diff --git "a/data/dm_maths/full_data/1356_11255.jsonl" "b/data/dm_maths/full_data/1356_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1356_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let v(l) = 2*l**2 - 105*l - 1320. Let h be v(-12). Solve 9*p = 165 - h for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003353 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -137 + 142. Solve -c*q + 5 = 5*p, 0 = 5*p + q + q + 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(1\/4)\/y*y)\/y**(-3)*y*y**(-3\/2)*y*y\/y**(-7))**39 assuming y is positive.\nAnswer: y**(2145\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 7:11 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 2*k + 2*k + 0*k - 3*k + 1 - 2*k - 1 + (0 + 4 - 2)*(-4*k + k + k) - 3 + 3 + 2*k + 2*k + 2*k + 2*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a millennium?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74129586 and 6226.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35800a7 - -5?\nAnswer: -35800a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 518286426 to the nearest integer?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 334 by 27458.\nAnswer: 167\/13729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(11\/5)*u**(-3)*u)**(-45) assuming u is positive.\nAnswer: u**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, p: 2, c: 1, s: 1}. Give prob of picking 1 c, 2 p, and 1 s.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -172009 by -4.\nAnswer: 172009\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-1\/3))*y*y*y**(1\/4))\/(y\/y**(1\/3))**6 assuming y is positive.\nAnswer: y**(-17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.1647 - -3.16. Let m = h - -0.0047931. Round m to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -379406 (base 11) to base 4.\nAnswer: -2102001131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 5*k = 0, 2*l + 4*k + 9 = 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -78, -245, -572, -1113?\nAnswer: -1922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*sqrt(2))**2 + -4 + -2 + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -2 + -3 + 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + s)*(0 + 0 - 1)*(-18*s - 1 + 6 + 23*s).\nAnswer: -5*s**2 - 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, -161, 4, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 less than -69412.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30670 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4927.666 micrograms to kilograms.\nAnswer: 0.000004927666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32\/(-176) + (-75)\/11 + 3. Let d(s) = -5*s**2 + 9*s. Suppose -i + 35 = -6*i. Let k(n) = 3*n**2 - 5*n. Calculate i*k(z) + m*d(z).\nAnswer: -z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 4:24 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -8. Let h = y + 4. Solve -4*k = -5*k + h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**3\/2 - 40*j**2 - 157*j\/2 - 39 = 0.\nAnswer: -78, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7691864 less than 7804?\nAnswer: 7804.7691864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 145. Let g = 203 - v. Suppose 5*o - 200 + g = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 4*j + j)*(3 + 0 + 8).\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v**2 + 42*v - 24 = 0. What is v?\nAnswer: -2, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -13952.\nAnswer: -41856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 477 or 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272195077.\nAnswer: 7, 11, 3535001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(343)*-1.\nAnswer: -7*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 14?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o**2 - 3*o + 2. What is the lowest common multiple of g(2) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, y: 2, m: 1, i: 1}. What is prob of sequence my?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, t: 3}. Give prob of picking 1 t and 1 v.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from {p: 2, c: 2, g: 3, q: 1, s: 4}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -28526*o**2 - 4*o + 5. Let p be r(4). Let f be 23362722\/81 - (-10)\/(-6)*1. Let x = p + f. What is x rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 5:36 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b**2. Let i(v) = -6*v + 12. Give i(q(a)).\nAnswer: 36*a**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 25378\nAnswer: -3\/12689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*y = 85*y. Let l be (10\/25)\/((-1)\/(-5)). Suppose 0 = -y*r + l*r - 174. List the prime factors of r.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2e052 (base 15) to base 13\nAnswer: -52820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188, 184, 178, 170, 160?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/3)*c*c)**40*(c**(-1))**14)\/(((c\/c**(-1\/3))\/c)**(-11)\/((c\/(c\/((c**(3\/5)*c*c)\/c)*c*c))\/(c\/c**1))) assuming c is positive.\nAnswer: c**(613\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -795*y + 2169*y + 1616*y - 44850 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -54. Let n be s*(0 + 1) - -2. Solve -n = -3*p + 8*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 292807 to the nearest ten thousand.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p. Let a(n) = -3*n**2 - 5. Let t(m) = 5*m**2 + 8. Suppose 4*g = 19 + 1. Let h(w) = g*t(w) + 8*a(w). Give i(h(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 9*h**5 - 16*h**4 - 33*h**3 + 5*h**2 - 13. Let k(c) = 2*c**5 - 4*c**4 - 8*c**3 + c**2 - 3. Let o(q) = -6*a(q) + 26*k(q). Factor o(r).\nAnswer: -2*r**2*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0.16. Let h = -3.16 - -0.36. Let r = 0.2 - h. Put r, 2, d in decreasing order.\nAnswer: r, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 8. Let x(u) = -4*u - 2. Let o be x(-2). Let q be f(o). Sort q, 3, -4\/5 in descending order.\nAnswer: 3, q, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36977 and 127926.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9947*w + 465 = 10102*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, m: 2, o: 4}. Give prob of sequence momo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 1\/130*g**5 - 5*g - 1\/3*g**4 + 0 - 288\/13*g**2 + 64\/13*g**3. Find r, given that c(r) = 0.\nAnswer: 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44203474 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14253 - -2773. Let w be j\/6 - 6\/(-18). Is w\/14 + 12\/42 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -527, 231, 989?\n\"Answer: 758*h - 1285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 3 - 3*w + 1\/3*w**3 + 5\/2*w**2. Is f(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -201 + -15?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 52*o**2 - 74*o + 214. Calculate h(3).\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*j - 12 = 0, -f - 1 = -4*f - j. Let q(a) = 2*a**2 + 33*a + 10. Let c be q(-19). Suppose -3*i + c = f*i. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -390*m**5 + 3*m - 76.\nAnswer: -7800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 3*x. Let q = 1 + 0. Solve x - q = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, t: 3, g: 7}. Give prob of sequence qq.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 1 - (-1)\/(-7). Suppose 3 - 2 = z. Which is the closest to -2? (a) z (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7110 and 790?\nAnswer: 7110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1163.9 - 1231. Let g = f - -67. What is the nearest to g in -1\/5, -1\/11, -1\/6?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/2)*x)**(-4\/37)\/(x\/x**(-12)*x**(18\/5)) assuming x is positive.\nAnswer: x**(-3121\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - w - 1. Let p be u(-1). Let r = 1 - p. Let n = 3 + r. Solve 0*i - n = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 29*w**2 + 46*w + 209. Let j be i(27). Which is the nearest to -2\/3? (a) 34 (b) -1\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 23, 62, -1 in decreasing order.\nAnswer: 62, 23, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.05 (b) 7 (c) -0.2 (d) 3.11 (e) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1458*d - 1478*d - 5*k + 240 = 0, 5*d + 4*k - 71 = 0 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 21664*n - 4267808. Give o(197).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52.48 - 55. Round l to 1 dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 14*g**3 + 411556*g**2 - 470366*g + 58796 = 0.\nAnswer: -29398, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22111110 (base 3) to base 11.\nAnswer: -4722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence roe when three letters picked without replacement from {i: 2, y: 9, o: 1, r: 2, e: 3, d: 3}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5448085 - 8?\nAnswer: -4.4551915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 25 = i + 3*i + i + 22, 4*i + 68 = -4*u for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 1:23 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 6:21 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/5 - (2 - 226\/70). What is the closest to 1 in f, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 18 = 5*s, 29 = v + 7*s + 41 + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/(-10)*10682\/(-37278) and 77\/76.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2729178 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2000 (base 6) to base 5.\nAnswer: -3212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -10 (b) 2\/5 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 873 = 2*k - 247. Suppose f - 73 = k. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5 = -30. Suppose 4 = -3*o + 2*q, -i*o - 5*q + 4 = -3*q. Let o*g + 1\/3*g**2 + 0 + 1\/3*g**3 = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2 = 4*w - 3*w, -g - 32 = 5*w. Let c = w - -8. Suppose 0 = 4*l + l - 4*z - 158, 0 = -c*z + 6. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 494*w**2 - 3*w**3 - 494*w**2 + 3*w**4 to g + t*w**2 + x*w**3 + a*w**4 + f*w and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 1. Let y(m) = -120 + 124 + 335*m - 329*m. Give -4*p(i) + y(i).\nAnswer: 2*i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**3 - 88*c**2 - 73*c + 51. List the prime factors of m(48).\nAnswer: 3, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 + -68. Let f(v) = -2 + 6 + 1 - a*v + 56*v**2 - 11. Is f(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.981393 months?\nAnswer: 0.58178275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -83 in 1\/4, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376*r - 377*r + 15 = 5*j, 31 = 4*j - 3*r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -3, 13, -11734, -4, 0 in descending order.\nAnswer: 13, 5, 2, 0, -3, -4, -11734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -717246 divided by 9\nAnswer: -79694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -447 times -5?\nAnswer: 2235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 70077086 to the power of 1\/2, to the nearest integer?\nAnswer: 8371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 654638*n**4 - 6*n**3 - 99 + 362 - 4*n + 6*n**3 - n**2 - 659104*n**4 wrt n?\nAnswer: -107184*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + (-3*(sqrt(2736) + (sqrt(2736) + 1*sqrt(2736))*6) - (-5 + -1*sqrt(2736))*-2) + 5)**2.\nAnswer: -13797795 - 20664*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*y - 631*y - 317*y - 20283 + 20283.\nAnswer: -1086*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2342125000 rounded to the nearest one million?\nAnswer: 2342000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1939045.\nAnswer: 5, 19, 20411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11 + (-244)\/(-8))\/((-15)\/(-10)). Solve o*s + 1299 = 1234 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in -1.4, -0.2, 2, 0.3?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1203*q - 1597 = 513 + 296 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 20 = 2*w, 0 = 2*o - 4*w - 664. List the prime factors of o.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence een when three letters picked without replacement from {n: 9, z: 5, e: 3, o: 2}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 2, 395\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**2 + 4*v + 5. Let u be r(-3). Does 7 divide (-9)\/3 - u - 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**3 + 3*o**2 - o. Let i(d) = d**3 + d**2 - 1. Let m(n) = -6*n**3 - 6*n**2 + n + 5. Let v(j) = -5*i(j) - m(j). Calculate 2*u(l) - 4*v(l).\nAnswer: 2*l**3 + 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50883 or 238?\nAnswer: -50883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 135 = h - 4*b, 3*h = b - 81. Let m = h - -173\/8. Let x = 3781\/10 + -366. Calculate the common denominator of x and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(7) - (sqrt(7)*-1 + sqrt(7) + -3 + sqrt(7))) - (sqrt(70)\/sqrt(160) - (sqrt(1008) + 2*sqrt(1008))).\nAnswer: 15 + 143*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180738, -180736, -180734, -180732?\nAnswer: -180730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 - 1412620*k**2 + 249429844800*k + 2494439712000.\nAnswer: 2*(k - 353160)**2*(k + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -3\/8 (b) -0.4 (c) 2 (d) -9.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2*(sqrt(4) - (sqrt(100)*-2 + sqrt(4))))\/(sqrt(8) - sqrt(8)*-1 - sqrt(12)\/(sqrt(6)*2 - sqrt(6))))**2.\nAnswer: -3200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1509 - 4587. Let j = 24205\/4 + v. Let d = 45 + j. What is the biggest value in 6, -0.2, d?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -600 divided by -150.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685616?\nAnswer: 2, 73, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u - 2*u**4)*(-u - 2*u + u - 7*u + 0*u + 4*u + (-2 + 2 - 1)*(3*u + 2*u - 3*u)) + u**5 - 5*u**5 - 3*u**5.\nAnswer: 7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.919131kg in grams?\nAnswer: 5919.131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 4906*v - 4910*v - 4, 0 = 5*x - 5*v + 25 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 4*n**5\/5 + 2*n**3 - 10. What is the third derivative of x(f) wrt f?\nAnswer: 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1. Let l(a) = -a + 3. Let p be l(5). Let f(x) = -10*x**2 - 1. Let r(c) = p*j(c) - f(c). What is the units digit of r(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1509, -1520, -1547, -1596, -1673, -1784, -1935, -2132?\n\"Answer: -c**3 - 2*c**2 + 2*c - 1508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 + 138*m**3 + 282*m**2 + 142*m.\nAnswer: -2*m*(m - 71)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000099083 to seven decimal places.\nAnswer: 0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39633 - 22216. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10002 (base 4) to base 14.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 1. Suppose 3*b - 4*h = 2 - 0, 0 = -5*h + 5. Let a(c) be the first derivative of -6*c**2 - 9*c + 53. Let l(m) = b*a(m) - 22*x(m). Give l(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from {w: 7, q: 1, x: 6}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*n = -24*n - s - 2330, s = -n + 460. Calculate the least common multiple of n and 75.\nAnswer: 2325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 11.2. Which is the nearest to -13\/3? (a) -0.1 (b) 0 (c) v (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58087*g + 58196*g + 1199 = 0 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 + 3 + 1)*(-4*l + l + l) + l - l - 2*l - 2*l + 4*l + 0*l + (0 - 2 + 3)*(3*l + 3*l - 5*l))*(-1 + 1 + l) as j*l + m + z*l**2 and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.5 rounded to 0 decimal places?\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*b - 19*b**2 + 34*b.\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408 = -n - 2*n. Suppose 0 = -c - 2*c + 5*w + n, 5 = 5*w. Suppose 3*h = 4*u + h - 200, u + h - c = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -350544651, -350544654, -350544657?\nAnswer: -350544660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(156))\/sqrt(12))**2 - (sqrt(52)\/sqrt(4) + sqrt(13))*-3) + 4.\nAnswer: 6*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 2*s**2 + 1. Let n be i(1). Let x be (1 - n) + -1 - 1. Let r be 4\/14 - 111\/21. Which is the nearest to -0.2? (a) x (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-118)\/(-177) + 15\/(-9). Are k and 4\/633 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 6*j**2 - 2*j - 3. Let g(f) = -f**2 - 11*f - 3. Let q be g(-10). Let b be y(q). What is the second derivative of 32 - w**2 - 2*w - b wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6 = 3*t, -3*m - m - 16 = -2*t. Let s be 4\/m*(-51)\/34. Which is smaller: s or 1\/30?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z. Let h(t) = 6*t. What is -2*h(g) - 15*k(g)?\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 2*z + 13. Let r be j(-4). Let b(l) = -l + 8*l**2 + r*l - 4*l. Let g(n) = -3*n**2. Determine g(b(y)).\nAnswer: -192*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from {r: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v + 13. Let o be t(7). Let r = 53 - o. Calculate the lowest common multiple of 4\/(-14) - 65\/(-7) and r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/90 - ((0 + 0 - 5512\/795) + 7)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 14*g - 53. Let y be b(17). Let s(j) = -17*j**2 - 4*j. Let i(k) = 8*k**2 + 2*k. Determine y*s(z) - 5*i(z).\nAnswer: -6*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 479525 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 9*u**2 - 10*u + 139. Let h(x) = 11*x**2 - 12*x + 138. Let n(k) = -6*a(k) + 5*h(k). Let z(p) be the first derivative of n(p). Give z(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (138\/(-75) - -2)*5. Let r be (-4)\/(3\/(-15)*1). Suppose 3*a - 21 = 3*s, 2*a - 2*s - 3*s - r = 0. What is the nearest to -2 in k, -5, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 2. Suppose 3*i + 1 = -4*q, 18 = -i - 4*q + 31. Let z(s) = -s**3 + 2. What is i*z(w) - 6*v(w)?\nAnswer: w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29849, -38933, -48017, -57101?\nAnswer: -66185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -6. Suppose 6*b = 7*b + 6. Let x be 2*((-15)\/b)\/(-5). What is the nearest to n in -3, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 45*c**2 - 16*c - 21. Give b(-3).\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -365 + 372. Let w(k) = 2053*k + 252. Is w(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38 - 12) + 9 + -69.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 176*(1 - 6\/4). Let p be (2\/w)\/((-2)\/809596). Let y = 9196 - p. What is the common denominator of y and -47\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*y + 2566147 - 2551275 = 0 for y.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 - -45. Let f = i + 7. What is the tens digit of 20\/32*f*76?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*q. Let t(r) be the second derivative of -r**2 - 1\/10*r**5 + 0 + 0*r**4 + q*r**3 + r. Differentiate t(g) with respect to g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25044382?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2. Suppose -2*t - 3*v + 7 = i, -3*v = -3*t - 13 + 1. Let h = -8993 - -8991. Is t > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65*n**3 - 265*n**3 + 844 - 844 + 80*n**2 wrt n?\nAnswer: -1200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**4 + 4*i**4 + 2*i**4 + (-3 + 4 + 1)*(9112*i**3 - 9112*i**3 + 254*i**4) + 3*i**4 - 4*i**4 + 3*i**4.\nAnswer: 514*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 410.5822039 + -410.58. What is b rounded to 4 dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -139652 divided by 11\nAnswer: -139652\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2722*w = 1511*w - 130788 for w.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o. Let j(n) = -297537*n**2 + 1. Determine t(j(m)).\nAnswer: -595074*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.4, -104, 0.1, -1\/2?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z**3 + z**2 - 1. Let k = 169 - 170. Determine p(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -2.09, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 5)*(1 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -39*h - 3. Let c = 2 - 4. Let z be b(c). Suppose -z - 183 = -3*n. List the prime factors of n.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2 = -0*p + 2*p, i = -4*p + 11. Let u = p + 11. Suppose -w + 2*w = u. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 5)*(2\/(-1) + -3). Let h be 15\/j + -4 - (-4)\/1. Let b = 56 - 51. Solve r + h = 2*c, 3*c = 5*r - 11 + b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(3) - (-3 + sqrt(12))) - sqrt(6)\/sqrt(2)*1) + (-1*sqrt(3) + 0 - 4*sqrt(12)\/sqrt(4)))**2.\nAnswer: 24*sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3348 by -12.\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*j**2*n**2*q + 1461*j*n*q**3 - 5285*n**2*q**3 - 7*q**3 wrt j?\nAnswer: 12*j*n**2*q + 1461*n*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**5\/60 - n**2 - 1467. Let q(x) = -14*x**2. Determine q(z(t)).\nAnswer: -14*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + a - 15. Calculate x(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -2*l**6\/3 - 11*l**5\/5 - 9*l**4\/4 - l**3\/3 + l**2\/2 - 135. Factor x(c).\nAnswer: -c*(c + 1)**3*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13, 48, 135, 298, 561?\n\"Answer: 4*k**3 + 2*k**2 + k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 2474640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 divided by 29959.\nAnswer: 210\/29959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -8. Let z be -2 + -1 - (-3 - s). Let i be ((-5)\/10)\/(z\/(-2)). Is i at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -17. Let o = 2451\/14 - 175. What is the third smallest value in f, 1, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 17*o**2 + 59*o - 56. Determine q(-12).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/27)\/((-8)\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*n + 1. Let d(v) = -3*v - 7*v**3 + v**2 + 8*v**3 + 1 - 1. What is d(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70602015532 + 70602015532 + 26*a**3.\nAnswer: 26*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641 at least as big as 18203\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**4*(j\/(j\/(j**(2\/19)\/j)))\/j)\/((j\/j**(-2\/19))\/j**(2\/3)) assuming j is positive.\nAnswer: j**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (105\/6)\/(-2 + (-29)\/(-14)). Let i be (-4 - 1) + n\/35. Sort -2, i, 18, -3 in increasing order.\nAnswer: -3, -2, i, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 3*i**2 - 2*i**2)*(3 - 7 + 0) + 7*i**2 - 2*i**2 - 2*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - 2) + 10 + 7 + 4 - (1 - 63)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36434280 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(1 - 2*i - 2 - 2*i).\nAnswer: 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 107382005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 769, 2782, 6145, 10864, 16945, 24394, 33217, 43420?\n\"Answer: a**3 + 669*a**2 - a + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(1 - (-3 - -3)). Suppose 4 = -5*p - 3*n - 0, 0 = -p + 3*n + 10. Let t be (-3)\/((-33)\/13) - p. Which is bigger: a or t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 5, -2\/11, 0.2, 2\/9, -2\/13 in descending order.\nAnswer: 5, 2\/9, 0.2, -2\/13, -2\/11, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18563 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: What is the third smallest value in -0.1, 24\/5, -20?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488 is divided by 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -3*l + 4*m + 3, 4*l - 5*m - 1 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**3\/3 + 9106*c**2 + 72924*c + 191450\/3 = 0. What is c?\nAnswer: -7, -1, 13675\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/1568760 and 133\/138696840?\nAnswer: 2357846280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 10*j - 11*j - 16*j)*(-3*j + 0*j + 5*j).\nAnswer: -34*j**2 + 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 11:59 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -7*m + 3*m. Suppose 3*r = -0*j + 4*j + 6, 0 = m*j - r + 2. Suppose -8*d + d + 1085 = j. List the prime factors of d.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1248099 (base 10) in base 2?\nAnswer: -100110000101101100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31220 and 132384?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d = -28. Let b = -7 + d. Solve 2*p + 2*l + 13 = -p, b = 5*p - l for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8815620 - 2?\nAnswer: -8815622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1098568741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 9:26 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197 = -9*j + 12*j - 4*a + 21, 0 = 4*j - 8*a - 344 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - 14) + (-15 - -2) + (1 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (793\/(-1830))\/((-7)\/210).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 + 0*f**4 + 0*f**4 + (5*f**2 + f**2 - 2*f**2)*(-f**2 + f**2 + 3*f**2) + 6*f**4 - 5*f**4 - 3*f**4.\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 362547, 362550, 362553?\nAnswer: 362556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 5*x - 2. Let h be q(-2). Suppose 4 - 2 = a + 4*t, -h*a - t = -8. Solve 4*l = a*l - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 4:52 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 8747557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 2*h - 6*h - 30, -5*f = -4*h - 10. Let y be ((-8)\/(-6))\/(f\/18). Calculate the common denominator of ((-2)\/y)\/((-2)\/238) and 23\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34200000 rounded to the nearest 1000000?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**2*r**2 + 410419*g**2 - 4*g*r**2 + 759530*r**2 + 18*r wrt r?\nAnswer: -2*g**2 - 8*g + 1519060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*t + 614 + 5901 = -1781 for t.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 2)*(-f + 2*f - 2*f) + f + 0*f - 2*f)*(-2106882 + 2106882 - 1922*f**2 + (-f + f + f)*(5*f - 4*f + 2*f)).\nAnswer: 3838*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*u = -12, -7*y + 24 = -5*y - 5*u. Suppose -g = 3*g + 16, 12 = -y*l - 3*g. Solve t - 3*t - 6 = l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -11*w - 3. Let n = -140 - -144. Let t(i) = 14*i + 4. Let g(q) = n*b(q) + 3*t(q). Let z(y) = -72*y**2 + y. Calculate g(z(j)).\nAnswer: 144*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-2)*(-10)\/(-2). Suppose -j = 7*w - 2*w. What is the units digit of (-2 - w)\/(-3) - -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/7? (a) 1\/8 (b) -5 (c) 2\/13 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73336024 is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5125 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 587 + -588. Let f = -0.38 + 0.19. Is f >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven quarters of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/56224 and -41\/14056.\nAnswer: 56224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 124 - 96. Let f be (268\/(-10))\/((o\/105)\/(-4)). Suppose 8*j = 5*j + f. What is the remainder when j is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a - 61*a**2 - 5 + 30*a**2 + 38*a**2 to q*a + b + g*a**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 o when four letters picked without replacement from uooouuoouuuuuooor.\nAnswer: 28\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -221196*q**6 - 65726*q**2.\nAnswer: -26543520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1333.9 rounded to the nearest 10?\nAnswer: -1330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11\/6 - -25\/12. Let u = -56 + 227\/4. Factor -u*n - 1\/2 - x*n**2.\nAnswer: -(n + 1)*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1 - 5*a**3 - 7*a**3 - a**2 - 1 + 2*a. Let f(j) = -13*j**3 - j**2 + 3*j - 3. Let t(s) = 2*f(s) - 3*p(s). What is the third derivative of t(w) wrt w?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110 - 0?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 260942740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*s + 5*s - 10*s)*(6*s + 4*s - 3*s).\nAnswer: -154*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.17 + -0.07. Let g = 0.2 - q. Let v = 9 - 5. What is the closest to g in -5\/6, v, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/3 - 2)*-3. Let p be (r\/(-4))\/((-3)\/144). Suppose -h + 4*h - p = 0. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/28)\/(11\/(-242)*11).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*-2*(-5 + 6*(3*sqrt(2299) + sqrt(2299))))**2.\nAnswer: -15890988 + 31680*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 3*j. Let o be g(2). Differentiate 10 + 2*v**o - 20 - 6 with respect to v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -128*a**3 - 1 + 4 + 49*a**2 - 4 - 61*a**2 to u*a + z + o*a**2 + y*a**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1590)\/3975*((-405)\/6)\/9*3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 2*r + 86*r**3.\nAnswer: 86*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18695530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(5\/8)\/s*s)**(4\/5)*s**3\/(s**(-1\/4)\/s) assuming s is positive.\nAnswer: s**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1006484 to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 4*s - 21312. Suppose -16*i + 504 + s = 0. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4288 + -4288.59225. Let u = -0.59 - i. What is u rounded to four dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 94664*p - 1135926. Determine v(12).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9091 + -5\nAnswer: -9096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 186, 369, 552, 735, 918?\n\"Answer: 183*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3562, 4653, 5746, 6841, 7938, 9037?\n\"Answer: w**2 + 1088*w + 2473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 - 9658*s**3 + 748761*s**2 - 14571180*s.\nAnswer: s*(s - 9580)*(s - 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -197317 plus -2?\nAnswer: -197319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33338*o**3 + 2*o**2 + 7*o**2 + 33350*o**3 + 7*o**2 - 16*o**2.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s**2. Let a(b) be the first derivative of -8*b**3\/3 + 5*b - 3. Let n(p) = -33*p**2 + 21. Let y(j) = 21*a(j) - 5*n(j). What is m(y(i))?\nAnswer: 54*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 285811 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -166\/145 + 35382\/1015. Let s = -234\/7 + p. Which is the nearest to -1? (a) -0.08 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 6400 = 2*m. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4110 = -8*k + 7*k - 3*x, -3*k + 12265 = -4*x. What is the highest common factor of k and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4*q + 560008, -2*j + 140006 = -q + j. Let v be 30\/(((-4)\/q)\/1). What is v rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148039 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75907824, 75907813, 75907802, 75907791, 75907780, 75907769?\nAnswer: 75907758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5232 by -16.\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.66 + 7.66. What is the closest to i in 2, -1\/82, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 0 (c) -1 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6080?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0, -29, -0.3, -2887, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-5) + (-3)\/(135\/(-12)). What is the biggest value in p, -2\/5, 63\/5?\nAnswer: 63\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.013776 centuries in years?\nAnswer: 101.3776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w - 15. Let y be u(9). Suppose n - 2*n + l = -y, -2*n = -l - 21. Suppose -5*h + 103 = -17. What is the remainder when h is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1342901312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11473 is divided by 11039.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/8 - 7\/28. Let h = 4 - n. Let i = 31.7 - 32. What is the second biggest value in i, -2\/13, h?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11302151 (base 6) to base 10\nAnswer: -350419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66962 is divided by 4585.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(10\/(-4)*20\/(-100))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((-45)\/(-20) - 2). Let m = 24 + i. What is the greatest common divisor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 1. Let n be l(6). Is 295\/(-2)*6\/n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4765 and 21.\nAnswer: 100065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 136 - 138. Let v be 18 - (0 + -4 + 0). Is t greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*h**3\/5 - 19017*h**2 - 41865132*h\/5 - 6974881\/5 = 0. What is h?\nAnswer: -2641\/3, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -60.\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.5 or 6.4?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 37 + -3 + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1132 (base 5) to base 3.\nAnswer: 20012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5738\/22)\/1 + (-132)\/(-726). Let z = q + -257. Factor 2\/5*a**3 + 2*a**5 + 0*a - 4\/5*a**2 + 16\/5*a**z + 0.\nAnswer: 2*a**2*(a + 1)**2*(5*a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(252) - sqrt(252)*4*6) + sqrt(252)))\/((-5*sqrt(64) - sqrt(16))\/(1*sqrt(12)\/sqrt(3))).\nAnswer: 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 793 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.61931849 rounded to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3770659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9051 and 58185.\nAnswer: 407295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(2\/3)\/o)\/o)**22)**(-3\/17)\/((o**(-6)\/(o**(1\/2)*o))\/(o**(-3\/2)\/o**(3\/2))) assuming o is positive.\nAnswer: o**(329\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f - 12. Let i be l(-7). Suppose -i*a + 2*m + 4 = 0, -m = 4*m. Factor -5*c - 10 + 13*c - a*c**2 + 2.\nAnswer: -2*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**5\/60 - 5*z**4\/24 + z**3 - z**2. Let l(a) = 3*a + 1. Let i be l(1). Calculate x(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/9, -9.\nAnswer: -9, -2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.9 times 4727?\nAnswer: 60978.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1058 not equal to 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9793.\nAnswer: 7, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101919 is divided by 33954?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1478879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/6*1\/6. Factor -d*x**3 - 16\/9*x + 10\/9*x**2 + 8\/9.\nAnswer: -2*(x - 2)**2*(x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vm when two letters picked without replacement from {m: 4, v: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2\/5 - 4*o = 0 for o.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 + 760*y - 72200.\nAnswer: -2*(y - 190)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**3 + 2*i - 2*i**2 - 4*i - i**3. Let c = 35 + -31. Let u(o) = 5*o**3 + 3*o**2 + 2*o. Let z be ((-9)\/(-6))\/((-4)\/(-8)). Determine c*v(l) + z*u(l).\nAnswer: -l**3 + l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000545516 to 7 decimal places.\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66186 divided by -27.\nAnswer: -7354\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 0, 56\/11, 7\/416, -5, 1.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0313963 less than -0.3?\nAnswer: -0.3313963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -224.7374 + -0.2626. What is the third smallest value in 2, 0.2, 2\/7, 1, q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 818, 7, 11.6, 2 in decreasing order.\nAnswer: 818, 11.6, 7, 2, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljl when three letters picked without replacement from {j: 1, l: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 >= 235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 1\/80*b**5 + 1\/24*b**4 + b + 0*b**3 + 5 + 0*b**2. Solve p(i) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -5*p**4\/16 + 115*p**3\/12 + 125*p**2\/4 + 918. Find s, given that x(s) = 0.\nAnswer: -2, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 333 and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 14) to base 12\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16.4101968 + -16.41. Round r to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 699.568 + -699.5. Does j = 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + 27 - -2) + (39 - 34) + 3?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2888807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/241563?\nAnswer: -4\/241563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**2\/2 - 3*z - 91. What is s(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from svswwss.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -8*x + 1. Let g(q) = -17*q + 2. Let o(a) = -3*g(a) + 7*k(a). Give o(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwiwiwtft. What is prob of sequence tt?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -4. Let f(g) = -g**3 - 2*g**2 + 3*g. Let l be f(-3). Which is the second smallest value? (a) 1\/2 (b) y (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -137670 by -26.\nAnswer: 5295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-12)*11\/(167 - 13).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -54*g - 24. Let d(f) = 11*f + 5. Calculate -24*d(m) - 5*i(m).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16975, 18207, 19449, 20701, 21963?\n\"Answer: 5*s**2 + 1217*s + 15753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.127, 5, -0.016, -4 in ascending order.\nAnswer: -4, -0.127, -0.016, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-3\/14)*q**(-28)\/q)**(11\/3) assuming q is positive.\nAnswer: q**(-1375\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2076761, 2076766, 2076771, 2076776?\nAnswer: 2076781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 646 + -643. Sort -0.5, 0.5, -6, a in decreasing order.\nAnswer: a, 0.5, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzvgfefzwgfvfv. Give prob of picking 1 e, 2 f, and 1 z.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.654017 to two dps.\nAnswer: 52.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2059\/(-2485) - (-2)\/5.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 43, 27, 5?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, g: 3, m: 2, e: 4}. Give prob of sequence gm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b (base 16) to base 15.\nAnswer: 3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 11 = -4*y - w, 7 = y - 4*w. Let b = -163 - -168. Calculate the remainder when b is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13\/936*24*6*1. Which is the nearest to w? (a) 0.5 (b) -8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.47819 or 98\/3?\nAnswer: 98\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*o**2\/2 + 467*o\/2 + 1055.\nAnswer: (o + 5)*(9*o + 422)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27740145?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-377)\/261*3)\/(12\/(-180))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82\/7 - 916\/77. Let m = 11 + -7. Let n(r) = -r**2 + 4*r. Let o be n(m). Do u and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -6\/125, -26, 4?\nAnswer: -6\/125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6582287 is divided by 101?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**7\/14 + 3*w**5\/10 - w**3\/2 - 32*w + 10. Let b(z) be the first derivative of f(z). Let b(l) = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1038*d - 1216*d - 959850 = -1925*d + 11521*d for d.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(6\/5)*j)**(-2\/25) assuming j is positive.\nAnswer: j**(-32\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 21 = -116. Let r be 90\/20*5 - 10\/4. Solve 4*n = -4*i - r, i + 5*n + s = 2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75461753?\nAnswer: 75461753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**4\/5 + 8316*t**3\/5 + 4326396*t**2\/5 + 4318084*t\/5 = 0.\nAnswer: -1039, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/11 (b) -0.01 (c) 31 (d) -0.4 (e) 5 (f) -247\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 4\/7, -0.4 in descending order.\nAnswer: 3, 1, 4\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) -2\/9 (c) -286\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2. Let q(s) = -880*s - 1. Give q(o(x)).\nAnswer: -880*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1460*a + 2927 + 1696 = -1259*a for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 519, -5, 49.\nAnswer: -5, 49, 519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -14. Let q = 0 - 4. Sort v, 0.1, q in decreasing order.\nAnswer: v, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0113996468 to 4 dps.\nAnswer: -0.0114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1215, -36, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 27*c - 27. Let r(x) = -30 + 1 + 21 + 9 + 0. What is -54*r(m) - 2*z(m)?\nAnswer: -54*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(2816) + -5*sqrt(2816)*1)\/(4*sqrt(20)\/(-1*(-2*sqrt(5) - sqrt(5)))))**2.\nAnswer: 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-12))\/(434\/2604).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2. Let d(b) be the first derivative of 128*b**3\/3 + 270. Calculate d(j(n)).\nAnswer: 3200*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1516 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (13 + -7 - -8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/((-770)\/(-42)) - 27\/30*2. What is the second smallest value in -1, j, 2, 1\/6, -1\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -11. Let s be j - (0 + 3 + -14). Calculate the highest common factor of s and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (437291\/(-17544) + 25)\/(3\/(-12)) + (-4)\/(-12)?\nAnswer: 3\/86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441554.\nAnswer: 2, 23, 29, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 1*(2 + (7 - -4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11543)\/2619)\/(1\/(-3)) - 4\/18.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.8 + 3.4. What is the nearest to 0 in -0.2, 0.06, g?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1249533679 to the nearest integer?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/4)\/a**17*(a\/a**(-10\/7))**(-25) assuming a is positive.\nAnswer: a**(-2197\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(7\/5)*g*g*g)\/g)\/(g**(1\/3)*g)*g**19*g**9*g assuming g is positive.\nAnswer: g**(466\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.16+-77489993524\nAnswer: -77489993523.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 4*x**2 - x + 2. Let n be b(2). Suppose 0 = 5*p - 7 - n. Suppose -1 = t + p. Which is smaller: t or -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-237)\/(-4) + (-2)\/(-14)*(7095\/172 + -29).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-3) + 99*3. Let k be 33*24\/120*230\/6 + -8. What is the highest common divisor of k and h?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - 16 - (15 - (-12 + 31)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/175728 and -93\/5230.\nAnswer: 878640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 424, 3368, 11376, 26986, 52736?\n\"Answer: 423*l**3 - 6*l**2 + l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11190721 * 3\nAnswer: 33572163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1685437682.\nAnswer: 2, 842718841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from ngvvmgmnnvgomndmg?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f - 4 = 0. Let g(i) = -3*i**2 - 4*i - 4. Let u(b) = -3*b**2 - 5*b - 5. Let w(h) = f*u(h) - 5*g(h). Let q(a) = 5*a - a - 2*a. Determine q(w(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23.85 - 0.05. Let l = 24 + c. Let i = -1.9 + 1.7. What is the nearest to l in i, 4, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-640)\/(-45) + 6\/(-27). Let u(m) = -m**2 + 16*m + 17. Does 15 divide u(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 + 16*s**3 + 42*s**2 + 44*s + 16.\nAnswer: 2*(s + 1)**2*(s + 2)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 11 = h - 260, -5*y + 2*h = 624. Let f = y + 66. Let j be (51\/8)\/(f\/16). Which is greater: -2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*c**3*k**3 - 1038*c**3 - 326*c**2*k**4 + 4*c*k**2 wrt k.\nAnswer: 114*c**3 - 7824*c**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2 - 7 + y + (-2 + 2 + y)*(5 - 2 - 1).\nAnswer: 3*y - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1387768297.\nAnswer: 1387768297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-4)*-12 + (25 - 1). Suppose -t + 7 = 5*h - 2*t, -3*h = 5*t - v. Solve -1\/4*k**3 + 1\/4*k - 3\/4*k**h + 0 + 3\/4*k**4 = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102 - -100. Put -8, -5, t, -4 in decreasing order.\nAnswer: t, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (0 - (3 - 4) - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29 - 3?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*6*-5*-5)\/(-2*(sqrt(1200) + sqrt(1200)*6)))**2.\nAnswer: 3825\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**5\/60 - b**3\/6 - b**2. Find m such that r(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*q + 47*q = -93*q + 1350. What is the closest to -6 in -0.5, -0.2, q, 2\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8806.98 + 8586. Round j to zero decimal places.\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(18\/5)\/(t**7\/t))\/((t\/((t*t**(1\/6)*t)\/t))\/(((t**22*t)\/t)\/t)) assuming t is positive.\nAnswer: t**(563\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24178 and 59444?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331*o**2 - 47712 - 32*o**3 + 332*o**2 + 47712 - 663*o**2.\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*u - 20 = 2, -3*u = 9. Differentiate -50 - 7992*r**n - 102 + 7934*r**2 wrt r.\nAnswer: -116*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*f + 1164 = 62*f. What is the remainder when f is divided by 75?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (((sqrt(125) + -1 - sqrt(125)) + sqrt(125))*-4 + sqrt(125))**2)*-3*-5.