) - 5*p(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 84 = -h, h - 4*g + 157 = 4*h. Suppose 48*r = h*r - 199980000. Round r to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 14*s**2 - 24*s - 21. Determine b(-15).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80 + 76 - (1 - (1 + -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + g**2 + g + 166. Let m be a(0). Suppose 0 = -t + m + 182. Let y(q) = t - 14*q - 348. Let b(v) = v. Calculate y(b(u)).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-1))\/(2\/4). Let y be 6\/12 - l\/(-4). Let x(o) = 9*o**3 + o**2 - 2*o + 1. Let a be x(y). Is a greater than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.4 + 1.4. Let q = 13.00026 + n. What is q rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -4 - (-327)\/1. Suppose -4*u + c = -t, -2*u - 7*c + 5*c + 152 = 0. Suppose -u*o + 940 = -76*o. What are the prime factors of o?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3 = -3*g, -3*s + 6*s = 4*g + 21. Let w be s\/6 - 2\/(8\/(-26)). Solve 2*m = w*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -62, -73?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/176170 and 13\/630.\nAnswer: 11098710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 - 10*o**2 - 2*o**2 + (-6*o + 3*o + o)*(-o + o + o) + (11*o + 127 - 127)*(-2*o + 2 - 2).\nAnswer: -38*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -69. Let o = p + 48.9999815. What is o rounded to six decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 801?\nAnswer: 6408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37462 is divided by 9297?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + i - 4 = 0, -t + 25*i + 7 = 15*i + 14*i for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -106.732316 to zero decimal places.\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 440*a + 15048 - 46183 - 18803 = 1301*a for a.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by 2942.\nAnswer: -27\/2942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4073 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -10, 4, 0.24, 399.3, 3, -0.3?\nAnswer: 399.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 206.272 + -203. Let d = -3.4 + j. Let f = d + 9.228. What is f rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -10*p + 45. Solve -a + 4*g + 29 = 4*a, -5*g - p = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 >= 0.00175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3646 - 69590 = -4*z + 4884. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 8745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -137 + 144. Let z be d\/9 + 4\/18. Solve 3*x + z = -w - w, -3*x = -5*w + 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 48*w**2 - 44*w - 182. Let h be m(49). Let s(i) = 2*i - 6. Let q be s(12). Calculate the greatest common divisor of q and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/1468 and 73\/52?\nAnswer: 19084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75641, -299914, -673693, -1196972, -1869745, -2692006?\nAnswer: -3663749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-1)*d))**(3\/16)\/(d**6\/(d\/((d*d**(7\/2)\/d)\/d))) assuming d is positive.\nAnswer: d**(-117\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1634563.\nAnswer: 7, 233509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 6) in base 13?\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74\/11 - 200\/33. Let p = 13 + -8. Let v be (-34)\/30 + (-4)\/(-12). What is the second smallest value in d, v, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(2\/4) - 25. Let k = z + -68. Suppose t + 65 + 26 = 0. Is k at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 345032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 3*c + 23, 3*c - 487 + 500 = t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -10*j + 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*f + 5 = 0, 3*r = 2*r + 3*f - 13. Let v(t) = 215*t + t**r - 104*t - 107*t. What is v(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 3*r - 2*r + (4 + 2 - 2)*(-3*r - 2*r + 7*r) + 0 + 0 - 5 + 698*r + 5.\nAnswer: 705*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 + (5 - (-189)\/91). Let c(z) be the second derivative of 6*z + 0*z**3 + 0 - y*z**2 + 1\/78*z**4. Factor c(d).\nAnswer: 2*(d - 1)*(d + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 12, 191, 2, 3, -1, 14 in descending order.\nAnswer: 191, 14, 12, 4, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49? (a) -1 (b) 4 (c) -4 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/13? (a) 0.1 (b) -0.82 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is ab65 - 1414?\nAnswer: 9751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.107564 * -527.\nAnswer: 56.686228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 2*d - 43, -3*t + 7*d = 11*d - 31. Solve 3*z + 3 = 3*a + t, -a + 10 = 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -0.3 (c) -403\/7 (d) -2\/3 (e) -3277 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1322 + -440. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23456, 93742, 210872, 374840, 585640, 843266?\nAnswer: 1147712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 11*c**3 + 18*c**2 + 293*c. Let p(s) = 3*s**3 + 5*s**2 + 73*s. Let n(m) = 9*p(m) - 2*w(m). What is the second derivative of n(g) wrt g?\nAnswer: 30*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16583614 is divided by 2369083.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 7:32 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 8*h + 1. Determine y(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 a when two letters picked without replacement from {a: 1, k: 2, n: 3, g: 3, w: 1, i: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 144*o - 282. Let f be c(2). Solve 3*u = 6*u - 4*t + 23, -t + 3 = f*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 times -127533?\nAnswer: -24486336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -53870 divided by -4\nAnswer: 26935\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-5)*t*t*t**3)\/(t**(-2\/15)\/((t*(t*t**(-4)\/t)\/t)\/t)))\/((((t*t**(-5)*t*t)\/t)\/t*t)\/(t\/(t*t**(2\/13))))**(-24\/5) assuming t is positive.\nAnswer: t**(-3613\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - (3 - 7)) + 3. Let v = 66 + l. Let t = v - 33. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3*t**3 - 43*h**3*t - h*t**3 + t**3 - 237*t**2 - 29*t wrt t.\nAnswer: 6*h**3*t - 6*h*t + 6*t - 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-9)*(1302\/315)\/62?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8\/631 + 32245\/5048. Calculate the common denominator of n and 34\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3648469 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u + 22. Let k be q(-4). Let i(x) be the first derivative of -2\/3*x**3 - k*x + 0*x**2 - 4. What is the derivative of i(p) wrt p?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8*d**2 - 33*d - 36. Let y(s) = 39*s**2 - 165*s - 177. Calculate 24*g(n) - 5*y(n).\nAnswer: -3*n**2 + 33*n + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8*u + 16. Let k be p(-3). Let l(i) = i**2 + 9*i + 16. Let a be l(k). Suppose -4*x + 79 = 15. Solve -5*w - x = -4*m, 0 = 2*w - 7*m + 5*m + a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of ((-296)\/444)\/(2\/(-1809))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46\/205 + -1\/41. Put 2\/21, 2\/5, -1\/2, r in decreasing order.\nAnswer: 2\/5, r, 2\/21, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*(-1 + sqrt(1100)) + ((4*(sqrt(1100) - (sqrt(1100)*-1 - sqrt(1100))) + sqrt(1100) + sqrt(1100))*3)**2.\nAnswer: 50*sqrt(11) + 1940398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*i = -47*i - f - 3754, 756 = i + 5*f. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -226*a**4 + a**3 - 492*a**4 - 48*a**4 + a**3 - a**2 - 564*a - 170*a**4 wrt a?\nAnswer: -11232*a**2 + 12*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 209030, 209028, 209026, 209024, 209022, 209020?\nAnswer: 209018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 6:23 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, i: 1, f: 7}. Give prob of sequence tt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-81)\/162)\/((-2)\/(-126044)*-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 23. What is m(-8)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 816\/(15\/(-910)*-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 62. Calculate the remainder when 105 is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98627743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (1 - 5\/3). Let s(d) = d**3 + 5*d**2 + d + 25. Let o be s(-8). Let r = o - -176. Which is the third biggest value? (a) 1\/6 (b) i (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 953?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 4:46 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/65? (a) 4 (b) 3\/2 (c) -4\/9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(2436\/285) + (-6)\/8. Which is bigger: d or -11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j**3 + 3*j**2 - 3*j + 5. Let i(z) = 11*z**3 - 8*z**2 + 8*z - 14. Give -3*i(m) - 8*q(m).\nAnswer: -m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 3, j: 10, e: 5, r: 1}. Give prob of sequence sr.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 402802092?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**2 - 2. Let v(r) = -r**3 + 9*r**2 + 10*r. Let n be v(10). Let z(h) = 2*h + n*h + 8*h - 4*h. Give u(z(p)).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 1 (b) -0.5 (c) 0.05 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1222\/13*(-1 - -11). Suppose 5*p - k = 3*r, 4*p + 5*r + 166 = 5*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1045814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.255 - -12649.8.\nAnswer: 12650.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -2 + -1 + sqrt(11) - sqrt(44)*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3339 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*c + 29 + 96*c - c**3.\nAnswer: -c**3 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 9 - 9 + 7*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + -0.8. What is the nearest to -3\/4 in 2, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2. Let p(r) = -77*r - 4. What is z(p(o))?\nAnswer: -17787*o**2 - 1848*o - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) -1\/6 (c) 0.04 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1805726?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 841 or 769\/6?\nAnswer: 841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/3825*(-2259804)\/(-1028). Let j = -6\/4369 + t. Let d = 6\/25 - j. Which is the third smallest value? (a) 0.5 (b) -2\/9 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 11*s - 3.\nAnswer: 11*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 30. Let k(o) be the first derivative of o**5\/120 + 22*o**3\/3 + o**2\/2 + 24. Let l(j) be the third derivative of k(j). Give l(m(t)).\nAnswer: t + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2864 and 2148?\nAnswer: 8592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2448 (base 11) to base 8.\nAnswer: -6176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*x + 9, 2*j - 13*x + 17*x - 18 = 0. Let k be (-8)\/6 + 155\/15. Solve j*w = 5*o + 34, 2*o + k = 2*w - 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*h + 15*h - 17*h + 5*h - 5*h + 3*h + (5*h - h - 3*h)*(-3 + 4 + 4).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1548*t**2 - 703*t**2 + 667*t**2.\nAnswer: -1584*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 117912497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 51\/45 + (-218)\/1635. Sort s, -1, 4, 7, 37.\nAnswer: -1, s, 4, 7, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from {u: 1, e: 7, i: 9, y: 2}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 0*m**4 - 58 - 1\/5*m**5 + 0*m**6 + 0*m + 14\/3*m**3 - 4*m**7 + 0*m**2. What is the third derivative of b(y) wrt y?\nAnswer: -3360*y**3 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 7 - 6 + 1031*n.\nAnswer: 1031*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-4 - (2 + -17 + 5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 3\/3 - (-4 - -10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, h: 2, f: 1, v: 1, p: 2}. Give prob of sequence vfpp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 108 + -53 - ((5 - -1) + 7)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2013 - -2013.2. Let q = -1\/24 - -1\/6. What is the nearest to b in -0.5, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6568 - 0.75?\nAnswer: -0.0932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 95, 75, 41, -7, -69, -145, -235?\n\"Answer: -7*x**2 + x + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 6. Let p = 0.498 + 0.502. What is the closest to p in -4\/5, c, 4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (6 + -8 + -13 - -18).