\nAnswer: -1800*sqrt(5) + 17175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 10*h**3 - 6*h - 42. What is the hundreds digit of p(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 11 + -23 + 8 - -68\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/7, 1\/1249, -1.4, 0.3, -4\/9?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**1)**24*(n\/(n**(-2\/5)*n))**(1\/5) assuming n is positive.\nAnswer: n**(1202\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.98 * 1.51741.\nAnswer: 27.2830318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 - 162*m**3 - 1350*m**2 - 3942*m - 3888.\nAnswer: -2*(m + 3)**3*(m + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (10\/150*-12)\/(3\/15)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Suppose -4*w + 8 = 0, 5*o - s*w - 511 = -0*w. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2157793, -2157651, -2157509, -2157367, -2157225, -2157083?\nAnswer: -2156941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5033 - 6?\nAnswer: 502c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(0 - 3 + 1)*(-2 + 3 - 2)*(0*j + 2*j - j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 1311?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(15\/10)*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {o: 2, g: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 35. Let d(m) = 2*m - 33. Let v be d(i). Let z(h) = 2*h**2 + 3*h - 12. Is z(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -5*m - 24. Suppose m + 0 = 3*b. Suppose -i + 5*i - x = 0, -5*i = -3*x. Solve b*q - 11 = s - 0*s, i = -4*s + 4*q - 28 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2867965080 to the power of 1\/2, to the nearest integer?\nAnswer: 53553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 52?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 8*x = -4*h - 20, 4*x - 2*h - 10 = 0. Solve x = -k + 2 - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -2.7\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -204 + 234. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**4\/2 - 431044*j**3 - 2586246*j**2 = 0. Calculate j.\nAnswer: -862082, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 203.\nAnswer: -60.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 4617952.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -36*f - 4. Is l(-1) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.197 (b) 5.2 (c) -209 (d) 1.9 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45700076 divided by -4?\nAnswer: -11425019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -15 - (-21 + 15). Let i(k) = -k**2 + 5*k + 3. Let w be i(5). Suppose 2 = 2*j + j - r, j = w*r + 14. Put 2, j, g in increasing order.\nAnswer: g, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2467 = -5*j, 17*j + 467 = 18*j + 5*m. Calculate the remainder when j is divided by 453.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112350 (base 9) to base 4\nAnswer: -100130130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2072 times -2127\nAnswer: -4407144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 830.3, -3.2, 4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 31. Calculate the remainder when g is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7498*j - 24006.\nAnswer: -7498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -13*s**2 + 244*s**3 + 0*s + 3*s - 39 - 243*s**3 + 3. What is n(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 14*s - 874. Let u be 10\/35 - 166\/(-7). Let b = s + u. What is the greatest common factor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7472? (a) 0.2 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 117*a**3*w - 6202*a**3 - 104*a**2*w**3 + 5*a - w - 2 wrt w?\nAnswer: 117*a**3 - 312*a**2*w**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 minutes after 8:38 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22, 21, 18, 13, 6, -3, -14?\n\"Answer: -n**2 + 2*n + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*f + 2941, 3*f = 2*c + 52 + 1129. Let u be c\/(-4) - 2\/8. Let a be u\/(-54) - (-4)\/18. What is the closest to 2 in a, 0.5, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 11:28 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3354316259\/1584 + -2117624. Find the common denominator of y and 173\/720.\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1649750*d**3 - 9*d**2 + 51*d + 61 wrt d?\nAnswer: 9898500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10655, -10668, -10687, -10712, -10743, -10780, -10823?\nAnswer: -10872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1184 - 81?\nAnswer: -1275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.098 and 1.7399.\nAnswer: -0.1705102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -275 (base 11) in base 5?\nAnswer: -2244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.6 + -2. Let j be -9 + (-5)\/3 - -12. Let g(n) = -n**3 - 4*n**2 + 4*n - 4. Let m be g(-5). Which is the closest to 1? (a) o (b) m (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0128 + 0.3872. Sort j, -5, 12\/11 in ascending order.\nAnswer: -5, j, 12\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/3 - 24980*m\/3.\nAnswer: 2*m*(m - 12490)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7461, 59567, 200987, 476379, 930401, 1607711?\n\"Answer: 7443*w**3 - w**2 + 8*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.063, 15154 in descending order.\nAnswer: 15154, 0.3, -0.063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 24 = -r. Suppose 27*k - 32*k + 10 = 0. Let n = r - k. Solve n*u + 5 = 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.02598.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 8:23 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174715998 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 184310813?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 592353 and 1017288?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133 + 100?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-42) - 54\/(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*f - 3 + 5 - 37*f + 67*f to d*f + w and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 4*g**2 + 5*g**2)*(-1 + 5 - 2)*(-7*g + 2*g + g) - 12*g**3 - 13*g**3 + 6*g**3.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -j - 2*o - 2, -j - 5 = 2*o. Calculate the common denominator of -8 + 486\/63 + 670\/(-56) and (-85)\/(-6) + j + -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(-5)\/7*(-36)\/30.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 244 and 4453.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5222 - -5888. Calculate the remainder when f is divided by 115.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3398928 to the nearest integer?\nAnswer: 1844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1114 + -1113.9999903. Round x to 7 decimal places.\nAnswer: 0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-6) + (-9)\/27 - 3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9209*i**2*w**2 - 598*i**2*w + 43*i*w**2 - 2*i + 5*w**2 - 3985 wrt i?\nAnswer: -18418*w**2 - 1196*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oomiyfo. What is prob of picking 1 f, 1 m, and 1 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/90 and -137\/4698.\nAnswer: 23490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/12*(-44)\/(-550)*10.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 6*h**2 + 0 + h + 1\/6*h**3. What is the units digit of t(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -908.8 + 908.4. Which is the third biggest value? (a) h (b) -28\/17 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = d - 79. List the prime factors of d.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -3.9.\nAnswer: 23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 4*p - p + (4*p + p - 3*p)*(1 - 4 + 2) + (-2*p + p - p)*(0 + 1 + 1))*(4*p**2 + 1338 - 1338).\nAnswer: -36*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.591 - -0.291. What is the second biggest value in y, -1\/7, -6, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*n + 157*n + 2*x = -2, 2 = 3*n - 2*x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - (-151 + -6)*-24535. What is a rounded to the nearest one hundred thousand?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*r**2 + 23777*r - 23788*r + 157*r**2 - 488*r**2 + 167*r**2.\nAnswer: -6*r**2 - 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 + -276 - (-7 + -1 + -73)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from {b: 5, a: 15}?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0163059804 rounded to five decimal places?\nAnswer: -0.01631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/3 and -38\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5240457075 + -3?\nAnswer: -5240457100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from {v: 5, a: 1, y: 4, u: 3}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 + 84. Let q be w\/14 + 4\/14. Suppose -4*t - 4*p = -200, -5*t + 2*p + q*p = -270. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 3*s + 7, 27*x + 5*s = 32*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - f + 1. Let y(a) = -2*a**4 - 4*a**2 + 4*a - 3. Let u(q) = -12*j(q) - 4*y(q). What is the third derivative of u(o) wrt o?\nAnswer: 192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y**2 - y**2 + 0*y**2)*(3*y - y + 0*y) + 8*y - 8*y + 3*y**3 + (3*y - 3*y + 2*y)*(4*y**2 + 3*y**2 - 5*y**2) to r*y**3 + s*y**2 + i*y + m and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 4\/53 (c) 66 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 3*x + 2. Let i be a(-3). Suppose 3*d = -i*t - 3, 6*t - 3*t = d + 23. What is the remainder when 11 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1598464 is divided by 11583?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**7\/210 + t**6\/30 + t**5\/20 - 2*t**2 - 171*t. Solve b(q) = 0 for q.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**2 + 66*f + 2409. What is the tens digit of d(-43)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r. Let g(s) = -703*s**2. Calculate g(p(l)).\nAnswer: -703*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1\/((-6)\/48))\/(32\/(-48)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*g + 3*y + 9, -3*g + 2*y + 62 = 0. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 6:19 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(4 - (-56)\/(-24)). Suppose 2*a = 3*f - 0*f - 48, -4*a = f + 124. Does 19 divide (o - -2)*-1 - a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**4\/4 + 38085*v**3\/4 - 764285*v**2\/4 - 4465125*v\/4 + 4811310 = 0. What is v?\nAnswer: -7637, -7, 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 45 and 81.554.\nAnswer: 126.554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -1938994232201.\nAnswer: -1938994232188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 l when two letters picked without replacement from {l: 3, q: 1, a: 1, f: 1, o: 3, r: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, h: 2}. What is prob of picking 1 t and 2 h?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7128 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (65 - 5321\/68) + (-3)\/(-12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14976, -59924, -134846, -239748, -374636?\nAnswer: -539516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 28 = 12*n. Suppose 1 = 2*w - 5. Calculate the least common multiple of n and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41748 (base 12) in base 8?\nAnswer: 247350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/6)\/((-5)\/(-45)). Let i = 27 - z. Suppose -111*h = -289 - 790 - 253. What is the remainder when i is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -26174, -26173, -26172?\n\"Answer: a - 26175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -25?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 24*m**2 + 15*m - 31. Let l be h(24). Let q be ((-18)\/(-14) - 1) + (-94)\/l. Let u(i) be the first derivative of i**2\/2 + 3*i + 1. What is u(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9026507, -18053088, -27079669?\nAnswer: -36106250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11600 - 12386526126?\nAnswer: -12386537726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/2401 - -48089\/55223. Determine t so that -24\/23*t**2 - 6\/23*t**4 - 12\/23*t - j*t**3 - 2\/23 = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 13*q**2 + 17*q - 7. Is d(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**6 - 2*q**4 + 5*q**2 + 2*q + 2. Let f(w) = -w**4 + w + 1. Let c(l) = 4*f(l) - 2*i(l). What is the third derivative of c(p) wrt p?\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5563 = -3*v - 5593 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 5) to base 11\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g + 1. Let f(b) = b - 5. Let a(k) = -1. Let r(w) = -5*a(w) + f(w). Let i(p) = -3*p + 20. Let d be i(5). Calculate d*r(q) - v(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 70 = -1. Let d = 27 + g. Solve 5*u = 5*c - 1 - d, 3 = -c - 3*u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1951 + -1952.1. Suppose 3*t = 2*m - m + 11, 2*m + 5*t = 22. What is the nearest to m in -0.5, -2\/5, o, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 33 = -s. Let h be s\/(-22)*140\/(-6). Solve 21 = -4*u - 4*q - 19, -4*u - 3*q = h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136.3801 at most 24.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -32\/9761?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i = 19*i - 1828. What are the prime factors of i?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 12*y + 25*y = 952 for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/3 + 20471*o**2 - 314674752*o + 34844873728\/3.\nAnswer: -(o - 30688)**2*(o - 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: -2 + 1140\/494 + -62*(-1)\/(-117)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6980799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4*f + 4, 2*f + 2 = 3*f. Suppose 23 = u*d + 5. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 224*f + 219*f - 30, -20 = -3*l + f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*1)\/sqrt(6) + ((1*sqrt(2))**2 + sqrt(2))*-4*-4.\nAnswer: 19*sqrt(2) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 92.93484 hours?\nAnswer: 5576.0904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*i + 366*i + 4*x - 8 = 0, 4*i - x - 5 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11, -10, -5, 2, 1.\nAnswer: -10, -5, -1, 1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u + 30. Let g be j(9). Suppose -20 = -4*r + 2*f, -r + 5*f - 34 = -5*r. Let k = 6 + r. Solve k = b + g*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 2*u + 552, 0*n + 4*u - 558 = -2*n. List the prime factors of n.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013241 rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 18?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-6) - (-10)\/(-15))*-23. What is the greatest common divisor of 7751 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(209) + (sqrt(209) - sqrt(209)*-2))*-3 + sqrt(209) + sqrt(209)))\/((sqrt(121)*1*1)\/sqrt(11)))**2.\nAnswer: 47500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753892595?\nAnswer: 5, 61, 199, 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 + 13 + (-92 - 39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1943 = 42*g + 1781 + 308 for g.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2204520 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 7*y + 4. Let x(a) = 2*a + 4. Let t be x(-5). Let w be m(t). Let i be ((-24)\/30)\/((-4)\/w). Solve f + 13 - 1 = 3*l, 0 = i*f + 3*l - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 11. Suppose -3*f = 2*f - 25. Let j(k) = k**2 - 2*k - 7. Calculate the least common multiple of x(5) and j(f).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3845*b + 3846*b - 1 + 7 - 3.\nAnswer: b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(1\/(-4)*100\/10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 0.2, 0.5, 10738 in descending order.\nAnswer: 10738, 0.5, 0.2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48 - (20 + -41))\/1?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*(z*z**(2\/23))\/z)*z))\/(z*z*z**(-3\/7))*(z**(3\/8))**14 assuming z is positive.\nAnswer: z**(2425\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13328 and 6768.\nAnswer: 5637744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21*(-2 - -4)*(-3)\/(3\/(-35)) and 48.\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 688.8585ml to litres.\nAnswer: 0.6888585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 72 = -5*c. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2 - 64*w. Let y(l) = -2*l**2 - 63*l. Determine -6*x(o) + 5*y(o).\nAnswer: 2*o**2 + 69*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -144 - -139. Let z(g) = -3*g - 1. Let q be z(1). Sort 2, q, a.\nAnswer: a, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2300, 5254, 8860, 13118?\nAnswer: 18028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04579044 rounded to 3 dps?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z. Let p be y(0). Suppose -4 = -4*l - p. Calculate the common denominator of (316\/40)\/l + -1 and 31\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 37*p**2 - 6*p + 6. Let c(g) = 961*g**2 - 155*g + 155. Calculate 6*c(u) - 155*z(u).\nAnswer: 31*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 5*t**2 - 19*t - 37. Determine y(-8).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0. Is 10 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 2. Let f = 2.5 - -0.5. Which is the nearest to m? (a) -0.3 (b) f (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009334276568 rounded to 7 dps?\nAnswer: 0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 54 (b) 1355 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355516.\nAnswer: 2, 7, 12697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 2. Let l(w) = -2*w**2 + w**3 + 6*w + 2*w**2 + 6*w**d + 3. What is the units digit of l(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 31 + 123. Suppose 0 = -s + 14 + a. Let q be 4\/14 - s\/7. Which is smaller: -2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**4\/3 - 2*r + 9. Let c(s) = 5*s**2. Calculate c(z(b)).\nAnswer: 80*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8060 is divided by 85?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/20*(-1)\/((-6)\/8)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 416 and 156364?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4 + 148*d - 3 - 150*d + 4. Give l(13).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**3 - 7*r**2 - 6*r - 3. Let h be -3 - -1 - (1 + -1). Let g be m(h). Solve -4*v - g = -9*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9)\/(-5) - 2 - ((-1962752)\/80)\/17?\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o - 10. Let l(q) = 1. Give 4*l(x) + s(x).\nAnswer: 3*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-4))\/(9\/(-18)))\/(39\/(429\/(-253))).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 3.09?\nAnswer: -0.927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36170, -36165, -36158, -36149, -36138, -36125?\nAnswer: -36110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13993?\nAnswer: 7, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from {c: 5, b: 1, i: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1250641 is divided by 631?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - 4*a + 11, -26 = 265*z - 263*z - 4*a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a - 3?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 minutes before 10:25 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 5*h - 60 = 0. Let i(m) = -m**2 + 14*m - 15. Let r be i(h). Find the second derivative of 9*k**4 - 5*k**5 - r*k**4 + 0*k**5 + 12*k wrt k.\nAnswer: -100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25.802, 0, 4\/7, 0.3 in decreasing order.\nAnswer: 4\/7, 0.3, 0, -25.802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -51, -72, -107, -156, -219, -296?\n\"Answer: -7*w**2 - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6776*u - 20333. What is y(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 m, and 1 r when four letters picked without replacement from {l: 6, r: 2, m: 5}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 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: In base 3, what is 200001202000012 - -11?\nAnswer: 200001202000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o**4\/2 + 3777*o**3\/2 + 34430049*o**2\/2 - 36527820777*o\/2 - 7830551961 = 0. Calculate o.\nAnswer: -2406, -3\/7, 1473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 162884*s**3 + 6*s**2 + 952*s + 8 wrt s.\nAnswer: 977304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36327958 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36583?\nAnswer: 36583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -706.54?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172.8825 litres to millilitres.\nAnswer: 172882.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -63, -80, -97, -114?\n\"Answer: -17*d - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*z, 2*z + 8*p = 4*p. Let r = 13 - 8. Factor 18\/11*h**3 + 4\/11*h**r + 2\/11*h + z - 14\/11*h**4 - 10\/11*h**2.\nAnswer: 2*h*(h - 1)**3*(2*h - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**3*r)\/r**2*(r**(2\/3)*r)**(-9\/8)*((r\/(r\/((((r*r*r**9*r)\/r)\/r)\/r)))\/((r\/r**7)\/r))**49 assuming r is positive.\nAnswer: r**(6281\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 7\/12*l**4 + 0 + 1\/20*l**5 - 2*l + 4*l**2 - 7\/6*l**3. Let q be c(-8). Is 4\/3 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.1. Let f = -2.8 - -3. Let n = -24457 - -24457. What is the third biggest value in z, f, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b + 6. Let c(y) = y**3 - 5*y**2 - y + 6. Let d be c(5). Let q(h) = -2*h + 0 - d - 4. What is 4*a(z) + 5*q(z)?\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49093539 is divided by 433?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**5\/10 + 35*u**4\/18 + 16*u**3\/9 - 5*u**2 + 5*u. Solve r(t) = 0 for t.\nAnswer: -2\/9, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3764.348161 less than 8?\nAnswer: 3772.348161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 1:20 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 13040 in increasing order.\nAnswer: -3, 0, 13040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 81\/22504 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19428, 22078, 24728, 27378?\nAnswer: 30028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -4 (c) -2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/(-48))\/((-2)\/(-24)). Let v(j) = j**3 - j**2 - 10*j + 2. Let h be v(n). Let k = h + 64. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32272 = 198*b - 6338. Calculate the remainder when b is divided by 127.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r - 25. Let h(q) be the second derivative of -q**5\/20 - 9*q**2\/2 - 3*q. Let n be h(-3). What is the remainder when 41 is divided by v(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0323 * -32.98\nAnswer: 1.065254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (7 - (1 + -4)) + -10 + 3\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**3 + 3 - z**3 + 2*z**3 to the form s + c*z + p*z**2 + a*z**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16431047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -209, -1575, -5279, -12491, -24381, -42119?\nAnswer: -66875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**3 - 4 - 1 + 5*p - 4*p**2 - 3*p + 6. Let f be s(2). What is the greatest common divisor of 40 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16568702013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 518*x + 12*x**2 - 257*x - 13*x**2 - 253*x + 5*x**2.\nAnswer: 4*x**2 + 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79424 = 3*u + d, 0 = -5*u - 5*d + 173521 - 41131. What are the prime factors of u?\nAnswer: 23, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 340 + 255 = 25*j - 7*j for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 967 = 5*b, -4*b + 2*v + 312 + 458 = 0. Let x(q) = 2*q**3 - 8*q**2 + 4*q - 4. Calculate the remainder when b is divided by x(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5829152*p**2*s**2 - 2*p**2*s + 4*p*s - 2613062*p - 2*s - 3 wrt s.\nAnswer: 11658304*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 196b (base 13) in base 10?\nAnswer: 3807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 28 = -4*z, 0 = 342*f - 346*f - z - 14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 3*f - 3 - 22 = 0, -3*f - 10 = 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4436113, 8872229, 13308345?\n\"Answer: 4436116*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n = 0. Suppose -30 = -2*i - n*i. Is 5298\/15 - 3\/i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 8:19 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 657743 to the power of 1\/2, to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 + -4 + (5 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 f when three letters picked without replacement from {a: 3, q: 1, f: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 36*t - 279. What is n(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 0*t - 5*t**2 + 0*t. Let r(y) be the second derivative of -y**4 + y**3\/6 - 2451*y + 5. What is r(h(c))?\nAnswer: -300*c**4 - 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 15 = 0, 10 = -3*c - c - 2*f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-17748)\/9860)\/((-3)\/5))\/(3\/79).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -4690, -95, 3 in decreasing order.\nAnswer: 3, -4, -95, -4690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*n**5 + n**3 + 11*n**3 - 386*n**2 + 437*n**2 wrt n?\nAnswer: 240*n**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 40. Suppose -w*i + 14*i = -120. Let g be (50\/i)\/(2\/12). Solve 3*c - 9 = -4*q, g*q - c + 2*c - 14 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.5, -5, -0.5, -16?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-12))\/(2\/(-3)). What is the third smallest value in 2, n, -3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.1068 to 0 dps.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6062?\nAnswer: 2, 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*d - 10 = -5*f, 2*f - 8 = 2*d. Suppose q = -f*q + 12. Solve 0*p + q*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 633638, 2534535, 5702692, 10138103, 15840762, 22810663, 31047800, 40552167?\n\"Answer: -i**3 + 633636*i**2 - 4*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -974093 or -2\/205?\nAnswer: -2\/205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 4. Let g be t(5). Let r be 0\/(0 - (g - 3)). Suppose -d - 7 = -l, r*d - 2*l + 12 = -d. Let w(u) = u. Calculate w(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 3*g - 2*g)*(12 + 7 - 10*g - 17).\nAnswer: 20*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q + 1. Let t = -69 + 73. Suppose 0 = -t*f - 0*f - 4. Let a(s) = 1. What is f*j(p) + 4*a(p)?\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/12 and -41\/1376?\nAnswer: 4128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**14\/((t\/(t**(-8\/7)*t))\/t)*t*(t*(t*t**(-9))\/t)\/t*(t*t\/(t*t\/(t*t**1)))\/t assuming t is positive.\nAnswer: t**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 32*q + 4. Let x be w(5). Let g = 23 + -16. Does 6 divide 2\/g + x\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4931.\nAnswer: 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2b (base 14) to base 13\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5953, -5950, -5947, -5944?\n\"Answer: 3*y - 5956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 39\/52*1\/(-3)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {y: 10, h: 10}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, -122\/7, 2\/13?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -11 - -12 - 9703\/(-7). Let z = -1390 + a. Find the common denominator of -113\/10 and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 2183439?\nAnswer: -2183439.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*(-2)\/(-20) + 1196\/10. Let r = 340 - p. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -33248, -66505, -99762, -133019, -166276?\n\"Answer: -33257*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 + -91. Is k at most as big as -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27670 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -3*l**2 + 7*l - 603. Determine r(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12599 = 5*m + 184. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 47. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 48*z - 354. Calculate d(36).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 1 = 0, 232*g - v + 2 = 227*g - 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) -2 (c) 4 (d) -6.1 (e) 2740 (f) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2133, -2665, -3591, -4935, -6721, -8973?\nAnswer: -11715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -7*x + 4*b - 14, -4*x + 3*b = 11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -990210 divided by -12695.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w + 6 = 29*w. Suppose -3*x + w*r + 3 = -0*r, 4*r = -3*x + 21. Let v = 0 + 3. What is the remainder when v is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6072 or 6068?\nAnswer: 6068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -205*c - 2*c**2 + 626*c - 246*c - 220*c - 4514 + 25*c**2 wrt c.\nAnswer: 46*c - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1449 + -1444. Suppose -o*l - 40 = -5*f, 2*f - 3*f + 2 = l. Let t(d) be the third derivative of -d**4\/24 - d**3\/6 + d**2. Calculate t(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -10*n**2 + 164*n - 261. Give x(15).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15631\/39040 + 3\/7808. Which is the nearest to 2\/11? (a) 2.21 (b) i (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 7*o**2 + 5*o + 9. Let r be q(6). Suppose 4095 = r*n - 4020. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 1.5. Let t = -1.1 - p. Which is the closest to 0? (a) t (b) -7\/4 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (87\/870)\/(-3 + 14\/4)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1950583797 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -94848400 rounded to the nearest 1000000?\nAnswer: -95000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3)\/((u*u**(1\/6)\/u*u*u)\/u))\/(u*(u\/u**2)\/u)**(-7))**14 assuming u is positive.\nAnswer: u**(-329\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 448803 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.4622375 rounded to zero decimal places?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*w - 244 = -52*w - 889 for w.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 40 = -3*g, -1 = -2*g + 5*z + 18. Let k be (-2)\/(-10) + (-14)\/(-5). Suppose 5*b + g = k*r, 0 = r - b - 0*b - 6. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7250 and 1119400.\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 229870 and 22987?\nAnswer: 229870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-35)\/(-21)*((-1925)\/(-4125))\/(1\/(-1)).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19203 - 172825\/9. Factor 2 + 2\/3*t - 10\/9*t**2 + d*t**3.\nAnswer: 2*(t - 3)**2*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46071 - 46082. Let i be 1 - 0 - 2*-1. Which is the smallest value? (a) i (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 + 170444.6?\nAnswer: 170445.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 + 118?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a second in milliseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -1302?\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -490*x**3 - 16*x**3 + 69*x**3.\nAnswer: -437*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 9260?\nAnswer: 111120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-96) + (-49)\/12. Let x(y) = 12*y**2 + 13*y - 19. Is x(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 r when three letters picked without replacement from ddjrjrrdrddrdd.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(14) + sqrt(224) - sqrt(14)) + -1*-2*sqrt(14))\/(sqrt(8)\/(sqrt(16)\/sqrt(4)) + sqrt(14)\/(sqrt(35)\/sqrt(5))).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 149*r**2*v**4 - 63*r**2*v**2 + 2*r**2 - 6998*r*v**4 - 163*r*v - 69*r + 14*v**3 - 2 wrt v.\nAnswer: 3576*r**2*v - 167952*r*v + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 0. Let a(h) = -4425*h + 1 + 4426*h + 0. Give a(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186 (base 9) to base 6.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/27 + 1\/3. Is 11 a factor of (-32 + 2 + d)*(-14 - -10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3850, 3889, 3928?\n\"Answer: 39*r + 3811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g**2 + 2*g = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -551 + 686.5. Let f = 12.5 - m. Let c = -122.99999839 - f. What is c rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c**2 + 5803*c + 132940 = 0. Calculate c.\nAnswer: -5780, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114816*h**5 - 2*h**3 + 3*h**2 + 12549*h.\nAnswer: 6888960*h**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 0 - 1\/3*w**3 - 23\/2*w**2 - w. Let d be b(-17). What is the highest common factor of 22 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*n + n - 2*o, -24 = -5*n + 2*o. Suppose -n*y = -3 - 9. Suppose -4*c - 2*c = -y*c. Solve 4*x + 1 + 3 = c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 2*l**2 + 2*l - 3. Let x(t) = 3*t**3 + 7*t**2 + 7*t - 9. Let o be (-10)\/(-12) - (-306)\/(-108). Determine o*x(c) + 7*p(c).\nAnswer: c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 54826016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by -12?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 5*y - 14, 2*w + 16*y = 13*y - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/17 (b) 5 (c) 1\/9 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 4*j**2 + 6*j**2 - j**2.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (502\/8)\/((-5)\/(-20)). Let v = 202 + d. Suppose v = -5*u + 2108. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/7, -0.3, 0.1, -14\/11, 5?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, -4, 0, 10 in ascending order.\nAnswer: -4, -1, 0, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16015065 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5649 + 1?\nAnswer: -5648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - t = -1, -2*c - 2*t + 13 = 3. Solve -b = -2*i + 8, 2*b = c*i + 3*i - 21 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 796 + -796. Suppose o = -12*j + 1424 + 7048. What are the prime factors of j?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 256*s**5 - 192*s**4 - 220*s**3 + 192*s**2 - 36*s = 0.\nAnswer: -1, 0, 3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -28. Solve 0 = -v*b + 2 + 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105266 - 11920350?\nAnswer: -12025616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.48 + 0.69. Let r = -0.59 - h. Let p = 0.8 + -0.5. Which is the biggest value? (a) p (b) r (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 667778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.5 in 15, 3, -13, -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/55 + 117\/(-198))*-1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 66568 divided by 4\nAnswer: 16642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.09 + 0.19. Let o = 9.71 + 0.29. Is o not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206.2 + 0.1788647783.\nAnswer: 206.3788647783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4))**(2\/45)\/(z*z*z**3*z*z**(-2\/3)) assuming z is positive.\nAnswer: z**(-479\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1549, -1697, -1837, -1969, -2093?\nAnswer: -2209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - z. Let f(y) = -2*y + y**2 + y**2 + 0*y. Let a be -2*(3 - 10\/4). Let c(p) = a*f(p) + 3*o(p). What is the second derivative of c(s) wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 6*y**2 + 2*y**2)*(-4 + 2 - 10).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from {y: 1, g: 4, k: 3, s: 6, i: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 5.4, 5\/2, -100, -2, -1, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1435 and 88232?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**3 + 33*t**2 - 16*t + 31. Let b = 9 + -26. Let d be i(b). Solve 3*c + n = -0*c + d, -3*c + n + 16 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.24 * -20.\nAnswer: -44.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/28 + ((-175)\/(-20))\/(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.006 - 0.306. Let b = -396 - -395. What is the closest to b in -1, t, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*h + 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 158787790 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**5\/2 + 11*y**4\/12 - 7*y**3\/6 - 9*y**2 + 3*y + 35. Suppose 6*v - 63 = 21. Let t be m(v). Round t to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -4, 9, -1 in decreasing order.\nAnswer: 9, 1, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**6\/40 + u**5\/10 + u**4\/8 - u**3\/3 - 3*u**2\/8 - 2*u. Suppose q(f) = 0. Calculate f.\nAnswer: -1, -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288055 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 53*i**2 - 3*i + 28. What is the tens digit of d(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -x + 12. Solve -x = -4*m - 5*y, -7 = -4*m + 3*y + 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*b**2 - 12*b**2 - 12*b**2 - 5*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-16 + -1 + 18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 26\/117 - (-1256)\/18. Let h = 72 - p. Solve -3*v - h = 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuouuoooooo. Give prob of picking 2 o.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1074 + 1074. Solve -5*o - 2*m - 25 = k, 0*o + 3*o + 15 = -m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000069914 to 6 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 15*x - 13. Let i be d(-10). Suppose -w - 29 = 2*p + i, 0 = 2*w. Calculate the common denominator of p and (-3)\/(-12) + 191\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164646 divided by -9\nAnswer: 18294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -90*b**3\/7 - 2444*b**2\/7 + 5158*b\/7 - 2624\/7.\nAnswer: -2*(b - 1)**2*(45*b + 1312)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 8:13 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -237 divided by 237?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (-8808)\/(-8) + 8 + -10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98818.92mm in centimeters?\nAnswer: 9881.892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3144\/655*(-1 + 14\/4). Let q(v) = 0*v + 228 - 225 - f*v. Let s(a) = -5*a + 4. Let z(r) = r - 1. Let x(h) = s(h) + 4*z(h). Determine q(x(d)).\nAnswer: 12*d + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, b: 4, i: 1, u: 1}. Give prob of picking 1 b and 1 v.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1201574 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -89, -111, -149, -209, -297, -419?\nAnswer: -581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 883926?\nAnswer: 883926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -66705\/7, -0.02?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: (-1826)\/4233 + (-12)\/51\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -3796.42283?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.17 (c) -1\/37 (d) -0.2 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*x**5 + 1559023*x**4 + 3*x + 4704801 wrt x?\nAnswer: -240*x**3 + 18708276*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -158.9338 + 159. Let x = p - 0.057. Round x to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2680 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14612581 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20279*v + 19887*v - 9800 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3399 a factor of 132140268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-15) + 4*121\/(-30). Let z = 98 - g. Is 19 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 414 (base 5) to base 3.\nAnswer: 11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 279195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(99)*-3)\/sqrt(9) + -5 + -3 + (4 + 5 + sqrt(33)\/sqrt(3))**2.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5063 and 108262129?\nAnswer: 5063","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1946537901 to the nearest integer?\nAnswer: 1249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrg when three letters picked without replacement from {g: 1, r: 4, l: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -78561 divided by -2709?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6630202.234 and -51.\nAnswer: -6630253.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -167\/1960 - -1\/98. Is 1 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 67466 at least 67464?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a**3 + 8*a**2 + 8*a + 11. Let y be r(8). Calculate the common denominator of (1273\/(-760))\/((-3)\/(-12)) and (y\/66)\/7 - -3.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21aa3 + -198?\nAnswer: 21906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 2:56 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.5167 + 7.3167. Let u = 0.03 - 0.13. What is the closest to u in -1\/3, z, -4\/3, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.3 + 2.6. Suppose 2 = -2*o + 3*o. Let d be (1\/o)\/((-2)\/6). Sort -0.4, x, d in increasing order.\nAnswer: d, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 1317.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 313 and 140?\nAnswer: 43820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -168805800 to the nearest one hundred thousand.\nAnswer: -168800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-3)*122756\/(-64). Let o = 2553 + k. Calculate the common denominator of (-15 - -13) + (-131)\/6 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -74362*n**3 - 50*n**2 + 109*n wrt n?\nAnswer: -446172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-6))\/(4\/(-6774)). Let w = -31573\/14 + n. Let t = -16\/387 + 16447\/1548. Find the common denominator of t and w.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 185*u**2 - 2*u - 3*u**3 - 185*u**2 to v + j*u + g*u**2 + d*u**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -13.3. Let s = -0.2 - y. Is 0.1 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 21677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/3)\/(42\/(-9)). Let i = s + 0. Let o = -41\/2 - -22. Put i, -3\/7, o in ascending order.\nAnswer: -3\/7, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211122 + -1?\nAnswer: -211200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16945896 to the nearest integer?\nAnswer: 4117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/9 of a hour?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9393, 9106, 8781, 8400, 7945, 7398, 6741, 5956?\n\"Answer: -3*a**3 - a**2 - 263*a + 9660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/336409 or 1?\nAnswer: 16\/336409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 7*s**2 - 6*s. Let v be o(4). Suppose -7*k + 6 = -4*k. Suppose 2*t - 16 = -2*j - k*j, 5*j - v = -3*t. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15316503 (base 8) to base 10.\nAnswer: 3513667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 98464 + 180794 = 0. Is d >= 19946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -240 + -21?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13001113 (base 6) in base 16?\nAnswer: 66945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 111143940 divided by 22228788?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181986567.\nAnswer: 3, 7, 8666027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606767710?\nAnswer: 2, 5, 4231, 14341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*sqrt(28)*-1*3)**2.\nAnswer: 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u. Let z(l) be the second derivative of -179*l**4\/12 - 3*l**2\/2 + l + 9. What is m(z(c))?\nAnswer: 358*c**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(20))\/(sqrt(588)*-4)*-6.\nAnswer: 3*sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10121 (base 3) in base 2?\nAnswer: -1100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 87293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 10.9. Which is the nearest to -1? (a) s (b) 2\/11 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**3 - 10*b**2 + b + 3. Let w be k(-8). Let s = w - 5683\/15. Factor -4\/15 + 4\/15*i**2 - 2\/15*i**3 + s*i.\nAnswer: -2*(i - 2)*(i - 1)*(i + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*l + 3*m, 3*l + 3*m + 2 = -m. Let j be 5\/((l - -3) + 0). Suppose -5*t - j*r = -80, -t + 2*r + 101 = 4*t. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.16 in -48, -0.1, -3, -0.06, 0.026, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/19 + 370*m\/19 + 29400\/19.\nAnswer: -2*(m - 245)*(m + 60)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, m: 1, s: 2, x: 1, n: 1, a: 2}. Give prob of sequence wwnm.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4977 divided by 237\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10345 + -10344.92999. Let o = 0.07 - k. Round o to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -70, -140, -208, -274, -338, -400?\n\"Answer: f**2 - 73*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 greater than -1294\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + -6)\/(48\/(-216) + 46\/(-9)). Let j(k) be the third derivative of 7*k**2 + l*k**4 + 0*k + 1\/40*k**5 + 0 - 5\/2*k**3. Factor j(c).\nAnswer: 3*(c - 2)*(c + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.103 + -1.897. Let c = 950 - 924. Put c, r, 0.1 in increasing order.\nAnswer: r, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68901 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5197 - 11590564521\nAnswer: -11590569718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180036867.\nAnswer: 3, 60012289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -965, -764, -577, -410, -269?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 11*s**3 + 5*s**2 - 5*s. Let q(u) = -5*u**3 + 6*u**3 - 3*u + 3*u**2 + 5*u**3. Let w = -6 + 5. Let p = w - 2. Give p*x(i) + 5*q(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -515 + 509. Let y be l*-4*7\/(-56). What is the nearest to 0 in y, 0.2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47948*z - 1550 - 21806*z - 25*z**2 - 22257*z = 0. Calculate z.\nAnswer: 2\/5, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2028 = 4*y + 8*g, -y - 4*g + 2028 = 3*y. Calculate the remainder when y is divided by 102.