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 684410 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: Is 1 at least as big as -6\/755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*w = -h + 63*w + 73, 0 = 5*h + 4*w - 379. What is the greatest common factor of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)\/o)**(1\/52))**(18\/7) assuming o is positive.\nAnswer: o**(-9\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 + -15 + 36 + -13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 53 = 29 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/4 of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*a + u - 42, 13 = 2*a + 5*u. Let g be (37 + a)*(0 - -1). Suppose 49*n - g*n = 0. Solve q + 0*q - 3 = n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 869762 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -892, -0.1, 0.2, 9\/10.\nAnswer: -892, -0.1, 0.2, 9\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i - 10*i - 7*i - 6*i - 5*i. Let s(g) = 6*g. What is w(s(j))?\nAnswer: -198*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -3, 0.07, 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3 + 2\/3*d**2 - 2\/3*d.\nAnswer: 2*(d - 2)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 0*u**4 + 7\/6*u**6 - 2 + 0*u + 0*u**3 + 0*u**5 + 6*u**2. What is the second derivative of r(k) wrt k?\nAnswer: 140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 14*l**3\/3 + 10*l**2 + 20*l - 2. Let f(c) = -5*c**2 - 7*c - 7. What is 17*f(a) + 6*y(a)?\nAnswer: -a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvwvwwhwvhuwqu.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -5, -4, -2 in ascending order.\nAnswer: -5, -4, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 1:59 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 41*d - 78. Let t = -153 - -192. Let o be g(t). Solve -5*r + 3 - 8 = o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/((-2)\/25))\/(2*(-170)\/204)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1401*q - 319*q - 25968 = 0 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - v + 1. Suppose 19 - 26 = 7*t. Let z(l) = 2. Determine t*n(y) + z(y).\nAnswer: -y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 445043 and 119.\nAnswer: 3115301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -39.3. Let w = -3.46 + v. Let m = w + 0.160076. Round m to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*(x**(-8\/5)*x)\/x*x*x)\/x))**(-1\/8)\/(x**(-2\/29)\/((x\/(x\/(x**12\/x)))\/x)) assuming x is positive.\nAnswer: x**(11593\/1160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -574907?\nAnswer: 574906.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-76)\/399)\/((45\/9)\/15))\/34.\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 21526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 779671 and 7820.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.184 - 3.214. Let o = b - -0.03. Let x = -1.5 - -1.3. What is the biggest value in o, -1\/4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -11, -6, 1, 10, 21, 34?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 2:48 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9916 - -302. Suppose -n = 165*m - 178*m. 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 the cube root of 53 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k - 6*k - 3*k + (3 - 4 + 2)*(-4 + 4 - k) + k - k - 2*k to the form v + g*k and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 314 - 301 - (25 + -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -858 and -59\/26 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 3*y**5\/5 - 4*y**3\/3 + 1. Find the third derivative of p(t) wrt t.\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-15))\/(4\/(-80)). Let t be 1\/(-8) + 913\/p. Suppose 2*b - 124 = t. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**2 - 3*y + 3. Let c be (2 - 3)\/(1\/(-2)). List the prime factors of a(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x - 31. Let c(p) = -p**3 - 10*p**2 - 12*p - 11. Calculate the least common multiple of j(9) and c(-9).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1110, 4\/7, -312, 0.1?\nAnswer: -312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0, 5, -4, 1, -0.1145?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*b - 1051 + 80 - 149 = 0. Suppose 0 = x - 0*x - 9. Let g be (6\/(-4))\/(x\/(-24)). Solve 3 = g*h + b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 - 2*y + 0*y + 4*y + 2*y**4 + y + 2*y**3 to i*y + b*y**4 + p*y**3 + f + n*y**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.542213g to milligrams.\nAnswer: 9542.213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12950534381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2035 is divided by 136?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30 + 464213?\nAnswer: 464243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/55 + -12\/55. Let i = 0.04 - -1.16. Let d = i - 1.1. What is the closest to -2\/7 in n, 0.4, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**(-1\/15)\/(n*(n*n**(2\/3)*n*n)\/n*n*(n*n**5*n*n)\/n) assuming n is positive.\nAnswer: n**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 - 527\/8. What is the third biggest value in -4\/13, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*(-19)\/(-931) + 94\/35?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.84655 millennia in centuries?\nAnswer: 358.4655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8*-2)\/((-48)\/9 + 3).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - a**2 - 2*a - 1. Let g be v(-1). Let s(j) = j + 11. Let p(h) = -h - 12. Let t(z) = -4*p(z) - 5*s(z). Let q be t(-3). Which is greater: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100301 + 11?\nAnswer: 100312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 7*b + 1\/3*b**2 = 0 for b.\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 800073 is divided by 7920.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 7 + 3 = 0. Let c be (11\/(-2))\/(r\/60). Round c to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1154 - 1154 - 248*y)*(2 - 6 + 2)*(-8*y - 9 - 3 + 2).\nAnswer: -3968*y**2 - 4960*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0*102472.66\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014207933 rounded to five dps?\nAnswer: -0.00142","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -16 - 44. Let z(k) = -n*k - k**3 + k**2 + 4*k + 7*k. Let x be z(0). Let l(o) = -o**2 + o + 1. Calculate l(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*b + 5. Let w(i) = i**2 - i - 1. Let r(g) = 3*g**2 - 2*g - 7. Let z(m) = b*w(m) - r(m). Differentiate z(u) wrt u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 61320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen quarters of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129438*w**2 - 1005*w + 502*w + 91131*w**2 + 503*w.\nAnswer: 220569*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (k + k - k)*(-18 - 7*k + 21 + 2*k) + (-4 + 4 + 3*k**2)*(1 + 0 + 0) as w*k**2 + s + f*k and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 1444 + 1460 - 2904 - 24*c. Let h(g) = 7*g**2. Give t(h(k)).\nAnswer: -168*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99 - 98. Which is the closest to -2? (a) -4 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3601, -8700, -21001?\n\"Answer: -12301*t + 15902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/6 - 7\/21. Suppose 148 = p*u - 0*u. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 - 22*w + 27. Let j be d(-12). Suppose n = -0 + 3, -j*n = 5*t - 99. Calculate the highest common factor of 288 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -234*o + 61. Let h(i) = -117*i + 30. Let g(j) = -5*h(j) + 3*u(j). Let p(c) = -56*c - 2916. Let n be p(-52). Is g(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370 less than 297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.125853 millennia to decades.\nAnswer: 12.5853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -5, -20, -43, -74, -113?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**2 - 43954258*c + 6*c**2 - 3 + c**2 + 43954258*c - 4*c**2.\nAnswer: 9*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3071c - 13?\nAnswer: 30709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4516834?\nAnswer: 2, 7, 322631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -211870 less than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 4*v - 24 = 0, -2*t - 38*v + 42*v + 28 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 10*i**3 - i. Let h be y(1). Let a = 8 - h. Let b be 1 - (-1 + 0 - -1). Is b at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/18)\/((-4)\/216*-6).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-4)\/3*9\/80\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d = -68359 - 29183. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + s - 2. Let f(b) = b + 1. Let v(o) = -5*f(o) - i(o). Let g be v(-7). Let h be (16\/(-10))\/(4\/g). Solve 3*j + 4 = h*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 4*g**3\/3 - 68*g**2 - 288*g - 590. Solve v(n) = 0 for n.\nAnswer: -2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1051732, 1051700, 1051666, 1051630, 1051592, 1051552, 1051510?\nAnswer: 1051466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*a + 28 = 58*a. Let z(r) = -r**3 - r**2 + 1. Let h(q) = 4*q**3 - 3*q**2 - 10*q + 6. Let p(u) = -h(u) - 3*z(u). What is p(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.692621 + 116.7984086. Let z = w + -118.579. Let m = z - -0.088. What is m rounded to six dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-8 - -6 - 2) + 8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 19 - 20 - (-6 - (0 - 0\/(-2))). Solve 2*d + 2*x = 3*d + 14, -c*x = -3*d - 37 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j + 73. Let l be w(-10). Sort l, -17, 5 in increasing order.\nAnswer: -17, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 15 = -25. What are the prime factors of 37\/(-185) + (-2956)\/c?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + sqrt(117) + 4 + 0 + sqrt(117) + -5*sqrt(117)*1 + (sqrt(117) - (sqrt(117) + 1)) + -1)*-1.\nAnswer: -12 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21260572.\nAnswer: 2, 5315143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112 + -113124?\nAnswer: -113240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 240\/25 - 99\/165. Solve -3*b = 6 + c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/(-18))\/(-3 + (-292)\/(-96)). What is the closest to 0 in 2\/15, 5, x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 5*i**2 - 6*i - 3. Let w be t(-4). Suppose c = 5*m - 91 - 137, 5*m - w*c = 220. Is m a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 377*x + 770. What is the least common multiple of c(-2) and 56?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*z = 8, 0 = -2*t - 3*z + 8*z + 8. Suppose 5*g - 102 = -t*i + 267, 2*i + 85 = g. List the prime factors of g.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - 18. Let k = 23 + f. Let g = k - -15. Solve i = g*i - 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -487675, -975350, -1463025, -1950700, -2438375?\n\"Answer: -487675*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 36, 77, 120, 159?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 5*x - 20, -5*p - 9*x = 2*x - 8*x - 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3 = 0, 4*l + 4 = -4*m + 20. Solve -r = m*q + 25, -3*r + q - 20 = 5*q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2751 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 53019642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -75, -75, -41, 33, 153, 325, 555, 849?\n\"Answer: y**3 + 11*y**2 - 40*y - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**2 - 624780*g - 3123975 = 0.\nAnswer: -5, 208265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 2, 4\/11, 81?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 46\/63 + 4\/(-14). Let t = -27.9 - -29. Let j = -0.6 + t. Which is the third smallest value? (a) i (b) -0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/14)\/(-2 + 4)*(-60 - 151 - -78)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 324367550 and 650.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -291*m**6 - 203*m**5*s**3 + m**2*s**3 - 3*m**2*s + 2*m*s**3 - 3065*s**3 - 3*s**2 wrt m?\nAnswer: -34920*m**3 - 12180*m**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2746 divide 105768795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -573569 + 1229675. Suppose 2392215 = -2*n - 3*f, 4*n + f + 1671356 = -3113069. Let c = n + y. What is c rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51242 or 666165\/13?\nAnswer: 666165\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10891861303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -103030 (base 4) in base 11?\nAnswer: -a17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -431 + 1be1d?