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36510 (base 7) to base 12\nAnswer: 5609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 + 61.1. Sort 0.2, p, -1\/4 in descending order.\nAnswer: 0.2, p, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = 6*g. Suppose g = -j + a + 352, 0 = 3*j - 2*a - 3*a - 1052. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100999 is divided by 1207?\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**2 + 2*x + 1. Let p be k(-1). Suppose 3*s - 375 = -p*u, 4*s + 0*u - 524 = 2*u. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - r**2)*(r**3 - 4*r**3 + r**3) - 42*r**5 - 27*r**5 + 7*r**5 - 3*r**5 + 4*r**5 + 0*r**5 + (-1 + 1 - 2*r**4)*(3*r - 3*r + 2*r).\nAnswer: -63*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + -6)*(-2 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zelehhcerzelcc. What is prob of picking 1 c and 1 e?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3396926*q**2. Let i(c) = -9*c**2. What is b(i(j))?\nAnswer: 275151006*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 106 and 17508.\nAnswer: 927924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + (30 + 0)\/(-5) - -7971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (13\/(-2) + 6)*(-146 + 0). Let q = g - 68. Let j be 1 + -2 + q + -4. Solve -4*r + 35 - 15 = j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/18)\/((-2)\/(-4)) - 1. Suppose p = 10*g - 36 - 34. Suppose 3*w - 118 + g = 0. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 170 and 2686?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 11*q - 31 + 142 + 311 to the form g + b*q and give g.\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37\/259)\/(8\/(-14)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -748 * -0.179\nAnswer: 133.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d + 2. Let i be c(1). Let m(o) = -2*o + 31. Let q be m(13). Solve -i*a + 24 = 4*x, -a + q = 4*a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(208) - (3*sqrt(208) + sqrt(208))) + -5 - sqrt(208)) + -4*(sqrt(208) + 1*sqrt(208) + sqrt(208)))**2 + 0.\nAnswer: 640*sqrt(13) + 53273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + 1762?\nAnswer: 1770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21761296 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: Express (9 - 13 + 8)*(p - 2 + 2)*(3*p**2 - 4*p**2 + 0*p**2) in the form g + u*p + i*p**3 + q*p**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3216096 divided by -6?\nAnswer: 536016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -143 + 129. Let n(y) = 65*y - 22. Let s be n(f). Let t = s - -1839. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -48, -0.4, 98, 2\/63 in descending order.\nAnswer: 98, 4\/9, 2\/63, -0.4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 354 and 472?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-21))\/((-3)\/(-9)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 7*d**2 - 8*d - 15. Let f be m(6). Is f less than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6*i**2. Let s(z) = 3*z**2. Suppose -4*b + 10*b = -30. Let x(n) = b*s(n) - 3*k(n). Let c(r) = -4*r. What is x(c(w))?\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8587\/30 + 859\/3. Let v(l) be the third derivative of -5*l**2 + 0*l**4 + 0 + 0*l + m*l**5 + 11\/6*l**3. Differentiate v(f) wrt f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 656 and 779.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 2:17 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*g**2 + 1822*g - 182529.\nAnswer: 12*g + 1822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((-10)\/25)*1. Let s be 20*((-710)\/(-8))\/c. List the prime factors of ((-2)\/5)\/(1064\/s + -3).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -1\/8, 5, -0.5, 21\/22.\nAnswer: -0.5, -1\/8, 21\/22, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5743 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**4\/72 - 7*n**3\/18 + 7*n - 1. Factor u(a).\nAnswer: a*(a - 14)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 738*z. Let v(h) = -193070 + 5*h + 193070. What is v(a(o))?\nAnswer: -5*o**2 - 3690*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1.5. Let j = -21204 + 21203.93. Which is the nearest to -2? (a) p (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 0*a**3 + 0*a**4 - 19*a + 2*a**2 + 0 - 1\/60*a**5. Let c(j) = -53*j**2 + 2. Calculate c(f(p)).\nAnswer: -53*p**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 6 = -2*m, 0 = -5*m - 8*p + 12*p + 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30594277?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-15)*6*9\/((-126)\/280)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 243 = 261 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -91943*a - 8826523. What is l(-96)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 25 = -5*p. Let g(m) = 12*m**p + 2 + 14 - m**3 - 1 + 12*m. Let o be g(13). Solve o*l = -l - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 0 + 0)*(0 - 2 + 0) - 4*p + p + 0*p + 2*p + 2 - 2.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**6 + 1795*q**3 + 69*q**2 + 8.\nAnswer: -120*q**3 + 10770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 8:21 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 48 - 1 - (-35 - -64)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103 - 166?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -593\/7 + 85. Suppose -7*y + 113 = 212 - 120. Which is the nearest to t? (a) -0.1 (b) y (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -8. Let p(f) = -5*f + 77. Let s be p(15). Let c be (s\/(-6))\/((-20)\/120). Solve -3*q = c*x + 4, -3*q + 1 = -x - u*q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 165*v**3 + 325*v**3 - 2*v - 141*v**3.\nAnswer: 19*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 6:12 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25937, -25940, -25945, -25952, -25961, -25972?\n\"Answer: -a**2 - 25936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 + 1340*l - 2700.\nAnswer: 5*(l - 2)*(l + 270)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in months?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49049821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -66393 + 1010?\nAnswer: -65383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovo when three letters picked without replacement from oooovv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -35394*o + 4 + 35120*o - 4. Let f(l) = 14*l**2. Give f(i(a)).\nAnswer: 1051064*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1314 - -10?\nAnswer: -1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -7 - ((4 - 3) + (9 - 7))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q - 17*q = -25*q - 646868. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 30604298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000015762006 to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 864951925 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 9:04 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2204505814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 542187881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3758 = 867*v - 35257 for v.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (226 - 230)*(3\/4428*4)\/((-24)\/(-108))\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2 - 1 - 312*n**4 - 60 - 26 + n**2 - n**6 + n - 7*n**2 wrt n.\nAnswer: -120*n**3 - 7488*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -20, -k + 472 = -3*v + 5930. Round k to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 17 = -3*g, 2*g - 6*x - 29 = -23 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176577881 to the power of 1\/2, to the nearest integer?\nAnswer: 34301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 e when four letters picked without replacement from ewzhlwzeezeyezzwe?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1. Let a(l) = l**2 + 5*l - 3. Suppose -18 = -15*y + 17*y + 4*k, 4*k + 14 = 2*y. Determine y*a(h) + 3*c(h).\nAnswer: -h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3543.9856 rounded to the nearest ten?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 162, 326, 496, 672, 854, 1042?\n\"Answer: 3*b**2 + 155*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 463528.108 + 265?\nAnswer: 463793.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*r - 37215, 17*j + r = 21*j + 37203. Is 31 a factor of (1\/(-2))\/(9310\/j + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3230 (base 15) to base 16.\nAnswer: -297c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27 - -1614?\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -u - 9. Put u, -16, 1, -2 in decreasing order.\nAnswer: u, 1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5 + sqrt(9)\/sqrt(3) + sqrt(3) - sqrt(3))**2.\nAnswer: 10*sqrt(3) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, -0.5, 11\/317, -0.3, -0.06, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 137 = -3*t. What is the least common multiple of t and 65?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -26*q - 36. What are the prime factors of g(-16)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4716 and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2857.\nAnswer: 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 501016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28962*p**3 - 13396*p**3 - 13076*p**3.\nAnswer: 2490*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16616407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 2*s - 8. Suppose 2*r - 6 = 0, 5*x - 3*r - 237 = -16. What is the remainder when x is divided by l(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**5\/60 + 13*v**4\/24 - 2*v**3 + v**2. What is the remainder when i(9) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*n - 8, 0 = -4*n + 2*n - y - 4. Suppose 5*k - 4 = 2*z, 0 = 2*z - 20 + 14. Which is the closest to k? (a) -1\/4 (b) 1\/6 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85262 = -38*x + 61950. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 5 - -2 - (-4 + 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 0*f - 5*f, -2*f + 17 = -3*w. Let k = 5622 - 5617. Sort k, 2, w in descending order.\nAnswer: k, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2480845*g**4 - 2*g**3*t - 22*g**2*t - 352*g**2 + t wrt g?\nAnswer: 59540280*g - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3 - 2513*m**2\/3 - 520138*m\/3 + 232664 = 0. Calculate m.\nAnswer: -458, -381, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1717918 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r - 3. Let z = -20 - -24. Let d be o(z). Let x(t) = 6*t - 58. Let b be x(10). Solve -h = d*k + 3, 4*h - 4 = -2*k + b for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -152*g**2 - 4. Let o(t) = 1369*t**2 + 37. What is -4*o(x) - 37*s(x)?\nAnswer: 148*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.51905 hours to minutes.\nAnswer: 4771.143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in -3, -1\/3, 9.17, -2, 1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**1\/l*l)**45)**(-1) assuming l is positive.\nAnswer: l**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 - 1 - 5*p**2 + 11 + 5*p + 2 + p**2. What is the smallest common multiple of (5 + -1)\/2 - -4 and j(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 2*q**2 - 1. Let x be d(-1). Suppose 32 = 6*g - x*g + 4*h, -5*g - 3*h = -36. What are the prime factors of g\/(-1)*(-2)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1016 is divided by 334?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 - 15 = 5*q - k, -2*q + k = -17. Suppose 3*b + 3*j + 0*j - 15 = 0, 0 = 2*j - 6. Calculate the least common multiple of q and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - l. Let s(j) be the second derivative of 1\/3*j**3 + 0*j**2 - 1\/6*j**4 - j + 0. Give 3*g(o) + s(o).\nAnswer: o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3825948193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(24) - 5*sqrt(24)*1) + sqrt(24))\/sqrt(2)*-2)\/(sqrt(28)\/sqrt(7)*4 + sqrt(4) - sqrt(40)\/(6*sqrt(10) + sqrt(10))).\nAnswer: 21*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b**3 + 7*b**2 - 9*b - 12. Let u(c) = -7*c**3 - 8*c**2 + 10*c + 13. What is -9*l(r) - 8*u(r)?\nAnswer: 2*r**3 + r**2 + r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589 is divided by 269.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 4*d + 3. Let t be j(4). Suppose 0 = w - 1 - t. What is the second derivative of 2*z + 6*z**4 + 0*z**4 - w*z**4 wrt z?\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*i = 2, 4*u - 8*i = -7*i + 18. Suppose -408 = -2*h - 2*g, u*g - g = 2*h - 408. Suppose -7*k = -3*k - h. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/5)*((z**(-19)\/z*z)\/z)\/z assuming z is positive.\nAnswer: z**(-103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 7 = -5*f, -5*l + l + 15 = -3*f. Solve l*s - 3*r = -6, -2*s + 9*r - 4*r = 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10*((-5)\/10 - 0). What is the second biggest value in -1, 5, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3376 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12837 is divided by 508?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 23*t**2 - t + 3. Let z be h(-3). Let b = -414 + 772. Let u = b - z. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17031 + 46. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*c + 616 = -96*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 9*f**2 - 8*f + 13. Determine n(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101 - 110?\nAnswer: 10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, y: 8, w: 4, z: 4, v: 1}. Give prob of sequence zh.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 + 16*w + 27. Let d(i) = -i**2 - 8*i - 13. Let p(a) = -9*d(a) - 4*r(a). List the prime factors of p(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 218787? (a) 2\/11 (b) -28 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9169147 divided by -4927?\nAnswer: 1861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 201*q = -45472. Calculate the greatest common factor of 2291 and q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 13*u**2 - 21*u**2 + u**3 + 11*u**2 - 5*u as s*u**3 + h*u**2 + j*u + b and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdkdmdmdbdxm. Give prob of sequence bk.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -6\/13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/4 + 1\/4*h**2 - 3\/2*h.\nAnswer: (h - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 6:05 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-273)\/(-5) - 6\/(-15). Let m = c + -24. What is the highest common divisor of 155 and m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - -1*1\/1. Suppose 10*i - 5*i - 15 = d. Let r = i - -20. Solve 5*c + r = 2*y, -6 = y - 2*c - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(320)*-6)**2.\nAnswer: 46080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 6*s = -18. Solve 4*d - y - s = 0, -3*d - 3*y = 2*d + 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 1413.\nAnswer: 5\/1413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 13 + -7 + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2873 is divided by 158.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 4*d + 14, 2 = 3*i + 4*d - 0. Let q be 272\/(-24) + i\/3. Let c = q + 22. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.457 - 0.199. Let t = 0.25795 - q. What is t rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 0. Solve -5*i + 6*i = r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282466069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1812*z**3 - 4*z**4 + 1817*z**3 + z**2 + z**4 + z to v + i*z**2 + l*z**3 + u*z + y*z**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -366330 + -1120?\nAnswer: -400450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 18*t - 23*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*j = 232517 - 3080. Is j a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -554 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1 = 5*x - 95, -2*f - 5*x = -69. Find the common denominator of (-2)\/(-4)*1260\/f and -8\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 14*l + 15*l - 374 = 0. Which is smaller: 70 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 240 and 1649.\nAnswer: 395760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 5:43 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*p**2 + 20*p**2 - 64 - 3 + 17*p**2 - 13*p**3 - 59*p**2 as a*p**3 + d*p + k + w*p**2 and give k.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 354 and 25842?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -55.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-160)*4*4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 2. Let g be d(13). Solve -a - 2*a = -g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b + b)*(-3 + 2 + 2)*(-5*b - 7 + 7).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 20211020?\nAnswer: 20211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4597 = 197. Round s to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.6 - 15. Let s = 2.9 + n. What is the second biggest value in 4\/11, -0.3, s?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/13668 and -61\/68.\nAnswer: 13668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(19) - (sqrt(19) + 1 + sqrt(76)\/sqrt(4))) + sqrt(95)\/(1*sqrt(5)))**2)*3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (4 + (-39)\/18)) + 2. What is the closest to 0 in -5, 0.5, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 4. Sort z, -1, 2\/9 in ascending order.\nAnswer: z, -1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/9 and -29\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 32 = -10*z. Solve -15 = 4*i + 5*y - 6*y, -z*i - 4*y = 40 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -7*x**3 + 0*x**4 + 0*x**5 - 28*x + 0*x**2 + 0*x**6 + 0 + 37\/42*x**7. What is the second derivative of l(a) wrt a?\nAnswer: 740*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*a**2*h**5 - 180173*a**2*h**3 - 91*a**2*h + 14*a**2 - 50*a*h + h - 1 wrt h.\nAnswer: 100*a**2*h**3 - 1081038*a**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 19. Let u(j) = j**3 - 19*j**2 - 57*j - 186. Let b be u(22). Calculate l(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 3*v - 106. Let a = 9129 - 9111. What is the greatest common divisor of v and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 239175 and 0.087.\nAnswer: 20808.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6)*72\/312*-8*4\/(-16).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 - 9*q**2 - 5*q**2 - 4*q**2 + 10*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at least -113336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14104.679 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3620 - 86929\/24. Calculate the common denominator of -91\/576 and s.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {b: 13, m: 2, z: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-2))\/((-1)\/20). Suppose -4*w + l = -w. Let u(g) = -6*g - 371. Calculate the remainder when w is divided by u(-63).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -127, -289, -527, -847, -1255, -1757, -2359?\nAnswer: -3067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*(-2 + sqrt(2736)) + sqrt(2736))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*o - 5*d - 9, 0 = 5*o - 2*d - 28. Solve o*z + 2*s + 18 = 0, 3*z - 4*s - 22 = -30 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3329 a factor of 342939325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 2, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43 + 4520472?\nAnswer: 4520535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 63*f**2 - 222*f - 1492. Calculate the remainder when w(-65) is divided by 214.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2015*l + 250*l - 1228*l + 237*l + 230*l to the form s*l + k and give s.\nAnswer: -2526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i + 0*i - 93 = 0. Let d(k) = 0 - 145*k - 5 + 0 + 138*k. Let f(o) = 6*o + 4. Calculate i*d(b) - 4*f(b).\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4113362 is divided by 32.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 9302733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*a - 5, -a - 2*a + 13 = 4*k. Suppose 0 = i + 2*o - k - 22, -5*i + 5*o + 115 = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u - 3*u + 0*u)*(2*u + u - 4*u)*(0*u**2 + 3*u**2 - 2*u**2) to n*u + z + w*u**2 + d*u**3 + r*u**4 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 354*w**2 + 6*w - 40. Let n be z(-10). Round n to the nearest one thousand.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)*-1 + sqrt(33) + sqrt(33))*-2 - sqrt(99)\/sqrt(3)*-6)\/(sqrt(44)*-3 - 6*sqrt(11)*3).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 5*o = -1 - 5, 0 = 5*j + 5*o - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2087*l + 2*l**2 + 1442*l + 3188934 + 991*l - 635134.\nAnswer: 2*(l + 1130)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*m - 127 = 0, 4*m + 119 = 2*p + 37. Let o = 29 + p. What is the highest common divisor of o and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 125?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207940048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*l**3 - 470*l**3 + 117*l**3.\nAnswer: -127*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 23*i**2 + 38*i + 20. Let t be w(-20). Let q = -458 + t. Solve 0 = 5*k + 3*h - 28, -2*h = k + q*k - 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -93*n**2*u**3 + 2*n**2*u - 3*n*u**2 wrt u.\nAnswer: -558*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*d - 127 - 241. Suppose 0 = d*p - 2035 - 5805. What are the prime factors of p?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 3, 18, 29, 36, 39, 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/194?\nAnswer: 1\/194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 3*z**2 + 3*z**2)*(3 - 3 + 7*z**2 + (-2*z + 3*z - 3*z)*(6*z - 3*z + 0*z)).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 107*i + 135*i + 28*i + 5*i**2 + 78*i as b*i + g*i**2 + l and give b.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 392784 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 20\/5)\/(1 - -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67710 and 1020?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 103*f - 827. Let t be c(9). Solve 42*q - t = 67*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 2*w**2 - w**3 + 2*w**3 - 2*w**3 + 5*w**2 + 3. Let b be y(7). Let z(l) = -16*l - 4. Does 20 divide z(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9 + (4 - -3))*(-3 - -4). Sort 5, i, -2\/271.\nAnswer: i, -2\/271, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768090553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p = -21. Let q = p + 19. List the prime factors of (4\/q)\/(2\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 168*c - 2. Let x(t) = -4*t - 2. Calculate h(r) - 2*x(r).\nAnswer: 176*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4351653524 - 2?\nAnswer: 4351653522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -8*w - 21. Let o(t) = -t**2 + 5*t + 16. Let c be o(w). Find b such that 1\/2*b**3 + 0 + b**c + 1\/2*b = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -72*d**5\/13 + 293218*d**4\/13 - 724532*d**3\/13 + 293048*d**2\/13 - 32560*d\/13 = 0.\nAnswer: 0, 2\/9, 1\/4, 2, 4070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 16\/(-1 + -1). Let a be p + 8 - (-18 - -1). Let y = -7 + a. Calculate the remainder when y is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + -32. Let h = x + 69. Suppose -5*k - 4*g = -33 - h, -44 = -4*k + 2*g. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 56 = -5*r + r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u + 25. Let h be i(-4). Suppose -2*t - 33 = -5*t. Calculate the remainder when t is divided by h\/14*105\/90*4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, v: 1}. Give prob of sequence vc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34214, -34223, -34242, -34277, -34334, -34419, -34538, -34697?\nAnswer: -34902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b + 10*b - 8 - 6*b**2 + 4 + b**3. Let g be o(5). Suppose h - 2*k = -7, 3*k = 4*h - 9*h + 17. Is g at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8666.1 + 8666. Which is the closest to o? (a) 1 (b) 5 (c) -157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**3\/3 - 10. Let h(w) be the first derivative of -w**3 + 1. Determine h(v(d)).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0283856408 rounded to six dps?\nAnswer: 0.028386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29.29999949 - 29.3. What is p rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116 - (-58 - -129) - -129\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**2\/((i\/(i*i**(-3)\/i))\/i)*(i*(i*i*i\/(i**0*i))\/i)**(12\/5)*(i**(8\/7)\/((i\/(i**(-2\/7)\/i*i))\/i))**(-2\/25) assuming i is positive.\nAnswer: i**(653\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 4*i + 5*v, -6*i + 2*v = 44 - 84 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/90 + (-209)\/(-6))*3. Let y = -11 + j. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 126*n + 424. Calculate v(-4).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*j**2 + 114*j**2 + 16*j**2 + 7*j - 4*j - 4 as b*j + h*j**2 + f and give h.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43482055?\nAnswer: 5, 8696411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515915.\nAnswer: 5, 103183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*f + 5*f - 4*f)*(2 + 2 - 10) + 5 + 6 - 10 - 3*f as y*f + o and give y.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425 = 3*a - 1304. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217*y + 230*y - 891*y + 217*y + 225*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-385))\/((-1)\/(-5))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + v + 0)*(-1 - 1 - 1) + (-2*v + 6*v - v)*(-2 - 2 + 6) - v + 2*v - 2*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -2. Suppose 2*m - 10 = -3*h + t, m = 2*h - 8. Is m at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (2 + (5 - 8) + 10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + (5*(0 + sqrt(17)*-2) + (sqrt(85)*-1*-1 - sqrt(85))\/sqrt(5))**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28321869?\nAnswer: 3, 359, 26297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 5*i + 5*u + 28 = -0*u, 112 = 17*i - 5*u + 204 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 6*d + 3*q - 11, 10 = 2*d + 4*q. Let v = -3\/5 + 1\/10. What is the nearest to d in -1\/5, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4367640 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: Add 25 and 223596.\nAnswer: 223621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-1 - (16 - 8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2206 + -1.3206. Round w to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20587 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 5*r, 0 = -6*u - 5*r + 9*r - 42 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55\/22)\/(17690\/(-732)).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 53360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -127*o**3 + 235*o**3 - 109*o**3 + 24*o - 28*o**2 - 38. Let z(g) = g**2 + 12*g - 9. Let w be z(-10). What are the prime factors of a(w)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*z + i + 8, z = 2*i + 7. Let p = 37 - 34. What is the remainder when 6\/(102\/32 - p) is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2789 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57384 = -250*i - 18384. Calculate the remainder when 1102 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**3\/5 + 2585*m**2\/2 + 3480864*m\/5 + 1159929\/10 = 0. Calculate m.\nAnswer: -1077, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y**2 - y. Let i be j(-1). Let q = 7 + -3. Suppose -5*k + q*k = 0. Put k, i, 1 in decreasing order.\nAnswer: 1, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -15444*b**2 + 200*b + 5 - 101*b - 96*b. Suppose -2*y + 23 = -5*i, 0 = 5*i + 4*y - 1. Let a be w(i). What is a rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -1127*l - 3. Let q(y) = -556*y - 2. Give 3*f(s) - 5*q(s).\nAnswer: -601*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.32 - -3.08. Let l = z + 0.6. Let v = 6 - l. What is the second biggest value in -0.2, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 2)*(8 - 5 + 8)*(-2 + 6 + 0)*(-1 - 5 + 5)*(j + 4 - 2*j - 3).\nAnswer: 176*j - 176","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 78 (c) 0.4 (d) -2\/5 (e) 1 (f) -108\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qy when two letters picked without replacement from {q: 14, y: 1, f: 5}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -126*k + 6*k**3 + 5*k**3 + 2*k**3 + 9471*k**2 - 9472*k**2 - 11*k**3 - 6 in the form g*k + o*k**2 + s + m*k**3 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 2*b**5\/15 - b**3\/2 + 7*b**2 + 22. Let n(i) = 10*i**2. Give t(n(f)).\nAnswer: 800*f**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -11\/6, 2.23, 0.2?\nAnswer: 2.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**5\/20 - y**4\/2 + y**3\/6 + 4*y - 5. What is x(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - 0. Calculate the common denominator of 2\/h*475\/(-44) and -27\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/2*(-752)\/(-94).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 121 + 123. List the prime factors of l.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -597 by -636.\nAnswer: 199\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 7*j + 7. Let c be t(-7). Let f(u) = 6*u + 1. What is the remainder when (2 - -117)*12\/(336\/20) is divided by f(c)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/17)*q\/q**(-3)*q)\/(q**9*q\/(q**(1\/15)\/q)) assuming q is positive.\nAnswer: q**(-1228\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5)*(-9*v + 4*v + 39*v)*((-v + 3*v - 3*v)*(-4*v + 5*v + v) - 3*v**2 + 2*v**2 + 0*v**2).\nAnswer: -102*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 10 = 22. Suppose 28*z - 40 = m*z. Let i = -1 + z. Put i, 5, 3 in increasing order.\nAnswer: i, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -r + 4*x - 6, -r = x - 19. Let n = -4 - -10. Let j(a) = 10*a - r*a + n*a. Let c(l) = l**2. Determine c(j(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 1061*a**7\/42 - a**4\/12 + 293*a**3\/6 - 840*a. Find the third derivative of c(m) wrt m.\nAnswer: 63660*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.4, -2\/9, -2\/19, 0.5, -3, 317 in descending order.\nAnswer: 317, 2.4, 0.5, -2\/19, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/822602 and -7\/11?\nAnswer: 822602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42231218.\nAnswer: 2, 521, 40529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72795905 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 471 and 1383.52928.\nAnswer: 1854.52928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -866 + 38. Let z = 212 + w. Let g(a) = -11*a**3 + 3*a**2 - 8*a + 10. Let x(j) = -5*j**3 + 2*j**2 - 4*j + 5. Let o(c) = 4*g(c) - 9*x(c). Give o(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*s - 19, 2*r + 12 = -3*s - 5. Let l(o) = -o - 4. Let i(q) = 1. Let t(f) = 4*i(f) - l(f). What is the units digit of t(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(32 + (-2639)\/87)*6\/(-75)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-702)\/(-15) - (-2)\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 333968583 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -423.7\nAnswer: 42.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*y. Suppose 0 = 3*m - 3, 8*m = 2*k + 4*m - 16. Suppose 5*t - k*t = y. Is 1\/8 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*o - 7*o - 13*o + o**2 + o**2 - 16*o**3 - 5*o**2 - 2 to the form y + t*o + w*o**2 + h*o**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -16*o + o. Suppose -4*j + 6*j = -5*i + 1438, -1151 = -o*i - j. Calculate the highest common factor of 32 and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 5338\/27132*138)\/(12\/42)\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 246*z**2 + 2*z + 351 wrt z.\nAnswer: 492*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 33\/44)*-4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(4\/(-3)))\/(3\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*p**2 - 12*p**3 + 12*p**2 + (2*p**2 + 0*p**2 - 4*p**2)*(-4*p + 5 - 5) + (3*p + 3*p - 3*p)*(3*p + 2*p**2 - 3*p) - p**3 + 3*p**3 - 3*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61470, 61474, 61478?\nAnswer: 61482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 211361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 185 - 106. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 7:36 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -61*u - 4. Let x(j) = 30*j + 2. Let i(b) = 3*p(b) + 7*x(b). Let s be i(3). Suppose -3*f + 46 + s = 0. What are the prime factors of f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 253*f**2 - 55*f - 55. Let r(u) = -14*u**2 + 3*u + 3. Let c(g) = 55*r(g) + 3*v(g). Let a(l) = 3*l. Determine c(a(m)).\nAnswer: -99*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.651 + 0.375. Let q = t - -0.076. Let a = 3.7 + q. What is the third smallest value in -5, 0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/6097 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4722629436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.5, -2, -4, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/30)\/((-21)\/(-105)). Sort 2, -3, 4, i in decreasing order.\nAnswer: 4, 2, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2. Suppose -3*m + 406 + 362 = 0. Let c(q) = m - 256 - 26*q. Determine c(v(g)).\nAnswer: -26*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26.4 - 26.7. Let d be 6\/4*52\/6. Sort q, -0.2, 0.1, d in decreasing order.\nAnswer: d, 0.1, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**3 + 14*i**2 + 18*i - 12. Let t be u(8). Suppose t*s - 6 - 2 = 0. Solve -3*m + s*z = 2*m - 1, 3 = -z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**5\/30 + 26*n**2. Let c(d) = -100*d. Determine c(v(g)).\nAnswer: 200*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 17\/(-374)*(-4)\/3. Let o(s) be the third derivative of 0*s - 4*s**2 + 0 + g*s**3 + 7\/132*s**4 + 1\/132*s**6 + 3\/110*s**5 + 1\/1155*s**7. Factor o(c).\nAnswer: 2*(c + 1)**3*(c + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 + 92 + (-1 + -1 - -4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a - 36 = -4*k, -778*a + 3*k = -777*a - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -16. Let j = n - 6. Suppose -5*b = 5*x - 25, 0*x = -b + j*x - 13. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 883531346 and -2436.\nAnswer: 883528910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 7*g + 147. Let u be s(-21). Suppose -2*d - 4 = -3*l + 27, 2*l = -5*d - 11. Suppose -c = -3*t - 42, 4*t + 13 + l = u. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2917 - -2939. Calculate the smallest common multiple of m and 226.\nAnswer: 2486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*l + l - 4, 4*a + 4*l - 24 = 0. Suppose 5*i = -3*d - 2*d + 1075, -5*d = -a*i - 1057. Let x = -146 + d. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 21*k**2 + k - 24. Calculate u(21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33088993 is divided by 2282?\nAnswer: 2275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21051 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -222390.\nAnswer: 1\/222390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -0.12, -5, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 + a**3 + 2*a**3 + (-2*a - 2*a**2 + 2*a + (5*a - 5*a + a)*(2*a + 3*a - 2*a) - 5*a**2 + 4*a**2 + 3*a**2)*(60*a + 37*a - 35*a).\nAnswer: 189*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 31*o**2. Let m(s) = -13*s - 50. Let p(i) = 2*i + 10. Let r(a) = 6*m(a) + 30*p(a). Give h(r(u)).\nAnswer: 10044*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.13865 - -35.\nAnswer: 19.86135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**3 - 4918*q**2\/5 - 511384*q\/5 - 20416 = 0.\nAnswer: -88, -1\/5, 580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/(-18) - (-16)\/(-72). Factor 0 - 1\/2*k**2 + r*k.\nAnswer: -k*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -933*o**5\/10 - o**4\/4 - 249*o**2 + 1328*o. What is the third derivative of a(f) wrt f?\nAnswer: -11196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7454 + 8627. What is the greatest common factor of 153 and r?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**2 - r**2 + 1 + r**2)*(-5*r**2 - 3 + 46 + 3*r**2) as v*r**2 + l*r**3 + n*r + j + m*r**4 and give j.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4825890695?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10901*g + 10859*g - 21734*g.\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*m - 13, -3*k - 357 + 388 = m. Let w(b) = b - 1. Calculate the smallest common multiple of w(5) and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01507 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 3 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-309)\/1236 + (-5 - (-965)\/20)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 1)*(-1 + 1 - 2*t)*(-3*t - 2*t + 0*t).\nAnswer: -50*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -488 + 478. Let s be 1200\/4250 - ((-24)\/a - 2). Sort -0.1, s, 3\/2, -0.2 in descending order.\nAnswer: 3\/2, -0.1, s, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4276\/9*j - 952 + 4\/9*j**2 = 0 for j.\nAnswer: -2, 1071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-3)*12819\/(-4273)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-6*(sqrt(1331) - (sqrt(1331) + -2*sqrt(1331))*5 - sqrt(1331) - sqrt(1331)))**2 + -2 + 5 + 2.\nAnswer: 766661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i = 30*i + 16. Determine p so that -1\/2*p + 7\/4*p**2 + 0 - 7\/4*p**i + 1\/2*p**3 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -5. Suppose -i*g + 3 = -g. Let u(d) = -d + 5. Let w(l) be the first derivative of -4*l + 293. Give g*w(c) + 2*u(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -6*r + 32. Suppose -13*h + r*h + 5 = 0. Suppose -2*m = 5*b + 63, 10 = -h*b + 3*b + 3*m. Let j(p) = p**2 + 12*p + 14. Calculate j(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -5 - (8 + -34 + 16)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-30)\/24)\/((-1)\/4). Let a(t) = 0*t - t - 1 + h + 5. Calculate the remainder when 9 is divided by a(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-112)\/21)\/(-8)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 86699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 14552*z - 188500.\nAnswer: -4*(z - 3625)*(z - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 14. Suppose -3 = 5*m + k. Which is bigger: m or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 28*g**2 + 94*g - 15. Calculate the remainder when 187 is divided by o(-24).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 = -2*k, -4*k = -5*c + 9*c - 12. Suppose -614 = -5*f + 1621. Suppose 2*j = c*n + f, 4*j = -n - 78 + 917. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-15) + 3\/(75\/35). Which is smaller: -4\/53 or o?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3025.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d. Let v(b) = b + 4. Let l be v(-4). Suppose -7*m + 3*m = l. Let f(g) = g + 0*g + m*g - 2*g. Determine j(f(i)).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 64200000 = -r. Suppose -x = -3*x - r. What is x rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-789)\/(-27) - 4\/18?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -13, -96, -271, -568, -1017, -1648, -2491?\nAnswer: -3576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Suppose 31 = 2*t + g - 20, 2*g - 10 = 0. Let z be 6\/15 + t\/5. Suppose 215 = z*y + 60. Does 20 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - a?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 146 = 13. Let r(h) be the first derivative of h**2 - 10*h + 1. Let y be r(8). Is s greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*d**2 + 18 + 0 + 3*d**2 + d - 30*d**2 + 2*d**3 - 3 in the form p*d + q*d**3 + v + m*d**2 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1258633 * -0.1\nAnswer: -125863.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4766711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k + 2. Let u(l) = -3*l - 3. Let x(r) = -4*f(r) - 3*u(r). Suppose -4*c - 26 = -2*y, -4*c - 3 = y + 8. Is x(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(720)*-6)**2.\nAnswer: 933120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -408607 or 4148?\nAnswer: 4148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-9))\/(2\/642). Suppose l = -t + 438. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1127931\/(-98))\/(2\/8 + (-24)\/32) 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 e and 1 f when two letters picked without replacement from eeefewfefwefwefffe?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3\/1529972?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, 9, -3, -1 in increasing order.\nAnswer: -3, -1, 4, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 1\/2*x**3 + 17*x + 1\/20*x**5 + 1\/3*x**4 + 0*x**2 + 0. Suppose o(b) = 0. Calculate b.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 1. Let u(c) = -5*c - 6. Let h(t) = 4*o(t) - u(t). Let w be h(0). Factor -w*y**3 + 3*y - 1 + y + y**4 - 2*y.\nAnswer: (y - 1)**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3276 and 1260?\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42464949019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 12*h**3 + 3*h. Let i(q) = -21*q - 340. Let d be i(-18). Suppose -d*x + 41*x - 24 = 0. Let f(g) = 36*g**3 + 8*g. Give x*c(m) - 3*f(m).\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222 - -11?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/243 + 164\/243. Let k = 465.5 + -464.7. What is the biggest value in -1, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -7*x + 65. Let v be l(10). Let p be (-160)\/2 + 5\/v. Is p\/(-135) - 477\/(-5) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.05 - 17.05. Which is the nearest to -0.2? (a) 4\/11 (b) 4 (c) 2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 43 = 4*s + 408, -4*r = 2*s + 176. Let l be (s\/4)\/((-66)\/12 + 5). Which is the third smallest value? (a) l (b) 4\/3 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33876.8 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3725622 - 3725622 + 0*z**3 - 3*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -0*m + 5*l + 10, -3*m - 5*l - 40 = 0. Let p = 29 + m. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12804 + 25912 - 17877 + 7*b**3 + 41*b**4 + 13*b**3 wrt b?\nAnswer: 164*b**3 + 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/6 + 2)*-9. Let k be 4\/w + 87\/9. Suppose 4*f = k + 11. Solve 0 = -l - 0*l + f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103121\/5 - 20624. Which is the closest to 7? (a) o (b) 5 (c) 2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -5, -28, -69, -134?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/11250 and -1\/7125.\nAnswer: 213750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/36)\/(6\/(-72)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 8\/84239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o. Let i be l(-3). Let d(f) = f**2 + 3*f - 3. Calculate d(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**4\/12 - 7*r**3\/6 - 5*r**2\/2 + 31*r. Calculate i(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 16*t - 1245. Let w(v) = -15*v + 1239. Determine -9*c(l) - 10*w(l).\nAnswer: 6*l - 1185","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354930 is divided by 7243?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c + 76?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-96)\/36*(-264)\/64. Solve 2 = -5*o + s + 13, -3*o + 5*s - l = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1230, 1, 6, 3, -5, 0.\nAnswer: -1230, -5, 0, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 9*l**2 - l - 5. Give k(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -217663, -217666, -217667, -217666, -217663, -217658, -217651?\n\"Answer: k**2 - 6*k - 217658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-60)*4\/16*-1. Let b(j) be the third derivative of 1\/3*j**3 - 6*j**2 + 1\/24*j**4 + 1\/20*j**5 + d*j**6 + 0*j + 0. Give b(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 641*g - 12655 = -1117. Let q(r) = 4*r**2 - 9*r. Let n be q(6). What is the greatest common factor of n and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -219.5 + 220. Sort 4\/5, -0.5, t, -1 in increasing order.\nAnswer: -1, -0.5, t, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/24 and 56\/48411?\nAnswer: 387288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1617, 3230, 4841, 6450?\n\"Answer: -n**2 + 1616*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - d. Let i(s) = -5*s**2 - 19*s - 4. Let y(v) = -i(v) + 6*p(v). Let b be y(13). Let h be (-2)\/(-3)*2 + -1. Which is bigger: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f + 7*f + 556 = 578. Let n(q) = 5*q**2 + q. Let k be n(-1). Let y(i) = i**2 - 2*i - 5. Let a be y(4). Solve -a*b = k - f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1787087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*n - y - 228, 5*n = 3*y + 569. Calculate the remainder when n is divided by 35.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10525\/(-100) + 104 - ((-53)\/4 + -3)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwl when three letters picked without replacement from {l: 7, d: 2, w: 11}.\nAnswer: 77\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5*r - 21, 2*h = 3*r - 0*h - 23. Suppose -3*g = -4*g + 4*q - 8, 2*g - q = r. Solve -14 = 2*o - g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/18*14*3\/70. Which is the second biggest value? (a) -1 (b) -0.1 (c) 3 (d) v (e) -8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 227541523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*u - 26*u + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 195791\/21280 + -3\/4256. Let b = 6\/829 - 5893\/12435. What is the common denominator of b and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 15. Let v(i) = i**3 + i**2 + 1. Let r(m) = 0*m + 7*m**3 - 23 + 27 + 4*m**2 + 0*m. Let q(c) = 76*c + 609. Let a be q(-8). Calculate a*r(s) + d*v(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -96*j**4 + 7340*j**3 + 29712*j**2 - 203856*j + 231680 = 0.\nAnswer: -181\/24, 2, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 7*o + 2*o)*(2 - 3 + 0)*(-3 + 1 + 4 + (2 + 0 - 1)*(1 + 2 - 4)).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/6 and 53\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (0 - -5)) + -1 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 27*l**2 + 21*l - 29. Is a(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*r - 16*r + 62*r - 56 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14c380 (base 13) in base 7?