\nAnswer: 1b9ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*c + 168 = 0. Suppose 658 = 10*a + 4*a. Let u = c + a. Which is smaller: u or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 7:13 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.01908 * -3.\nAnswer: 9.05724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2128)\/(-448))\/(-2 - 2082\/(-1040)). Calculate the greatest common factor of j and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2258962 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1894 + 22709\/12. Find the common denominator of (-110)\/(-8) + 2 + (-26)\/(-52) and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**5 - 86*w**4 - 45*w**2 - 16*w - 121 wrt w?\nAnswer: -40*w**3 - 1032*w**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/2396870 and 31\/194?\nAnswer: 2396870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12661345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, e: 5, r: 6, q: 1, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7*t - 2. Let n be p(-2). Let o be ((-9)\/n)\/(1\/(-4)). Suppose 0 = -3*k - o, -q + 2*k + 10 = 3*q. Are q and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 14 + -15 - -7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/7 + 1014*k**2\/7 + 6156*k\/7.\nAnswer: -2*k*(k - 513)*(k + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -273, -2195, -7415, -17583, -34349, -59363?\n\"Answer: -275*b**3 + b**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.27 (b) -0.041 (c) -4 (d) -0.163 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/939680 and -45\/107392?\nAnswer: 3758720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-2 - 4)) + -10 - 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from opwwuuggurow. What is prob of picking 1 p and 3 w?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -48663*v + 145967. Give m(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 2. Let h be b(-3). Suppose -h*a - y + 18 = -0*y, 2*y + 9 = 5*a. Solve 4*p + 2*p**3 - 3*p**3 + p**a - 4*p**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -112 and 4?\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 17 = 1. Let z(x) = -x - 21. Let i be z(y). Let v = 20 + i. Solve v*h - 8 = 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 6*m + 13. Let o be y(-4). Solve -4*x = -o*b - 23, -5*b = -x - 6 + 23 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 6*u**2 + 6*u - 13. Let k(j) = 3*j**3 + 17*j**2 - 17*j + 38. Let g = 575 - 558. What is g*i(f) + 6*k(f)?\nAnswer: f**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**4\/2 - 5*n**3\/3 - 109*n**2. Let z(l) = 5*l - 4. Let x(q) = 2*w(q) - 5*z(q). Let a(b) = -37*b**2. Calculate x(a(j)).\nAnswer: 37*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -11\/6*k**3 - 2*k**2 - 1\/6*k**4 + 8 + 3*k. What is j(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + 5*j + 4. Suppose 34 = -3*s - 5*b + 2, 3*b + 24 = -3*s. Calculate m(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 18*c**2. Let l(h) = h**2 + 2*h - 12. Let m(k) = k**2 - 30 - 2452*k + 2*k**2 + 2457*k. Let q(r) = -5*l(r) + 2*m(r). Determine b(q(v)).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4363272144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1)*t*t\/(t*t*t*(t*t*t**(1\/2))\/t*t*t))\/(t**(-7)*t\/(t**2\/t)))\/((t\/(t**(2\/5)\/t))**(1\/28)\/(t*(t**(-2\/3)\/t)\/t*(t**4\/t)\/t)) assuming t is positive.\nAnswer: t**(373\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2. Let b be ((-23)\/4 + -3 + 7)*-44. Suppose -5*n + s = -b, -n + 16 + 3 = -2*s. Let m(f) = n*f - 32*f - 9*f. Calculate r(m(j)).\nAnswer: -676*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -16) + 13 + 3 + -16\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18670 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**6\/2880 + l**5\/80 + 5*l**4\/48 - l**3\/3 + l**2\/2 + 233*l. Let i(d) be the second derivative of u(d). Factor i(j).\nAnswer: (j + 2)*(j + 10)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2 + 0*a + 5*a + 4*a**2 - a**3 - 2*a. Let v be j(5). Let m = 20 + v. What is the lowest common multiple of m and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**2 + 40*u - 24. Let n(v) = -v**2 - 8*v + 5. Let l = 11 - 0. Let y(b) = l*n(b) + 2*p(b). Is 3 a factor of y(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a meter in millimeters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 3. Let h = g + 0. Let y be (2\/4)\/((-1)\/4). Which is the closest to h? (a) 0.4 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48.27 - -43.27. Sort s, -4, -3, 2\/3, 0.08.\nAnswer: s, -4, -3, 0.08, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i**2 + 557*i + 1323. Determine z(-109).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 1. Let m(d) = 2*d**2 - 270*d - 557. Let p(b) = 3*k(b) + m(b). Suppose p(f) = 0. What is f?\nAnswer: -2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(22)\/sqrt(2) - 1*(2 + sqrt(11)))**2.\nAnswer: 20*sqrt(11) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 + 34 - 9*m**2 + (2 - 2 + 5*m)*(-4*m + 2*m + 3*m) to the form x*m**2 + u + a*m and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 105\/25)\/2. Is f < 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5104872 - 2*s - 2*s + 5104862.\nAnswer: -4*s - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*t + 2*d, -7*d = -11*d - 4. What is the third biggest value in 0.4, -2\/11, t, -0.01?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(102) - ((sqrt(102) + sqrt(102) + (sqrt(102) - sqrt(102)*1*5) + sqrt(102) + sqrt(102) - sqrt(102)) + sqrt(102)))\/(5*4*sqrt(294)).\nAnswer: 3*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = o - 28. What are the prime factors of (o\/3 + 3)*3\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 10. Let f = -9 + p. Let l be (3\/1)\/((-5)\/5). Sort -1, f, l.\nAnswer: f, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/44686950 and 13\/30.\nAnswer: 44686950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + (-3)\/2)\/3. Let n = -0.2 + 0.3. Let m = 83\/52 - 7\/4. Sort j, m, n in descending order.\nAnswer: n, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.65 + -5.73. Round h to one dp.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7203 and 8379?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*g - z - 197, 2*z = -2*g + 86. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/8? (a) -3 (b) 1\/3 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 12, 4*q - 5 = 2*s + 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, x: 1, y: 1, w: 1, g: 2, c: 1}. What is prob of sequence wgn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.45 + -0.25. Which is the closest to 1? (a) k (b) 0 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/107920 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 15 = 4*j. Let t = -698\/537 + 77249\/135861. Let n = 21\/23 + t. Sort n, j, 0.1 in ascending order.\nAnswer: j, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(4131) + sqrt(4131) + (sqrt(4131) - (sqrt(4131) + 4*sqrt(4131))))\/(sqrt(24)\/(-4*sqrt(8))) + 4).\nAnswer: -144*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 1759761.8866849.\nAnswer: 1759761.7866849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12179?\nAnswer: 19, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 12*r**3 + 5*r**2 - 2*r. Let y be g(2). Suppose 0 = 4*q - w - y, -4*w - 21 = -q + 7. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/(-4))\/(1\/(-2)). Suppose -1585 = -7*i + 2*i - v, -3*i - c*v = -951. Is i 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 {p: 2, u: 2, x: 4, q: 3}. Give prob of picking 1 p and 2 u.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or 209?\nAnswer: 209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 4:59 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-2940)\/(-175))\/(6\/(-15))*18\/(-21)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 e when four letters picked without replacement from {e: 1, b: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 19*i**2 - 318*i - 39. What is the remainder when 3401 is divided by n(17)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.42 + 67.58. Let m = -6964 - -7031.73. Let p = b - m. Round p to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26130979\/10 at least as big as -2613098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*x + 325 - 1084. Does 23 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -h - 1, -77 = 5*h - j - 72 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3771*z**2. Let r(j) = 8650*j. Determine r(o(l)).\nAnswer: 32619150*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.114 and -0.88.\nAnswer: 0.10032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - s = 14 - 4, 2*s = 4*r - 8. Suppose -r*f = -5*y - 64, -4*y - 92 = -4*f + y. What is the highest common factor of 140 and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00081727938 to six decimal places.\nAnswer: 0.000817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 19*c**3 - 20*c**3 + 4*c - 1 + 2*c**2 - 3 + 2*c**2. Let z(q) = q**3 - 3*q**2 - 3*q + 3. Calculate -3*r(l) - 4*z(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10739, -15174, -22489, -32678, -45735?\nAnswer: -61654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 111 times -0.3\nAnswer: -33.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q**4 + 5*q**4 + 8*q**3 - 95 - 44*q + 20 + 14*q**2 + 7 + 20 = 0.\nAnswer: -2, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 + 51. Let j = 0 + -5. Which is bigger: j or d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 2*s + 12, -2*g - 4*s - 4 = 0. Let x = 4 + 5. Suppose -5*o + 1 = -x. What is the least common multiple of g and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, o: 5}. What is prob of picking 2 p?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 - -5. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3 = 4. Suppose 5*i - g = 59. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -444 (base 15) to base 7.\nAnswer: -2545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 4*q + 2*q)*(2 + 0 + 0) - q + q + q + (q - 2 + 2)*(-4 + 0 + 1) + (-8 - 2 - 4)*(-q + q - q) - q + 3*q - q.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1949875, 1949887, 1949901, 1949917, 1949935, 1949955?\nAnswer: 1949977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - 14\/(-8) - 1\/(-4). Suppose -a*v + 1082 = -0*l + l, 5*v = 3*l + 1074. Suppose 3*b - 2*o - v = -o, b + 3*o = 62. What are the prime factors of b?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, c: 2, j: 6, m: 1, w: 4}. Give prob of picking 2 j, 1 f, and 1 c.\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/101 - 196\/303. Let m = -83 - -417\/5. Sort -4, o, m in decreasing order.\nAnswer: m, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**3 + 13*p**2 + 37*p + 8. Is 12 a factor of c(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(-1361730 - 34*q + 146*q + 1361723).\nAnswer: -112*q + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 20*u**2 + 3*u + 4. Let h be y(0). Solve 0 - 13\/3*n**3 - 11\/3*n**2 - 2\/3*n - 4\/3*n**h = 0 for n.\nAnswer: -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43774 is divided by 527.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -75*y + 14. Let d(q) = 2*q**2 + 19*q + 15. Let u be d(-8). Is r(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -307432, -307405, -307378, -307351?\nAnswer: -307324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 a when two letters picked without replacement from fmpggkfmagpfpgf?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/4*1*-4. Let o(p) = p**3 - 9*p**2 - 6*p + 3. Calculate the remainder when o(y) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -110550000 to the nearest one million.\nAnswer: -111000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 124*w + 10*w**3 - 46*w**3 + 24*w**3 + 2 + 0 + 10*w**3 - 4*w**2 as q + d*w**2 + u*w + n*w**3 and give u.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 less than -827.9423?\nAnswer: -827.8923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 c when three letters picked without replacement from zczzzzzzczpzzpz.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -206*k + 2 - 5*k**3 - 5 + 207*k - k**2 to the form h + p*k**3 + j*k**2 + r*k and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2389\/6 + -399. Let s = -1\/6 - x. Find the common denominator of -73\/6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (2 - 3 - -3) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25156 - -25154.19. What is the nearest to 2 in -2, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/5 - 22308*r\/5 + 66897\/5.\nAnswer: 3*(r - 7433)*(r - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b - 4*a = -13*b - 14, 3*a = 5*b + 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 5*u + 13. Let g be b(6). Solve 3*w + 8 = 4*v, -5*w = -5*v + g - 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14bc - -11?\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 47 - 20 - 27 - 23*i. Let w(x) = 2*x**2. What is s(w(f))?\nAnswer: -46*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*a + g + 4, 8 = 4*a - 2*g. Suppose -3*k = -18 - a. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/(-208)*(-273)\/196?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -129*u**2*v*y**3 - 5*u**2*v*y**2 + 29*u**2*v*y + 2*u**2*y**2 + 3*u**2 - 14*u*v*y**4 - y**2 wrt y?\nAnswer: -774*u**2*v - 336*u*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/25))\/r)**(-5\/3) assuming r is positive.\nAnswer: r**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35? (a) -9\/8 (b) 0 (c) 0.02 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*j - 100 = -28*j - 3*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4857 divided by 1539?\nAnswer: -1619\/513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*m + 2*m. Let z be m\/14 + 54\/7. Let d = 30618 - 30614. Solve -z*f + d*f + 8 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, 8, -1\/5, -0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-1\/4)))**33 assuming x is positive.\nAnswer: x**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.3 and -124063.\nAnswer: -533470.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 39*b**2 + 374*b - 55. Let y be z(-20). Solve -34*j + y*j + 155 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1117 + 1117.007854. What is j rounded to four dps?\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000703983 to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -1644*p**3 + 5*p**2 - 10*p - 1. Let h be t(2). Let g = -5550 - h. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**4 + s**3 + 2*s - 18 + 0*s + 6*s**4 - 6*s**4 as b*s**3 + h*s**4 + v*s + m*s**2 + z and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 12*a**2 - 18*a - 3. Let u be j(8). Is 114 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhpc when four letters picked without replacement from {i: 2, h: 3, p: 2, c: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (1 - 1 - -9). Let d be 12\/k*5\/2. Let q(t) = 3*t**2 + t - 7*t**2 + t**d - 3*t + 0*t**2. What is q(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.03 (b) -3\/4 (c) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 - t + 3. Let a(c) = 6*c**2 - 2*c + 18. Let k(w) = 9*w**2 - 4*w + 34. Let z(b) = -7*a(b) + 4*k(b). What is 10*i(g) - 3*z(g)?\nAnswer: -2*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*h - 12033065 = 122*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 16*v**2 - 10*v - 10. Let h = 13 - 10. Let d = -16 + 26. Let n(r) = -5*r**2 + 3*r + 3. Determine d*n(i) + h*c(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence at when two letters picked without replacement from paattppxppazzp?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.5492 + -0.5472. Let y = v + -9. Let w = -0.0020095 + y. Round w to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -n - 2*k, -n + 3*n = 3*k - 1. Suppose -2*f - 7 = -13. Suppose -f*u + 2 = 5*y + 4, 0 = -3*u - 12. Sort -4, n, y in decreasing order.\nAnswer: y, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 829 is divided by 169.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 0 - 4)*(8*g**2 - 5*g**2 + 3*g**2) to p*g**2 + c*g + f and give p.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18057571 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 + 65 + 4*z - z in the form m + n*z and give m.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - f + 16550 = 0, 8*f = 4*u + 13*f - 13219. List the prime factors of u.\nAnswer: 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -6\/5, -2\/3, 0 in increasing order.\nAnswer: -6\/5, -2\/3, 0, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68.3 + 590.3. Let z = s - 491.9. Round z to the nearest integer.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nttywwwwty. Give prob of picking 1 n and 1 w.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2. Let l(b) = 6024*b**2 + 23092*b. Let y(f) = f**2 + 4*f. Let m(o) = -2*l(o) + 11546*y(o). What is m(h(s))?\nAnswer: -2008*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 592044*l**4 - 64 + l**3 + 65 - 592045*l**4 - 2630*l - l**2 as x*l**4 + v*l**2 + j*l + c + y*l**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6062 = 325*y - 1512 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 656819, 1313638, 1970459, 2627282, 3284107, 3940934, 4597763?\nAnswer: 5254594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1185.683cm?\nAnswer: 11856830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -42.1 and -0.3?\nAnswer: 12.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9600050131\/3554148 - 17\/296179. Let q = 2697 - j. What is the common denominator of -67\/28 and q?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57*(-5)\/10*((-1288)\/(-69))\/28.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 230047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a kilogram in grams?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120803.\nAnswer: 107, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11176 and 3124.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-185)\/(-666))\/(5\/8).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1460 + 1462. Put 3, 9, 0, j in increasing order.\nAnswer: 0, j, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.655, 0, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 57 and 85.\nAnswer: 4845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155648 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 70 = -12*l. Calculate the remainder when 618\/(-18)*(-4 + 1) is divided by l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 9:14 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70000144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26040423.\nAnswer: 3, 1481, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 11*d - 30*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 8*k + 7. Let i be (2 - 6595\/(-35)) + (-4)\/(-7). Let o = i + -185. Calculate m(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**2*n**4 - m**2*n**3 + 9*m**2*n - m**2 + 111*m*n**2 - 1056*n**4 + 4*n**2 wrt n.\nAnswer: 24*m**2*n - 6*m**2 - 25344*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5294*a - 9364 wrt a.\nAnswer: 5294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -182*d + 353*d - 171*d - 17*d**2 + 18*d**2 - 427*d**3 - 1 to the form s*d**2 + x*d + j*d**3 + q and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 776701.9kg?\nAnswer: 776701900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25907 - -25947. Solve -13*k + u*k - 27 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 345*g**2 + 6546*g - 14. Give f(-19).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((-637 - -623) + (-5 - -1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 at most 351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11220, -11218, -11216, -11214, -11212?\nAnswer: -11210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 144*n**3 - 158*n**3 - 6*n**2 - 81*n**3 as s*n + u + m*n**3 + d*n**2 and give m.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/21)\/j**(13\/5)*j\/(j*(((j*j*j*j*j**15*j)\/j)\/j)\/j)*j*j\/j**(-37) assuming j is positive.\nAnswer: j**(2042\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-6) - 7\/(-2). Let b be 6\/(-2) - (j + 29994). Round b to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 651668 (base 10) in base 8?\nAnswer: 2370624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l. Let v(g) be the first derivative of 4*g**3 - 2. Determine x(v(q)).\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/7 + 620\/28. Suppose -p*s = -18*s - 212. Suppose 0 = 5*d + 41 - 131. What is the remainder when s is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4360 (base 16) in base 14?\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l**2 + 23*l + 9. Let f be u(5). Is 118\/5 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66019087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)*r*r\/(((r**0*r)\/r)\/r)*(r**(-1\/3))**48)**(2\/5) assuming r is positive.\nAnswer: r**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -6*u + 3*u. Find the second derivative of -n**2 + 7*n + u - 7 - 5 wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3644624411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*13\/(-26)*45\/9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 x, and 1 d when three letters picked without replacement from {u: 1, t: 1, x: 1, b: 6, d: 3, n: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8*c**2 - 3*c + 4. Let v be i(-4). Calculate the highest common factor of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7350667253 to five decimal places.\nAnswer: -0.73507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4\/5, 0, 0.1, -0.11?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - h - 2)*(-1 + 4*h**3 + 2 - 2*h**3) - 92*h**4 + 32*h**4 - 233*h**4.\nAnswer: -295*h**4 - 4*h**3 - h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/375 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -2, 9, -3, 1331 in ascending order.\nAnswer: -3, -2, 2, 4, 9, 1331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.13 (b) -476 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -47)\/((-1)\/3*(-594 + 603)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**3 + 218*q**2 + 6254*q + 16854 = 0.\nAnswer: -53, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 20*z**2 + 11*z + 17. Let q be (273\/(-84))\/(1\/4). Let a be -2 + 8 + -3 - (0 - q). Is i(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39604250 divided by -70.\nAnswer: 565775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3 + 3 + 7*u**2. Let n(x) = -2*x + 55. Let g(a) = 17*a - 474. Let o(z) = 3*g(z) + 26*n(z). Give o(m(t)).\nAnswer: -7*t**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 2ca9279?\nAnswer: 2ca927a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -182*m**3*x**3 + 6*m**2*x**3 - 2*m*x**2 - 11*x**3 wrt m.\nAnswer: -1092*m*x**3 + 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (3 + -4) - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -400.490919 + -2?\nAnswer: -402.490919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*r = -q - 28, 2*q - 5*r = 0. Let s = q - -17. Let t(n) = -n**3 + 8*n**2 - 7*n + 8. What is the lowest common multiple of t(s) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3106679.2.\nAnswer: 3106677.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 127120 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmv when three letters picked without replacement from {v: 3, j: 1, m: 2, p: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 22*f - 15. Let c be o(30). Solve -24*r - c = 21*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4341*m**2 - 219*m. Let n(b) = b**2. Give s(n(v)).\nAnswer: -4341*v**4 - 219*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 29*b**2 - 2*b - 18. List the prime factors of m(-4).\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10907 divided by -5?\nAnswer: -10907\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = p - 2*i - 3*i, -2*p = i - 122. Suppose -m - 12 = 3*m, p = -z - 4*m. Let a = 69 + z. Calculate the remainder when 62 is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 105.32 (b) -1\/15 (c) -261\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 123 + -128. Let o be (330\/70 + m)\/(5\/7). Which is the third biggest value? (a) 13 (b) 0.8 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8*n**3 + 2*n**2 - n + 87. Let f(m) = 27*m**3 + 7*m**2 - 4*m + 261. Calculate 7*c(j) - 2*f(j).\nAnswer: 2*j**3 + j + 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31162 is divided by 749?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 - 7 - -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - w - 1. Let k(x) = x**3 - 2*x**2 - 2*x + 1. Let q be k(2). Let v = q + 2. Determine m(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184360 and 3080.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000365775992 to 6 decimal places.\nAnswer: -0.000366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4\/21 + 3057394*v**3\/21 - 12229600*v**2\/21 + 4076536*v\/7 = 0.\nAnswer: -1528701, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q + 3. Let r(n) = 5*n - 4. Let z be ((-8)\/(-3) - 4)*3. Let l(f) = z*y(f) - 3*r(f). Let p(h) = 7*h. Determine l(p(w)).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25.78189kg?\nAnswer: 25781890000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 2*c**2 + 6*c - 1. Calculate k(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 956502 and 3942.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 10 (b) 4\/7 (c) 1.2 (d) -4 (e) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 37*v**2 + 16*v. Let x(w) = -39*w**2 - 20*w. Let i(o) = -4*x(o) - 5*y(o). Let p(z) = 2*z + 4. Calculate p(i(a)).\nAnswer: -58*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/113, -0.3, 3 in descending order.