\nAnswer: -4233130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -12*q - 2 + q**3 + 8 - 12*q**2 + 10. Let t be f(10). Let x = t + 471. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by (-12)\/10*(-8 + -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + 6 - 46 - 45?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -567083*n**3 + 3*n + 253363.\nAnswer: -3402498*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p - 10. Let l be n(-15). Suppose 0*f = l*f - 275. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/341850 and 97\/7064900.\nAnswer: 21194700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 310\nAnswer: 2790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -177 + 201. Solve x*m - 17*m = -14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11911250 divided by -3?\nAnswer: 11911250\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -80424144 divided by 68?\nAnswer: -1182708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170741 is divided by 2944.\nAnswer: 2933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2. Let v(b) be the third derivative of b**8\/6720 + b**5\/20 - b**2. Let s(p) be the third derivative of v(p). What is h(s(i))?\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(t*t**(-4\/7))*t*t*t**(-39) assuming t is positive.\nAnswer: t**(-248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1103464 and 0.85?\nAnswer: 1103463.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57692, -57693, -57694?\nAnswer: -57695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 668792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2163153174 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-800)\/(-90) - (-11)\/99.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 13) to base 2\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + 148\/(-24) - (-6907)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*d**2 + 254*d**2 + 212*d**2.\nAnswer: 590*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 354608436 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: (450\/20 - 16)*2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*o + 7*o - 54, -5*u - 54 = -3*o. Suppose m - 10 = o. Let i = m - 15. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*q - 1515 = -5*d, 669*q - 2*d + 21 = 670*q for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35548 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 10 = 4*n - 7*y, -y = -1. Solve -2*m + n = 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 3*z = 3*f - 27, 3*f - 2*z = 18 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1778547 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*w + 872, 5*w - 674 + 212 = 2*u. Let l = u + 223. Solve 24 = -5*h + l*g, 4*g + 8 = -4*h - 0*g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 18 - 7*o + 2*o - 3.\nAnswer: -o - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4235 + 4310. Solve 0 = 14*p + 11*p + t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 333 - 328. Is ((-1)\/(-5))\/(404896\/(-80980) + t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/8 + 10\/8. Suppose -2*m + 3*o = -6, m - o - 1 = u. Let d(i) = -i**2 + 4*i - 3. Give d(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 7*y**2 + 6*y + 7. Let s(x) = -x**2 - x - 1. Let z = -16 + 17. Calculate z*q(k) + 6*s(k).\nAnswer: k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*z + 9*z = 15, 2*z - 6 = 3*y. Suppose y = -v + 2*v - 2. Let h be 78\/(-15) + v\/10. Sort h, 1, -3 in increasing order.\nAnswer: h, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 168, -47, -15 in descending order.\nAnswer: 168, -15, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 50*z**2 - 227*z + 26. Let l be i(-45). Let j = 116 - l. Solve 0 = -6*v - 6 - j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2180 and 275116?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 2. Let y be q(2). Suppose -1 + 27 = -y*h + 2*w, 0 = 5*h - 4*w + 31. Let g(l) = l**3 + 7*l**2 - l - 3. What are the prime factors of g(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 0 + j - 5 + 1. Let z(f) = -2*f + 9. Let q(i) = 2*i**2 - 5*i + 2. Let d be q(3). Suppose d*b - 3*b + 10 = 0. Give b*a(y) - 2*z(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -11*c**2. Let n(f) = -3*f**2 + 11 - 1 - 10. Calculate y(n(g)).\nAnswer: -99*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 246*m**3 + 0 + 39*m**3 - 2*m - 2 in the form y*m**3 + x*m + f*m**2 + j and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3\/2 + 151*m**2\/2 - 5467*m\/2 - 17787\/2 = 0. Calculate m.\nAnswer: -3, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + o**2 - 2*o**2 - o**2 + 5 + o**2. Let y(m) = -m**2 - m. Let j be y(0). Give x(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 6*f**2 + 8. Let n(o) = -2*o**2 - 3. Let d(y) = 8*n(y) + 3*r(y). Let b(h) = 31*h - 2. Calculate d(b(c)).\nAnswer: 1922*c**2 - 248*c + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 31752132*p + 126024735818178.\nAnswer: 2*(p + 7938033)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -227*n*r**2 + 3*n*r + 11*r**2 + 194 wrt r.\nAnswer: -454*n + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*p + 16*p + 3. Suppose -2 = -p*h + 19. Let z(o) = -5*o**2 + 3*o**2 - o**3 - h*o + 1 + 10*o**2. Determine z(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -0.5, 0.25.\nAnswer: -0.5, 0.25, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 171 + -5?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 k when four letters picked without replacement from {n: 5, k: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + (-2147)\/76 + 4\/(32\/130).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20683 - 82729\/4. Which is the second smallest value? (a) r (b) 1\/12 (c) 0 (d) -263\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -16. Solve -5*p - 10 = f, -2*p - p = r + 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.55387 * -101.65\nAnswer: -56.3008855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - k + 45. Let q = -25615 - -25690. What is the highest common divisor of q and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -410288*z + 205087*z + 205201*z + 5*z**2 - 12*z**2.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2517534757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1, -9, 1\/11 in ascending order.\nAnswer: -9, -1, -0.2, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -16, -42, -90, -166?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 350003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 40937, 40903, 40861, 40811, 40753, 40687, 40613?\n\"Answer: -4*w**2 - 22*w + 40963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r. Let j = 6 - -3. Let n = j - 6. Let b(l) = l - 3*l + n*l - 5*l. Determine b(s(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 92?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7821)\/(-132))\/(-79)*8\/27.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**9\/5040 - 3*m**8\/2240 - m**7\/210 + 3*m**4 - m**3\/3 - 26*m. Let f(j) be the third derivative of i(j). Factor f(v).\nAnswer: 3*v**2*(v - 4)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-18) - 104\/(-18). What is the third derivative of 3*j**x + 2*j**2 + j**2 - 5*j**6 wrt j?\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9 minus 0.8?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 - 8*z**2 + 5*z**2 - 10*z**2.\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 2*d + 2. Let b be v(2). Let y = -2 + b. Factor -4*m**4 + y*m**4 - 8*m**2 - 2*m - 14*m**3 + 4*m**3.\nAnswer: -2*m*(m + 1)**2*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - f - 3*f)*(3 - 1 - 4) + (-2 + 1 + 2)*(6*f + 2*f - 3*f) + (-6*f - 8*f + 2 + 10*f)*(1 - 2 + 2).\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 69d01 (base 15) in base 8?\nAnswer: 1222233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -343 + 344 + (-18 - -1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-82 + 188*v - 75 + 158)*(15 - 7 + 2*v**2 - 4) as x*v**2 + l + f*v + i*v**3 and give f.\nAnswer: 752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(165\/176*(-18)\/(-27))?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 14. Let g = 3 + -4. Let d = g - -1.2. Sort d, v, -2\/7.\nAnswer: v, -2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 13. Let o = u - -11.3. Let k = 27.5 + -28. Sort o, -2\/13, k in descending order.\nAnswer: o, -2\/13, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10134937 - -30?\nAnswer: 10134967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 + 63*u - 63*u + 3*u**3 + 0*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-26) - 26\/(-169))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -412023424 (base 5) in base 12?\nAnswer: -68863a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**3 - 3787956*r**2 + 53030943*r - 185607786 = 0. What is r?\nAnswer: 7, 1262638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2683 = 4*b - w, -b + 2*w = -625 - 51. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(2\/11)*y**(-9)*(y*y**2*y)**(-3\/7))**(1\/7) assuming y is positive.\nAnswer: y**(-657\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1645, 3280, 4905, 6514, 8101, 9660?\n\"Answer: -i**3 + i**2 + 1639*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -110110000 (base 2) in base 10?\nAnswer: -432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-322)\/(-115) - 7740\/(-450)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 171 + -97. Calculate the remainder when d is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 553677300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.89 + -1.17. Let l = -4.2 + n. Are l and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 223*v**3 + 7*v**2 + 3*v. Let w(r) = -669*r**3 - 19*r**2 - 8*r. Calculate 8*a(n) + 3*w(n).\nAnswer: -223*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 27*i + 41. Let u be -1 + 87\/(-5) + 18\/(-30). What is the units digit of a(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**3 + o**2 - 1. Let r be p(-1). Let n be r - (6 - 5)\/(-1). Let w be ((-95168)\/(-14) - n) + 40\/140. Round w to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 - 3*z**2 + 10*z**2.\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 - 6*s + 6*s - 33*s**2 + 6*s**2.\nAnswer: -28*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4018142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - j**2 - 6*j + 3. Let f be i(3). Let r be f + 58*(-4)\/(-36). Let t = r - 29\/3. Sort t, -6, -0.2 in increasing order.\nAnswer: -6, t, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -124*k + 18. Does 12 divide m(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**15\/o*o*o*o*o\/(o*o\/o**14)*o)\/(o*o*o**(-2\/59)\/o*o*o*o**(-2\/13)\/o) assuming o is positive.\nAnswer: o**(23921\/767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41483925 and 20475.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1792 - 1789. Find k, given that -8\/17 - 6\/17*k**2 - 16\/17*k + 2\/17*k**4 + 4\/17*k**g = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4783469\/69 - 69327. Let r = -681 - -46991\/69. Let k = f + r. What is the smallest value in 2\/13, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/40 + (-98)\/(-10). Let q(a) = 3*a - 9. Is q(l) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*b = -426*b - 1535 - 933 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -743 = -3*s + 4*z, 5*s - 3*z - 625 = 595. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 68, 0.4, -4\/7, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 48*r - 475. Let c(u) = 43*u - 476. Calculate 8*c(f) - 7*l(f).\nAnswer: 8*f - 483","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 20. Let n be t(0). Let c = -6 + n. What is the least common multiple of c and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 5*o + 3, 3*o + 29 = -5*i - 0*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 36*n**2 - n - 33. Let q be c(-36). Solve -q*i - 6*i = -45 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000042969973 rounded to seven decimal places?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 7.42114841.\nAnswer: 12.42114841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 10*g + 5*g)*(4065 + 3453 + 1479 - 2049 + 2892).\nAnswer: 186960*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 7 - 1)*(-10*r**5 + r**3 - r**3).\nAnswer: 40*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12910975 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -579 + 581. What is the least common multiple of (-59 - 85)*t\/(-6) and 2?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4\/10 - 3*c**3\/5 - 12*c**2\/5 - 13*c\/5 - 9\/10 = 0. What is c?\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76 - 31 - 35)*((-67 + 5*n + 67)*(-3*n + 2*n + 2*n) + (-6 + 3 + 1)*(-n**2 + 0 + 0)).\nAnswer: 70*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -59\/3. What is the smallest value in p, -5, 1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2583435 - -5919935. Round p to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 21 = 31. Let y(w) be the first derivative of w**3\/3 + 7*w**2 + 13*w - 29. Let a be y(-14). Calculate the greatest common factor of a and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132793 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p + 2. Let k(x) = 23*x**2 - 3*x + 618. What is k(m(a))?\nAnswer: 92*a**2 - 178*a + 704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 45, -0.3, 0, -3, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 4:35 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81104846.\nAnswer: 2, 113, 383, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 8, -1\/7, 1, 0, -27\/38, -2\/5?\nAnswer: -27\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 182344 + 693671. Let m = 1403985 + s. Round m to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = k - 3*a, 5*a + 0*a = -5*k + 60. Let y(h) = -1 + k*h**2 + 1 + 0. Let l(r) = 2*r. Determine l(y(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 13\nAnswer: 21\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/2 + 10\/2 + 0. Suppose -3*b - 5*h = -1709, -3*h + 7*h - 2857 = -d*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1 + h**3 - h**3 + 6*h + h**3 + 0*h**3 + 8*h**2. Suppose 53 = -12*w - 31. Determine z(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 560, 0, 184 in descending order.\nAnswer: 560, 184, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.5 + -13.5664. Let q = 0.07278 + r. What is q rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*a**4 + 12 - 68*a**4 + 2*a**2 + 107*a**4 + a**3 - 14 - a**2 as z + p*a**3 + k*a**2 + n*a + v*a**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + ((-50)\/(-15) - 6))\/3.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-163*v**2 - 2047*v + 2047*v)*(-184*v + v**2 - 145*v + 369*v).\nAnswer: -163*v**4 - 6520*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22667776, 22667793, 22667824, 22667875, 22667952, 22668061?\n\"Answer: h**3 + h**2 + 7*h + 22667767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 - j**2 + 2*j - 2. Let f be s(2). What is the smallest common multiple of (-16)\/6*(-30)\/4 and (-1)\/(27\/f + -2)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 251, 244, 217, 158, 55, -104, -331, -638?\nAnswer: -1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + y - 2*d + 18 = 0, -21 = -3*y + d. Let o be (-21)\/14*52\/y. Do o and -13 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - q. Let g(r) = -6*r**3 + 5*r**2 + 12*r. Let d(w) = -g(w) - 5*z(w). Find the second derivative of d(v) wrt v.\nAnswer: 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186181 + 6*g - 186181.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 566556410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 34. Let o = l - -32. Solve o*t - 5*t = -25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630099447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -104 + -5947.\nAnswer: -6051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 + 488 = -2*c. Let z = c - -901. Does 91 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + s. Let w be z(0). Suppose w = -7*q + 4*q + 2028. Suppose -2*d = -3*g + g + q, 4*g + d = 1337. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + q + 17 = 0, 5*n - 87*q + 92*q + 25 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z. Let h(o) = -3*o**2 - 7*o + 7. Let n = 178 + -174. Let g(s) = 2*s**2 + 4*s - 4. Let d(x) = n*h(x) + 7*g(x). What is a(d(c))?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3464 - 431*x**2 + 145*x**2 + 146*x**2 + 144*x**2 - 1724*x = 0 for x.\nAnswer: -2, 433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*t - 7*t - 7, 4*g = -2*t + 24. Suppose 0*y = 2*y. Solve y = -t*j - 4 - 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 593640 and 15132?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431688121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(176) + 0)*-5.\nAnswer: -20*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 5*t + 4*t - t - 2*t + 2*t + (-1 + 2*t + 1)*(-2 - 2 + 6))*(-4*t**2 - 6 + 6).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 312304038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 291 - 243. What is the third derivative of j*o**6 - o**4 - 14*o**2 + 23*o**2 + 25*o**2 + 49*o**2 wrt o?\nAnswer: 5760*o**3 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 3018630*k + 24148912.\nAnswer: 2*(k + 8)*(k + 1509307)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: c (base 13) to base 12\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25248? (a) 2 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -2, -0.045, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -90, -42, 0 in descending order.\nAnswer: 0, -42, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -76, -120, -166?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-32)\/(-288))\/(((-3)\/3)\/(-1)). Let d = -5.07 - -0.07. Which is the nearest to -2\/5? (a) 2 (b) w (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -129216 or -129212?\nAnswer: -129212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 298632085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 129 + -128. Calculate the greatest common divisor of 25 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.3 - 7.23. Let v = 0.38597 - 0.3159725. Let w = v - o. What is w rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - y + 1. Let t(a) be the third derivative of 41*a**5\/20 + 41*a**4\/12 - 41*a**3\/3 - 2*a**2 - 46. Calculate -82*n(p) - t(p).\nAnswer: -41*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 832324.\nAnswer: 2, 23, 83, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-6 - (-16 + 6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6 + 6 + 124*d - 5. Is s(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + w + 4 = 0, 0 = -3*d - 2*w + 1 - 9. Let s(b) = -1 + 3*b + b**2 - 2*b**2 - 2*b**2 - b**3. Let h be s(-4). Solve 0 = -d*z + h*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2183 - -2176. Let z(t) = 29*t + 1. Let k(m) = -58*m - 2. What is s*z(l) - 3*k(l)?\nAnswer: -29*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4250\/(-2475))\/17)\/((-48)\/132)?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Suppose u = -0*m - 4*m + 40. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlyhhyhryercylcyyrh. What is prob of picking 1 c and 1 h?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5286854*i. Let s(g) = -g**2. Give l(s(f)).\nAnswer: -5286854*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.43 (b) 2\/9 (c) -4 (d) -24 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -547, -305, -61, 185, 433?\nAnswer: 683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 8*l**2 - 7*l - 8. Give m(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 0.3, -0.1, 11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-three eighths of a week?\nAnswer: 483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-3\/7)*h)\/h)\/h)\/h**(-8))\/((h*h*h\/(h*h**2\/h))\/h)**(-3\/28) assuming h is positive.\nAnswer: h**(46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -13 + 14 + 1 - 4199*h. Let t(p) = -p**3 + 3*p**2 - 3*p + 1. Let u be t(2). Is v(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4488 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -267\/4 or -66?\nAnswer: -267\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51250 is divided by 153?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b + 2*h - 101068 = 11*b, -h - 6 = 0. List the prime factors of b.\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3564)\/(-1584)*(-5)\/((-15)\/52)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 5d?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-6) - (-240)\/36. Let d(a) = -9*a**2 + 6*a. Suppose -4*z = -24 + 4. Let o(j) = 8*j**2 - 5*j. Give p*o(l) + z*d(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/59 (b) -35 (c) -2 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -6. Suppose -v*g = -3*m - 3, -3*m + 15 = -4*g + 6*g. Let h(f) = f**3 - f - 2. Is h(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(140)\/(sqrt(28)\/sqrt(4)))\/((sqrt(1210) + (sqrt(1210) - 1*sqrt(1210)) - sqrt(1210))*2 + sqrt(1210) + sqrt(1210)).\nAnswer: -sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -36 (b) 0 (c) 79 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 54*p**2 + 278*p + 32. Determine v(-6).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173 + 40*q + 681 - 172 - 169 - 167.\nAnswer: 40*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 38.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 67.\nAnswer: -5\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 98 - 120. What is the tens digit of (-30)\/(m\/(-26) - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a micrometer in nanometers?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/9 - (-2)\/(-9). Let r = 0.48 + -0.48. Let g = 0.1 + r. Which is the closest to 0? (a) g (b) 1\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - (-1 + 2) - 3. Suppose 2*o + b*o - 15 = 0. Calculate the greatest common divisor of 27 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 h, and 1 w when four letters picked without replacement from {j: 2, h: 4, n: 2, w: 4}?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7113 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 217*j**6\/120 + 49*j**5\/60 - 49*j**4\/24 + 1173*j**2. Let u(d) = 18*d**3 + 4*d**2 - 4*d. What is 4*n(b) - 49*u(b)?\nAnswer: -14*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5 = -0. Let a = 7 - s. Solve 6 = 4*o - a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -266 + 276. Calculate the highest common factor of q and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24 and 24928.\nAnswer: 598272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -110 divided by 110\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*n - 16, 5*n + 10 = c + 2. Let j = -11 + c. Let i = 3.1 - 3. Is i <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*r + 30*r - 3 = 3*v, 0 = -2*v - 8. Let f be (-1 + 3)\/4*0. Suppose 5*o - 2*g + 3*g = 417, -2*o - r*g + 172 = f. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (4 + -14) - (0 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -414, -2 in decreasing order.\nAnswer: 0, -1, -2, -414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 40 = -105. Let j(y) = -9917*y - 32. Is j(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 z when three letters picked without replacement from {z: 9, g: 3}?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Suppose -4 = z - q. Let w = -6 + 3. Put z, -2, w in descending order.\nAnswer: -2, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f + 3 + 0*f + 10 - 2. Let w be r(16). Suppose -l = -9 - 4. Calculate the highest common divisor of l and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.102, 1, -335, 0?\nAnswer: 0.102","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 15*z**2 - 10*z + 1. Let q(r) = -r**3 - 15*r**2 - 11*r + 2. Let o(x) = 4*p(x) - 5*q(x). Is o(-13) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*z + 32, -2*z = 10*u - 9*u + 7. Solve -5*h = 3*k + 5, 5*k + u*h = -2 - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 7*t**2 - 6*t + 1. Let f = -16 + 24. Let h be m(f). Suppose 3*g + g - 2*p - 16 = 0, -h = -5*g + 4*p. Solve -g*k + 6 = -9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p + 11. Let g be 3*(20\/12 - 6). Let l(k) = -k + 5. Calculate g*l(c) + 6*w(c).\nAnswer: -5*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 119 = -274*a + 278*a + 124, 2*u = 5*a + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/17, -2, 1\/4, -0.5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130 and 143.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*n*v*x**2 - 499*n*v*x - 9*n*v + 163*n*x**2 - 2*v*x**2 + 2*v*x + x**2 wrt x?\nAnswer: 18*n*v + 326*n - 4*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 1990 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 43 = 5*l - l, 7 = -l - k. Let v(a) = -4*a - 10. What is v(l)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17398 and 138452.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1430 - 1430. Which is the nearest to 0.179? (a) 1\/6 (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (1\/5)\/(284\/40 + -7) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 + 119. Suppose 0 = -17*j + 761 - t. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 5*h + 270 = 0, 0 = 3*j + 3*h + 2*h + 62 + 28 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1517, -6073, -13663, -24287, -37945, -54637, -74363?\nAnswer: -97123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9373 + -22.\nAnswer: -9395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 652*w - 104883. Determine z(-363).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from yyyynnyyyyyyyynyyy?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 - 40. What is the closest to -3 in -2, 4, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/48 and -149\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**5 + 3*u**4 + 64673969*u**3 - 32*u**2 + 39*u - 28509?\nAnswer: -120*u**2 + 72*u + 388043814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-62)\/(-4) + 1\/2. Suppose -3*b = -5*s + 2*s - 9, 5*b = 4*s + k. Suppose 5*q - 38 = b*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 times 70\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.4220692 months?\nAnswer: 0.02018391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.5, 25\/2477.\nAnswer: 0, 25\/2477, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 4. Let k be (q\/3)\/((-120)\/(-99)). Let y = 3\/10 + k. What is the nearest to y in -2, 2\/13, 0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*l = 3*t - 5, 2*l = 2. Suppose 34 = t*u - 5*o + o, -4*o - 20 = -2*u. Calculate the smallest common multiple of 12 and u.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (299\/(189865\/(-18034)))\/((-4)\/(-10))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 729062694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1844?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4823 - -14330. List the prime factors of u.\nAnswer: 107, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -8*y**3 + 9 - 12 + 3 + 4*y**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109525185.\nAnswer: 3, 5, 7, 11, 73, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 3:25 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.595864 micrograms?\nAnswer: 0.000595864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(4\/7)*x)\/x)**40\/(x**4)**(1\/2))**(5\/3) assuming x is positive.\nAnswer: x**(730\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h. Let l(o) be the second derivative of o**5\/20 + 5*o**4\/12 - o**3\/6 - 2*o**2 - o. Let g be l(-5). What is n(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1619780, 6479123, 14578028, 25916495, 40494524?\n\"Answer: 1619781*t**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18483885449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + -4. Let g = -5 - f. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13220*y - 137278 = 841002 for y.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64966.\nAnswer: 2, 11, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3236.8 + 3237. Which is the closest to y? (a) 1\/6 (b) -2\/13 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 1 = 5. Put -1, m, -0.3 in descending order.\nAnswer: m, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122767*u**2 - 237101*u**2 + 122154*u**2 to the form d*u + x + r*u**2 and give r.\nAnswer: 7820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 10*b + 14. Let u(d) be the first derivative of -d**2 - d + 9. What is u(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 divided by 337312?\nAnswer: -87\/337312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9601914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28565393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*t**5 + 37*t**4 - 3*t**3 - 37*t**2 + 10*t = 0. What is t?\nAnswer: -1, 0, 2\/7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 340149130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**5\/11 - 78*l**4 + 60652*l**3\/11 - 114408*l**2\/11 - 242576*l\/11 + 471360\/11 = 0.\nAnswer: -491, -2, 2, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 at least -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 4*z + 1 = -31, 0 = 3*u + z - 18 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 17*d - 15. Let i be n(6). Let s = 87 - i. Let c be ((-8)\/1)\/2 + s\/10. Let g(k) = -k**3 - 4*k**2 - 3*k - 5. Determine g(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -96*m**3 - 10*m - 14*m + 24*m - 69 with respect to m.\nAnswer: -288*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2)*h)\/h)**(-2\/59)\/(h**(-2)*h\/(h\/(h*h**0*h))) assuming h is positive.\nAnswer: h**(4\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*t**2 + 89*t**2 - 364*t**5 - t - 232 - 54*t**2 wrt t.\nAnswer: -7280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h + 6. Let c(q) = q + 14. Let a(m) = m - 43. Let p(u) = 2*a(u) + 7*c(u). Give 7*g(k) - 3*p(k).\nAnswer: k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/30 - 0)*-10. Let b = 15 + -11. Sort b, s, 2.\nAnswer: s, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 5 - 250*c**3 - 1 - 5*c + 3*c**4 + 249*c**3 in the form p*c**2 + m*c**4 + k + n*c**3 + q*c and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 566*n**2 + 326*n**2 - 773*n**2.\nAnswer: 119*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 24. Suppose -l + q*j + 4 = -4*l, l + 2*j + 2 = 0. Suppose 0 = -l*z - 3*z + 45. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*f + 18 = 0, 0 = -5*w - 5*f - 7 - 3. Is 2\/w*(-296)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.1. Let k = -57\/106 - -2\/53. Let s = -1 - 0. Which is the closest to k? (a) d (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22427, 44368, 66311, 88256?\nAnswer: 110203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - d + 1041 + 107, 0 = 4*b + 5*d - 4593. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1112 = 4*r - 76. Let v = -187 + r. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -12.88. Let x = a + 0.03. Let w = -1.91 + x. Put w, -3\/2, 0.3 in decreasing order.\nAnswer: 0.3, -3\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19260 by 2.\nAnswer: -9630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 21740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 54 = 12*i. Suppose 4*z + 5*m = i + 4, 0 = 4*z + 2*m - 16. Solve -5*b - 15 = -2*h, 6 = -b + z*h + 16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 10*r**2 + 18*r - 35. Determine l(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(6\/11))\/y*y**(-1\/18))\/(y**15)**(-34) assuming y is positive.\nAnswer: y**(101077\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 1:48 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 558386 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2209881308?\nAnswer: 2, 23, 83, 251, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((2\/(-2))\/(11\/11))\/4. Let m be ((-1)\/2)\/(-1 + 0). What is the closest to y in -0.4, m, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 19 - 19. Let k = -221502\/443 - -500. Which is bigger: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + 0*a**2 - 62458 + 62462 - 2*a**3.\nAnswer: -2*a**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3767 = 6*b - 9*b - u, -5019 = -4*b - 5*u. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 4:16 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2)*f*f\/f**(-3)*f*f**(1\/11)*f*(f\/f**(2\/3))\/f)**(-22\/3) assuming f is positive.\nAnswer: f**(-391\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 + 64*t - 202. Determine b(4).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 7 = -4*j, 3*c + 6 = 22850172*j - 22850175*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 18. Suppose -3*f = -7*f - 76. Let g be i(f). What is the second smallest value in 1, g, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 2*t - 1. Let z = 6 - 5. Let g be d(z). Suppose 195 = 3*y - g*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 930 = 7*q. Let r = q - 132. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five sixths of a day in hours?\nAnswer: 220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 195, 390, 585, 780, 975, 1170?\n\"Answer: 195*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/57772 and 24\/275.\nAnswer: 1444300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 199758019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -s + 5*i, -3*s + 21*i - 23*i = 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 121 - 145. Let u = 53 + -29. Let j = o + u. What is the third smallest value in j, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r - 10. What is the units digit of z(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111100111 (base 3) to base 2\nAnswer: 111001011101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5524 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-3)*-27*1\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = t + t - 4, 0 = 3*t - 4*c - 28. Does 19 divide t*(-20)\/(-16)*19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)*1)\/(sqrt(72)*-4))**2 + (sqrt(200)\/(1*sqrt(10)))\/(sqrt(4) - sqrt(40)\/(-1*sqrt(10))).\nAnswer: 5\/16 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1229169 divided by 7.\nAnswer: 1229169\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g*t**5 - 4*g*t + g + 2337066*t**5 + 17*t - 448 wrt t.\nAnswer: -40*g*t**3 + 46741320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d = -77*d - 14*d + 325 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 767381494 to the power of 1\/4, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2551700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7928 + 7929. Sort -6, 0, x, -46, -4 in decreasing order.\nAnswer: x, 0, -4, -6, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4218 + 4323. What is the highest common divisor of x and 3549?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(5*m**3 - m**3 + 3*m**3).\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 114662, 114675, 114696, 114725, 114762, 114807?\n\"Answer: 4*i**2 + i + 114657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11146, -22181, -33124, -43975?\nAnswer: -54734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 + 127. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, f: 6, y: 1, x: 3}. What is prob of picking 1 t, 1 y, 1 x, and 1 f?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276995.278 rounded to the nearest 10000?\nAnswer: 1280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3554 (base 6) in base 4?\nAnswer: 31132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 3*q + 17. Let w(g) = -3*g**2 - 10*g - 2. Let t be w(5). Let a = t - -127. Is b(a) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -734 divided by 367.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1068 divided by -6.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 10, 3, 0.2, -1, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 26 = 56. Let s(a) = 7*a**3 - 2*a**2 - 21*a + 12. List the prime factors of s(h).\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - f + 1 - 4. Let v be n(-3). Let s = 1 + v. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -22) + (-929 - -883)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1 (b) -0.3 (c) -1 (d) 41280\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-12)\/42 + 2041\/182*482?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4417308 to the nearest integer?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60.5 + -60.3. Let u = 17\/4 - 5. What is the fourth smallest value in 0.25, u, h, -2?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 49 - 18)*(-3*h + 3*h + h)*(-h - 1 + 1).\nAnswer: 92*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/2)\/(1 - 2). Suppose -12*a - 42 = -15*a. Let l(j) = 405*j + 11 - 406*j - a. Give l(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + sqrt(18)*-3 + 4.\nAnswer: -9*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1264.6*-1.159\nAnswer: 1465.6714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -87226 rounded to the nearest 1000?\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4472\/884 + (-21)\/28 + (-17)\/4?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -12. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a meter in millimeters?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 - 421*h - 16518. Determine a(244).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1564183\/92 + 17002. Which is smaller: c or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -240\/289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 70*z**2 + 205*z + 269. Let k be o(-67). Let l = -3 - -8. Solve -k = -p - l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2976792299 to the power of 1\/3, to the nearest integer?\nAnswer: 1439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = q - 146, 5*p + 4*q - 103 = 2*p. Let h = 933 - 922. What is the second derivative of p*b**5 + h*b - 25*b**5 - 28*b**5 wrt b?\nAnswer: -320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 - 8*w - 5. Let x(y) = -11 - 4*y**2 - 3*y**2 - 17*y - 2*y**2 + 18*y**2 - 3*y**2. What is 13*a(l) - 6*x(l)?\nAnswer: 3*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24.274 and -1.\nAnswer: -24.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1699321635?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3\/(f\/((f\/f**8)\/f*f))*f\/((f**5\/f*f)\/f)*f**(-1))**(1\/13) assuming f is positive.\nAnswer: f**(-9\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*((-70)\/(-21) + -4). Which is the nearest to -0.1? (a) -1\/4 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88702111 + 49567889. What is f rounded to the nearest 1000000?\nAnswer: 138000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a6 - -386aa?\nAnswer: 38604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 12*l**2 - 18*l + 1. Let s be j(10). Solve -4*x - 3*y = s, 3*x - 5*x - 4*y = 18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -291 in 9, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*3*(-1)\/6)\/(98\/(-28))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1260.3715 and -4748.\nAnswer: -3487.6285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**4\/4 + 5*b**3\/3 + 3*b**2\/2 - b - 7. Is 5 a factor of o(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1431055?\nAnswer: 5, 157, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 1. Let h(z) = -21*z**3 + 28*z**2 - 14*z - 14. Let m(a) = -h(a) + 14*x(a). Find the third derivative of m(w) wrt w.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 g, and 1 q when three letters picked without replacement from {q: 6, g: 11, m: 2}.\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -114 - -572\/5. Suppose -2*h - 3*h = -15. Let u = h + 0. What is the nearest to 3 in u, y, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4095299, 4095304, 4095313, 4095326, 4095343?\n\"Answer: 2*n**2 - n + 4095298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12849052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -2*n**2 + 1. What are the prime factors of d(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(125))*1.\nAnswer: 2 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 592601700 to the nearest 1000000.\nAnswer: 593000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35492405*t - 28638941 wrt t.\nAnswer: -35492405","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 16 - 159*i**2 + 165*i**2 in the form d*i + r*i**2 + x and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -5, 122, -251, -12 in descending order.\nAnswer: 122, -5, -12, -18, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/6 and -3\/796.\nAnswer: 2388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-24 - -19) + 10 + (-7 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14*(-5)\/(-10)*4. Solve -p + 24 = 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**5 - 20*f**4 + 34*f**3 - 16*f**2.\nAnswer: 2*f**2*(f - 8)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -30*y - 900. What is t(-30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-2\/9))**(-12\/17)\/((x**3*x)\/(x\/(x\/x**(-8\/5)))) assuming x is positive.\nAnswer: x**(-1828\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17740.77 years?\nAnswer: 212889.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*u - 18 = r, 0 = -2*u. Let k = -5 - r. Suppose -v + k + 6 = 0. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22021012211001002 - -12?\nAnswer: 22021012211001021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00025118553 to six decimal places.\nAnswer: 0.000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3998 + -3615. Calculate the remainder when r is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4934 is divided by 224?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1748*r + 1. What are the prime factors of y(1)?\nAnswer: 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 11. Suppose h*r - 5 - 5 = 0. Solve r*a + 3 = o - 7, -5*a = 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 240*p*q**2 - 2620*p*q - 69128*q**2 + 17*q wrt p.\nAnswer: 240*q**2 - 2620*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6 = 0, h + 3*h + 2*w = -16. Let q = -3 - -2. Which is the smallest value? (a) q (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -48*r. Let a(o) = -45*o. Let y(d) = -14*d - 1. Let f(x) = a(x) - 3*y(x). Calculate p(f(q)).\nAnswer: 144*q - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 450 = 4*h, -2*h - 325 = 3*j - 57. Suppose 0 = -5*x - 2*u - 867, 0*x - 163 = x + 3*u. Let o = j - x. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114.51 + -108.4. Let p = -6.1 + w. Which is the second smallest value? (a) p (b) 11\/5 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -2*b - 27, -4*k - 41 = -9*b - 172 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*-3*4\/(-18). Let m(l) = -5156*l - 5153. Let q be m(-1). Solve -5*w + q*s = -z*s - 25, 4*s + 22 = 5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a. Let n(g) = -107*g - 4. Let v(c) = -5. Let d(z) = -n(z) + v(z). Determine q(d(k)).\nAnswer: 214*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -498 divided by 166?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of 0 + 17*f**2 + 1\/2352*f**8 + 1\/1470*f**7 + 0*f**3 - 1\/280*f**6 + 1\/84*f**4 - 1\/420*f**5 + 0*f. Find n, given that i(n) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)\/sqrt(4) + sqrt(13))*-3.\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 9 + 3. Let a(r) = -7*r - 6. Let j(m) = m + 1. Suppose -5*b + 27 = 3*s, 3*b = s + 23 - 18. Let t(u) = b*j(u) + a(u). Give t(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -966 - -1013. Let p = -47.082 - -0.082. Let x = i + p. Which is smaller: x or 18?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 6:11 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*-1.294858.\nAnswer: -28.486876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 equal to 217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 13. Solve -3*o + l + m*l = -4, 2*o = 4*l + 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 663*a - 161*a - 156*a - 139*a - 167*a. Let m(w) be the second derivative of -w**4\/6 + 2*w. Calculate r(m(f)).\nAnswer: -80*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.138 or -139469?\nAnswer: -139469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10\/20*72\/(-15)*(-15)\/9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.2 - 10. Let l = -21 + 20.6. What is the nearest to v in l, -0.5, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484004818 to the power of 1\/3, to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200\/100*3\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21170356 to the power of 1\/2, to the nearest integer?\nAnswer: 4601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k = -23*k - 7*k + 2085. Solve 139 - k = 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*k + 58*k + 10. Put k, -0.2, 0.04, -2\/21 in ascending order.\nAnswer: -0.2, -2\/21, 0.04, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - -2*sqrt(1029))\/(sqrt(7) + 3*sqrt(1008)) - (sqrt(36)\/(sqrt(4)\/sqrt(2) + sqrt(2)))\/(sqrt(12)\/(sqrt(6)\/sqrt(3))))**2.\nAnswer: 147\/5476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 354*s - 357*s + 159, -80 = -3*d - 4*s. Solve 5*u = u - 4*k + d, 0 = 2*u - k - 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8489 is divided by 8421.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, 1\/4, 0.5, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -590, -1337, -2388, -3749, -5426, -7425?\nAnswer: -9752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*r - 5 = 0. Suppose 2*c = 4*v + 2, 5*v + r = 3*c + 1. Find the third derivative of d**c - 2*d + 2*d + 2*d**2 + 0*d**2 wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*i = -253*i, 6 = 2*v - 3*i for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1179956.\nAnswer: 2, 294989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y**2 + 1988*y - 5. Let m(p) = 19*p. Determine m(a(x)).\nAnswer: -76*x**2 + 37772*x - 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47514.46 litres?\nAnswer: 47514460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -1.6354.\nAnswer: 0.8177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19204835 by 3.\nAnswer: 19204835\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -1b954c3?\nAnswer: 1b954c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 946 is divided by 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43161030.\nAnswer: 2, 3, 5, 11, 43597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 48*p**2 + 783*p - 1462. Give n(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m*p**3 - 32*m*p*u**3*w + m*u**3*w - p**3*u**3 - 590*p**3*u**2*w + 2*p**3*u*w + p*u**3 + 2*u**3 wrt m.\nAnswer: 3*p**3 - 32*p*u**3*w + u**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 148*c - 745 + 193*c + 225 + 168*c - 151 wrt c.\nAnswer: 509","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q**2 + q**2 + 0*q**2)*(-913 - 876 + 1692)*(-5*q + 3*q + 3*q) to the form s + k*q**2 + o*q + z*q**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3 = -0*b + 3*x, 4*x - 4 = -3*b. Suppose u + u - 34 = b. Suppose -4*r + u = -75. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*x - 478343 - 1780286. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -424 - -606. Suppose -4*f - 3*y = 0, 4*f = 3*f - 2*y. Suppose -9*v + 79 + m = f. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1960)\/560*(-32)\/168*(-24)\/(-2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23714 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*k - 57. Let p = 38 + k. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (153\/(-18))\/(2\/(-16)). Suppose -4*j = -8, -2*k = -0*j - 3*j - m. Calculate the common denominator of -71\/3 and 0 + 1 + (-6)\/((-12)\/k).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 4*(-3)\/(-12). What is v in -2\/5*v + 2\/5*v**3 - 2\/5*v**z + 2\/5 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 611140 + 2?\nAnswer: 611142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2485)\/45 + (-44 - 23084\/(-522))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**3 + 2*b**2 - 11*b + 10*b**2 - 2*b**3 - b**2 + 3 - 2*b**3. Give y(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*v + 2*y - 35, -5*y + 28 = 4*v. Let z(o) = -4*o + 1. Let u(l) = 3*l + 0*l - 2*l. What is v*u(q) + 2*z(q)?\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3943171?\nAnswer: 3943171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/7, -18, -3, 15.57, -4\/5, -4?\nAnswer: 15.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, q: 7}. Give prob of picking 1 q and 2 h.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.70563 + -0.29437. Let n = -10 + 68\/7. Let p = -2.2 + 0.2. What is the closest to -3 in p, a, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32063668 and 17916?\nAnswer: 96191004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t**2 + 3 + 3*t**3 + 0 - 5*t**3 - 6*t**2 + 6*t to p*t**3 + l*t**2 + f*t + v and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(931))*-5 + 4 + sqrt(931)*-2.\nAnswer: -49*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/77 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -135 + 137. What is the third smallest value in -2, c, 2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*x + 13*x + 53*x - 293*x.\nAnswer: -124*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 661 = 6*f - 203. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**7\/630 + 7*j**6\/360 + j**5\/72 - 2*j**3\/3 + j. Let q(v) be the second derivative of c(v). Factor q(m).\nAnswer: m*(m + 5)*(4*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01567213 rounded to 4 decimal places?\nAnswer: 0.0157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 960 + 19*d**2 - 4*d + 6*d**4 + 18*d**2 + 69*d**2 - 103*d**2 with respect to d.\nAnswer: 24*d**3 + 6*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - 0.3. Let i = -3.2 - -3. Which is the nearest to k? (a) i (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**3 + 145*s**2 + 2*s - 145. Let b(h) = h**3 - 72*h**2 - h + 72. Let l(z) = 5*b(z) + 3*w(z). Factor l(c).\nAnswer: -(c - 75)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 112*s**5 + 8116*s**4 + 142518*s**3 - 82084*s**2 - 60790*s - 7872 = 0.\nAnswer: -41, -32, -1\/4, -3\/14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -26. Let s be (2\/(-5))\/(t\/(-30)). Suppose -4\/9 + 2\/3*g - 2\/9*g**s = 0. What is g?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15880 and 104250215.\nAnswer: 1985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 758.3218 minutes to nanoseconds.\nAnswer: 45499308000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -11*(3 - 50\/16)*104\/(-13). Let f(w) = 2*w**2 + 25*w + 14. What is f(b)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55265.\nAnswer: 5, 7, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304474824.\nAnswer: 2, 3, 53, 73, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2395 - -19191\/8. Find the common denominator of 77\/16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -772 + 428. Let d = -198 - b. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 4:40 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000588532 rounded to 5 decimal places?\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11827 divided by 12?\nAnswer: 11827\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -267 + 557. What is the remainder when s is divided by 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 6*b**2 - 4*b - 6. What is l(-4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 16. Suppose 4*j - j + 154 = q*b, 2*j = -3*b + 100. Suppose 3*y - b = 2*y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 191*t**2 - 4007*t - 36. Calculate a(24).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 4*w**3 - 1\/4*w**4 + 3 - 1\/2*w**2 + 14*w. What is the units digit of x(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 108 = 4*g, -g + 8 + 74 = 4*d. Let o = 23 + -33. Let q = o + d. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 + 76 - (-3 + 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 4137 + 135*z - 135*z. Let o be b(0). Suppose 0 = -0*a + 7*a - o. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4421 - 140223032?\nAnswer: -140213111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*h**4 - 205*h**4 - 91*h**4 + (-4 + 4 - 2)*(h**4 + h**4 - h**4) to a*h**3 + c*h**2 + g + d*h**4 + n*h and give d.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10717*y + 4526*y - 10558*y + 3192*y + 257583 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.52 (c) 4\/3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 times -17.7206?\nAnswer: -10579.1982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqaiqiiiiyqqqiiaii. What is prob of sequence ay?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**3 + 4*v**2 - 3*v**2 + 7*v + 4*v**2 - 6*v**2 as f*v**2 + d*v + u*v**3 + q and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32143779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-4))\/(5\/(-10)). Suppose 2*s - 4*g = 44, 0*s = -5*s + x*g + 105. What is the remainder when 38 is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 11*r + 52 = 0. Suppose -40 = 5*k - w - r*w, -3 = -w. Put -4, k, 5 in descending order.\nAnswer: 5, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71553263?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 1. Let z(y) = 10*y + 6. Let m(t) = -3*s(t) - z(t). What is the tens digit of m(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*n - 36*n + 2*n**3 + 77*n - 1 to the form v + k*n**3 + y*n**2 + c*n and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**2 - 3*n**2 + 0*n**2)*(3*n + n - 2*n) + 21*n**2 - 2*n**3 - 23*n**2 + 0*n**3.\nAnswer: 2*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -787337 and 733693.\nAnswer: -53644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, y: 2, v: 3, o: 2}. Give prob of picking 2 y, 1 n, and 1 o.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 34 + -38 + (-2 - 0)\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -180*g - 2. List the prime factors of z(-2).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**3 + 1456*f**2 + 11840*f + 23808 = 0. What is f?\nAnswer: -4, 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 - 1 + 1)*(-2*w**2 + 4*w**2 - 4*w**2) - 2*w**5 + w**5 + 0*w**5 + 0*w**5 + 3*w**5 - 5*w**5 + (-5 - 7 + 0)*(-w**5 - 2*w**5 + 4*w**5).\nAnswer: -11*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27.13 - 27.03. What is the closest to k in -18, -4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**3 - 81*x**2 + 76*x - 142. What is the hundreds digit of r(-45)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 12*w - 19. Let n(d) = 9*d - 18. Let h(s) = 4*j(s) - 5*n(s). Let x = -7 + 3. Let r be h(x). Calculate the greatest common factor of r and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27528 is divided by 133.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9904 divided by -2?\nAnswer: -4952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 147*w**2 + 201*w + 1 - 69*w**2 + 7*w + 43*w - 73*w**2 as j + o*w + z*w**2 and give o.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -933*q - 33. Let f(k) = -113*k - 4. Let r(g) = -33*f(g) + 4*x(g). Let s(v) be the second derivative of v**4\/6 + v. Calculate r(s(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 4303 and 4266 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -148, -215, -264, -289?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 43 = -6*u. Let r(p) = 4*p - 24. Let d be r(u). Solve -2*s + 31 = -2*y - 7*s, d = 3*y + s + 14 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**2. Let l(u) be the second derivative of -2*u**3\/3 + 6*u. What is l(h(i))?\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + h**2 + 2 + h - 1)*(-6234*h - 5921*h + 12433*h).\nAnswer: 556*h**3 + 278*h**2 + 278*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/4)*r\/(r\/(r*r**(5\/3)))*(r*r**(-5)*r)\/((r*r*r**5\/r)\/r))\/((r**1*r**(-2))\/(r\/r**1)**28) assuming r is positive.\nAnswer: r**(-43\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 46. Let q be (-28)\/n + (-1)\/(-3). Which is the smallest value? (a) 2\/3 (b) q (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23 - -51a0?\nAnswer: 5178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdld when four letters picked without replacement from {d: 4, k: 2, l: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -148904c86 - 1?\nAnswer: -148904c87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(4\/3)\/w)\/(((w*w\/(w**(-4\/5)\/w))\/w)\/w))\/(w**(-2\/7))**(3\/4) assuming w is positive.\nAnswer: w**(-263\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 3:10 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 8:19 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**8\/8 + p**4\/4 - 13*p**2 - 2*p - 13. Find the third derivative of g(a) wrt a.\nAnswer: -840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, w: 4, a: 4, c: 1, n: 3, z: 1}. Give prob of sequence wizc.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3400107945.\nAnswer: 3, 5, 13, 2713, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1397*q + 1414*q - 18870 = 0. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 3. Let o be b(0). Let i be 114\/4 - o\/(-6). Let k = -15 + i. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1063791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 + -55 - (-6 + (4 - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1163580 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -240*n + 243*n + 15. Let m(f) = 2*f + 8. Let p(y) = -2*y - 7. Give n*p(h) - 4*m(h).\nAnswer: 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 99644 less than -3?\nAnswer: -99647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 w when four letters picked without replacement from {s: 8, r: 2, p: 5, w: 2}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -21033 (base 4) to base 12\nAnswer: -413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-15)*(-19 - -19). Suppose -15 + 83 = -4*c. Sort 5, w, 4, c.\nAnswer: c, w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 5*n**2 - 2*n - 2. Let q be r(3). Let b be 10\/6*126\/30. Which is smaller: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10043949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, y: 2, b: 1, o: 3, x: 5}. What is prob of picking 1 b, 1 c, 1 x, and 1 o?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 16 - 345*z - 134 - 110 - 90*z**2.\nAnswer: -5*(z + 1)*(z + 4)*(z + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22741, -45394, -67913, -90232, -112285, -134006?\nAnswer: -155329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**3\/3 - m - 3. Let q(x) = -8*x**2 + 7. Let p(a) = -q(a) - 4*t(a). Find the first derivative of p(f) wrt f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-40)\/(-48)*3*-1). What is the second biggest value in -41, 0.15, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 3*m + 62329 - 297351, -5*m = 2*v - 93984. List the prime factors of v.\nAnswer: 2, 71, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 3:17 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - l + 1214, 0 = 8*m - 7*m - 2*l - 617. What is the highest common factor of m and 261?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - 3*l)*(6 - 4 - 3) + (-4*l + 2*l + 4*l)*(0 + 2 + 1 + (19 - 7 + 3)*(1 - 1 + 2)) to g*l + q and give g.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) - (sqrt(63)*2)\/sqrt(9)) - sqrt(7) - (sqrt(63) + -3))*5.\nAnswer: -10*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, j: 1, t: 8, d: 2, e: 1}. Give prob of picking 2 f.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -4*n - 6, -2*n + 5 + 1 = -2*s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*o - 2440 = 179*o + 494*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1631830018622.281437 - -1631829074875. Let p = w + 943748. Let i = -0.719 + p. What is i rounded to 5 decimal places?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**5 - 18891*x**4 - 4724823*x**3 - 14061093*x**2 - 14023296*x - 4668132 = 0.\nAnswer: -238, -1, 6538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - -4*3\/6. Let d = c - 8. Suppose 4*s + 25 = 5*h, -2*s + 6*s + 2*h = -18. Sort s, d, 3 in decreasing order.\nAnswer: 3, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5411312, 5411311, 5411310, 5411309, 5411308?\nAnswer: 5411307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 9) + 11 + 11 + -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 238 and 350.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 508*a + 522*a - 45 - 1029*a. Let x(g) = -5*g. Determine x(d(q)).\nAnswer: -5*q + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, w: 1}. Give prob of picking 2 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/5 - 1455296*s**2\/5 + 582120*s.\nAnswer: -2*s*(s - 2)*(s + 727650)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6533*x + 77701 - 77701)*(-3 + 7 - 2)*(-3*x - x + 4*x - 2*x**2).\nAnswer: -26132*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 1836 = -2*x - 1823, 3*c + 32 = 5*x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*i + 3. Let q(t) = t**3 + 3*t**2 - 2*t + 3. Let j be q(i). Let f(s) = 15*s - 4 + 5 - j*s. Calculate f(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v - 3. Let y(u) be the first derivative of -u**6\/360 + 184*u**3\/3 + 2*u + 69. Let d(c) be the third derivative of y(c). Calculate w(d(h)).\nAnswer: 3*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160, 171, 190, 217, 252, 295, 346?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -197*u + 195*u - 9, -10 = -t + 3*u for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/149 - 307\/1341. Let k = -12 + 12.2. Which is the nearest to 2\/5? (a) 1\/7 (b) k (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*p = 75. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-99)\/24*2*72\/(-9). Let t be (-11)\/(i\/540) + 0\/2. Is -89 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4472 + 4476. Solve -k - g + u = 3, 0 = 5*g + 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvvxvxxvvxvavvvvvv. Give prob of picking 1 v and 2 x.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -900 - -2172. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3084 > 3106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 6*a + 14 - 12*a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.61 to zero dps.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/32*-10*(1768\/17)\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 582573.5 centuries in decades?\nAnswer: 5825735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 127 = -i + 5*r, 0 = -4*i - 2*r + 204. Suppose -i*a - 175 = -54*a. List the prime factors of a.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.25, 4, 0.1.\nAnswer: -0.25, 0.1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.170874 rounded to three decimal places?\nAnswer: 0.171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 84397.5mm?\nAnswer: 84.3975","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -32. Let v be (y\/(-4))\/((-4)\/(-8)). Let h = 94 + -89. Solve v = -0*n - h*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1137, -1176, -1213, -1248?\n\"Answer: f**2 - 42*f - 1096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from {j: 1, z: 1, h: 4, w: 2, c: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.2341738 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 784 and 527824?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-44)\/2*3\/(-6). Let u = m + -11. Let v(w) = 9*w + 3 - 6 - 6*w + w**3 - 3*w**2 + u*w**3. Give v(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**4 + 1076581*g**3 - 4758*g - 1205 wrt g?\nAnswer: -12*g**2 + 6459486*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(104)*1*3)\/(-2*6*sqrt(32)).\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w + 83. Let b be m(26). Let d be 5603\/1365 - 2\/b. Are 5 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r - 5 + r + 2*r + (7 - 7 + 8*r)*(2 - 1 + 1).\nAnswer: 17*r - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppj when three letters picked without replacement from {j: 14, p: 5}?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - j + 10. Let o(b) = -b**3. Determine 2*o(f) + v(f).\nAnswer: -f**3 - f + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 18*m**2 + 12*m + 63. Determine y(17).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11242 + -34?\nAnswer: -11331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 1, 5, -1, -339.\nAnswer: -339, -46, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1064*p**3 - 270*p - 2.\nAnswer: 6384*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374518.\nAnswer: 2, 199, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 532 + 301 + 130 + 9*s.\nAnswer: 9*s + 963","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3913, -3912, -3911?\nAnswer: -3910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226014*i - 65406 = -225023*i for i.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (83\/166)\/((-3)\/(-38)) - 12\/9. Solve 93*a - 3 = 97*a - f*k, 5*k + 7 = -a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m*(m**(-2\/3)*m)\/m)\/m)*m)\/(m*m**(-2)*m))**(1\/14))**(5\/2) assuming m is positive.\nAnswer: m**(10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-5\/4)*d*d**19*d)**(7\/6) assuming d is positive.\nAnswer: d**(203\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2379 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 112611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7643 - 3974. What are the prime factors of g?\nAnswer: 3, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 42008.30615 and -6?\nAnswer: 42014.30615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6782733019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 1532*u + 6.\nAnswer: -1532*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 197 - 87 = 0. What is the remainder when 77 is divided by (k - 95\/(-10))*(-80)\/3?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20.2 + -1. Let j = h + -17.2. What is the nearest to -13 in j, 0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a - 9 + a**2 + a + 15)*(2 - 22 - 18).\nAnswer: -38*a**2 + 114*a - 228","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h. Let a(p) = 134*p + 1. Determine a(z(r)).\nAnswer: -134*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 319 - 319 + 4*b in the form a + y*b and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -309632 divided by -3776?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2932*n**2 - 552*n**2 - 100*n**2 - 322*n**2 + 10154*n wrt n?\nAnswer: -7812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431 a factor of 1511136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 16*x**2 + 61*x + 10. What is g(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 128266, 128640, 129002, 129352?\n\"Answer: -6*f**2 + 392*f + 127880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68 + -66. Suppose 3*z = l*p - 2, -3*p + 3 = -z - 7. Solve -p*u - 2 = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.5 + -1. Let l be ((-1980)\/(-336))\/(-15) + 12\/(-16). Put 0.3, l, f in decreasing order.\nAnswer: f, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 363 + -356. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 10048?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1749310 is divided by 143?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(2*(sqrt(12) + sqrt(24)\/sqrt(2))).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 37534?\nAnswer: -37531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3838957 is divided by 17939.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3*2\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(9)\/(sqrt(27)\/sqrt(9))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5\/4, -5, -6, -35\/2, 10?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57552 divided by -4.\nAnswer: -14388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = c - 1310. Let n = -966 + 1421. Let k = n + c. Is 32 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 7 = -w. Let d = -7 - w. Which is smaller: d or 1\/14?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22575)\/(-1750) - (-1)\/10\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 276 and 569572?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2489.8 - 2457. Let p = 18 - -15. Let v = p - l. What is the closest to -1 in v, -4, -9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -539743135 minus 3.42?\nAnswer: -539743138.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001165 to 7 decimal places.\nAnswer: -0.0000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14440?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*(t\/(t*t\/(t*t*(t\/((t*t*t\/t**(1\/3)*t*t*t*t)\/t*t))\/t)))\/t*t))\/t)**(-21)\/(t**(-1)*t**(5\/4)*t*t))**(1\/27) assuming t is positive.\nAnswer: t**(-401\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -27 + -7 + 3 + -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x\/x**(-1\/3)))\/x)\/x)\/((x*((((x\/x**(1\/4)*x*x)\/x)\/x*x)\/x)\/x*x)\/x)*x**22*(x**(-1\/6)\/x**(2\/3))\/x**33 assuming x is positive.\nAnswer: x**(-167\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Put -34, -735556, -1 in descending order.\nAnswer: -1, -34, -735556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 9*d = -d - 12, 597*d - 16 = 593*d for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2 = -3*n. Let p be n\/8 - 534\/(-8). Let z = 122 - p. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r. Let h(y) = y**2 + 6*y - 6. Suppose 7 = -n - 0*n. Let i be h(n). Give d(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -0 + 5. Sort -2, 5, l, 2.\nAnswer: -2, l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) 965 (c) 17 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 5*r, r = 2*t - 2 - 1. Let o be (-9)\/t + 12\/2. Solve -5 = 2*x + o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 9*s - 61. Solve -3 = 4*o - s*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 593898987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/94905 and 35\/19491.\nAnswer: 616597785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 105*g + 29. What is the tens digit of m(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 420*y**3 + 1817*y**3 - 55*y**3 - 1951 + 115*y**3 wrt y.\nAnswer: 6891*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 8*u + 4. Let i be x(-6). Let w = -5 - i. Let m = 4 + -4. Solve -t + 2*q + 12 = m, 2*t + 2*t - w*q - 23 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20.3, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 + (13 - 23) + -4 + (-38 - -16).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 9*u**3 + 3*u + 4. Let m(b) = -9*b**3 - b**2 - 5*b - 6. What is 3*d(v) + 2*m(v)?\nAnswer: 9*v**3 - 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 40836 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 8. Let k(m) be the third derivative of m**3\/6 - m**2. Let b(w) = -f(w) + 5*k(w). Give b(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 1 (b) -29 (c) 3\/2 (d) 0.125\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-8)*(-2 - (-4 - 10)). Suppose 7 = 3*n + b, k = 4*n + 4*b - 6. Sort -5, n, -2 in decreasing order.\nAnswer: n, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - -6*60\/(-176)*2. Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1301214887?\nAnswer: 7, 185887841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*d - 0*d. Let i be (-18)\/81 - (-58)\/18*1. Solve 0*w + d = i*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60573.\nAnswer: 3, 61, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -25 + 14094?\nAnswer: 14069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 22*o. Let l(j) = -416*j. Let u(t) = -3*l(t) - 56*w(t). Let s(m) = 24*m. What is s(u(c))?\nAnswer: 384*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-4 - (-1 + -6 + -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(4\/19)*p**(2\/9))**(-3\/10) assuming p is positive.\nAnswer: p**(-37\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvwvvbvvw. Give prob of sequence vwvv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -14. Let n(y) = -1. Let l(s) = -4*s**2 + 3. Let t(c) = j*l(c) - 5*n(c). Differentiate t(x) with respect to x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -18. Let y = 0 + d. Calculate the common denominator of 3\/5 + 51\/y and -21\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -1. Let b = 13 + o. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 - 30*p + 44. Calculate the remainder when 59 is divided by n(-16).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5743069 rounded to 3 decimal places?\nAnswer: -1.574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -0.5, -71\/6, -3, 1\/67, -1\/3?\nAnswer: -71\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvjfvnnvnv. What is prob of sequence nn?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.46 + 0.46. Suppose -4*z - 170 = -2*j + 3*j, -3*z - 132 = 3*j. Let a be (-24)\/z*(-21)\/(-18). What is the smallest value in a, 0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101011000101001 + 11111100?\nAnswer: 11101011100100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.04, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6012 - -8851. Is 41 a factor of 6\/(-8) + h\/68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/(-184)*(-8)\/(-16). Sort z, -5, 3\/5, -1\/8 in decreasing order.\nAnswer: 3\/5, z, -1\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v. Let k(r) = 3*r. Let j be ((-24)\/84)\/(1\/(-14)). Suppose -5*n - 3*q = -30, j*n + 8*q = 3*q + 37. What is n*k(l) - 4*z(l)?\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 121 from 15.458.\nAnswer: -105.542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2014280 by -2722.\nAnswer: -740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -1\/6*s**3 - 1\/5*s**6 + 0*s**2 + 0*s**5 + 0 + 0*s**4 - 5*s. What is the second derivative of f(g) wrt g?\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjzz when four letters picked without replacement from {j: 3, z: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -0.1. Let o = 2 - 9. Let j = -11 - o. Which is the closest to r? (a) 4 (b) j (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 5. Let z(g) = g - 6. Let x(n) = n**2 - n + 1. Let f be x(3). Let w(j) = j**2 - 5*j - 8. Let o be w(f). Calculate o*k(h) + 5*z(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(1\/2)*k))**39\/(k**(4\/3))**(-2\/7) assuming k is positive.\nAnswer: k**(-803\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.13252 + -0.22742. What is the nearest to -0.1 in h, -2\/7, 2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.611175 to two decimal places.\nAnswer: -11.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/9)\/((-4)\/(-18)*6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.05 (b) -1\/17 (c) -2 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -16 + (4 - 3). Let y(d) = d. Let o be y(2). Let h be n\/(-4) + (-1)\/o. Solve k + 4 + 11 = 3*q, 3 = h*q + 3*k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*j - 185 = -6*j, 3*o + 5*j - 551 = 0. Let t = o - 119. What is the highest common factor of t and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4977.7 or -35\/51?\nAnswer: -35\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q**(1\/12)\/q)))\/q)**23 assuming q is positive.\nAnswer: q**(-253\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 3:01 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 31*y + 11. Give n(2).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 354, 1362, 3088, 5526, 8670?\nAnswer: 12514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 2662583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 24 + (-3 - -75) - (12 - 26)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 358 + -362. Put -2, v, 3, 4 in increasing order.\nAnswer: v, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2068 and 1880.\nAnswer: 20680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/196, -1\/3, 0.6, 28, -0.1, -3, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 4 (c) 1 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.224 minus 55.2?\nAnswer: -54.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -71*k + 4. Let l(b) = -109*b + 6. Let n(t) = 2*l(t) - 3*m(t). Let u(z) = 9*z - 4 + 4. Give u(n(h)).\nAnswer: -45*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -931115520 divided by -67355\nAnswer: 13824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -145 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/6 + (-812)\/435?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 73440 and 1772250.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10576 and 15091952.\nAnswer: 15091952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46236294 and 12?\nAnswer: 92472588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44252.244s in days?\nAnswer: 0.51217875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -105850 greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 4*s + 6. Suppose -v + 3 + 2 = 0. What is the units digit of p(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42138 to the power of 1\/2, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1031, 1992, 2955, 3920, 4887, 5856?\nAnswer: 6827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8*114\/(-171)*(-3)\/(-16)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -9*h + 2. Let w be v(-2). Suppose 5 = 6*i - 103. Let y(z) = 37*z - i*z - w*z. Let b(p) = -7*p. What is b(y(q))?\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.25394539 - -11.44606071. Let k = -11.7 + f. Round k to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Suppose 3 = -3*p - 3*n + 36, 22 = 2*p + n. Calculate the remainder when p is divided by (-1)\/(y + 3\/(-18)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -17*p + 9. Let b(y) = 8*y - 4. Let g be 2\/(-6) + (-57)\/(-9). Let r(h) = g*u(h) + 13*b(h). Determine r(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 7*c**2 - 6*c - 5. Let j be a(5). Let n be (-10)\/j + 104\/3. Let i = 49 - n. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*v - 58, -3*p + 2*v + 25 = -21. Suppose m - 3*c = -3188, -3*c + 0*c - p = 0. Round m to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/((-3120)\/1020))\/(3\/(-9)*-1)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 2*m + 8. Let n(g) = -g**2 + 7*g. Let w be n(10). Let s be (-18)\/(-135) + 154\/w. Is i(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2809334l in millilitres?\nAnswer: 280.9334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2930605 a multiple of 637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2221 (base 5) to base 7.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 2. Suppose j = 3*i - 11 + 32, 4*i + 26 = j. Let d = j - 4. Let q be p(d). Solve q = 4*r + 23 - 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0038174 to five dps.\nAnswer: 0.00382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 22 + 22 - 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u*u**(-6\/5))\/u)\/(u**6\/u))\/(u**(-2)\/u)**(-9\/5) assuming u is positive.\nAnswer: u**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6645 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 - n - 2. Let a be k(-1). Let i(m) = -5*m + 6*m**2 - 19*m**2 + 8*m**2 + 2*m + 6*m**2. Give i(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.2 in 0.1, 13, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 + (7 - 3) - (-1 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*n. Suppose -b - 6 = -3*b, -m - 4*b + 45 = n. Calculate the remainder when m is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -507.6 * 0.4853.\nAnswer: -246.33828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/5)\/(-1)*220\/66.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*z - 5, 16 = 3*h + 2*z. Let j(x) = -x**3 + 9*x**h - 8*x + 3 + 2 + 0. What are the prime factors of j(6)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -k - 1, x + 3*k + 17 = 6. Let n be x\/6*-3*6\/(-2). Is n greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 3. Let v be q(12). Suppose v*b = 4*b + 60. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -40 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5998*m**4*t - 15*m**3*t**3 + 1853*m*t**3 - 5 wrt m.\nAnswer: 71976*m**2*t - 90*m*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11469 is divided by 479?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/91*(-78)\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(192))*2)**2 + ((sqrt(1152)*-1 - sqrt(1152) - sqrt(1152)) + sqrt(1152))\/(sqrt(240)\/sqrt(10)).\nAnswer: -8*sqrt(3) + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/10 (b) 1\/2 (c) 1\/4 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/3967 in -40, -142, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**4*r*v - 4730*i**4*r + i*r + 6*i*v - 6*i + 48*r*v - 3*v wrt i.\nAnswer: -24*i**2*r*v - 56760*i**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3065112 < -3065088?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 662 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8*l**3 - l. Let x be w(-1). Let g = 10 - x. Solve 19 = 4*u - g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 820 is divided by 210.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.446 - 7.946. Let w = 44\/69 + 2\/69. Which is the third smallest value? (a) w (b) 4 (c) -2 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 207 - 114. Let v = 751\/7 + n. Suppose 4 = -4*b + 8. Are b and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3328, 6771, 10216, 13663, 17112, 20563, 24016?\nAnswer: 27471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65\/28 + -18\/7. Which is the nearest to n? (a) -1 (b) -4\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14\/(-4))\/(3\/(-6)). Suppose 17*m = 7*m + 130. Suppose r - c = -v, c + m = -r - c. Do r and 2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 111 - 48. Let u = 97 - o. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2120 = -92*a + 648 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -9. Let n be (1\/(-2))\/(16\/192). Let c be (2\/(-7) + (-16)\/42)*n. Solve -c*p = -p + s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1888802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/6*8\/2. What are the prime factors of i\/(-4) - 78\/(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288804421 is divided by 8726.\nAnswer: 8725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/33 and 107\/60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-15 - -14) + -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**4\/4 + 67457*u**3\/4 - 568822719*u**2\/2 + 284360768*u + 568788992 = 0.\nAnswer: -1, 2, 33728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 i when two letters picked without replacement from {i: 1, k: 1, a: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 10 = -90. Suppose c = -4*c + d, 0 = v + 5*c - 11. Which is smaller: -10 or v?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203 (base 14) to base 2\nAnswer: 110001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 37, -4, -2, -1, -0.8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 e, and 1 g when three letters picked without replacement from eeegkekvvko?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4492754 - -4492753.96900027. Let z = 0.031 + n. Round z to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (2 + -1) - (-25 - -20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -226 + 113*w**2 + 400 - 112*w**2 + 264*w**6 wrt w.\nAnswer: 31680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3428, 5134, 6848, 8570, 10300, 12038, 13784?\n\"Answer: 4*p**2 + 1694*p + 1730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10328420.5 and 14.84?\nAnswer: 10328435.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -377782264*y**2 + 6611*y + 33416 wrt y.\nAnswer: -755564528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/90692 and -39\/1055012.\nAnswer: 83345948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 813*p**2. Let h(i) = -i + 20. Determine h(m(a)).\nAnswer: -813*a**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 2*p**2 + 9*p - 9. Let k(f) = f**2 + 4*f - 4. Let v(g) = 5*k(g) - 2*u(g). Let w = 18 - 17. What is the least common multiple of v(w) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 884142 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11000 (base 2) to base 6\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*5*sqrt(400)*6)\/((sqrt(320)\/sqrt(160))\/(-3*sqrt(100))))**2.\nAnswer: 4050000000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 713201*n**4 - 44917*n**2 - 1?\nAnswer: 17116824*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2 = i, -12*i + c - 7 = -16*i. Differentiate -8*v**4 - 142*v**i - 297 + v**4 + 45 + 5*v**4 wrt v.\nAnswer: -8*v**3 - 426*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14044340 (base 5) to base 4.\nAnswer: 203011220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 19 + 45 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -801.422 (c) -5 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.017*-0.3.\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 88803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123827 divided by 11257.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**2 + 14*y**2 - y**2)*(9*y**3 - 4*y**3 - 3*y**3).\nAnswer: 38*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 31 - 41 = 0. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/29)*q*q*q**(-11\/8)\/q)**(-34) assuming q is positive.\nAnswer: q**(1071\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 4. Let c = t - 4. Solve 2*u - 6 + 0 = c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 7:34 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1443959 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 11*w**2 - 14*w. Let u = -1 - 0. Let l be (-3 - u)*6\/(-4). Suppose -l = -p - 0*p. Let x(c) = -4*c**2 + 5*c. Determine p*o(k) + 8*x(k).\nAnswer: k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 4*s + 48 = 80, -3*s = 26*d - 24 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 4:02 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -244 - -463\/2. Let n = 77\/6 + q. Factor 0*o + 4\/3 + n*o**3 - o**2.\nAnswer: (o - 2)**2*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3336 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1*(-6)\/(-3))\/(-2). Let g be 49 - -1*(2 - s). Let j = -11 + g. Calculate the greatest common factor of 13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121 + -120. Which is bigger: f or -4\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 23, 114, 273, 500, 795, 1158?\n\"Answer: 34*u**2 - 11*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -646?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 47 + g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 4*k + 4. Give j(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 161 and 368.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 588584*w + 1765734.\nAnswer: 2*(w - 294289)*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36.3 + 6.3. Let z = 0.084 - 15.084. Let i = y - z. Is i less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 612889744?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 - 4*n + 7*n - 4*n**2 + 2*n**3 - 1 - 5*n**3. Let o = 75 + -80. Determine g(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 9*g**3 + 9*g + 5. Let m(o) = 8*o**3 + 10*o + 4. Let p(i) = -5*m(i) + 4*v(i). What is the second derivative of p(z) wrt z?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 14\/69 (b) -4 (c) -3 (d) -1\/4 (e) 694\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 12:39 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -13 + -3*338\/(-78). Factor 0*m**2 + 0*m + z - 2*m**4 - 2\/3*m**5 - 4\/3*m**3.\nAnswer: -2*m**3*(m + 1)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -6774?\nAnswer: 6772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -208\/5. What is the biggest value in -2\/7, 4, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -9 - (2 + -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 14 - 244 = c, -3*c - 150 = -3*m. What is the remainder when 45 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 3:08 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1933 - -2751. What is the remainder when h is divided by 45?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0073 in -2\/5, 0.2, 5, -9\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14940?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 49a749 (base 13) to base 6\nAnswer: 101501151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 1\/5, 4, -63 in ascending order.\nAnswer: -63, -2\/3, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d - 150 + 10. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2644 - 301 = -213*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*249073.3.\nAnswer: 12453.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 67433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 32, 60, 88?\n\"Answer: 28*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/715 - -1427\/2145. Let p = -26.3 - -26.02. Sort -1\/3, p, n, 0.\nAnswer: -1\/3, p, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1. Let l = 25.8 - 23.8. Let p = -3.93 - 0.07. What is the third smallest value in s, p, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/673158 + 3063205481\/1346316. Let y = b - 2298. Calculate the common denominator of ((-333)\/165)\/((-4)\/(-10)) and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 2*f**2 + f + 1. Let q be t(-3). Let d = -7 - q. Does 12 divide ((-2)\/d)\/((-2)\/120)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2376 and 339876.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -197 or -1579\/8?\nAnswer: -1579\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(1\/8)*l*l)**(-6\/25))**(-2\/17) assuming l is positive.\nAnswer: l**(99\/850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3959980 is divided by 705.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0) + -2 + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 11:46 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + a + 14 = -43, 0 = 2*w - 5*a + 142. Let f = w - -96. Let r be (-6)\/(-15) + (-24)\/f. Which is bigger: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -226*p*u**2 + 2*p*u - 856*u**2 wrt p?\nAnswer: -226*u**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72350.47 litres in millilitres?\nAnswer: 72350470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 25 = -3*c - 3*n, 0 = -3*c + 5*n - 3. Is 19 a factor of (3\/(12\/(-80)))\/(c\/(-38))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 3\/4, 0, 4\/13, 441?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 greater than or equal to 99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240278 is divided by 618?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*k, -13784 = 3*r + 5*k - 104757. What are the prime factors of r?\nAnswer: 2, 59, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 178909727\/1358 + -131745. Find the common denominator of c and 9\/4.\nAnswer: 2716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5609613.\nAnswer: 3, 1869871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (2 - -15)) + -1 + -2 + 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (1 - -1)\/(40\/55). Solve 1\/4*l**2 - p*l**3 + 1\/4*l - 1\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1331810334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*g + 41*g - 10. Solve -4*s + 20 = 0, g*m - 1 = 4*m - s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 371960352 and 946464?\nAnswer: 371960352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 9*b**2 + 54*b + 256. Calculate f(-7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = -s + 88 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-4)\/16*100\/(-75)). Suppose 7*z - 3*z = 16. Sort -27, -4, z, i in ascending order.\nAnswer: -27, -4, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 9*a**2 - 10*a - 5. Calculate c(9).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 31 = -2*f - 11, -f = -2*s + 20. Let v = f - -69. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/6 - 2\/(-12). What is the closest to -1 in -0.1, -2\/3, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/250 and 97\/4040.\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7752.54 - 7653. Let o = 90 - t. What is o rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1662 = 33*j + 5536 - 2620 for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/3107042 - 8002186589\/254777444. Let t = p - 14\/41. Let a = t + 32. Which is greater: a or 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 72.02 or 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-5))\/(38\/(-95)))\/(-15).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 2*q**2 - 6*q - 12. Determine f(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -2*g + 44 - 54, -3 = 5*g + 12*c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 83*r**2 + 97*r + 1097. Determine s(-84).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d + 7. Let k(z) = -2*z + 3. Give -5*k(q) + 2*t(q).\nAnswer: 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37\/18 - 17\/9. Sort u, -5, 5, 1\/7 in increasing order.\nAnswer: -5, 1\/7, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**3 - p. Let u be q(1). Let w(y) = 2 - u + 2*y. Let k(x) = 3*x + 3*x - 4*x - x. Calculate k(w(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 799 divided by 4?\nAnswer: 799\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28.915 + 0.5.\nAnswer: -28.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 3.3. Let x = -10919 - -10859. What is the closest to 1\/4 in t, -0.4, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*h*w**2 + 13*h*w - 5*h + 2897*w**2 + 3 wrt h?\nAnswer: 15*w**2 + 13*w - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2) + -27 + 18 - (30 + -29).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.35 + -0.15. Suppose -3*c = -5*l - 0*l + 11, 9 = -4*c + l. What is the closest to i in c, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -205 - -5?