\nAnswer: 3, 3\/113, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 76233737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, d: 2}. Give prob of picking 1 d and 2 o.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 9:48 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/(-1*sqrt(8)) + sqrt(11))*2*4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*l + 16, -115*l + 113*l + 15 = 5*a. Suppose 4 = -5*x - 5*f + 9, 2*f = -x - 2. Let t be (1 - -2)\/(x\/8). Solve -a + t = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbxxpxpbppxxpxpxxhx. Give prob of picking 1 b and 2 x.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6568\/(-8160) + (-16)\/(-120) and -131\/6?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**3 + 59*b**2 - 1314*b + 22039. Give v(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) 2 (c) 3\/4 (d) -7197.88\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2020 + 2201303201?\nAnswer: 2201311221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiiiiiziiziiii. What is prob of picking 4 i?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(d - 5*d + 2*d) - d - 2*d + d - 3*d + 0*d + 2*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-3 - (-6 - -11)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 15 - 370\/259*(-280)\/(-100).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 704903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.2369cm in nanometers?\nAnswer: 1232369000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-28 + 10)*(-1)\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 32112201?\nAnswer: -32112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 26*y**4\/5 + 13178*y**3\/5 + 37366*y**2\/5 + 35302*y\/5 + 11088\/5 = 0?\nAnswer: -504, -1, -11\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a + 18*a + 32 = 0. Calculate the common denominator of 71\/9 and 17\/(-30) + (-126)\/27 + a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 33*f**2 + 54*f + 258. Calculate v(31).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9432601979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3)*(-2191*q + 2191*q - 1500*q**2).\nAnswer: -4500*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkxxkckpkkkxxxxkxxcx. What is prob of sequence pcxc?\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 7. Let u be g(6). Let x be 1\/(3\/6*u). Let y be (-4)\/x + -1 + 7. Solve l - 1 = -0*l - 5*d, 4 = y*l - 5*d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/2)\/(16\/64). Suppose -2*d - n*d = -8. Sort -2, -5, d in ascending order.\nAnswer: -5, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -8578*g + 68600. Determine z(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3*10598635\nAnswer: 31795905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, f: 1, y: 2, j: 1, l: 1, m: 1}. What is prob of picking 1 b, 2 j, and 1 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 7*f**5\/60 + 2*f**2 - 3. Let o(x) = -x**2. Calculate o(k(v)).\nAnswer: -49*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -153\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c + 4. Let r = 3 + 7. Suppose -r = 5*f - b + 6, -4*b - 11 = 5*f. Let h be ((-12)\/9)\/(f\/9). Let n(i) = i + 1. Calculate h*n(w) - o(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.4 - 1.6. Put 5, 9, n in decreasing order.\nAnswer: 9, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14694 divided by 93.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1825 = 9*z + 547. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2273, -4565, -6897, -9275, -11705, -14193?\nAnswer: -16745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 441 and 391814073.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - -11 - -30 - 36?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111000110100 (base 2) to base 4.\nAnswer: 1320310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10380270180 - -10380270323.23070947. Let d = 259.23070698 - c. Let l = -116 + d. What is l rounded to seven dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 36322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -86 in -1\/6, 1\/3, -0.9, -0.235, 2?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6461212854 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**2\/7 + 27118432*t\/7 = 0.\nAnswer: -6779608, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*x**5\/7 - 75574*x**4\/7 + 12085058*x**3\/7 - 618005046*x**2\/7 - 3237751478*x\/7 + 1264578124 = 0.\nAnswer: -511\/78, 2, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 0 + 0*j**2 - 2*j + 1\/3*j**3. Let r(m) be the first derivative of -2*m**3\/3 + 2. Determine r(v(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -6*j**3 + 6*j**2 + 31*j - 16. Let a be g(-13). Let c = a + -7938. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 396 and 7821.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 - 2*y - 1. Let a be p(-1). Suppose 1 - a = -2*q. Let f be 1\/(q + -2)*-7. Is f smaller than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 148960?\nAnswer: 446880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -9, -32\/9, -5 in decreasing order.\nAnswer: 1, -1, -32\/9, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99 - 55*i - 99)*(4*i + 3*i - 6*i + (-3 - 1 + 6)*(0*i - i + 2*i)).\nAnswer: -165*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 74\/5 of a litre?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 3*y + 1. Suppose -5*x - 86 = 3*a, -46 = 5*a + 4*x + 80. Let v = -24 - a. Give n(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llrlllzll. Give prob of sequence rl.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 293.3 - 293. What is the biggest value in h, -25, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7165 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 1 + 0*m**2 - 2*m**2 + 6 to the form s*m + c*m**2 + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -19797 and 0.1622.\nAnswer: -19796.8378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, m: 2, t: 2, v: 4, y: 4, f: 1}. What is prob of picking 1 r and 1 m?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -222102222 (base 3) in base 4?\nAnswer: -10231031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-195 - -210) + (-4 - 1 - -72)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 270, 268, 266?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5145725 and 58433.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d - 44. Let l be i(5). Round l to 0 decimal places.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-28)\/8*4. Let n = 16 - g. Suppose 16 = 4*m, -n*y + 4*m = 3*y - 74. Calculate the least common multiple of 124 and y.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -102ab - -17bb?\nAnswer: -c8d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 494 and 76?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 21*l**2 + 61*l + 1291. Let n be x(-21). Let u(j) = j**3 - 10*j**2 - j + 14. Determine u(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68252441 is divided by 251854?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2 - 22.4?\nAnswer: -25.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, c: 1, q: 4, v: 9, z: 3}. Give prob of picking 2 v.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + -70?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3121616*c. Let b(u) = -u**2. Give b(h(w)).\nAnswer: -9744486451456*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13166790 + -13166790.035999932. Let b = j + 0.036. What is b rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9308*q**3 + 8211.\nAnswer: 27924*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 17*s**3 + 11*s**2 + 96*s + 3. Let q(f) = 3*f**3 + 2*f**2 - f. What is p(z) - 5*q(z)?\nAnswer: 2*z**3 + z**2 + 101*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186 and 68595839.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*q**2 + 4*q**2 + 0*q**2 to the form d*q + o + g*q**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/210112 and 101\/1120?\nAnswer: 1050560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -215623, -213291, -210961, -208633, -206307, -203983?\nAnswer: -201661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -264 - 0?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3050390489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 57 = 53. What is the remainder when (1134\/56)\/((-1)\/w)*-10 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/2424 and 99\/5252?\nAnswer: 31512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*w - 3*w. Let r be 7*-1*w\/21. Let y(a) = -a**2 - 2*a + 2. Give y(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17329, 34653, 51977, 69301, 86625?\nAnswer: 103949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5 + -11375?\nAnswer: -11372.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 98957813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29186293.\nAnswer: 43, 809, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -3.3. Let o = -0.42 + 0.12. Let d = o - 0.1. Which is the biggest value? (a) d (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29398 + -29400. Which is the nearest to 0.9? (a) 5 (b) y (c) 0.4 (d) 0.015\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 10, l: 10}. What is prob of sequence qq?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a millimeter in micrometers?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c**2 + 16*c + 10*c**2 + 8*c**2 + 13*c**2 + 59*c = 0 for c.\nAnswer: 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 5*u + 3, 8*u + 20 = 4*j + 12*u. Suppose 5*w + j*v - 543 = 0, -7*w + 5*w - 4*v = -210. Calculate the smallest common multiple of w and 12.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8229 - 3875854\/471. Is b bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 9*n**3 - 14*n**2 + 8*n. Suppose 47*s + 173 = -62. Suppose x + 13 = 5. Let f(w) = -6*w**3 + 9*w**2 - 5*w. Determine s*b(q) + x*f(q).\nAnswer: 3*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j\/(j\/((j*(j**(1\/6)*j)\/j)\/j)*j))\/j)\/(j**2\/j))**(2\/9)*j**1\/j**(-1)*((((j\/j**(-3\/7))\/j)\/j*j)\/j*j)\/j**(-2) assuming j is positive.\nAnswer: j**(802\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 666 - 435. List the prime factors of f.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.47 + 0.47. What is the second smallest value in 1\/2, 3\/5, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88192.51 micrometers to millimeters.\nAnswer: 88.19251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 9*k**3 + 2*k**2 + 11*k - 31. Give q(2).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-6))\/(4\/(-12)). Suppose 122 = 4*y - q*x, y - 27 = 2*x + 2. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1000 = -73. Let n = f - -1833. What are the prime factors of n?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-3 + 2)*-4. Let f = 5 + z. Suppose 2 = -f*w + 2*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**2 + 13*x + 5*x**2 + 5 - x**2 - 2*x. Let f be i(-11). Suppose 2*w - 129 = -m, m + 0*m = f*w + 122. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6062 and 26586.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 11*a**4 + 88*a**3 + 6*a - 5192. Let g(x) = x**4 + x. Let m(s) = 6*g(s) - y(s). What is the first derivative of m(h) wrt h?\nAnswer: -20*h**3 - 264*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -307.5148546 to two dps.\nAnswer: -307.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4 - 7. Suppose -4*a + 100 = 2*q - 0*q, -a + 15 = x*q. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18 or -34?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18270260 to the power of 1\/2, to the nearest integer?\nAnswer: 4274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 11*n + 13. Let k be f(-12). Which is the closest to k? (a) -0.1 (b) 2\/7 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + t + 4*t)*(-6807 + 1509 + 44152 + 26380 + 11366 + 39946).\nAnswer: 116546*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2498 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 5:52 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 = -r, -5*a + r = -17 - 16. Let o = -8 + 23. Suppose -o = n - a*n. Solve 4*b + n*i = -i - 36, -3*i - 35 = 5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52.5831 + 9.\nAnswer: 61.5831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 23753, 23772, 23791?\n\"Answer: 19*n + 23734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 10*u**2. Let m be c(-10). Suppose -5*p - 2 - 3 = m. Suppose t - 3*g = -g + 5, -3*g - 2 = 4*t. Sort p, -4, t in ascending order.\nAnswer: -4, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.86047*-4\nAnswer: 3.44188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(4 - 3) - -3. Let r = -112 - -114. What is the derivative of -9*h**4 + 3*h**r + h**2 - 4*h**2 - l wrt h?\nAnswer: -36*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 141 = 3*g - 61, -10 = 5*f. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 29\/5 of a gram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdg when three letters picked without replacement from {u: 6, b: 4, g: 4, d: 1, l: 2}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**3\/3 + 3*a**2 + 2*a. Let o(x) = x - 4. Determine 8*o(k) + 5*t(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 54\/223, 1\/4, -336?\nAnswer: 54\/223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -357, -362, -367, -372?\n\"Answer: -5*j - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - u + 134. Let x be l(-12). Suppose 5*r + x = a - 1, 0 = r - 1. Suppose -2*k + 5*n - 6 = 0, -3*n - 3 = k - 11. Solve -10*v - k = -a*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9221.1 + 9221. Which is the second smallest value? (a) 2\/7 (b) 10 (c) 1\/5 (d) -3 (e) s\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*k + 86*k = -100*k - 1176 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*a - 1 + 32*a + 35*a + 235*a to t + h*a and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*r + 6*r. Let j(i) = 17*i**2 - i - 1. Let v be j(r). Is 899\/v + (-20)\/(-170) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 260 = 5*u. What is the second derivative of -6*l + 8*l**3 + 55*l**2 - u*l**2 wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -204 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22\/9 - -79\/36. Let f = 0.2 - 0.1. Let l(n) = 33*n**2 + 307*n + 90. Let v be l(-9). What is the closest to g in v, f, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -335*w - 298 - 2*w - 153*w + 298 + 496*w**5 wrt w.\nAnswer: 9920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-54204)\/(-76789))\/(4\/6 - 1)\nAnswer: -36\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2*b = 12 - 2, n + 2*b + 10 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l**2 + l - 8. Let t(p) = -4*p**2 - 7. Let i(g) = -6*o(g) + 7*t(g). What is the units digit of i(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(133)\/(-1*sqrt(7) - sqrt(7) - sqrt(7)))**2 + (0 + 4 + sqrt(76))**2.\nAnswer: 18*sqrt(19) + 928\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 555 and 333.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = 416 - 11. Which is smaller: v or -42?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1313448, -1313252, -1313056, -1312860, -1312664?\nAnswer: -1312468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - -0.7. Let b = -3.12 + 0.12. Let w = 5 + b. What is the smallest value in j, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2 - 1109*f + 1108 = 0. What is f?\nAnswer: 1, 1108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 12. Let d(i) = -i**2 + 11*i. Let b be d(q). Let n = -4 + 9. Solve -n*l - 5 = 3*g, 4*g = -b*g - 5*l - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k**2 + 2*k - 4. Let n(y) = -y**3 - 5*y**2 + 8*y + 9. Let m be n(-6). Let w(u) = -3*u**2 - 2*u + 3. Give m*w(a) - 2*i(a).\nAnswer: a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -107 - -109. Suppose 2*q - 4 = 4*b, q = -h*q - b - 1. Let o(f) = f**3 + f**2 + f + 39. Calculate o(q).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbf when three letters picked without replacement from {i: 1, g: 3, f: 2, z: 3, b: 4, x: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**5\/30 - 23*y**4\/12 + 13*y**3\/6 - 2*y**2 - 15*y. What is the units digit of k(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1367196 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omaaocoo. What is prob of sequence aoc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 505303407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 - 3)*(-3)\/(-5). Let b(i) = 1 + 2*i + i**3 - i**2 - w*i**2 + 3 - 2. Calculate the remainder when 19 is divided by b(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 2*r + 18. Let q(y) be the second derivative of -3\/2*y**2 - 82*y + 1\/20*y**5 + 1 + 7\/12*y**4 + 7\/6*y**3. Determine q(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -51490, -103148, -154796, -206434, -258062?\n\"Answer: 5*n**2 - 51673*n + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1439.2 + 1439. Suppose 2 = 2*j + 12. Let v = -125\/3 + 40. What is the smallest value in v, j, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5357 - -0.4941. Does p = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2195*(6\/(-15) + (-392)\/20). What is s rounded to the nearest one thousand?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11474 + 3686.56375?\nAnswer: 15160.56375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -757*p**3 - 5*p**2 - 5*p + 15. Let j(r) = 1135*r**3 + 7*r**2 + 7*r - 21. What is 5*j(l) + 7*u(l)?\nAnswer: 376*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 11*x - 14. Let l(j) = 6 + 7 - 30 + 4*j + 12. Calculate 8*l(d) - 3*n(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9640 is divided by 1049?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*j + 4*y - 76, 3*j = -4*y + 52. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 5. Suppose -u*v - 18 = 3*f, -5 = -4*f + 5*v - 2. What is the tens digit of (-30)\/f + 2\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 10 (b) -1 (c) -3\/115 (d) 5 (e) 4 (f) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 7. Let n(w) = -w**3 + 2*w**2 + 1. Let t be n(-3). Let v = t - 28. Calculate the greatest common divisor of y and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9553310 divided by 86\nAnswer: -111085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*u**2 + 3 + 2*u.\nAnswer: (u + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 6*l + 2*l)*(-52 + 16 - 28).\nAnswer: 128*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 12:02 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/10, -496225, 1\/2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ataaaaaah. Give prob of sequence aaht.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 182 - 182. Let m(l) be the third derivative of 0*l + t - 9\/2*l**3 + 3\/2*l**4 - 8*l**2. Differentiate m(z) wrt z.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 7 + 2 - (-7 - (-3 - -3))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1\/4 (b) -74\/63 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 15*u**2 - 2*u - 17. What is o(15)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4*b = 3*w + 15, -2*b + 9 = -3*w. Suppose -5*l = 0, -3*n - 66 = 4*l - 2*l. Let m = n + 199\/9. Which is smaller: m or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 725, 727, 729, 731?\nAnswer: 733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000384478485 rounded to seven dps?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 27*t**2 - 129*t + 139. Determine j(31).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 7. Let n be v(-4). Suppose -n*c + b + 39 = -0*b, -5*b + 15 = 0. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 325.0199l to millilitres.\nAnswer: 325019.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/9 and ((-11859)\/(-472))\/((-2397)\/(-12) - -2).\nAnswer: 4842","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 < -2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11815195 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 829, 1998, 3207, 4456, 5745?\n\"Answer: 20*q**2 + 1109*q - 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22220 divided by 11110?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 34. Let a be 2\/8*0 - r. Suppose 0*b + a = -5*b. Let c(n) = n**2 + 4*n - 7. Give c(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/34*6 - (-104)\/4?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 2937?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from tooot.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 12:23 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (48\/(-36))\/(24\/(-882)). What is the highest common factor of k and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 4*d**2 - 4*d - 1. What is the remainder when 7 is divided by g(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 4 - (4 + -1) - -16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 124 and 12?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 5.2527?\nAnswer: -0.052527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3664.999987224 + -3665. What is x rounded to seven dps?\nAnswer: -0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*u + 10 = 138*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 212610, 30, 1.\nAnswer: 0, 1, 30, 212610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -255.8567376 + -69.1434354. Let y = n + 325. What is y rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 5. Let z = -18 - -18.12. Let s = z - 0.42. Which is the third smallest value? (a) m (b) -2\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.7010596 nanograms?\nAnswer: 0.0000000000007010596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 + 70. Let u(o) = 2 + 3*o - 3 + 3. Calculate u(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1100?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.2, 3, 1\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 22 = 22. Solve -4*x + k*x - 4 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/6)\/((-20)\/45). Solve j*g = 0, 4*g - 3 = 3*n + g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37.1 + 37. Sort 0, -1\/4, v, -3 in increasing order.\nAnswer: -3, -1\/4, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 a when three letters picked without replacement from rrrrlarrar.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t. Let y(u) = 977*u. Determine i(y(o)).\nAnswer: -3908*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 1:16 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 321816, 324968, 328120, 331272, 334424?\n\"Answer: 3152*m + 318664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -2*u + 9*u + 9, 120*u - 41*u - 4*q = 75*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 374960 - 1865107\/5. Let v = m + -1935. Find a, given that 12\/5*a + 2\/5 - v*a**4 - 12\/5*a**3 + 16\/5*a**2 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2542*z - z**2 - 1 - 3 + 2534*z - 2. Give s(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 8*f - 8. Let d be k(6). Suppose -3*h + 3675 = 3*p, -d*p - 1039 + 4709 = 3*h. Let s = h - 62732\/51. Which is greater: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u**0))*u)**(2\/51))**37 assuming u is positive.\nAnswer: u**(148\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9.8? (a) -1 (b) -1\/4 (c) 2\/7 (d) 0.0306 (e) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -81*f**3 + 2*f + 1. Let n be t(-1). Is 28 a factor of (n\/5)\/(2\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1246677860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + -1 + -45 - (56 + (97 - 149))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/7)\/(i\/((i\/(i\/(i\/i**(-4\/7))*i)*i)\/i*i*i))*(i**(-2\/3)*i)**(18\/11) assuming i is positive.\nAnswer: i**(141\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/145325 and 32\/40691?\nAnswer: 1017275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28*26\/((-936)\/(-63)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -2) + 2 + (-1 - 5). Let f be ((-124)\/10)\/((-8)\/20). Suppose 4*y + 3*n = f, n - 4 = 4*y - 3*n. Sort 10, y, d.\nAnswer: d, y, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhdmh. What is prob of sequence zmh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 693 = 8. Let u = w + -113. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119953560?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43\/11 + -97\/22. Which is the nearest to 0? (a) 2 (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6.7 or 3226?\nAnswer: 3226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 d, and 1 a when four letters picked without replacement from {d: 1, w: 4, y: 1, r: 2, j: 2, a: 5}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8357?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 424755119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*(s*s**(1\/18)*s*s)\/s))**8*(s**(-4\/5)\/s)**1)**(1\/14) assuming s is positive.\nAnswer: s**(-821\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21490337 to the nearest integer?\nAnswer: 4636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-44) - 2406787\/47234?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -86, -83, -80, -77, -74, -71?\n\"Answer: 3*h - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 459 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + -34. Solve -5*o + w = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -10*o**2. Let k(v) = -17519*v. Calculate i(k(g)).\nAnswer: -3069153610*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 6.19936\nAnswer: -12.39872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181, 223, 267, 313, 361, 411, 463?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -681416, -1362844, -2044270, -2725694?