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27229*a = 6464*a - 396021 - 642229 for a.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1264 and 4020784.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52*68\/(-442)*(-28)\/(-5264).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-495)\/(-36) + -14)\/(29\/(-8))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/4 - 17582419*c**2\/4 + 17582416*c - 17582415.\nAnswer: (c - 17582415)*(c - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -37936 divided by 11128?\nAnswer: -4742\/1391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*j**2 + j**2 + 3*j**2 + 6*j**2 in the form l + g*j + u*j**2 and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a century in months?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(5929)*1 - sqrt(49) - -1*sqrt(2401))\/(-1*sqrt(1008) - sqrt(28)\/sqrt(4)*-3) + 4)**2.\nAnswer: -68*sqrt(7)\/9 + 2347\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/9)*p**(2\/11))\/(p\/p**(-3\/7))**(-28) assuming p is positive.\nAnswer: p**(4066\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2891096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110011 + -1010110110?\nAnswer: -10100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 8*u - 4. Give k(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**3 - 4*l**2 + 3*l - 3. Let w be o(2). Solve -u - 7 = -w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3719*s = -1884*s - 1890*s + 2200 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1273 divide 3406548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1397\/372 - -1\/186. Let h = w - -7\/2. Which is greater: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) 248 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = 13*h + 57. Let p be (h\/(-15) + 4)*115. Suppose 5*s - y = -0*y - 22, 4*s = -y - p. Which is the biggest value? (a) -0.06 (b) s (c) 5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 65713554 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k\/k**(2\/21)))\/k**(-15))\/(k**(-3))**(-26\/5) assuming k is positive.\nAnswer: k**(52\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 20303615?\nAnswer: 20303610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1950.00001383 + 1950. Round z to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(99))\/sqrt(3))\/(-3*sqrt(11)*-2)*-6.\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 120, 394, 924, 1794, 3088, 4890?\nAnswer: 7284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = -2*x - 13*a + 10, 5*a = -5*x + 60 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 318, 2\/533, 1, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000030143362 to 7 decimal places.\nAnswer: -0.0000301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -537 in -82, -8, -0.02?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + sqrt(117) + sqrt(117)))**2.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3)*l**(5\/2)*l**(-1\/15)\/(l\/(l*l\/l**(-2))))**(-5\/3) assuming l is positive.\nAnswer: l**(-143\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -236, 49, 560, 1303, 2284, 3509, 4984?\nAnswer: 6715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 2)*(-3 + 3 - 3)*(-320*h**3 - 103334 + 103334) to the form z*h**2 + r*h**3 + f + v*h and give r.\nAnswer: -2880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.077, -2657, 3, -0.31?\nAnswer: -2657","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70062.1227804 - -520.6573236. Let s = f + -70616.78. Let y = -34 - s. What is y rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4914 - -4972. What is the remainder when 127 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(24\/4))\/((-26)\/208*22)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bboo when four letters picked without replacement from {o: 14, b: 4}?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(275) + sqrt(275) + sqrt(275))*-1 + -1*((sqrt(275) + -4 - sqrt(275)) + sqrt(275)))*2)**2 + -4.\nAnswer: -800*sqrt(11) + 27560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 195*r**2 + 110*r + 896. Is j(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ca when two letters picked without replacement from ccaccacccc.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 690 + -380. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7410953\/7 equal to -1058708?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 5*o**2 + 2*o + 5. Suppose 95 = 20*j - j. Calculate s(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -8. Find the second derivative of -q**2 + q**2 + b*q + 20*q**3 - 29*q**3 wrt q.\nAnswer: -54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 25. Suppose -b + 5*h - 17 = -2*b, b - a*h + 13 = 0. Factor -b*y**4 + 0*y**2 - 4\/3*y**3 + 10\/3*y**5 + 0*y + 0.\nAnswer: 2*y**3*(y - 1)*(5*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (59\/(-15) - -4) + (-4)\/10. Let p = 0 - 4. What is the nearest to t in -1\/4, p, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6967650992.\nAnswer: 2, 547, 796121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzzzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010706972 to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -177, 6\/7, -462.\nAnswer: -462, -177, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*((-59200)\/288)\/74?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -313 (base 12) to base 6\nAnswer: -2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-3 + 4 - 0)) + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*y + 23067 = 490*y for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and 0.01058.\nAnswer: 0.19044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187173 and 822967?\nAnswer: 2971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + -18bbc8?\nAnswer: -18bc04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/353822 and -139\/4340?\nAnswer: 109684820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13100200032 (base 4) in base 14?\nAnswer: 377526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00077927 to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -15157.2466 take away -670974?\nAnswer: 655816.7534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.58921 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43)\/(10879\/46)*(-2)\/1*1\/(-8).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -124 + -20. Let q = 229 + t. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 + -200 + 4 + 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7825822 + -5326?\nAnswer: 7820496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 161\/24 or -1043\/17?\nAnswer: 161\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -489*s**2 - 4*s + 1. Let k be w(-3). Let z = k + 7423. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 9*a + 90. What is n(-18)?\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/8*15\/135*6)\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*w, 5*w - 1070 = 7*j - 11*j. Solve -j + 266 = -6*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1348, 1352, 1366, 1396, 1448, 1528?\n\"Answer: n**3 - n**2 + 1348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 247922 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*t - 4 = 0, 5*l - 19 = 7*l + 3*t. Let k be (-12)\/15*5\/l. Let c be 32\/(-210) - (-30)\/105. What is the third smallest value in k, c, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -900*f**6 + f**2 + f - 1448 wrt f?\nAnswer: -108000*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**3*s*s)\/s**(-18\/5))**(-6\/13) assuming s is positive.\nAnswer: s**(-258\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 46125 (base 12) in base 7?\nAnswer: 536360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 41\/2 - ((-4473)\/(-126))\/71?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -741 - -125.2?\nAnswer: -615.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2578 - -3712. Let z = -126 - -800. Let l = z - f. Round l to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.841 - -141.811. What is h rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.123 and 493921.36.\nAnswer: 493921.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (1 - -5)*(-20)\/(-12) and (-2)\/(-1) + 1*4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5 = 5*u - 11, -2*h + 2*u = 12. Let s be (5\/20)\/(39\/24). Which is the second smallest value? (a) s (b) -18 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2298.4363258 and -5.\nAnswer: 2293.4363258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 2*b - 30, -b = 2*j - 0*j + 6*j - 297 + 396 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 20 = u. Let w = -1 + -3. What is the units digit of 9\/w*u\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s = 1728 - 1882 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 93, 127, 159, 189, 217, 243?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -d - 5*p, -4*d - 1 = -5*p + 2. Let b = d - -10. Let u be ((-3)\/10)\/((-45)\/(-12) - b). What is the biggest value in u, 3, -4, 1\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -216.\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1164\/7 - 23273\/140. Let s(p) be the second derivative of 0*p**2 + 1\/4*p**4 + 0 + 6*p - l*p**5 + 1\/6*p**3. Calculate s(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((65\/78)\/((-1)\/2))\/(-113 + 103). Determine b, given that 3 - 2\/3*b**3 + t*b**5 + 2\/3*b**4 + 1\/2*b - 11\/3*b**2 = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254.196684 minutes in weeks?\nAnswer: 0.025217925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, z: 4, x: 3}. Give prob of sequence xa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from itzcizi. Give prob of picking 1 c, 1 i, and 1 t.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 4*g**2 - 7*g + 5. Let a be x(5). Suppose 0 = -4*d - 41 - a. What is the units digit of 1 + 0 - (d + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6755\/(-280) - -24 - (-66)\/1680.\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = d - 323995, -4*d - 85760 = i + 76260. What is i rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136150 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 63480781939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3240 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhp when four letters picked without replacement from {h: 6, p: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/132288 and 7\/2288?\nAnswer: 1455168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -24*q + 28*q. Suppose 2*u = -3*h - 2*h - 10, 20 = -3*h - q*u. Let r be -3 - -7 - (2 - h). Solve 20 = -2*j - r*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4694027 is divided by 1902.\nAnswer: 1793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 4*v - 155. Calculate the remainder when v is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 14327*x**2 + 7 - 10619*x**2 - 5.\nAnswer: -24946*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 746521328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrjjjrjrrrjrrrrrrr. Give prob of sequence jjrr.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(20)\/(sqrt(20)\/sqrt(5)) + sqrt(625)\/sqrt(5))**2 + (-2*(sqrt(80) + (sqrt(80) - (sqrt(80) - (sqrt(80) + 1 + sqrt(80))))))**2*2)*4 + -1.\nAnswer: 3840*sqrt(5) + 118959","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2*(9 + -8))\/1*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*sqrt(11) + 2*sqrt(99).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 229 - 229.1. Which is the nearest to i? (a) -26 (b) 4 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -220*x**2 + 879*x**2 + 530*x**2 + (-x**2 + 0*x**2 + 0*x**2)*(6 - 4 + 1) - 5*x**2 + 4*x**2 + 2*x**2.\nAnswer: 1187*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.8 + 1.8. Let t = n + 2.78. Let s = t + -1.78. What is the second smallest value in s, 0.4, -7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 2*n - 2*n)*(n**2 + n**2 - 3*n**2)*(-6 + 3 + 0) to v*n + f*n**2 + c + w*n**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 3420?\nAnswer: 37620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -24. Let p = -59 - -4. Let v = 81 + p. Calculate the remainder when v is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 5) to base 2\nAnswer: 100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19 + 2a?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -249. Let h = s + -248.3. What is the second smallest value in -0.5, h, 7, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r - 16. Let n be s(0). Let m = 7 + n. Let b = 101 - m. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 - 252*w + 1361. Determine s(6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 74*g**2 + 10*g + 20. Let l(h) = 75*h**2 + 11*h + 20. Let j(n) = 6*l(n) - 5*r(n). Let t be j(-5). What is t rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 14*r. Let l(k) be the second derivative of -11*k**4\/12 - 98*k. Calculate l(z(t)).\nAnswer: -2156*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/3 - 25699*v\/3 + 2735330\/3.\nAnswer: -(v - 106)*(v + 25805)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16333311 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 t, and 2 n when four letters picked without replacement from {t: 2, n: 2, o: 1}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t + 13. Calculate y(11).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6) - 5\/(-3). Let m = 2338 + -2338.4. Which is the closest to 28? (a) 0.2 (b) w (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 203057444, 406114886, 609172328, 812229770, 1015287212, 1218344654?\n\"Answer: 203057442*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 184 + 0*n + 4*n + 93 + 5*n + 95. Calculate p(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33*10\/(-270) + (-2)\/(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, -9\/386, 0.4, 82, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 501763673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 10:56 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 7:32 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -303*s**3 - 6*s**2 - 368*s - 1876. What are the prime factors of m(-5)?\nAnswer: 3, 17, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 1. Suppose 0 = -2*o + 6*o. Suppose o = l - 6 + 3. Calculate g(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 3:24 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2656\/3, 0.2, 1\/2, 3\/5, 9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22695 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11562 and 130708.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4442668, -8885329, -13327990, -17770651, -22213312, -26655973?\nAnswer: -31098634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2202 - -0.22015451. What is c rounded to 6 dps?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136506438 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*u**2 - 40*u**2 - 4*u**2.\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 317 = 365. Let c = -340 - q. What is the second smallest value in 4, 1.3, c, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30*5\/((-25)\/(-2)) and -2*(12\/22 + (-186670)\/605)?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*n - 2693 = -7379, 4672 = 2*z + 3*n. Suppose -5*c - z = 1261. Round c to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9963 >= 9963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + b. Let y be c(-1). Solve -2*x + x = y, 12 = 4*h + x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5009176*d**4*m + 12*d*m - 33700*m - 2259 wrt d?\nAnswer: 20036704*d**3*m + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 4*p**2 + 4*p. Let a be t(5). Let y = -4.614 - -4.914. What is the fourth biggest value in y, 1\/3, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -564, -0.5, -0.1, 5, -8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -380*c**5 + 2*c - 42?\nAnswer: -7600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*2\/((-4)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 5*a - 1. Let n(t) = -t**2 - 5*t. Let w be n(-4). Suppose w*q - 20 = 16. Suppose 4 = q*i - 10*i. Give f(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 207351 or 207401?\nAnswer: 207401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1571 divided by 4\nAnswer: -1571\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(1\/14)*a))\/(a\/(a\/(a\/(a\/a**(-13))))))\/(a**(-2\/9)*a*a\/a**(-11)) assuming a is positive.\nAnswer: a**(19\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/4, -5, 0.4, -16?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20716 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 851221701 and 9012?\nAnswer: 2253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*u**3 + 6*u + 984 wrt u.\nAnswer: 81*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 522100197 to the nearest integer?\nAnswer: 22850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((18\/(-24))\/((-9)\/(-24)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 5. Let f = u - -3. Let b(k) = -3*k + 0*k - 2*k + 4*k + f. What is b(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 524840 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 20 = 5*v, 3*a + 9 = 4*v - 7. Suppose -3*f + 243 = b + f, -2*f + 2 = a. Let s = b - 154. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 125430*v + 3*v**2 - 2 + 125274*v to h*v + s + f*v**2 and give h.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4111 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -903 - -903. Let t(g) be the second derivative of 12*g - 3\/5*g**5 + 0*g**2 + 0*g**3 - 1\/3*g**4 + m. Find the third derivative of t(y) wrt y.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from {f: 3, d: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20.03 (b) 5 (c) 6\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576 = -43*k + 25*k. Let j = 0 - 0. Solve -y + 3*h + 0 = -12, j = -4*y - 4*h - k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 36585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 11 - (-1 + 3). Let x = 43 - r. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4 - d + 1 + 0*d + 0*d. Let j be g(-5). Solve j*n = n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaeaaae. What is prob of sequence ea?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 3640757.9?\nAnswer: 728151.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28821 + -18864. Let t = -4868 + r. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 5:41 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23331 + 23331. Solve 9*f + 13*f = w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3230 - -3232. What is the nearest to w in -7.5, -5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.523 less than -21579480.39?\nAnswer: -21579520.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/6 of a decade?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) -2 (b) -4 (c) -3517\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/(-15) + (-69)\/(-207). Which is the closest to q? (a) -1 (b) 5 (c) 7\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**2 - 7*c + 6. Let n(h) = -2*h**2 + h - 15. Let j(o) = -11*o - 47. Let r(k) = -j(k) + 4*n(k). Give 6*r(d) + 13*u(d).\nAnswer: 4*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -353*z + 2. Let r(i) = -i. Determine r(b(w)).\nAnswer: 353*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 a multiple of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 88450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 17. Let l = -6 - -4. Let m = u + l. Is -0.3 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 567 = c, -4*l + 2*c + 336 = -l. Suppose 27*m - 30*m + l = 0. Calculate the remainder when m is divided by (4\/(-5))\/((-2)\/25).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 65 = -0*i - i, -t = 3*i - 11. Suppose -2950 - 1812 = -142*p + 1060. What is the remainder when p is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, v: 10, p: 1}. What is prob of picking 1 v and 1 p?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**2 - 4*w - 3. Let d = -19 + 33. Suppose d*j + 4 = 16*j. Let r be g(j). Solve -r = -2*c - 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 10:49 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15220*y - 7625*y - 7589*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q**2 - 1. Let j(n) = -14*n**2 - 2. Let a(w) = 4*j(w) - 9*z(w). Let b(t) = t + 1. Determine -a(k) + 2*b(k).\nAnswer: 2*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, 1 in increasing order.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -124*n + 127*n + 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 58*d - 353. Let s be x(6). What is the closest to 1 in s, -1, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.28 + 1.58. Let i = k + -0.3. What is the closest to 0 in 5, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3986*k**2*l + k*l - 32623*l with respect to k.\nAnswer: 7972*k*l + l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 - -836?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 637 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31\/13 - 3)\/((-15)\/39).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14523, 14527, 14511, 14469, 14395, 14283, 14127, 13921?\n\"Answer: -z**3 - 4*z**2 + 23*z + 14505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**2\/6 + 345*t\/2 - 518\/3 = 0.\nAnswer: -1036, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.2724 + 2.18. Let i = -0.4076 + r. What is the third biggest value in -6, -0.9, -3\/4, i?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = -22*d + 33992. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 133 - 663\/5. Let y = 0.2 - 0.7. What is the closest to 1 in y, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35912 - 3*t**2 - 36248 + 2*t**2.\nAnswer: -t**2 - 336","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-948)\/(-9) - 1\/3. What is the greatest common factor of p and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8367599 rounded to the nearest 10000?\nAnswer: 8370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.09 and 239290607367?\nAnswer: 239290607366.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*r**3 + 2383*r + 2766 wrt r.\nAnswer: -6*r**2 + 2383","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 5. Suppose -a = -v - 3, u*v = v. Let p = 19 + -11. What is the lowest common multiple of p and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1521 (b) 0 (c) 357\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 661*f**8\/168 - 9*f**5\/20 - 11*f**4\/24 - 801*f**2. Find the third derivative of k(w) wrt w.\nAnswer: 79320*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 9*q**2 - 9*q - 4. Let u(j) = 2*j**2 - 2*j - 1. Let c(s) = s**3 - 5*s**2 - 7*s + 9. Let t be c(5). Calculate t*u(a) + 6*b(a).\nAnswer: 2*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 361, 1503, 3399, 6043, 9429, 13551?\nAnswer: 18403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1457833?\nAnswer: 13, 127, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*t = 579*t - 611*t - 33777 for t.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**5 - 704*t**3 - t + 1096 wrt t?\nAnswer: -40*t**3 - 4224*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 2:13 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 695, -0.4, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -2. Let n be (w + 2)*3\/3. Solve -2*h = -n*h + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*k - 2*k. Sort k, -3\/8, 1 in ascending order.\nAnswer: -3\/8, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0057435 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*b**3 + 132*b**2 + 432*b + 112.\nAnswer: -4*(b - 7)*(b + 2)*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.7 in -5, -3, 2\/33, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39610417 to the nearest integer?\nAnswer: 6294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 2*s**2 - 6*s + 62. Suppose 0 = -4*t - 33*t. What is the least common multiple of 4 and o(t)?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, o: 9, t: 1, u: 3}. Give prob of sequence ouoo.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, 0.042, -4\/15, -1\/7, 0.5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*n - 5*u, -30 = -2*n - 6*u + 4*u. Let a(y) = y**3 - 3*y**2 - 2*y + 27. List the prime factors of a(n).\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2588130 a multiple of 965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*x - 34. Suppose 4*p - 5*d + 56 = 0, 26 = -3*p + p + 3*d. Let g = p - x. Sort 5, -2, g.\nAnswer: -2, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 24 = -4*b, 0 = -4*l + 2*b + 6 - 0. What is the tens digit of l\/2 + (-94)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 2:23 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 654797453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 0, -5*n = 5*j + 21 + 9. Let f(i) = -3*i + 5. Let c be f(4). Which is smaller: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2191467?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 2*m - 3*m + 4*a, 0 = -5*m + 3*a + 338. Let t be 4*(-49)\/21*33\/(-22). Calculate the greatest common factor of t and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1373624?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (-26 + -4)\/(-10). What is the fourth biggest value in 10, 2, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27a9 (base 15) to base 4.\nAnswer: -2010210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 53.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 16*w - 5. Let x(h) = -1. Give -c(d) + 3*x(d).\nAnswer: -16*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/185)\/(36*(-17)\/680)*(-2 - 1)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154478*s - 112 = -154470*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3351*g - 1. Let k(x) = -14445*x**2. What is w(k(n))?\nAnswer: 48405195*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 0*i**2 - 1\/3*i**4 - 1\/3*i**3 - 1\/10*i**5 + 1 + i. Let n(l) be the first derivative of h(l). Factor n(f).\nAnswer: -2*f*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -56*i + 68*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45478*w + 4 + 77863*w - 4.\nAnswer: 123341*w","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, -3, -2\/7, 4 in descending order.\nAnswer: 4, 1\/9, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -47995, -47973, -47959, -47959, -47979, -48025, -48103, -48219?\n\"Answer: -z**3 + 2*z**2 + 23*z - 48019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8 = 5*n, -3*z - 12*n - 84 = -99. Let d(w) = -w**2 + 5*w + 3. Let h be d(5). Sort h, -16, z in descending order.\nAnswer: h, z, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.139625 millennia in decades?\nAnswer: 613.9625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -422302466322 and -12.\nAnswer: -422302466334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 14464.815.\nAnswer: -14468.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -2603.8906.\nAnswer: 2601.8906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 60\/35587 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**2 - 1\/240*q**5 + 1\/840*q**7 + 0 - 1\/480*q**6 + 0*q**3 + 1\/96*q**4 + 0*q. Factor f(j).\nAnswer: j*(j - 1)**2*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/3 + 29*c**3\/6.\nAnswer: c**3*(4*c + 29)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.053 less than -56?\nAnswer: -55.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, x: 6, y: 3, i: 2, s: 3}. Give prob of picking 2 y and 1 x.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 224041.9 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 divided by 22587?\nAnswer: 445\/22587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-384*h**2 - 250*h**2 + 236*h + 620*h**2 - 1)*(-5*h - 3*h + 5*h).\nAnswer: 42*h**3 - 708*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -8. Suppose -16 = -p - 3*p. Let d be 8\/p - (-27)\/(-12). Is l less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 0.3 (b) 4 (c) -0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 18*z + 322. What is h(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2125, -5792, -9461, -13132, -16805, -20480?\n\"Answer: -t**2 - 3664*t + 1540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 556662267*i**3 - 212656501 wrt i?\nAnswer: 1669986801*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*v = -64*v - n, 2*n - 5 = -3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 383978081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 5*s + 480, 3*n = 5*s - 37 + 331. What is the highest common divisor of 217 and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -716 + 1239. Let f = q + -518. Solve -4*o = 2*u - u + 16, 0 = o + f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + (-2002)\/273)\/((-147)\/(-45) + (-4)\/(-10)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192 by 55.\nAnswer: -192\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1378, -1375, -1372, -1369, -1366?\n\"Answer: 3*t - 1381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 703 - -678918.\nAnswer: 679621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 31 (b) 2 (c) 1\/4 (d) 0.02 (e) 15 (f) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 - (810\/8)\/(21\/(-252))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 8 - f + f**3 - 3*f**2 - 3*f**2 + 0*f. Let t be h(6). Suppose 2*o = t*w + 4*o - 2, 2*w - 3*o = 7. Solve 0 = -w*q - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5989 is divided by 85?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -b6 (base 15) in base 2?\nAnswer: -10101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*h - 1282 = 68*h - 4*s, 3*s = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2486)\/154132)\/(15\/(-93))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5143, 18037, 30931, 43825, 56719, 69613?\nAnswer: 82507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - h**2 + 2*h**2 + 4*h - h**2 - 4*h + (2 + 2 - 3)*(-2*h**2 + 2 - 2))*(-1 + 3 - 7 + (2 + 1 - 5)*(0 - 2 + 1) - 1 + 3 - 1).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45217.85ml to litres.\nAnswer: 45.21785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8036 + 0.8035992174. Round o to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -7*l**3 + 40*l**2 - 80*l + 2. Let z(a) = -29*a**3 + 160*a**2 - 320*a + 9. Let t(h) = 9*d(h) - 2*z(h). Factor t(k).\nAnswer: -5*k*(k - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (61 - 0 - (-3 + 5))*-13. Let s = k - -1440. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**2 + 27*w + 22. Let v(t) = t**2 + 9*t + 7. Let z(r) = 7*v(r) - 2*y(r). Calculate z(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 - 3.05. Let w = 0.09 + -0.29. Which is the smallest value? (a) w (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -12. Let t be i\/11 - 91\/(-77). Let c(u) = -u**2 - u + 1. Give c(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g = -51 - 13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((2\/3)\/1). Suppose 2*d - 5*d + 3 = 3*k, p*k = 2*d + 18. Suppose 0 = -k*g - 2*b + 728, 0 = -2*g + 6*g + b - 728. What is g rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 68\/6 - 2\/(-3). Let z be 8\/12*o\/2. Factor 3*r**2 - 3*r**3 - 4 + z - r + r**4.\nAnswer: r*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v + 1. Suppose -j - 4*x + 9 = 0, x - 23 = j - 3*x. Let r be q(j). What is the tens digit of ((-4)\/(-6))\/(r\/(-390))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z + 4*z + (-20 + 4 + 7)*(-4 + 4 - z))*(-49 + z + 38 - 98).\nAnswer: 12*z**2 - 1308*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-91 - -1)\/(1 + (-1929)\/1920). What is n rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 10912628\nAnswer: -10912631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 39372.75 centimeters?\nAnswer: 393727500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*z = 316*z - 3*c - 12, c + 2*c = 7*c + 16 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69401?\nAnswer: 69401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1384, 1380, 1374, 1366, 1356?\nAnswer: 1344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 29 = -2*z + 3*r, -26 = -4*r + 1 - 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**6\/6 - 327*s**5\/20 + s**4\/6 + 467*s**3\/2 + 15314*s. Find the third derivative of g(r) wrt r.\nAnswer: -120*r - 1962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**4\/4 + 91*s**3\/2 + 6*s**2 - 2*s - 4. Calculate d(-44).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 6:59 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -149260550*b**2 - 6745045*b - 14.\nAnswer: -298521100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 at least 1264\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63394?\nAnswer: 2, 29, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 7*d - 7. Let b be i(5). Suppose -13*x = 18*x - 310. Solve 0 = b*r - 1 + x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 7. Let f be r(-7). Suppose -3*t - x = t - 4, f = 5*t - 4*x - 26. Let b be t\/(-4) - 42\/(-12). Solve 2*i = -b*i + 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 59*q**2 - 19*q - 54*q**2 + 8*q - 19*q + 25.\nAnswer: 5*(q - 5)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34431\/35928 - 42\/72.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3123*q**2 - 9*q + 7132. Let i(t) = -1562*t**2 + 4*t - 3547. Let h(z) = -5*i(z) - 2*u(z). Find the first derivative of h(c) wrt c.\nAnswer: 3128*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 - 15*a**2 + 412*a - 2849. Calculate x(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -11*x + 13. Calculate a(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3753*s - 680 = -3719*s for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1\/5, -74 in descending order.\nAnswer: 0.1, -1\/5, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 27*z**2 + 3*z**2.\nAnswer: -23*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8170 minus 168.1987007?\nAnswer: -8338.1987007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4219 + -4268. Which is the smallest value? (a) -2\/11 (b) 0.4 (c) -3 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(1 + 0 - 2). Let v(y) = y**3 - 13*y**2 + 10*y + 27. Let u = -67 - -79. Let c be v(u). Put -4, n, c in decreasing order.\nAnswer: n, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 116176\nAnswer: -1\/58088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9289*j**2 - 4638*j**2 - 4643*j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) -944 (c) 8 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -1439.1\nAnswer: 1435.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = p + 126, 2*i + 4*p - 252 = -2*i. Let j be (-3)\/(-7) - 4100\/28. Let k = -104 - j. Calculate the highest common divisor of i and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-8\/7)*y**(-17)*y assuming y is positive.\nAnswer: y**(-120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - l. Let w = 163 - l. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35083? (a) 1\/7 (b) 7 (c) 1\/5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2606985534070+-4\nAnswer: -2606985534074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(297) - sqrt(297))\/(sqrt(1584)*-4))**2.\nAnswer: 27\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 131751, 14?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 64 = -3*f. Suppose 5*t + 15 = -0*q - q, 156 = -5*q + 2*t. Let m be (24\/f)\/(4\/q). What is the greatest common factor of 90 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-880)\/(-150))\/11*(-6)\/(-8)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -2 - -5) + 16 - 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + 1 - sqrt(243))**2 + sqrt(243))*-2.\nAnswer: -18*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55 by 2042.\nAnswer: 55\/2042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-8)\/156)\/(-1).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 11688624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 69 in 0.21, 1, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -24*h - 68. Let q be f(-3). Let d(t) = -95*t + 33*t - q + 26*t + t**2 + 34*t. Calculate d(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6205.975 tonnes to micrograms.\nAnswer: 6205975000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-76)\/20 + 22\/(-110)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5 + 2376*u**4 + 37850*u**3 + 212600*u**2 + 472125*u + 295000.\nAnswer: (u + 1)*(u + 5)**3*(u + 2360)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g**2 - 211786*g + 105986*g + 105800*g.\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/1452 and -93\/224.\nAnswer: 81312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w + 37 + 51 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-4))\/g**(-3))\/(g*g**(2\/5)*g\/g**(-2\/5)))**(2\/49) assuming g is positive.\nAnswer: g**(-4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-6)*m**(-7)*m*m*m*m**(-2\/5)*m*m*m*m*m**1*m*m*m*m**(2\/7)*m*m**(1\/11)\/m*m**2\/(m\/m**(-1)) assuming m is positive.\nAnswer: m**(-779\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 187 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68696 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29619.171 months in decades?\nAnswer: 246.826425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 (base 13) in base 5?\nAnswer: 3104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 3\/7, 1\/4, 0.03, 0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + d + (0 - 2 + 4)*(-3*d - 2*d + 3*d) - 4*d + 2*d + 0*d + 0*d + 0*d - d + d - 4*d + 0*d + (3*d + d - 2*d)*(4 - 4 + 1) + 0*d + 3*d - 4*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1596 + 1601.2. Let f = 74.3 + -68.83. Let c = f - l. Round c to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7799, 15589, 23377, 31163, 38947, 46729?\nAnswer: 54509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 673068 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230179 (base 14) to base 4.\nAnswer: 10202310133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23551231 or 23551232?\nAnswer: 23551232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 6:37 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**4 + 2*c**4 - c**4)*(6 - 4 + 1) - 121*c**4 - c**4 + 13*c**4.\nAnswer: -115*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*w**5 + 3*w**3 - 89*w?\nAnswer: 200*w**3 + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 10*r**3\/3 + 13*r - 7. What is the derivative of a(b) wrt b?\nAnswer: 20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - c**2 - 2*c - 1. Determine o(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v + 4. Suppose 10*t + 119 = 199. Let m(k) = 1. Let n(q) = t*m(q) - 2*x(q). Determine n(-6).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4780929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -104266 and 5?\nAnswer: 104271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -114 - n**2 + 436 - 111 - 4*n**3 - 106 + 4*n - 105. Let p be 2 + -1 - (-2 + 1). Let c(z) = -z**3 - z**2 + z. Calculate p*c(i) - v(i).\nAnswer: 2*i**3 - i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -23*s**2 - 3*s - 3. Let p(u) = 5*u. Let j(h) = 116*h**2 - h + 14. Let k(x) = j(x) + 3*p(x). What is 14*d(q) + 3*k(q)?\nAnswer: 26*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10011*a - 1590*a + 1216*a.\nAnswer: -10385*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*a**2 - 301*a**2 - 276*a**2.\nAnswer: -793*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -287 + 253 + (30 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 68 (b) 5 (c) 16 (d) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 13*h**5\/20 - 7*h**2\/2 + 12*h. Differentiate q(x) wrt x.\nAnswer: 39*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + -13. Let l be h\/12*3\/(-2). Solve -l*k - 3 - 7 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189) - (sqrt(189) + sqrt(189)*1)*6)\/(sqrt(343)*-2 + sqrt(7)).\nAnswer: 33*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/6 and 61\/342?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -4.04. Let n = -0.34 - u. Let x = -2.7 + -1.3. Which is the third biggest value? (a) n (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-5))\/((-8)\/30). Let t(o) = -o**2 - 6*o - 6. Let u be t(-5). Let p be (u\/8)\/(2\/4). What is the nearest to 1 in p, y, 2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + h)*(-299 + 832*h + 299)*(5*h - h - 3*h).\nAnswer: 832*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(1\/5))**(-1\/5) assuming l is positive.\nAnswer: l**(-1\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axxx when four letters picked without replacement from {x: 6, a: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 281516, 281504, 281480, 281438, 281372?\n\"Answer: -p**3 - 5*p + 281522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 6, 4*u + 24 = 2*v - 0*u. Does 6 divide 15\/2 - (-4)\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -4. Suppose 0 = 2*p, l - 3*p + 80 = k*l. Suppose 0 = -2*x + 4*x - l. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0204002488 rounded to 6 dps?\nAnswer: -0.0204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-2079))\/(9\/((522\/24)\/29*-14))\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1209, 890, 569, 246?\n\"Answer: -p**2 - 316*p + 1526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3765091.653 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*w + 452*w - 127*w - 13320 = 0 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000104875637 rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d - 6. Suppose -54 = 15*w + 6. Suppose 3*q + 19 = 4*u, -q + 4*q = 3*u - 18. Let a(s) = 3*s + 5. Calculate q*a(y) + w*f(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**3*q + 29806*l**3 - 2*l**2*q - 13362*l**2 wrt l.\nAnswer: 6*q + 178836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/22)*(y**23*y)\/y)\/((y*y\/((y\/(y\/y**(3\/10)))\/y))\/(y*y**(3\/8))) assuming y is positive.\nAnswer: y**(9957\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63210148 or 63210150?\nAnswer: 63210150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 70065739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11379358*d**2 - 5584143*d**2 - 2409340*d**2 - 680674*d**2.\nAnswer: -20053515*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398*v = -96886 + 62658 for v.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41925815 * -0.2.\nAnswer: -8385163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1276644 by -1671.\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010011 (base 2) in base 8?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3086 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10430, -10436, -10440, -10442, -10442, -10440, -10436?\nAnswer: -10430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 124 = -2*g, 120*s + 177 = 117*s + 3*g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32\/(-4)*4\/((-64)\/692) is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**4 + 5*p**4 - p**4 + (-3*p**2 + 3 - 3)*(2 - 2 - 2*p**2) + p**4 - 4*p**4 + 2*p**4.\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 10*b + 968. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97.6 + 98. Let t be (-31)\/34*2 + 2. Let n = 8\/51 + t. What is the nearest to 0.1 in a, -0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 225444228 by -161493.\nAnswer: -1396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/4959*-3)\/(3\/9)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1574617934.\nAnswer: 2, 1933, 407299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 429555.3599969 - 429555. Let r = -0.51 - -0.15. Let v = r + o. Round v to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/17)*j*j**(-12))\/(j**9\/j)**47 assuming j is positive.\nAnswer: j**(-6575\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 249048.\nAnswer: -5\/249048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2075 divided by 415\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*p + 552 = -371 + 260 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 2)*(0*u - u + 2*u)*(0 - 2 + 3).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(1\/8))\/v)\/((v*v*v*v**4*v)\/v*v) assuming v is positive.\nAnswer: v**(-55\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-172 - -183) + (1 - 1 - (3 - 3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w = -12. Suppose 0*r = w*r - 24. Solve 3*d = r*d - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (-2 + -1)) + -26 + 15\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1562 - -0.069255.\nAnswer: -0.086945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5\/19 (b) -0.05 (c) 2\/5 (d) -2\/5 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -7\/3*f**3 + 0 + 0*f**2 + 2*f - 1\/12*f**4. Let k be z(-14). What is k rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.4 or 3054.4?\nAnswer: 3054.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16741004?\nAnswer: 2, 7, 29, 53, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - 72?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 + 4*z**2 - 9*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 3*w = -96, 64*c - w = 106*c - 58*c - 237 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d + 81 - 879 = -270 for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 152 = -4*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*r - 223 = 120 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68981 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -382, -759, -1134, -1507, -1878, -2247, -2614?\n\"Answer: w**2 - 380*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 2232?\nAnswer: -2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)\/w)**(5\/2))**(2\/131)\/((w\/(w\/(w\/(w*w*w**0)*w)))**(1\/75)*(w**1\/w)**(2\/3)) assuming w is positive.\nAnswer: w**(-10\/131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 - -0.26. Let j = 0.15 + o. Let s = 192 - 389\/2. Sort j, 5, s.\nAnswer: s, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*c - 8, -2*c + 10 = 3*c - 4*z. Suppose -5*m + m + 4 = 0, -c*m + 14 = -3*u. Let q = -2 + 0. Which is smaller: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, -3, 34.\nAnswer: -3, 34, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-35 + 16 + 39)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -8.5. Suppose -p + 2*n = -0*p - 12, 0 = -5*p - 3*n + 34. Suppose -3*r = 2 - p. Which is the biggest value? (a) r (b) 2\/21 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-657)\/(-3723)*34\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 6*d**2 - 2*d**2. Let l(a) = a**2 - a + 2. Let s(m) = -8*m**2 + 10*m - 20. Let y(n) = -30*l(n) - 3*s(n). Determine y(q(z)).\nAnswer: -54*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 35*x**2 + 9*x - 17. Let b be (21\/(-14) - -3)*4\/3. Is a(b) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.12 + 0. Let t = -0.12 - l. Let g = -0.8 + 1. Put g, -3, t in decreasing order.\nAnswer: g, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-132)\/(-3) + (-4)\/16*0. Calculate the common denominator of 8\/w - 2505\/(-924) and 79\/63.