\nAnswer: -3407116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407*n = -521*n + 1368 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**6*v - d**4*v + 8*d**3 - d**2*v + 5*d**2 + 10 wrt d?\nAnswer: -360*d**3*v - 24*d*v + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 903179026 and 1146.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 17*k**2 - 26*k - 2. What are the prime factors of f(-8)?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 86203.\nAnswer: 775827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 11:15 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16528447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -376 divided by -760132.\nAnswer: 94\/190033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - m = -4, m = -0*m - 4*m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(80) + sqrt(80) + 3 + (sqrt(80) - -6*(-1*sqrt(80) + sqrt(80) - sqrt(80))**2) + 4 - (6*(-3 + sqrt(80)) + ((sqrt(80) + 0)*5)**2 + sqrt(80)).\nAnswer: -1494 - 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -174*r**2 + 6562*r\/3 + 2912\/3.\nAnswer: -2*(r - 13)*(261*r + 112)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -99660 - 9.36.\nAnswer: -99669.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -v**4\/4 - 5*v**3\/3 + 2*v**2 - 3*v - 3. What is the least common multiple of o(-6) and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -1. Suppose 2*g - 12 = 6*g - h*v, 0 = 2*v - 6. Suppose g = 4*j + j - 5. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 6*y**2 + 5*y + 5. What are the prime factors of q(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w = -2*z + 39, 3*z - 4*w = 75. What is the highest common factor of z and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 154*i**2 - 64*i**2 + 207*i**4 + 474*i**2 - 5*i - 206*i**4 in the form c*i + a + l*i**3 + s*i**4 + p*i**2 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -126260\/11 or -11478?\nAnswer: -11478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**0*j*j)**(-1)\/(j**(-3\/7)\/(j*j**(10\/7)\/j)) assuming j is positive.\nAnswer: j**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27\/4 - -131\/20. Let m be (-2)\/(-7) - 90\/21. Let l(s) = -s**2 - 4*s - 4. Let f be l(m). Which is the third smallest value? (a) -1 (b) j (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5848 and 82646?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 + 1210*d - 10485.\nAnswer: -5*(d - 233)*(d - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-10) + (-18)\/(-4). Let p be (-28)\/(-6) - h\/(-12). What is the third derivative of 2*c**p - 6*c**4 + 6*c**4 - c**2 wrt c?\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*q - 6632 - 4921 = 350*q + 10351 for q.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3946 + 249970?\nAnswer: 253916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19dd - -1a?\nAnswer: -19c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12016 and 50304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22089 tonnes in micrograms?\nAnswer: 220890000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1582612309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-23226)\/2212*4\/18\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26079317?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(720) - sqrt(720) - sqrt(5) - sqrt(5)) + sqrt(5)*-4*-3)**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -42180, 4, -4, -2, 0 in ascending order.\nAnswer: -42180, -5, -4, -2, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 - 233*f - 2. Let z(h) = -h**2 - 231*h - 1. Determine 3*i(l) - 4*z(l).\nAnswer: -2*l**2 + 225*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 3:22 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27a (base 15) to base 5.\nAnswer: -4230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) 306760 (b) 2\/17 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-37)\/(-185))\/(2 - 7 - (-785)\/150)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13431 + -213?\nAnswer: -14144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19477706 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 35 - 67 = 0. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15770 (b) 185 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66298199063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from splqp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 120442 (base 8) in base 12?\nAnswer: 1ba56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**2 + 5586*l - 7800849 = 0.\nAnswer: 2793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -1) + 3 - (1555 + -1472)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/143 (b) -3 (c) -313 (d) -4 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -42688*c = -42692*c - 6*a - 100, -4*c - 2*a - 28 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/14)\/2)\/(280\/490).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1650 + -1584. Let x be h\/(-605)*(-4)\/(-24)*-10. Suppose 2\/11*p**4 + x*p**2 + 0 + 0*p + 4\/11*p**3 = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -307c (base 14) to base 8\nAnswer: -20226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 45.9269 and -36.2.\nAnswer: 9.7269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/4031 and 77\/58?\nAnswer: 8062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 15192016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81594 divided by 5.\nAnswer: 81594\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1266194869315\/45005642 + -7\/2045711. Let h = m + -28139. Find the common denominator of h and 81\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.34198 rounded to 2 dps?\nAnswer: -1.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 7) in base 14?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -6*z + 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -12, 7, -2, 3 in increasing order.\nAnswer: -12, -2, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15245346 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g - 55*g + 180 = 0. Calculate the remainder when (6\/(-5))\/(20\/(-450)) is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 65*j**2 - 88*j**2 + 25*j**2.\nAnswer: 2*j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138 and 18429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3338598023, 3338598024, 3338598025, 3338598026?\n\"Answer: b + 3338598022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416433*y + 416208*y + 20250 = 0 for y.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 7*l**2 - 5*l - 4. Let v be i(6). Suppose 0*w = -v*w + 18. What is the smallest common multiple of 1 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppi when four letters picked without replacement from pppigpzpyg?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 19 + 5 + -28.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 528369 + -534147.78. Let p = -5887 - m. Let t = 104 + p. What is t rounded to 1 dp?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 155105 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1934?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 113*p*u**2 + 308*p*u - 436983725*p - 47*u**2 - 2*u wrt u?\nAnswer: 226*p*u + 308*p - 94*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 941408510?\nAnswer: 2, 5, 7, 13448693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5))**(22\/7)*(j**(1\/2)*j)\/(j\/(j**(-9)*j)) assuming j is positive.\nAnswer: j**(-437\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 80, 346, 794, 1424, 2236, 3230?\n\"Answer: 91*p**2 - 7*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 52?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*j + 28*j + 10*j**2)*(-3*j - 2*j**2 + 3*j) - 2*j**4 - j**4 + 4*j**4 in the form q*j**2 + i*j**4 + l + f*j**3 + k*j and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -290, -524, -846, -1286, -1874, -2640?\nAnswer: -3614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-15) + 66\/(-10). Suppose 2*n = -4*y + 42, -3*n + 0*y - 3*y = -51. Suppose -j = -n*j. Sort -1, k, j in decreasing order.\nAnswer: j, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-38) + 5440\/(-2584).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-87)\/(-29) - 54\/21. Let s = 698\/7 + -100. Which is the closest to s? (a) 1 (b) p (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 805*f**4 - 33*f**3 - f**2 - 49195*f wrt f.\nAnswer: 9660*f**2 - 198*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 10*o**2 + 6*o - 10. Let a be x(-8). Let j be (19\/3)\/((-1)\/6). Let z = j + a. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4117 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -2*a + 5*a. Let u = a + -32. Let s(c) = -c**2 - c + 22. Calculate the remainder when s(0) is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -106, 28, 226, 494, 838, 1264, 1778?\nAnswer: 2386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frifiirffifri. Give prob of picking 1 r and 3 i.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105470?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32606910 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -382121 - -3.7627?\nAnswer: -382117.2373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 1\/90*n**5 - 122*n + 0 + 0*n**3 + 1\/63*n**7 - 1\/27*n**6 + 0*n**2 + 1\/54*n**4. Factor w(i).\nAnswer: 2*i**2*(i - 1)**2*(3*i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -4 (c) 199083\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 462889997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**3*k + 42*d**3 - 890*d**2*k*w - 2*d*k*w - 303*d*k - 5*k - 6 wrt d.\nAnswer: -24*d*k + 252*d - 1780*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2525*b**3 + 7*b**2 + 54*b - 64. Let m(f) = -1263*f**3 + 4*f**2 + 24*f - 31. Let w(r) = -4*j(r) + 9*m(r). What is the third derivative of w(u) wrt u?\nAnswer: -7602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 11*i**2 - 162*i - 11683. Give v(-26).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 3 + 3)*(5 - 5 + 3*b) - 2*b**2 + 0 + 0 + ((842 + 190 - 1636)*(3*b + b - 5*b) + (2 - 4 + 0)*(2*b - b - 2*b))*(-b + 0*b + 0*b).\nAnswer: -605*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7*f**2 - 30. Let b = 274 + -278. Let i(m) = 6*m**2 - 11 + 25 + 16. Let p(x) = b*a(x) - 5*i(x). Differentiate p(u) wrt u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q + 107 + 136 = 387. Let u(k) = -k**3 + 11*k**2 + 17*k - 32. Give u(q).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -4.79 (c) -1316 (d) 0.4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40285 divided by 7.\nAnswer: -5755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.469 - 0.069. Suppose v - 17 = -4*v - 2*m, 2*v = -4*m + 10. Let o be (-18)\/10*(-1)\/v. Which is the nearest to o? (a) 0 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 2*p**2 - 16*p - 4. Let l(o) = -o + 1. Let z(f) = d(f) + 5*l(f). Determine z(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/17514 - -35039\/192654. Factor -1\/11*l**4 + s*l - 2\/11*l**3 + 0*l**2 + 1\/11.\nAnswer: -(l - 1)*(l + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/((-17)\/6)*(-5)\/2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 3:46 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r + 4. Suppose 3*o = -4*m - 1, -3*m + 50 = 3*o - 8*o. Let u(q) = -11*q + 9. Calculate o*j(g) + 3*u(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 946807169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.6 + 0.1. Let k = -0.727 - 1.773. Let p = k - o. Which is bigger: 22 or p?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.2 + -2.2. Which is the nearest to u? (a) -4 (b) 2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40468 is divided by 40411.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164875243 to the nearest integer?\nAnswer: 12840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5523153*c**3*q + 2*c*q - 23664*c - 5*q - 1 wrt c?\nAnswer: -33138918*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 67, 96, 145, 220, 327?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 767624.3 centimeters in kilometers?\nAnswer: 7.676243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3*y = -0*y - 15, -4*q - 3*y = -27. Suppose 0 = -0*l - 3*l - q. Is -2 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5\/5 - 22*d**4\/5 - 12*d**3\/5 + 296*d**2\/5 + 784*d\/5 + 576\/5 = 0. What is d?\nAnswer: -9, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -676972 divided by -169243.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86241*g + 33331 + 20273 - 15324 = 86879*g for g.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 - (225 + -109) - (2 + 16 + 2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 87.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -174 greater than or equal to -176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10\/11)\/(p*p**(-27)))\/((p*p*p*(p**18\/p*p)\/p*p*p*p)\/(p\/(p**15*p))) assuming p is positive.\nAnswer: p**(-142\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*j, a = -4*j - 2 - 4. Sort -50, 3, 5, j.\nAnswer: -50, j, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/84 and 5\/4242.\nAnswer: 8484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0, -5, -0.2, -1307, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30927 - 65064 = 53*o - 31381 for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 92291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 - 7*g + 6. Let d be x(3). Let u be d*((-2)\/1 - 5). Is u >= -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 989*a**3 - 310*a**3 + 737*a**3 + 292*a**3 + (0*a**2 + 3*a**2 + 0*a**2)*(-a + a - a) as y*a**3 + d*a + b*a**2 + s and give y.\nAnswer: 1705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -27. Calculate the smallest common multiple of 24 and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1083\/4 - (-6)\/(-8). Suppose -86 = c - 0*c + 3*l, -5*l = 3*c + v. What is c rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 + 97920*a**3 + 97958*a**3 - 195876*a**3 - 2.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001592665035 rounded to 5 dps?\nAnswer: 0.00159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**2\/i**(-9) assuming i is positive.\nAnswer: i**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t**4 - 6*t**3 - 25*t**2 - 6*t + 281. Let v(b) = 5*b**4 + 5*b**3 + 26*b**2 + 5*b - 280. Let i(j) = 5*g(j) + 6*v(j). Differentiate i(w) wrt w.\nAnswer: 20*w**3 + 62*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(121) + sqrt(121)))\/(sqrt(33)\/sqrt(3)*6)*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhhppxrhhhhphxr. Give prob of picking 3 h and 1 r.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12979 - -2.\nAnswer: 1.87021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 - 136309 + 136309.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -h - 6 - 3, -4*q = 2*h - 6. Let n = -29 + 35. Find the third derivative of -1 - q*y**5 + n*y**2 + 1 - 4*y**5 wrt y.\nAnswer: -420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 26 = -70. Calculate the smallest common multiple of g and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 3*y**2 - 2*y + 1. Let r be q(-3). Suppose -4*o + 64 = -108. Let p = o + -15. Calculate the highest common divisor of r and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*m + 5*f, 5*m + 5 = -4*f + 33. Suppose -2*t - o = -64, 4*t - t = -m*o + 96. What is the remainder when t is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-15)\/6)\/(-5))\/((-12)\/168)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1061380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**7\/126 - x**6\/18 + x**5\/10 + x**4\/9 - 4*x**3\/9 - 27*x. Suppose a(w) = 0. Calculate w.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 10:34 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 4*f**2 + f - 4. Let s be 7\/((-14)\/(-4))*2. Let j be x(s). Suppose -a - a = j. Solve a*l = 5*l + 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -29. Let y = i - -23. Let m = y + -7.3. Put -1, m, 2 in ascending order.\nAnswer: -1, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -114 + 118. Let q be (-1224)\/(-64) - b\/32. Calculate the highest common divisor of 19 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38451 or -38455?\nAnswer: -38455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 6*a = -4617. Let s = a - -1010. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, 6, -148054 in descending order.\nAnswer: 6, 5, -7, -148054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -32. Suppose 4*f = 4*w + 24, q*f - 4*w - 8 = -2*f. Let t be (0 - 2 - 2) + f. Solve 4*b = t, 3*c - 2*c = 4*b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - 19434?\nAnswer: -19441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/42 and -101\/336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19417895 to the power of 1\/2, to the nearest integer?\nAnswer: 4407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 3*y - 44. What is the tens digit of v(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153\/(-27)*((-2)\/(-6))\/(4\/12)\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 377 = -328 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -13*g + 18*g**2 + 20*g - 6*g**2 + g**3 + 7*g + 6. Is d(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j + 61. Let v be m(11). Let i(l) = 2*l - 3*l + 4*l + 5. What is the units digit of i(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {c: 9, x: 6, y: 2}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -4 + 5 + -5 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + (-3*(-2*-1*sqrt(176) + 2 + (sqrt(176) - (sqrt(176) + 0))) + 3)**2.\nAnswer: 144*sqrt(11) + 6343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/95 - (-390)\/95. Suppose -4*p = o - 5, -2*o + 10 = -0*o + l*p. Let d(y) be the third derivative of y**5\/30 - y**4\/4 - y**3 - y**2. What is d(o)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3*sqrt(56)\/sqrt(2) - sqrt(252)*-4)\/(sqrt(20)\/(2*sqrt(720))))**2.\nAnswer: 11757312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5478188*y**2. Let f(w) = 13*w**2. What is f(k(a))?\nAnswer: 390137068923472*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-17 - -5) + -17 + 22).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 1 + (sqrt(3) - (sqrt(147) + 1)) + -2)*-1)**2.\nAnswer: 72*sqrt(3) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + -2 + -1 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 7*g**2 + 7*g - 3. Let w(c) = 3*c**3 + 21*c**2 + 21*c - 8. Let u(j) = 11*o(j) - 4*w(j). Determine u(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, y: 1, q: 1, o: 1, s: 2, v: 1}. Give prob of sequence vyb.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**3 - 27*x**2 - 4*x - 10. Let b be n(7). Solve 0 = 3*w + 5*g + 14, -8*g + b*g = -5*w - 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**6\/630 - m**5\/105 + 10*m**3\/3 + 6. Let l(u) be the third derivative of c(u). Factor l(o).\nAnswer: -4*o*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 26 = -3*m. What is the remainder when m is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -719*p**3 + 323*p**3 + 387*p**3.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.64 + -1.64. Let u = 0.07 + -3.07. Let b = u - -5. Sort b, 0.2, g in increasing order.\nAnswer: 0.2, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*t**4 - 12*t**3 + 356*t**2 - 2*t wrt t.\nAnswer: 1536*t - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**4\/2 + 5*n**3\/6 + 11*n**2 - 13*n + 2. List the prime factors of v(7).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -8\/27*w**3 - 4\/9*w + 4 + w**2. Find h such that r(h) = 0.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1671 = -28*m + 5609. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30342469\/677 - 44819. Let l = x - -41273\/2708. Which is smaller: l or 16?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -373, -396, -433, -490, -573?\nAnswer: -688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 9:47 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/18 - 4\/6. What is the third biggest value in -8, x, 0.1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15803 (base 10) to base 16.\nAnswer: 3dbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 257 - 256. Let t = 43 + -48. Which is the closest to -1? (a) -1\/3 (b) t (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 1403278?\nAnswer: -11226224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 185449534 a multiple of 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23473 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287*c + 158 = -251*c - 382. Calculate the remainder when 743 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14870146 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from qqsnqcsscqcqqcqqn.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t = 4*a + 38, a + 5*t - 7 = 0. Let k = 18 + a. What is the greatest common divisor of k and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 74*f - 29. Is 10 a factor of w(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75.9 + -76. What is the nearest to f in -1\/4, -5, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 282.66951?\nAnswer: -283.66951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*t**5 + 4*t**2 + 10*t + 15.\nAnswer: -60*t**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4844*n = -v - 4840*n - 11, v + 8 = 3*n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 3, -0.2, -3, -3\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/48751578 and 29\/43334736.\nAnswer: 390012624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c - 33 = 12*c. Solve 2*v - 3*v = 2*p + 5, -v = c*p + 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33.33 - -33.03. Sort 0.019, 2\/7, 1\/2, n, 2 in decreasing order.\nAnswer: 2, 1\/2, 2\/7, 0.019, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 28207, 113138, 254797, 453184, 708299, 1020142, 1388713?\n\"Answer: 28364*q**2 - 161*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*j**4 + 12*j.\nAnswer: 540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 11696944?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 135, 204?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1939 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((560\/96)\/35)\/((-1)\/(-5))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wubybuwwknbbnkbuuub. What is prob of picking 1 w and 1 u?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 426 = -2*d, -2*p - 4*d = -d - 854. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7 - 1\/4*p**2 - 11\/4*p.\nAnswer: -(p + 4)*(p + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 9\/10*z**5 + 0*z**4 + 1\/15*z**6 + 23*z + 25\/6*z**3 + 0 + z**2. What is the second derivative of j(h) wrt h?\nAnswer: 24*h**2 + 108*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**3 + f - 1. Let b(x) = -12*x**3 - 74*x + 100. Suppose 0 = -44*y + 45*y - 1. Let u(w) = y*b(w) + 5*h(w). Find the first derivative of u(a) wrt a.\nAnswer: -6*a**2 - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223609117.\nAnswer: 239, 935603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2011 (base 3) to base 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 5120648*n**2 - 102412360*n + 512060800.\nAnswer: -2*(n - 2560304)*(n - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84908878.\nAnswer: 2, 113, 375703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-142)\/8 + (-9)\/36. Let c be ((-48)\/q)\/((-20)\/15 - -1). Sort c, 2, -2 in descending order.\nAnswer: 2, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2981, 2747, 2515, 2285, 2057, 1831, 1607?\n\"Answer: p**2 - 237*p + 3217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/4 - 20*o**2 - 253*o + 6348.\nAnswer: -(o - 12)*(o + 46)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*i - 22*i - 28698. Let v = 16205 - i. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from tyzzb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjkahkuhukikkjk. What is prob of picking 1 k, 1 h, 1 a, and 1 j?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, l: 6, y: 3}. What is prob of picking 1 l, 1 y, and 2 e?\nAnswer: 108\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000074562144 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -478141 (base 12) to base 11\nAnswer: -719433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8645797\/8 - 1079307. Let p = -1408 + i. Calculate the common denominator of p and 86*1\/44 + 0.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 7, 0 in descending order.\nAnswer: 7, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82910?\nAnswer: 2, 5, 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 525279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 2*c - 2*c)*(6*c**3 + 0*c**3 - 2*c**3).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*g**6*m**2 + 684*g**4*m**3 - 18*g**2 + 4922*g*m**3 wrt g?\nAnswer: -3960*g**3*m**2 + 16416*g*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + z - 6*z = -68, -4*z - 32 = -2*r. Calculate the highest common divisor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107709073?\nAnswer: 617, 174569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14552551 is divided by 463?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5 - 2 - 3*w - 2. Let u(o) = 4*o - 2. Let z(k) = -3*f(k) - 2*u(k). Determine z(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180 - (376 + -585)) + -1 + -22.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r - 15 = 51 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.27 + 10.33. Let q = -7.5 + k. What is the closest to -0.1 in -3, -0.3, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.11 - -11. Let d = c + 0.41. Suppose 0 = -2*p - 2 + 8. What is the smallest value in 5, p, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 373409255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}