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 < -165675\/14662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2 + 3 = 4*m, -x = -3. Let j = 2 + m. What is the highest common divisor of 8 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134 divided by -21?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*(-2)\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20305 - -16240?\nAnswer: -1035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 320\/140 + (-4)\/14. Let r be -5*(o\/(-20))\/((-13)\/(-78)). Solve -3*n = 5*x - 31, r = -4*n + 3*x - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7*b**2. Suppose 3*y + 5*x - 41 = 0, 6*y - 47 = 2*y + x. Let w(j) = -4*j**2 + y*j**2 - 3*j**2 - 3*j**2. What is -3*q(z) + 8*w(z)?\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*k + 14 = 0, -7 = -i + 2*i + 3*k. Let g be -2 - (i\/4 + (-8)\/16). Which is greater: -3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 81773703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*s + 29*s + 4*s**2 + 35*s + 39*s.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5548774 by -2.\nAnswer: -2774387","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 244657155?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h - 4*u + 2556 = -9*h, -3*h - 3*u = -3837. Does 27 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/75, 6, 5, -5, -1\/2.\nAnswer: -5, -1\/2, 2\/75, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14232570 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 674 + -708. Calculate the common denominator of (1695\/40)\/((-357)\/s) and 59\/2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 390*y + 12675.\nAnswer: 3*(y - 65)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.23, -121\/3, 0.5 in descending order.\nAnswer: 0.5, 0.23, -0.3, -121\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540491773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 a factor of 8092155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = s - 2*s. Suppose 2*x = -46 + 264. Let v be (-7 - x)*(-1)\/4. Calculate the highest common divisor of v and s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*y - 2*i - 3, i - 5 = -y. Let r = -7 + y. Which is the closest to 2? (a) 5 (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x + 67. Let b(h) = 11*h - 101. Determine 5*b(w) + 8*f(w).\nAnswer: -w + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20207 and 139612?\nAnswer: 1837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*a + 6, -a + 3*a = -3*t - 9. Let h = -5 + 14. Let g = t + h. Solve 6*m - g = 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 16) to base 2\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 512 and 57864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*f + 48*f + 30*f)*(-f**2 - 3*f**2 + 2*f**2).\nAnswer: -118*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 51579627?\nAnswer: 51579622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -652004 (base 8) in base 10?\nAnswer: -218116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -156 + 155.43. Let o = -4.57 - f. Suppose -3*b + 4*b + 5*y - 2 = 0, -y = 3*b - 20. What is the nearest to 0 in o, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 497431983*c**3*j + c**2*j - 3195*c**2 + 966*c*j - 5*c wrt c.\nAnswer: 2984591898*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49404 divided by 12351.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - -57?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 71*g + 189. Give f(-71).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f - 16*f - 9*f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2 = 2*w, 8 = 5*w - 5*x + 18 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017406 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3285 and 50?\nAnswer: 32850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(468))**2*-1 - (sqrt(468) + (sqrt(468) - (-1*sqrt(468) + sqrt(468))**2) + -1).\nAnswer: -467 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + 2*j**2 - j - 3*j + 7*j**2 as t*j**2 + f*j + w and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24337*0.11888.\nAnswer: -2893.18256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-5)*((-12)\/(-27))\/2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -896, -1797, -2692, -3581, -4464, -5341, -6212?\n\"Answer: 3*p**2 - 910*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 4*r - 4, 4*r - 2 + 1 = -p. Put 4, p, 5, -2 in decreasing order.\nAnswer: 5, 4, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 13 - 11 + 2602*s + 25 to g*s + c and give g.\nAnswer: 2602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.6 - -10. Let v = 17.9 - 13.9. What is the second smallest value in 1, v, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -208 - -220. Let c be (17\/(-867))\/(-2 - (-50)\/o). Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)*-2)**2 - sqrt(6)\/(sqrt(2) - -1*sqrt(2))) + (-3 + (-2*(sqrt(3) + -2) + sqrt(3))*-1)**2.\nAnswer: -29*sqrt(3)\/2 + 820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 g, and 1 d when three letters picked without replacement from dbbjddvjbbkgbbjgb?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 10.154, -5, 3\/7, 3.3 in descending order.\nAnswer: 10.154, 3.3, 3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 - 5*s + 5. Let k be u(-5). Suppose p + 5*o - 10 = 0, -4*p = -7*o + 3*o - 16. Let g = p - k. Calculate the least common multiple of 1 and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + c + 7, 3*c - 3 + 7 = 2*g. Let j(b) = -9*b**2 - b. Let t be j(-1). Find the common denominator of g - -18*(-5)\/t and -33\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(88 + 85 - 80)*(-3 - 1 + 0)*(0*d**4 - 2*d**5 + 0*d**4).\nAnswer: -744*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - x)*(-8 - 6 + 20)*(0*x + 0*x - 2*x).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 165*j + 1982. Let n be w(-12). Let f = 463 - 2279\/5. Let f + 6\/5*g**n - 42\/5*g = 0. What is g?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -36.2 and -10395.\nAnswer: -10431.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3737*m + 3746*m = -1107. Are m and -1106\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 860\/3 + -591\/2. Let y = 1\/631 + -46697\/1893. Calculate the common denominator of g and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 357984*-0.51\nAnswer: -182571.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (2 - 3)) + 11 + -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24924805.\nAnswer: 5, 17, 47, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**5\/60 + n**4\/3 + 9*n**3\/2 + 7*n**2. Let s(r) = 5*r - 3. Let h be s(-1). What are the prime factors of d(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/14)\/((7\/2)\/7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5593061?\nAnswer: 433, 12917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-126) + (-222)\/(-14). Let r(c) = 7 - 6 + x*c**2 + 2*c**2. What is r(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374 - 775 + 403 + 2*i.\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -150457, 0.2 in ascending order.\nAnswer: -150457, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**3 - 3*h**2 - 7*h - 5. Let i be d(-2). Let j = 53\/2 + i. Let w = -0.65 - -0.05. Sort w, 3, j in increasing order.\nAnswer: w, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10000101111110001 (base 2) to base 16\nAnswer: -10bf1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -590*y = -130791 + 99521 for y.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -132500234?\nAnswer: -132500225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 0.07629157204.\nAnswer: 0.12370842796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-8)*340\/(-11135).\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -31*w - 4. Is u(-4) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*m + 5*m + 13, -3*m - r - 7 = 0. Let n be (2\/m)\/((-3)\/(-318)). Let s = 108 + n. List the prime factors of s.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -183550*i**2. Let a(r) = -343*r. Calculate a(t(c)).\nAnswer: 62957650*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6024344 is divided by 547665.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b + 8. Calculate q(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -18 - 7. Calculate the common denominator of -81\/2 and ((-121)\/(-4))\/(n\/(-2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -i - 18, 7*i - 3*i + 4*c = -8. Suppose -2*s - 2*s - 3*j = -14, 2*s - j - i = 0. Solve m - a = 1, 3*m + 5*a - 25 = s*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h**3 + 2*h**2 + 0*h**2 - h**2 - 20*h**3. Give g(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i - 12 = -9*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 8:02 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4719 = -42*o + 20691. Is o != 604?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(4235\/(-63) + (-4)\/(-18)). Suppose 5*t + 4*r = -n, -4*t - 4*r - 18 - 38 = 0. Let d(z) = -z**3 - 9*z**2 + 14*z + 22. Is 10 a factor of d(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103100, -205615, -308130?\nAnswer: -410645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3140*v - 182636 + 60176 = 0 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61192 divided by 5?\nAnswer: 61192\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 4, 0, -3 in descending order.\nAnswer: 4, 0, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = 8*q - 168. Let t be 52\/(-16) - 6\/q. Sort 5, t, 7, 4 in decreasing order.\nAnswer: 7, 5, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*i**2*q*s**3 + 2*i**2*s**4 - 30*i**2*s**2 - 28*q*s**3 - 2*q*s + 13*s**2 wrt s?\nAnswer: -24*i**2*q + 48*i**2*s - 168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-3 - (15 + 3 + -15 + 6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 35*g**2 - 99*g + 93. Calculate o(32).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -12*z - 3. Let w(a) = 3*a - 11 - 4 + 27 - 12. What is t(w(b))?\nAnswer: -36*b - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**4\/3 - 2*o**3 - 2*o**2\/3 + 2*o = 0?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {v: 2, u: 3, q: 6, h: 3, e: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77422 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-6) - (-24)\/9. Let j(n) = -t*n - 2 - n**2 - 3*n + n. Give j(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*o = 151*o - 1814 - 5295 + 314 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30783 - -58112. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 12*v + 18. Let w(a) = -5*a - 7. Let d(p) = -2*t(p) - 5*w(p). Let f(r) = 7*r - 4. What is 6*d(k) - f(k)?\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oppawouoo. Give prob of sequence poo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 n when two letters picked without replacement from {o: 1, s: 2, w: 7, n: 3, f: 5}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from annnhnannarnamhn. Give prob of picking 1 m, 1 h, and 2 n.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**5\/60 + 7*o**4\/24 - o**3\/6 - o**2 + 4. Let t(p) be the second derivative of q(p). Calculate t(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1541325 is divided by 234.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b. Let w(v) = -22*v**2 + 31 - 5*v**2 - 31. Calculate w(t(p)).\nAnswer: -108*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141 or 469?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -33985883 < -33985883?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: -41*-26963\nAnswer: 1105483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -88*o - 4. Let p(s) = 177*s + 7. Determine 7*f(q) + 4*p(q).\nAnswer: 92*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/34 and 59*1*(-8)\/(-16)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 101*r**3\/3 - 20*r + 46. Let p(a) = 7*a. Give u(p(j)).\nAnswer: 1414*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*z - 385 + 394. Which is bigger: z or 1\/564?\nAnswer: 1\/564","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6*k = -265. Let u = -26 + k. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -85 (b) -2 (c) 3 (d) -3 (e) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 3:53 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.4, 1\/11, 256, 64?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 - 24 - (-4 + 3 - -38).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 251921 or 251912?\nAnswer: 251912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 8:54 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104.9 - 110. Let i = -0.1 - d. Let h = i + -2. Which is the second biggest value? (a) h (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 0*i - 1\/240*i**5 + 0 - 1\/4*i**3 - 176*i**2 + 7\/96*i**4. Factor r(d).\nAnswer: -(d - 6)*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 7*n**2 - 9*n + 6. Give y(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -663, -665, -667?\n\"Answer: -2*h - 661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most 514?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 120, 109, 96, 81, 64, 45?\n\"Answer: -w**2 - 8*w + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -46415, 1620?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5002 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -157 + 786\/5. Let t(m) be the second derivative of -4*m + 0 + 9\/20*m**5 + 0*m**2 - v*m**6 - 1\/4*m**4 + 0*m**3. Determine i, given that t(i) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41004015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9634 and -180?\nAnswer: 1734120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*u**2 - 6*u - 3*u + 10*u)*(-3*u**2 - u**2 + 6*u**2) to m + k*u + c*u**2 + i*u**3 + v*u**4 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2391037 and 2585.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34459 + 2239878\/65. Find the common denominator of o and (19 + 6534\/(-360))\/((-52)\/(-50)).\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = 2*n - 11. Suppose -l - 2 = -2*j, -n + 15 = -l + 5*j. Is 5 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-8 + -9)) + -10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -312 + 711. Is 19 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135095?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -379 - -381. Solve 19 = -5*s - r*t, 5*t = 5*s + 4 + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*-3*1\/(-3). Let j be (1 + 0)*(-30)\/o. Let i be (-6*1 - -2)\/(-2). Let l(h) = h**3 + h**2 - 4*h + 5. Let p(w) = -w + 1. Give i*l(z) + j*p(z).\nAnswer: 2*z**3 + 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -87, -138, -195, -258, -327?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1068271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 342, 2857, 9716, 23097, 45178, 78137, 124152?\n\"Answer: 363*y**3 - 6*y**2 - 8*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 8:55 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1236530, -1236529, -1236528, -1236527, -1236526?\nAnswer: -1236525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -686 by 14.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 355.9 - 353. Let t = d + -2.4. Let o be 0 - -1*1\/(-3). Which is the nearest to o? (a) t (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3121*h - 281004 = 642*h - 43935 for h.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1066, 46, 55 in decreasing order.\nAnswer: 55, 46, -1066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/3 - 6314*k\/3 + 74480.\nAnswer: -2*(k - 35)*(k + 3192)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 11:12 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -23*z + 20*z + 4*d, 57 = 5*z + d. Calculate the remainder when 24008 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s = 38 - 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2\/9 (b) 0.9 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, t: 9, r: 8}. What is prob of picking 2 r and 2 o?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 = 14*a - 1134. Let t = a + -61. Suppose 80 = 2*f - 4. Calculate the highest common factor of f and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (7 + -11 + 15) - -1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 + 9*a + 7. Determine q(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**2 - 3*q - 3. Suppose -5*v + 6 + 9 = 0. Let b(y) = -y**3 + 5*y**2 + 5*y + 5. Calculate v*b(g) + 5*n(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 9 = -7*x. Suppose v + 4*l - 1 = x*l, 4*v - 13 = 5*l. Suppose 3*r - v*r - 39 = 0. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 11 = -3*m, -4*a = -0*m - 4*m + 28. Find the third derivative of 27*d**3 + d**4 - 27*d**m + 3*d**2 wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/3 - 4 - -3. Let l(k) = -k + r*k - 2*k. Let n(w) = -9*w**2 - 5*w - 5. Let a(j) = -4*j**2 - 2*j - 2. Let d(h) = -5*a(h) + 2*n(h). Give d(l(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*t + 30 - 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-11 - (-7 + 2)) - (-6 + -9).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 844.2 + -844.2008844. What is l rounded to five dps?\nAnswer: -0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftj when three letters picked without replacement from fafftja?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03603 - 8.96397. What is the second biggest value in i, 1.1, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/5)\/(((-36)\/(-15))\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36283900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.8 - 7.8. Which is the nearest to -43? (a) -3\/4 (b) l (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/76626511 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 11 = r, -2*r = -23*y + 18*y + 4. Calculate the remainder when 34 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 - 138. Let j = -106 - -106.5. Which is the second smallest value? (a) 2 (b) h (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**3\/3 - 2*p**2 - 2*p + 4. Let r be u(-2). Suppose -y + 19 = -0*y + 2*d, -4*d - 14 = -r*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 691025 (base 12) to base 2.\nAnswer: 110011010011111011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nl when two letters picked without replacement from {j: 2, n: 1, l: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -2*m**3\/3 + 10*m**2 - 26*m - 3162. Give i(11).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2. Calculate the remainder when 4\/(-14) - 275\/(-7) is divided by 11 - ((-1 - c) + 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2302 (base 5) in base 9?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 + 2*g**2 - 5*g**2 + (-4 + 2*g**2 + 4)*(0 - 1 + 5) - 6*g**2 + 4*g**2 - 3*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -53c26 - 49?\nAnswer: -53c72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r**2 - 3*r + 3*r)*(-3 + 5 - 1)*(6 + 4 + 4) to the form v*r + u + p*r**2 and give p.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 60822, 243314, 547468, 973284, 1520762?\n\"Answer: 60831*z**2 - z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2740168, -5480357, -8220560, -10960783, -13701032, -16441313, -19181632, -21921995?\nAnswer: -24662408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 33, 39, 47, 57, 69?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*s**2 - 105*s**2 + 8 - 111*s**2.\nAnswer: -7*s**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (213\/(-284))\/((-6)\/(-4)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 567827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 + 5 + 0 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/72)\/((-100)\/8)*12\/(-2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n - 2*n**3 + 0*n + 2*n**3 + 0*n**3 - 3*n**3 + (-6*n**2 + n**2 + 3*n**2)*(-7*n + n - 3*n).\nAnswer: 15*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-6)\/(-12))*(10 + 0). Suppose 0 = c + 4*n + 7 + 3, j*c - 16 = 2*n. Factor -14*h + 2 + 3*h**2 - 14 + 10*h**c - 3*h**2.\nAnswer: 2*(h - 2)*(5*h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 2*h - 13 = 0, -4950*h = i - 4919*h + 65 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -631?\nAnswer: -62d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(28)\/(1*sqrt(64)))**2.\nAnswer: -3*sqrt(7)\/2 + 151\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -511*o**4 + 5*o**2 - 5*o + 462. Let d(k) = -510*k**4 + 4*k**2 - 4*k + 463. Let c(y) = 4*b(y) - 5*d(y). What is the first derivative of c(q) wrt q?\nAnswer: 2024*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6120.8658 minutes to days.\nAnswer: 4.25060125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 16*f**2 + f + 1. Calculate n(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 3, -7, -21?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -53, -3, -2\/5, -21\/5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1602 times 190\nAnswer: 304380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, c: 3, j: 2, s: 1}. Give prob of picking 2 j, 1 c, and 1 t.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 865 (b) 2 (c) 5 (d) -2\/7 (e) 3 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -29*x**2 + 14*x**2 + 14*x**2. Let r(f) = -2*f**2. Calculate r(a(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**5\/30 - z**4\/8 + z**3\/6 + 4*z. Let d(r) be the second derivative of j(r). What is the derivative of d(c) wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - ((-9)\/(54\/(-12)) - 6). Let i(c) be the first derivative of -12 - 3*c + 11\/2*c**s. What is the first derivative of i(u) wrt u?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 15*z**2 + 88*z + 935. Determine c(-17).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4689 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2610 by -10.\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.315 + 0.415. Let q = 0.899 - -0.301. Which is the nearest to q? (a) o (b) 0.3 (c) -2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -8*q**2 - q. Let o be x(1). Let u(b) = 14*b**3 + 5*b**2 - 28*b - 68. Let d(r) = 5*r**3 + r**2 - 10*r - 24. Let t(n) = -11*d(n) + 4*u(n). Give t(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - u + 1. Let d be (-18)\/(-3) + (1 - 5). Let a(w) = 0*w + 4*w**2 + 8*w - 8 + 4*w**d + w**2. Calculate 3*a(g) + 24*s(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjc when three letters picked without replacement from cvecvjeeej.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 16 = f, 0 = 3*f - 49*i + 2*i + 46*i - 24 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44960 is divided by 3471?\nAnswer: 3308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + 3*2*sqrt(133))\/(sqrt(7) - 2*sqrt(175)).\nAnswer: -7*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*t + 73 = -44. Solve 15 = t*c + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826317.\nAnswer: 3, 91813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 10, 22, 30, 28, 10, -30?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 45 = -3*w - 3, 4*q = 5*w + 41. Suppose -8*g = -q*g + 26. Let v = g - 12. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33671 is divided by 687.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/97 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(-b**3 + b**3 - 2*b**3) - 3117*b**3 + 2*b**2 + 3114*b**3 - 14*b**2.\nAnswer: -7*b**3 - 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -10978*q. Let m(b) = 36*b**2 - b. Calculate m(l(d)).\nAnswer: 4338593424*d**2 + 10978*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7718454728422.2 plus 0?\nAnswer: -7718454728422.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.25 + -0.05. Let t = -1.1 + d. Suppose -3*k + 3*q - 9 = 0, 0*q = q. What is the closest to t in 1, k, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1250*n = -1223*n + 324 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + -1 + -5)**2.\nAnswer: -132*sqrt(17) + 2093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1375519938?\nAnswer: 2, 3, 13, 29, 608099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2183*j = -2158*j + 316975. Is j not equal to -12679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*k**6 - 193*k**4*q - 2*k**2*q - 3*k**2 + 3*q wrt k?\nAnswer: 600*k**3 - 4632*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*w + 169 - 110 + 1680 = 12*w for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) -141291 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 98*(10 - 247\/26). Which is the closest to -6? (a) 2 (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 206362330 divided by 5\nAnswer: 41272466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, -4.6, 2\/5.\nAnswer: -4.6, 0, 2\/5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(4\/9)*a)\/(a\/((a**19\/a)\/a)))**(-12\/7) assuming a is positive.\nAnswer: a**(-628\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -139*x**4 - 57*x.\nAnswer: -1668*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/63 and -139\/4620.\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -4 + (-61 - (-13 + -5))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**26*k)\/(k*k**(9\/2)))**(-10) assuming k is positive.\nAnswer: k**(-225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -12978*y**2 + 5. Let r(j) = 2*j. Calculate f(r(k)).\nAnswer: -51912*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 63*g**2 + 346*g + 242. Let r be y(-57). Which is the fourth smallest value? (a) -0.5 (b) -1 (c) -229 (d) 3\/8 (e) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -32.6 (b) 30 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1449963 and 514503?\nAnswer: 15949593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 11\/3 (b) 7\/5 (c) 2 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - 35 - 1 - (21 + 1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66772930 to the nearest integer?\nAnswer: 8171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -9*v**2 + 255*v + 990. Let x(w) = -2*w**2 + 51*w + 198. Let r(s) = -24*x(s) + 5*y(s). Solve r(j) = 0 for j.\nAnswer: -11, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*q + 2 - 3 + 4 + (3 + 0 + 0)*(0*q + 0*q - q))*(-6 + 13 + 19).\nAnswer: -494*q + 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2 - 2*u + 1. Suppose 9*c = 26 + 1. What are the prime factors of n(c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tz when two letters picked without replacement from trgrz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -144 + 143.9878. Round x to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 52. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10 + 0)*(-2)\/5. Let i(j) = 4*j**2 - 7*j + 4. Let p be i(f). Is 10 a factor of 3*(p\/6)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(2187) + sqrt(2187) + 1 + sqrt(27))**2.\nAnswer: 114*sqrt(3) + 9748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -20. Suppose -31 - 21 = -x*y. Suppose -11 - y = -c. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3626*c + 832*c - 2857 = -1513*c - 205871 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/11 - 54*b**4\/11 - 68*b**3\/11 + 336*b**2\/11 = 0. Calculate b.\nAnswer: -3, 0, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -c, 0*t = 4*t + 4*c - 40. Let v be 20\/t - (2 + -1). Suppose 0*i + 12 = -v*i. Let p(f) = f**3 + 6*f**2 + 7*f + 5. What is p(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-44 - -5)\/(1\/(-5)). Let u = i - 185. Calculate the remainder when 54 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 18, a: 2}. Give prob of picking 1 a and 3 v.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -5. Suppose -7*i + l*i + 8 = 0. Find the third derivative of o**2 + o**6 + 2*o**3 + o**6 - i*o**3 wrt o.\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -9. Suppose l*w = -4*w + 12. Let z be -1 - -1 - (1 - 6). Solve -o - 4*c + 12 = -z*o, o + c - w = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2123 + 168?\nAnswer: -1955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 4725381.\nAnswer: 472538.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 14*h**2. Let n(i) = -324839*i**2. Calculate n(q(j)).\nAnswer: -63668444*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-90))\/((24\/(-10))\/2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-35))\/((-2)\/10*3). Let v(f) be the first derivative of -16\/7*f + k*f**4 + 4\/35*f**5 + 4\/7*f**3 - 8\/7*f**2 + 3. Factor v(t).\nAnswer: 4*(t - 1)*(t + 1)*(t + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-3168)*-99*8\/42.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 + a + 3. Let w be 5*(-3 + 17\/5). Suppose -3 - w = -l. Let r(x) = -l - x - 2*x + x - 4*x**2. Give -3*r(d) - 5*s(d).\nAnswer: 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*r + 6, -r + 11 = 4*j + 35. Let o = j - -7. Solve -5*q = o*w - 11, -2 = 4*q + w - 3*w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 28*v - 58. Let k = -38 + 8. Let y be m(k). Suppose 0 = 3*z + 5*t - 1022, 5*z = -3*t + y*t + 1674. Is 50 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**4 + 3*m - 3*m + (-4*m**3 + 2*m**3 + 3*m**3)*(19493 + 4126*m - 19493) to the form v*m**4 + k*m**2 + z*m + t*m**3 + g and give v.\nAnswer: 4124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.265, 76, -2\/33?\nAnswer: 0.265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-79)\/(-158))\/(1\/55*(-10)\/(-4))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(360)\/sqrt(8)) + 2*sqrt(45) + -3*(sqrt(5) + -5*sqrt(5))*-5.\nAnswer: -56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4, 1, -3, 3.\nAnswer: -3, 1, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y\/y**(1\/7)))\/y)\/y*y)\/y)**(-1\/24)*(y**1)**(2\/21) assuming y is positive.\nAnswer: y**(29\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 506 + 471. List the prime factors of z.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.5 + 2. Let c(l) = l**2 - 11*l + 12. Let p be c(10). What is the third smallest value in p, b, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 0)*(0 - 2*y**2 + 0) - y + y - 2*y**2.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**2 - 32*v + 7. Determine s(-12).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**2 + 119*n + 1. Let d(j) = -2*j. Give x(d(h)).\nAnswer: -12*h**2 - 238*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 174890 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 20125 (c) 0.3083 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -23664\nAnswer: -118320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19942*u*y**3 + 58*u*y**2 - 43*u + 2*y**4 + 4*y**2 wrt y.\nAnswer: 119652*u + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 3 + 3)*(-43 + 43 + 5*l**3) + (-5*l**2 + l**2 + 3*l**2)*(14*l - 14*l - 6*l**2) - 2*l**4 + l**4 + 3*l**4.\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 600?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1518 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2112, -10283, -23932, -43059, -67664, -97747, -133308?\n\"Answer: -2739*j**2 + 46*j + 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 100*h - 3880. Give p(30).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 396989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17062, -5, 3, -6, -19 in increasing order.\nAnswer: -19, -6, -5, 3, 17062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 - 23. Let a = -33 + s. What is the highest common divisor of a and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.171\nAnswer: -0.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11846 + 18120. Suppose 0 = -20*d + y + 1986. Calculate the highest common factor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 1. Suppose k*v + 11 = 11. Let u(b) = -b**3 + 108. What is the units digit of u(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3693 - 92311\/25. Let z = g - 148\/175. Do -0.2 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 4*x - 1, 4*k - 10 - 5 = -3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 62952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**3 - 25*o**2 - 149*o + 114. Give g(-5).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*o = -30*o - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3456525 and 20047845.\nAnswer: 100239225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t = 414. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 - 7*r + 40. Let z(l) = 3*l**2 + 13*l - 80. Let d(t) = -5*p(t) - 3*z(t). Calculate the remainder when d(-9) is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 0 = -8*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365527077 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -158 - -157.63. What is g rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17)\/(-272) - 158\/(-32). Let y = 9 + -4. Find the second derivative of -5*v**y + 11*v + 4*v - 5*v**d - 4*v**5 wrt v.\nAnswer: -280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*x**4\/3 - 992*x**3\/3 + 4268*x**2\/3 + 8336*x\/3 + 1040 = 0 for x.\nAnswer: -26, -1, -6\/11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 28 + 8. Let k = -8 - -8. Suppose 0 = -k*q + 2*q. Solve 2*y - y = q, 3*y = -u*z + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (156*i + 3*i**3 - 158*i + 2 + 3*i**3)*(-2 + 2 + 4).\nAnswer: 24*i**3 - 8*i + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -331c3 (base 15) in base 3?\nAnswer: -22020210010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z*z**(3\/2))**(12\/11))**34)**(-2))**(-4) assuming z is positive.\nAnswer: z**(11424\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47614, -47629, -47644?\nAnswer: -47659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (-2*sqrt(288)*-2 - sqrt(288))*6).\nAnswer: -1296*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 3885 and 42729\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 598791501 is divided by 87?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 624030.\nAnswer: 2, 3, 5, 11, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p**5\/9 + 38*p**4\/3 - 1366*p**3\/9 + 694*p**2\/9 + 288*p + 440\/9 = 0. What is p?\nAnswer: -11, -1, -2\/11, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 556*s - 566*s = 0. Suppose s = -3*v + 4*o + 839, -v = -3*v + o + 566. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4420\/(-26)*(-238)\/595\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**4 + o**4 - o**4)*(4 - 4 + 2*o) + (-6*o**4 + 2*o**4 + 3*o**4)*(4*o + 0*o - 2*o).\nAnswer: -10*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f - 12. Let p be i(-6). Solve 2*z + 2*l - 16 = p, -2*z - l + 3 = -8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -5 + 5 + -9 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 377279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q - q**3 - q**2 + 2*q**2 - 2 + 3. Determine b(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i - 7. Let v be o(4). Suppose -r + 72 = 2*l - 31, v*l = -r + 118. Calculate the remainder when r is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b**3 + 3*b**2 + b - 6. Is 4 a factor of l(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*w - 49 = 0. List the prime factors of (318 - 1) + (1 - -5) + w.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/164 and 169\/168.\nAnswer: 6888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-112)\/32*8\/77*(-8)\/(528\/1287)\nAnswer: 78\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369 = m + 119. Let r = m - -2953\/6. Let v = -1\/1477 + 54667\/26586. What is the common denominator of v and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10256027 - 163?\nAnswer: -10256201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8346, 16630, 24900, 33150, 41374?\n\"Answer: -f**3 - f**2 + 8294*f + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 773 - 13. Let m = -537 + o. Does 61 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, -2, 2, -15, -3 in decreasing order.\nAnswer: 2, -2, -3, -15, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1200, -4771, -10724, -19059, -29776, -42875, -58356?\n\"Answer: -1191*h**2 + 2*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13075 * 7\nAnswer: 91525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1213.4 + 1213. Sort z, -34, -2\/7.\nAnswer: -34, z, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57*0.09\nAnswer: 5.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffofwwffof. Give prob of sequence oowf.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29897\/33 + 9918\/11. Find the common denominator of r and 21\/503.\nAnswer: 1509","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 13 - 41 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -163342707 times -0.1?\nAnswer: 16334270.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2 or -8612?\nAnswer: -8612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157377?\nAnswer: 3, 11, 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -2011121000100?\nAnswer: 2011121000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-seven fifths of a microsecond?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 359123327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -17a87877a?\nAnswer: 17a878779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 175251.9 to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-168)\/9)\/4*-9*277\/(-554)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 4*f**3\/3 + 10. Let z(m) = m. What is a(z(x))?\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(-2*u**2 - u**3 + 2*u**2 + (2*u**2 - u**2 + 0*u**2)*(0*u + 2*u - 3*u) - 7*u - 4*u**3 + 7*u).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1015*x + 3181 - 1151 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 107 - 55. Is 13 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 20 = -5*r, 3*r + 3*g - 2 - 10 = 0. Let n(l) be the second derivative of l**5\/20 - l**4\/3 - l**3\/3 + 2*l**2 - 968*l. Calculate n(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13155774 + 0.00338.\nAnswer: 13155774.00338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4 - 4 = 3*d, 0 = -4*d + 3*w - 6. Suppose d = 2*b - 14 - 8. Solve -b + 3 = -4*k, -4*c + 4*k = -8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/7 + 605916*m**2\/7 + 91794455280*m\/7 + 3303815169600\/7.\nAnswer: (m + 36)*(m + 302940)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 823*k + 569547. What is z(-692)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38567 + 18866. What is d rounded to the nearest one hundred?\nAnswer: -19700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 5:04 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p - 19. Let u be i(-8). Suppose -3*m = -2*z + 39, -4*m = u*z - 36 - 4. Suppose -71 = -z*a - 23. Solve 0*s - 17 = -3*f + 2*s, a*s + 31 = 5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/9 + 25496*h**2\/9 + 29941912*h\/3 + 5899781888.\nAnswer: 2*(h + 736)*(h + 6006)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*20\/16 - 86\/(-18). Sort b, 2, -4, 7\/19.\nAnswer: -4, b, 7\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*i - 62*i + 30 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h + 26 = 5*l, l - 4*h - 14 = 0. Suppose -13 - 21 = -w - 4*c, -4*c + l = -w. Find the second derivative of -27*k + 49*k + w*k**3 - 42*k wrt k.\nAnswer: 84*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 576938460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 4:33 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4\/(-12)*-18 - 3*-83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 2*c**2 + 0 + 0*c**3 + 1\/6*c**6 + 0*c**5 + c + 0*c**4. What is the derivative of w(q) wrt q?\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96779052131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-11 + 4 - 7) + 10 + 0 - 32)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 21947?\nAnswer: 3\/21947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39032, 39033, 39034?\nAnswer: 39035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 5, 576.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 9:24 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -60658658 greater than or equal to -60658657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 + 129. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + 1*sqrt(119)*-1 - sqrt(119))\/(sqrt(14)\/(sqrt(2)*2)) + ((-2*sqrt(204)*6)\/sqrt(12))**2 + -5 + -1.\nAnswer: -2*sqrt(17) + 2442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67061\/88872 - 70\/529. What is the common denominator of 31\/4536 and s?\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2048*u**2 - 8832*u + 9522.\nAnswer: 2*(32*u - 69)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -6*s - 15. Let b be -4 - 6\/s - -1. Let p be 3\/(-1) - 2 - b. What is p rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(288) + sqrt(288)*-4)**2.\nAnswer: 2594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.94 - 0.64. Sort -3, -5, -0.2, b in decreasing order.\nAnswer: b, -0.2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*g + 30, -3*g = -3*w - 12 - 30. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 25641 - 25676 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5259082332862 - -68.\nAnswer: -5259082332794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/5544*-33)\/(14\/300) + -18?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1046.4 - 1047.8. Which is the third biggest value? (a) 3 (b) 2\/3 (c) h (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 29 = 5. Let z(f) = -18*f + 352. Let c be z(21). Which is bigger: w or c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 - -a8a2e8?\nAnswer: a8a2d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -3\/131, 0.1 in decreasing order.\nAnswer: 0.1, -3\/131, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c\/(c\/(c\/((c*c**1)\/c*c)*c)))\/c*c)\/c)**(-18)\/(c**1\/c*c)**(1\/67) assuming c is positive.\nAnswer: c**(-1207\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*(sqrt(500) + 1 - sqrt(500)) - (5*sqrt(500)*1)**2 - (1 + (sqrt(500) + 1)*3 + (-4 + (sqrt(500) + 1 - sqrt(500)) - sqrt(500) - sqrt(500)))**2).\nAnswer: -12993 - 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*f = -3*r + 36, f + 48 = 4*r. Let k = 26 - 8. Calculate the greatest common divisor of k and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/18*(2\/2 - 2313\/1799)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -0.1 (c) -25 (d) -2\/17 (e) -2.906 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.4, -1, 2\/13, -12 in increasing order.\nAnswer: -12, -1, 2\/13, 3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*m + 140*m + 174216 = 0. What is the highest common divisor of m and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 4*c + 256, 5*b = -3*c - 0*b - 197. Let w = 59 + c. Suppose 2 = -5*u - 3*d - w, 3*u + d = 2. Calculate the greatest common divisor of 4 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10262*d - 288164 - 522534 for d.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 52, 71, 90, 103, 104, 87?\n\"Answer: -u**3 + 6*u**2 + 8*u + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2*t)*(t - 3*t + 0*t) + 0 - 2*t**2 + 0 + (40*t + 5*t + 26*t)*(-8*t - 3*t + 5*t).\nAnswer: -432*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + t - 104 = -t, 3*s - 2*t = -324. Let j = s + 202. Suppose 5 = -d, -d - j = -0*u - 3*u. Calculate the remainder when 85 is divided by u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 less than 53812.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 3*r**2 - 85. Let x(l) = -2*l**3 + 4*l**2 + 86. What is 3*x(h) + 4*y(h)?\nAnswer: -2*h**3 - 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/9 - 4\/99. What is the third biggest value in 1\/3, g, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-1 + -3 + 5). Let m be (2\/(-5))\/o*-5. Let i be 2 + 32*m\/(-4). Calculate the highest common factor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -35*b**2 + 0 - 8 + 10*b + 34*b**2. Let k be i(9). Let d = -15 + 24. Calculate the greatest common factor of d and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2102102 - -11111212?\nAnswer: 20221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109627, -109597, -109557, -109501, -109423, -109317, -109177?\nAnswer: -108997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -v - 4*d + 360, -3*d - 505 = -4*v. List the prime factors of v.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -112218, 5 in ascending order.\nAnswer: -112218, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 e when four letters picked without replacement from {e: 11, q: 5, v: 1}.\nAnswer: 55\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 32, -5, -0.5, 0.1, -1\/26 in increasing order.\nAnswer: -5, -1, -0.5, -1\/26, 0.1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((80\/24)\/(-5))\/2*-18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 6:22 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from -162450.\nAnswer: -162444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1802 divide 484054402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.7 - -10. Let x = m + -1.3. Let q = x - -3. Which is the biggest value? (a) q (b) -0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -13*g**2 + 84*g - 566. Give o(8).\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 190 and 1026?\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06753 + -1?\nAnswer: -1.06753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -82, -64, -44, -22?\n\"Answer: b**2 + 15*b - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -14 and 132.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/173, -6, 132.5, -3?\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3011.02 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.2340154 to two dps.\nAnswer: -22.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5068957 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 58*d**3 - 63*d**2 + 3*d - 2. Let y(s) = -289*s**3 + 315*s**2 - 15*s + 11. Let z(p) = -11*a(p) - 2*y(p). What is m in z(m) = 0?\nAnswer: 0, 1\/20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 1)*(5 - 2 - 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*p + 378 = 22*p. Let n be (0\/p)\/(0 + 3). Sort -9, n, 5, 6 in descending order.\nAnswer: 6, 5, n, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in -5, 11, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 + ((-72)\/3 - -6). What is the smallest value in 1\/17, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 8) to base 5.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, n: 3, k: 13}. Give prob of picking 1 b and 1 n.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1233.6 + -1234. What is the smallest value in -4, -2\/77, 1\/6, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k*k*(k*(k**(9\/7)*k)\/k*k*k)\/k*k)\/k*k)*k\/(k\/k**(-3\/8)))**(2\/13))**(1\/8))**(7\/4) assuming k is positive.\nAnswer: k**(-317\/1664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 6 = 3*u + 4*o, -7 = -3*u - 2*o. Suppose -k + 4*v + 8 + u = 0, 4*k = 4*v + 24. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2836668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4102.\nAnswer: 2, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.108648 rounded to three decimal places?\nAnswer: 0.109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(900)\/sqrt(12))**2*6 - (sqrt(165)\/sqrt(125))\/(sqrt(99)\/(sqrt(9) + sqrt(9)*1)).\nAnswer: -450 - 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 7*c**2 + 6*c + 4. Let y be f(8). Let z = 13 + y. Let i = -0.193 - -0.193. What is the closest to -2\/5 in i, z, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02283 and -5?\nAnswer: -0.11415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9}. What is prob of picking 4 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 12:38 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/(-135) + 6\/10?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-243)\/108*(144\/297)\/(-4)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c. Let z(x) = -2618*x**2 - x - 1987. What is z(i(v))?\nAnswer: -2618*v**2 + v - 1987","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22020022 - -1212021110?\nAnswer: 2011111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 4*o - o)*(59*o - 18 + 57*o + 65*o - 185*o).\nAnswer: -4*o**2 - 18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66062 and 272.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 4. What is the units digit of 6\/(-4)*32\/d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p. Let h(u) = 638*u**2. What is h(v(b))?\nAnswer: 638*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - s - 11. Let x = -4 - -4. Let q be i(x). List the prime factors of (4 + q\/2)*-16.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hddldllll. Give prob of sequence ddlh.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + (1*sqrt(325)*1 + 1 - (-3*(0 + sqrt(325)) + 0))**2*2.\nAnswer: 80*sqrt(13) + 10403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/11 + 2\/11. Let d be 2*(-3 - 4\/(-8)*25). What is the first derivative of h - 3 + 5 + d*y wrt y?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -8*o + 14. Suppose 2*b - 28 = 6*b. Let l be h(b). What is the greatest common divisor of 28 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14221, -28441, -42661, -56881, -71101, -85321?\nAnswer: -99541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 27. Solve 22*g**4 - 32*g**2 - 2*g**h + 72 - 192*g - 25*g**3 - 67*g**3 + 226*g**2 - 2*g**5 = 0 for g.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 13*q. Let j(o) = -1224*o**2 - 51*o - 17. Let c(v) = -153*v**2 - 6*v - 2. Let z(m) = 17*c(m) - 2*j(m). Calculate z(w(r)).\nAnswer: -25857*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3 + 6022*y**2 - 3898480*y + 7772856 = 0. What is y?\nAnswer: -3559, 2, 546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49*21\/441)\/(((-35)\/(-45))\/7).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310*q**3\/11 - 64126*q**2\/11 + 484412*q\/11 + 6368 = 0. What is q?\nAnswer: -22\/155, 8, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 666647 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-9) + (-14)\/(-6). Let m be p\/8 - 9\/(-28). Let q = 95\/3 + -31. Which is the nearest to q? (a) -3 (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*h - 313*h = -5711 + 21188 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25665 divided by 5133?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1643150 and 280?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2686099.\nAnswer: 13, 206623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u + 13*u**2 - 47 - 16*u**2 + 10 + 3*u**2 + 2*u**3 to g + i*u**2 + m*u**3 + f*u and give g.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -41*o**3 + 290*o**2 - 660*o + 4499. Determine q(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 31\/5 of a gram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1139 and 1037.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 - u + 2. Let f be v(-2). Suppose 0 = -4*g + 8 + 20. Let d = f - g. Solve d = t - 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiev when four letters picked without replacement from cvachiiveivcvvvvie?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 y when three letters picked without replacement from ooggyyyg.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(140))\/(sqrt(45)\/sqrt(81)) - ((sqrt(7) + 2)**2 + -5 - 1*(sqrt(7) + 1)**2).\nAnswer: 2 + 34*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*sqrt(30)\/sqrt(2))\/(-6*((sqrt(405) - sqrt(405)*-2) + sqrt(405))).\nAnswer: 5*sqrt(3)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 58266168*s - 58266164.\nAnswer: -4*(s - 14566541)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.5 + 2. Let w = 159 + -248. Let p = -88.7 - w. Which is the nearest to -1\/2? (a) p (b) 0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q - 2*q + 0*q - q + 2*q. Let h(m) be the third derivative of m**5\/60 - 2*m**2. Give h(s(x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f - f)*(-f**3 + 0*f**3 - f**3) + (-138*f**3 + 41*f**3 + 58*f**3)*(12*f - 17 + 10 + 8 + (3 - 1 - 1)*(-3 + 3 + f)).\nAnswer: -503*f**4 - 39*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1422439\/23 or -61845?\nAnswer: -1422439\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -24. What is the second smallest value in p, 2\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40374351?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -391, -3158, -10647, -25210, -49199, -84966, -134863?\n\"Answer: -392*y**3 - 9*y**2 + 4*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -8. Suppose 4*q - 295 = -4*z - 263, -q - 14 = -z. Let m(r) = 5*r**3 - 6*r - 6. Let x(c) = -9*c**3 + 11*c + 12. Determine j*x(g) + z*m(g).\nAnswer: g**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -696*m**3*x**4 + m**3*x**2 + 5*m**3*x + 2*m**2 - 16*m*x**4 + 17*m*x**2 wrt x.\nAnswer: -16704*m**3*x - 384*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/7)*(j\/(j*j*j**(5\/3)*j)*j)\/j*(j**4*j)\/(j\/j**(5\/4)*j)*((j\/(j*j**(-2\/27)))\/j**(-2\/9))**(-1\/2) assuming j is positive.\nAnswer: j**(437\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13202 - -23013. Suppose 7844 = 4*s + 2*f, -f + n = -s + 6*s. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-72)\/9)\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 6. Suppose z + q - 16 = 0, 3*q - v = -2*z + 3. Suppose 4*m - 2*l - 138 = 0, z + 11 = m - l. What is the remainder when 184 is divided by m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -531, -1053, -1567, -2073, -2571?\n\"Answer: 4*g**2 - 534*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/19 - 6418*d**3\/19 - 6416*d**2\/19.\nAnswer: -2*d**2*(d + 1)*(d + 3208)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-2*f**3 + 3*f - 3*f) + 3*f**3 - 2*f**3 - 2*f**3 + (3*f - 4*f - f)*(0 - 4 + 3)*(-8*f + 8*f + 16*f**2).\nAnswer: 29*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 84 - 81 = 0. Suppose l = 3*q - 12. Let v = -27 + 70. Calculate the remainder when v is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -2*t. Let x(b) = -b**3 - 5*b**2 + 4*b - 8. Let v be x(-6). What is the derivative of 2 - 2*p**2 - v*p + t*p wrt p?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 41 = -1 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 0. Suppose 3*k - 60 - 75 = -x, 4*x - 3*k - 510 = 0. Suppose x = -n + z*n. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 8*i + 1. Let x(y) = -y + 1. Let s(z) = a(z) + 4*x(z). Let n(f) = -3*f - 5. Determine 3*n(r) + 2*s(r).\nAnswer: -r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 274579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -13*v - 5. Let z be s(-3). Let h = z + -24. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 44*y**2 - 92*y - 11. What is d(-46)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -17184 divided by -3\nAnswer: 5728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 3300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8830*m + 404*m + 4503*m**4 + 546*m + 3790*m**4 wrt m.\nAnswer: 99516*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 100121 - -5?\nAnswer: 100126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/3, 192, -0.0603, -0.3, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -295 less than or equal to -60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -63905 * -2\nAnswer: 127810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**3\/3 + 5*l**2\/2 + 3*l + 10. Give j(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -871 (base 15) to base 3.\nAnswer: -2121121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-8))\/((1\/60)\/(8*51\/(-680))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 989277 to the power of 1\/2, to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 10*y**3 - 24*y**2 + 6*y - 6. Let v(m) = -8*m**3 + 24*m**2 - 5*m + 5. Let j(f) = -5*h(f) - 6*v(f). Suppose j(c) = 0. What is c?\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 2 - l**2 + l**2 - l + l**3. Let j(s) = -s**2 - 3*s + 1. Let p be j(-3). What is g(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3\/14 (b) 0.08459 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2)*b*b*b*b**(-6)\/b)**(-1\/4))**28)**(-1\/14) assuming b is positive.\nAnswer: b**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -131916 divided by 134\nAnswer: -65958\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -10000111101001?\nAnswer: -10000111101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/36*159750\/(-710).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 4) to base 9\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.3, 1\/11, -0.2, -0.41779, 3\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - l**2)*(3 + 39*l - 31*l - 4)*(5*l + 32 - 32).\nAnswer: -40*l**4 + 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)*-1 + sqrt(450))\/sqrt(9) - sqrt(50))**2 + (sqrt(50) - (sqrt(150)*-1)\/sqrt(3)) + -5.\nAnswer: 10*sqrt(2) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 13) in base 2?\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, h: 2, a: 2, g: 1, b: 4, n: 1}. Give prob of sequence bg.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 15*l. Let t be m(4). Let i be ((-40)\/t)\/((-14)\/(-9)). Which is the fourth biggest value? (a) -13 (b) 0.3 (c) i (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k - 16810 = -5*p + 37*k, 2*k - 10067 = -3*p. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 24. Suppose -4*r + 726 = -2*k, -2*k + 0*k = -v. List the prime factors of r.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3565 and 58838.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -358*p**4 + 1878 - 4*p - 3*p + 10*p + 45 - 11*p**4 wrt p.\nAnswer: -1476*p**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3357 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1664467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from ayyyywwayyaywa?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1317.397 rounded to the nearest integer?\nAnswer: -1317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1200*a**3 - 3*a**2 - 3*a - 2. Let v(h) = 6000*h**3 + 16*h**2 + 16*h + 10. Determine 16*j(x) + 3*v(x).\nAnswer: -1200*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 917 = -897 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4)*c*c)\/c)**(-26\/5)*((c*c**1)\/c)\/(c\/c**(2\/29)) assuming c is positive.\nAnswer: c**(2272\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*l + 18 - 46 = 0, 5*s - 4*l + 10 = 0. Let y = s + 5. Let w = 7 - y. Calculate the highest common factor of w and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 5*z**2 - 5*z - 2. Let b be w(-3). Let v(q) = q**2 + 6. Let t be v(b). Calculate the common denominator of -26\/5 and 4\/8*(3 + t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, d: 9}. What is prob of picking 2 d and 1 j?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + k - 3. Suppose -n = -7*h + 4*h + 3, 0 = -2*n + 4*h - 4. Calculate j(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 330 and 77616.\nAnswer: 388080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12629902 and 11792.\nAnswer: 1111431376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i + 9. Let f(p) = -6*p - 11. Let j(s) = -6*f(s) - 7*t(s). Let v be j(-1). Solve -r = -4*a + 6 - 24, -3*a - v = -3*r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (155 - 23 - 21)*(20 - 20 - 10*k)*(-k + 0*k + 2*k) to the form m + r*k + i*k**2 and give i.\nAnswer: -1110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + 3*h**2 + h**4 + 253*h**4 + 23*h**3 - 738*h**4 - 23*h**3 + (-3*h**2 + 5*h**2 - h**2)*(-4*h + 4*h + 2*h**2).\nAnswer: -482*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*r = 6880, -2*r = w - 427 - 937. Let z be 9\/(-15) + w\/20. Suppose -2*a + 6*a = z. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (1 - 5) - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65100 by 372.\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -o - 2*b, -4*o - 4 + 8 = 2*b. Let h be ((-5)\/o)\/((-15)\/12). Suppose 0 = 3*s + 3*v - 15, 3*s + 2 = -v + 21. Solve t = h - s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 0 + 0*y + 1\/6*y**3 - 1\/20*y**5 + 1\/40*y**6 + 1\/12*y**4 - 3*y**2. What are the prime factors of f(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -0.1 (b) -2\/5 (c) -4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334566312.\nAnswer: 2, 3, 1039, 13417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 20544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 815 is divided by 224?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -270757, -267799, -262869, -255967, -247093, -236247, -223429?\nAnswer: -208639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**4 - 603654*z**3 + 6036237*z**2 + 603654*z - 6036240 = 0. What is z?\nAnswer: -1, 1, 10, 201208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2344 (base 5) to base 3.\nAnswer: -110221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.565352 centuries to decades.\nAnswer: 75.65352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2651 = 616*m - 13981 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-115290)\/252)\/183*(-5 - -51)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2421 is divided by 202.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -106 - -76 - (24 + 2 + -6)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 613 - 313. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71 (base 10) to base 15.\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u - 20. Let q(n) = n**2. Calculate q(k(m)).\nAnswer: 4*m**2 + 80*m + 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 2*f**2 - 3*f + 4. Let x be -6*((-3)\/2)\/3. Suppose -9 + 0 = -x*l. What is the units digit of z(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -98*f**5\/15 + 13454*f**4\/3 - 3678284*f**3\/15 - 3613768*f**2\/3 - 9417968*f\/15 - 260416\/3 = 0.\nAnswer: -4, -2\/7, 65, 626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 + -11. Let d = t - -98. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -0.3 (c) -1547063\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2402741 and 2402741?\nAnswer: 2402741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3*v - 74, -2*c + 94 = 4*v - 2*v. Is c a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 2 + 4*y**2 + 2 - y**2. Let z be t(0). Solve 0 = -3*u + 10 - z for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 5 + 1)*(2 - 4 + 1) - 2 - 3 + 4 + (-2 + 6 - 3)*(1 + 0 - 3) + 1 - 1 - 1 + 1 - 2 + 0)*(-2*r + 2 - 2).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i. Let o be p(4). Let k(r) = -r**3 + 5*r**2 + 7*r - 3. Let q be k(6). Suppose 0 = -2*z - q*z + 210. Calculate the highest common factor of o and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**2 - g**2 + 13*g**3 - 4*g**2.\nAnswer: 13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1313 - 1311. Sort o, -1, -188, 3.\nAnswer: -188, -1, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 537458276*v**3*z**2 + 905959*v**2*z + 4*z**2 wrt v.\nAnswer: 3224749656*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 times 0.515082?\nAnswer: -24.208854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 + 47*m + 162. Let g be l(25). Solve 81*b - 24 = g*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 8*h + 113. Let y(r) = r**2 + r - 27. Let p(u) = -v(u) - 4*y(u). What is p(3)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)*u)**(-39)*u**(3\/7)\/(u*u\/(u\/u**(-10\/7))))**29 assuming u is positive.\nAnswer: u**(174\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 11*b**3 - 2*b**2 + 1. Suppose -15*h - 29 = -44. What are the prime factors of g(h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1060161\/4 + -265038. Factor -3\/2 - 3\/4*u**2 - h*u.\nAnswer: -3*(u + 1)*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.0493 and 61?\nAnswer: 735.0073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**0))\/((f\/(f*(f**(3\/5)\/f)\/f*f))\/f) assuming f is positive.\nAnswer: f**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-72)\/(-224) + (-2)\/(-8). Let r = -77 - -166.7. Let c = 90 - r. What is the smallest value in 0.2, 3, h, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 4*c - 8. Suppose 0*t - 18 = 3*t. Let a be x(t). Suppose 0 = -a*y + 62 - 6. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1296 - 1091 + 2036)*(-2*v**2 + 4*v**2 + 5*v**2) to s*v + x + c*v**2 and give c.\nAnswer: -2457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/23 - 20\/69. Let d be (-5)\/(-6) - (-5 + 6). What is the nearest to -2\/7 in 2, d, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 11*k**2 + 4*k - 15. Let g(f) = 5*f**2 + 2*f - 7. Let u(y) = 6*a(y) - 13*g(y). Give u(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3943240039?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 + 529*g + 530*g - 373*g**3 - 2120*g + 532*g + 529*g.\nAnswer: -373*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4422630, -4422624, -4422618, -4422612, -4422606, -4422600?\nAnswer: -4422594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*3 - (18 + -18). Suppose 0 = c + s, -5*z + 2 = -z + 2*c. Solve d = z*g - 7 - 3, 0 = -3*d - g - 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -289.0000346 - -289. What is y rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228.8 rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*s + 39. Let r(t) = 5*t**3 - 4*t - 4. Let p(o) = 11*o**3 - 9*o - 9. Calculate s*r(x) + 4*p(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 768*s + 990*s + 477*s + 16*s.\nAnswer: 2251*s + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006457 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/(-7))\/(128\/((-247296)\/414)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -189 * -737945\nAnswer: 139471605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -42*h**3 - h**2 + 18*h + 89. Let z be w(-3). Is 1161 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137202 = -423*i + 384*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 3*v - v**3 - 10*v**3.\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -3 + -1 + -13 + (232 - 237)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13233570*j*s**4 - 45847243*j*s**2 wrt s.\nAnswer: 317605680*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12.53317*0.2\nAnswer: -2.506634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1784724, -3569481, -5354236, -7138989, -8923740, -10708489, -12493236?\n\"Answer: l**2 - 1784760*l + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/555 and -47\/5.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-12))\/(1477112\/546). Is d smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*p - 807*p + 19072 = 0 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -814 or -2048?\nAnswer: -814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -797, -1617, -2439, -3263, -4089, -4917?\n\"Answer: -o**2 - 817*o + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 8330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100011010010010100000 (base 2) in base 7?\nAnswer: -120206306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 44.3. What is the closest to 0 in 0.4, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*11\/(-264)*-4. Let d(z) be the first derivative of 0*z + 5*z**5 + 0*z**4 - 2\/3*z**3 - 23 + s*z**2. What is the third derivative of d(f) wrt f?\nAnswer: 600*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, m: 1, r: 4, u: 3, p: 2, d: 1}. What is prob of sequence drmt?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -228, -243, -282, -351, -456?\n\"Answer: -r**3 - 6*r**2 + 10*r - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 28711339 in descending order.\nAnswer: 28711339, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 532056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -344708, -344709, -344710, -344711, -344712?\n\"Answer: -u - 344707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -8*g**3 + 5*g + 3. Let j be x(-3). Suppose -3*c = -6*c + j. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 163, 324, 485, 646?\n\"Answer: 161*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 21*l**2 - 53*l - 5. Give c(-18).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, h: 8, l: 2, q: 1, y: 2, i: 1}. What is prob of picking 1 y and 1 x?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 52736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -40*t**3 + 5*t**2 - 10*t - 13. Let o(a) = -2*a + 13. Let m be o(8). What is the hundreds digit of v(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 32?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -182700 divided by 63\nAnswer: -2900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b**2 - 13*b**2 + 20*b**2.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 34*c**5 + 10*c**2 + 8. Let s(z) = -23*z**5 - 7*z**2 - 5. Let h(u) = -5*g(u) - 8*s(u). Find the third derivative of h(i) wrt i.\nAnswer: 840*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3193*k**3 + 3184*k**3 + 3183*k**3 + 3188*k**3 - 12726*k**3.\nAnswer: 22*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, s: 5, w: 6}. What is prob of picking 2 s and 1 w?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 - 45. Suppose -20*b + 12 = -16*b. Solve 8*f - b*f = m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/1*1\/2. Suppose w*t - 11*t - 3*t = 0. Solve 4*x = -0*b - 5*b, t = 2*x - 3*b for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-6)*3\/2. Suppose 3*u + 5*b - 21 = 2*b, 4*b = y*u - 14. Solve 5*r + 3 = -j, 3*r - 3*j = -8*j + u for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20320 - -20352.92. Which is bigger: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113574612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/7296 and -89\/4864?\nAnswer: 14592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*u - 21 = 0, -2*l + 0*u = 2*u - 18. Let m = 27 - l. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -3. Suppose w*v + 150 = 3*v. Calculate the highest common divisor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/15 + -1 - (-96)\/72.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338492914.\nAnswer: 2, 2063, 82039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -29. Which is bigger: s or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from tsfss.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -221 + 220.7. What is the nearest to -2\/7 in 65, -1\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z**(-4\/9)*z))**7 assuming z is positive.\nAnswer: z**(-98\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/2 of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 2) + 12 + -2. Suppose -3*t = -3*d + 3, 24 = 4*d + 2*t + h. Find the second derivative of d*o**2 - 2*o - 3*o**3 - 3*o**2 + 0*o wrt o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 11:23 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -440*-51.379\nAnswer: 22606.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 101758854 to the power of 1\/3, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 6*l = -3*l + 4, l = 2*r + 1. Let f be ((0\/(-6))\/3)\/r. Are f and 2\/25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -11, 2\/9.\nAnswer: -11, -2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - m)*(-2*m**2 + 2*m**2 + 5*m**2) + (4*m - 2*m - 6*m)*(-2 + 4*m**2 + 2).\nAnswer: -21*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 11634902?\nAnswer: 116348a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1707*s**4 - 63 wrt s?\nAnswer: 6828*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (2 + 3 - (-87 + 114)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.93079 less than -594654?\nAnswer: -594716.93079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (2 + 22)) + (0 - (-2 + -7)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*v + d, -v + 3*d + 12 = -6. Solve -v*r = 3*j - j - 2, -r - j = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12499.8024 - -0.1976. Which is greater: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 576 and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -x - 11, x - 5*r - 19 = -2*r. Let k be 54\/x*6\/9. Let w be 5*k\/15*1. Let t(u) = -u - 1. What is t(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -223 - -1?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/5 + ((-47448)\/15)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n + 156 + 76 = 0. Let g(t) = t**3 + 3*t**2 + 6*t**2 + 11 + 7*t - 4. Is g(n) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05197 + 0.0519704613. Round m to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*h, 4*h = -b + h + 40. Suppose 5*n + 1 = 5*o + 71, 3*n - 5*o = b. Is 4 a factor of -4 - -2 - (-1 - n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**4\/8 + 108823*p**3\/8 - 136035*p**2\/2 = 0.\nAnswer: -108828, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10167642 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -2.53, 1\/3, -0.2, 0 in decreasing order.\nAnswer: 1\/3, 2\/13, 0, -0.2, -2.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/5 + 6\/(-15). Let n = z - -4. Solve -k + 1 - 3 = n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. Let w(n) = -n + 2. Let f be w(q). Let l(r) = r**3 - r**f + 1 + 0*r**3 + 0. What is l(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(6\/4*-2). Let m(x) = x**2 - x + 121. Let v be m(o). Suppose 96 + 63 = 3*y - 3*b, 2*y - 5*b - v = 0. Calculate the highest common divisor of y and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-184)\/138)\/(14\/(-21)). Let o = 18 + -5. Which is the third smallest value? (a) s (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 + 1400*x**2 - 103360*x + 739840.\nAnswer: -5*(x - 136)**2*(x - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence owwo when four letters picked without replacement from ywwyywoyywwo?\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 4*f + 16 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 - 3)*(2 - f - 3*f + 3*f)*(55*f + 14*f - 20*f).\nAnswer: 441*f**2 - 882*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/280420065 and 47\/3?\nAnswer: 280420065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(76) + 1))**2 - sqrt(76).\nAnswer: 98*sqrt(19) + 1925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 4*o - 693 + 770 = 0, 6*o = y - 133 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 3. Let w be z(7). Let v be ((-6)\/72)\/(1\/w). Find x, given that -1\/6 + v*x - 9\/2*x**5 - 7*x**3 + 21\/2*x**4 + 1\/3*x**2 = 0.\nAnswer: -1\/3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 14966637*l - 1 + 14963504*l to v*l + w and give v.\nAnswer: -3133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*t**3 + t**3 - t**2 - 4*t**3 + 6*t**2 wrt t.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**2 - 3*u - 2*u**2 + 3*u.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 9187 - 2484 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b. Let k(q) = q**3 - 2*q + 1. Let x be k(2). Let w(n) = 123 - x*n - 123. What is w(h(r))?\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 255607264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, k: 4, r: 7, u: 1, x: 3}. Give prob of sequence rkr.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 989.754118637?\nAnswer: 987.754118637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13765 + 2725 = -23*f. Is f a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -37547 (b) 5 (c) 164\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {e: 2, g: 5, s: 2}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2274 + 2276. Let a(x) = 25*x**2 + 1. Let s be a(-1). Calculate the highest common factor of f and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 222 + -331. Let l = 155 + u. Let i = l - 41. Solve -a + 3*t - 2 = 0, i*a - 2*t + 3 - 6 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -713 - -1427\/2. Let k be 2 + -1 + -1 + 2. Factor 1\/2*l**k + p - l.\nAnswer: (l - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*t + 83 + 163 + 150. Solve -3*u = 9, w - 3*u - t = 2*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 33 + -24 + (-10 - -7) + 6 + -6.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 18) + (28 + -46 - -33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0554 + 0.1554. Sort -12\/7, g, 5.\nAnswer: -12\/7, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b + b - 7*b + 22*b + 19*b.\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 34973 + 25147. Let k be o\/130 + 2\/(-13). Suppose y + 4*y - 108 = -d, 0 = -2*y + 4*d + 52. What is the greatest common divisor of k and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3521057100 to the nearest integer?\nAnswer: 59338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k - 19. Let d(c) = 2*c + 11. Let s(y) = 5*d(y) + 3*t(y). Calculate the remainder when 72 is divided by s(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y. Let t(m) = -49001*m**2 + m. Let g(p) = 2*i(p) - t(p). Let o be g(-1). Round o to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44624051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -4. Suppose -y + x*y - 6 = 0. Suppose -5*b - 14 = -4*z, -24 = 2*z - 5*z - 3*b. Calculate the highest common divisor of y and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**3 - 2*x**3 + x**3)*(167*x + 63*x - 53*x).\nAnswer: 708*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 52*h**2 - 54*h**2 - 3 to l + j*h + m*h**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 0.051, 3, 114, 59.\nAnswer: -5\/2, 0.051, 3, 59, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -0.2. Let g be 2\/(-12)*2*2. Which is the closest to 0.1? (a) 4 (b) g (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -45986, -91946, -137904, -183860, -229814?\n\"Answer: t**2 - 45963*t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(153) + 5 + sqrt(153)*2 + -2)**2 + (-3*sqrt(272)*3)**2 + -4.\nAnswer: 72*sqrt(17) + 24485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 12*u**2 - 9*u - 14. Let p be g(11). Which is greater: 7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96435071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2145, -4284, -6421, -8556, -10689, -12820, -14949?\n\"Answer: s**2 - 2142*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 - (81\/45 - 1\/(-5)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80996*v**4 + 2*v**3 + 478618*v**2.\nAnswer: -1943904*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 3*a - 3. Suppose 4*o + 5 = 13. Sort o, a, 1 in descending order.\nAnswer: o, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 431 + -5532?\nAnswer: -5101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -522*p + 19131 + 52589 = 209*p - 2842 for p.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198093333?\nAnswer: 3, 17, 3884183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5 + 7 = 0. Let b be ((-12)\/9)\/(r\/(-18)). Suppose -4*s + b = -s. What is the remainder when 5 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 4) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -5.16.\nAnswer: 3.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28248919?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/((-128)\/20) + (-57)\/4860*-95. Which is bigger: g or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**2 + 5778528213*y - 5778528213*y.\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 17611267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85848 and 21168?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313303 (base 6) to base 3.\nAnswer: -1021211010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 30*n - 195. Let s be p(-10). Solve 0 = 3*t + 5*j - 12, 4 = 2*t - s*j + 7*j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 j when three letters picked without replacement from {a: 2, j: 2, w: 3, r: 8}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559 = -11*p + 482. Let r(s) = -s**3 - 8*s**2 - 10*s - 7. Give r(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17368 (base 10) to base 14.\nAnswer: 6488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2764847859.\nAnswer: 3, 1667, 552859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*s**3 - 267*s**2 + 143*s**6 + 92*s**6 + 16*s**3 - 7*s**3 wrt s?\nAnswer: 28200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 156 - 84 = 0. Let w = -42 + n. What is the third derivative of 3*f**6 + 8*f**6 + f**w + 2*f**2 wrt f?\nAnswer: 1440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40.943 + 41. Let y = -0.057 + i. Which is the smallest value? (a) -5 (b) y (c) -2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 38939, 76379, 113819, 151259, 188699?\n\"Answer: 37440*y + 1499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1568)\/(-24) + (-15)\/(-9). Suppose p = 2*s - l - 28, -5*p - 34 = -s. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -16*s**3 - 4*s**2 + 4. Let p = -5270 - -5274. Let q(j) = -32*j**3 - 7*j**2 + 7. What is p*q(f) - 7*b(f)?\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.13, 182, -1\/10, 4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -249 in increasing order.\nAnswer: -249, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -r - 10, -62*r + 6 = -63*r - 3*p. Solve r = -5*n + 4*b - 6*b - 12, 4 = -n - 2*b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 391, -2\/21, 5?\nAnswer: 391","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1204001081*g**2*k + 237*g*k + 81697*g + 4*k wrt g?\nAnswer: 2408002162*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {f: 3, a: 3, y: 8, o: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((2*92\/(-8))\/2)\/(12*(-7)\/672)\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14391701 is divided by 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 + 3*n + 16. Let o be u(5). Let t(b) = -4*b - 1. Calculate the remainder when t(o) is divided by (-76)\/(-6)*(-15)\/(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/103 (b) 0 (c) -5\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 66*w**2 - 4*w - 2. Let q be c(1). Calculate the highest common divisor of 260 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/4238 and 7.\nAnswer: 4238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2646 + 9041. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 11) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*r**2 + 25 + r**2 + 8*r**2 - 6*r + 3*r**2 in the form l*r + a + p*r**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -278 + 458. Is o a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5933, 5934, 5935?\n\"Answer: q + 5932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(20)*-1 - (3*-2*sqrt(20) - sqrt(20) - sqrt(20)))\/(-2*sqrt(576)*5).\nAnswer: -sqrt(5)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*u + 70*u - 870 - 9874 = 0 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/72)\/(-4*(-28)\/24).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2813 + 75?\nAnswer: -2727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p = -13*p - 864. Suppose 33*v = 57*v - p. Solve 4*t - 15 = i, 2*i = -i + v*t - 18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21*-48.3\nAnswer: 10.143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**4 + b**2 + 0*b**4 + 11*b + 70*b**3 - 10*b - 4*b**2 in the form o*b**3 + s*b**4 + z + f*b + a*b**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, -1, -21, -61, -127, -225?\n\"Answer: -f**3 - f**2 + 4*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-6 + 2))\/(3\/1). Determine m so that 1\/2*m + 1\/2*m**2 + t = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 561568 to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(3159) + sqrt(3159) + -4*sqrt(3159) + sqrt(39) + sqrt(39))\/sqrt(3) - sqrt(520)\/(sqrt(90)\/sqrt(9))).\nAnswer: -54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 199264 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 9*d**2 + 3*d - 12. Let a be h(-4). Calculate the greatest common factor of 182 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*y - 622*y - 126*y = -96*y + 50112 for y.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of g**4\/4 + 8*g**3\/3 + 9*g**2\/2 + 3*g + 5. Is z(-6) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33045 and -0.3.\nAnswer: 33044.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131805, 263609, 395413?\nAnswer: 527217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxxqaqxxxqxxaqx. Give prob of picking 2 x and 1 a.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, m: 1, s: 1, q: 1, i: 1, j: 2}. Give prob of sequence rmi.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5573 + -5556. Solve 4*b + 16 = -l*v + 19*v, b - 5*v + 13 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 2:01 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5e (base 16) to base 6.\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a microsecond in nanoseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**5\/20 + 233*y**4\/12 + 5344*y. Determine k, given that g(k) = 0.\nAnswer: 0, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**14*v*v**(11\/4)*(v\/(v*v**(-13)))**(-25\/6) assuming v is positive.\nAnswer: v**(-425\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1328, -1330, -1332, -1334, -1336?\nAnswer: -1338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 8950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -1\/2*g**2 + g + 10\/3*g**3 + 4. Give k(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 83 - 92 = 0. Let s(g) = -g**2 - 2*g + 30. Let o be s(-6). Solve l = r + o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 30 = -5*d, -3*y - 4*d = -21 + 56 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 - 138855*a**2 + 14449032*a - 375745136.\nAnswer: -(a - 52)**2*(a + 138959)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -162*g**3 - 1360090044*g**2 + 604484488*g - 67164944.\nAnswer: -2*(g + 8395618)*(9*g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 98359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(3 - (-2 - -6)). Let g = r + 54. List the prime factors of g.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 78*q**2 - 80*q + 798. What is the tens digit of m(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbcwwcyccc. Give prob of picking 1 y and 2 w.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -13*c**5\/5 + c**2 - 13. What is the second derivative of y(u) wrt u?\nAnswer: -156*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 279 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2583\/171 - (-60)\/(-4)) + (-180)\/266?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 46*v - 41. Let q(c) = -71 + 11*c + 23*c + 50 - 11*c. Let l(b) = -7*q(b) + 4*s(b). Find the first derivative of l(y) wrt y.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 575*d - 465*d - 8)*(365*d - 365*d - 26*d**2).\nAnswer: -2860*d**3 + 52*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 4*u + 1. Let w be h(-4). Let a be (w + -3 - -2) + 15. What is the highest common divisor of 135 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2175048?\nAnswer: 2, 3, 17, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 375136 and -68149169?\nAnswer: 68524305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 748.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, h: 7}. Give prob of sequence jjj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*b + 10, -12 = 4*m + 8. Let p be 3*(b + 1) + -1. Calculate the highest common factor of p and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10991.7 - -11651. What is g rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(-13 + 7*t + 13 + (1 + 4 - 6)*(2*t - 3*t + 3*t) - 2*t + 0 + 0).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1502576 and 0.4.\nAnswer: 1502576.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16677.2 - 16677. Sort -0.4, 3\/2, d, -0.081, 3 in decreasing order.\nAnswer: 3, 3\/2, d, -0.081, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -414*d**3*m + 3*d**3*r - 933*d**3 - 748*d**2*r + 110814*d*m*r + 3*d + 2*m*r - 2 wrt m?\nAnswer: -414*d**3 + 110814*d*r + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 467114595 to the nearest integer?\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 861*l**2 + 838*l**2 - 1678*l**2. Let t(u) = 9*u**2. What is k(t(o))?\nAnswer: 1701*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67681979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2423*x + 3 + 803*x + 811*x + 806*x. Let c(m) = -m - 1. Determine 5*c(n) + d(n).\nAnswer: -8*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 563 divided by -1?\nAnswer: -563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 866 - 965. Which is the closest to -2\/7? (a) o (b) 0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 66*t**2 + 307*t - 75. Let v be z(61). Solve -42 = -v*j + 52 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4497 to the nearest 10.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 - 1)*(17*k**3 - 5*k**3 - 8*k**3)*(6*k**2 - 2*k**2 + 0*k**2).\nAnswer: -80*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -401 + 570. Let a = z + -162. What is the least common multiple of a and 13?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 3*j + 3. Let l(u) = -12*u**2 + 32*u + 32. Let k(c) = -3*l(c) + 32*y(c). Let f(v) = -6*v**2. Give f(k(o)).\nAnswer: -96*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*t - 4*i - 2, -40 = 5*t - i. Let o be 22\/99 - (-16)\/9. Let y = o - t. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.25 - 1.75. Is 1 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 11*i + 61. Let u be t(-5). Suppose 50 = u*h + 4*h. Solve 0 = -h*y + y + 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(3\/(-31))*((-27)\/33)\/(1395\/5115).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*u - 45 = 5*u, 4*f - 2*u = 60. Solve s + 5*h = -0*s + f, 1 = s - 2*h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-11))\/(40\/(-57) - (-130)\/3705).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*-3*1\/(-3). Let m = -154 + 154. Which is the nearest to 0.1? (a) 3 (b) g (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 15*d = 0. Solve d*f + 4*f = 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from noquufy. Give prob of sequence oy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 3*t + 5*m - 8, t - 4*m = -1. Sort t, 2, -10.\nAnswer: -10, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + g - 11 = i, -5*i - 4*g + 2 = 0. Let h be 6\/10 - (1 - 1). What is the nearest to 0.1 in h, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -686 - -716. Solve -5*c = c - z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 11*k + 13. Let q(v) = -4*v - 5. Let g(t) = -17*q(t) - 6*w(t). Determine g(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-468)\/(-11232)*(-12)\/5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 357.0209 centuries?\nAnswer: 35702.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -68793580.6 to the nearest 1000000.\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-84))\/((-354)\/4956)*1\/(-80)?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-432)\/108)\/(((-4)\/6)\/((-4)\/3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 8037260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 11. Is 8 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 2*b**3 + 3 - 2)*((3*b**2 + 0*b**2 + b**2)*(-4 + 0 + 2) + b**2 - 4*b**2 - 2*b**2).\nAnswer: -13*b**5 - 13*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-26)\/65)*(-2)\/(-6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.539328 micrograms to tonnes.\nAnswer: 0.000000000004539328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - 1. Let r = p + -1. Let s = -2 - r. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -50*k**3 - 9*k**2 - 10*k - 14. Calculate r(-3).\nAnswer: 1285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1791e8 - 0?\nAnswer: 1791e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.00368627 rounded to four dps?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*d**2 - 219*d**2 + 148*d**2.\nAnswer: -248*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 1. Let y(o) = 5*o - 5. Suppose 4*c + 9 = 3*p, -5*p = 4*c + c + 20. Let u(r) = c*a(r) + y(r). What is u(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.014 - 0.314. Let c = -0.24 + -0.06. Is c at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/10 + (-1342)\/220 + 11. Which is the third biggest value? (a) 1\/3 (b) w (c) -433.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14551665*n - 43368530.\nAnswer: 14551665","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 13*u**2 - 17*u + 10. What is y(-5)?\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 179 = 3*f + 3*b, -4*f - 5*b = 192. Suppose 0 = 2*p - 5*a - 21, -2*a - 16 = 3*p - 0*a. Is (-1 + 3)\/(p\/f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51725681 + 2?\nAnswer: 51725683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 6*a - 7. Let i be h(4). Suppose 3*l - 34 = -z - i, 5*z - 15 = 0. Solve -l = -2*x - 0*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 12) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*g**2 - 74001*c**3 + 5144*c**2*g**2 + 5*c**2 wrt c?\nAnswer: 6*g**2 - 444006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 25 = 4*x. Solve -x*f - 12 = -f, 2*f = -3*w + 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (238*z - 1 - 48*z + 2)*(1 - 1 - 1).\nAnswer: -190*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(27\/15)\/((-189)\/315)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1722, 1723, 1724, 1725?\n\"Answer: d + 1721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -1009*o + 1969. What is q(2)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-1)\/(3\/51)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 675 + -645. What is the remainder when 166 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 4*r**2 + 3*r + 3. Let n be l(-3). Solve j + 0 = n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2216, -2223, -2236, -2255?\nAnswer: -2280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -21396294*o**2. Let p(g) = -6*g**2. Give i(p(c)).\nAnswer: -770266584*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/5)\/(((-140)\/50)\/((-16)\/10))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-5)*(7 - 2). Let d(p) be the first derivative of -3*p**2\/2 + 12*p + 1080. Let n be d(j). Solve 4*k = -r - 24, n = 2*r - k - 0*k + 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -56, -69.5, -2?\nAnswer: -69.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33646981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*t + 32, 3*t = -t + 8. Let m = h + -14. Find the second derivative of 4*y - 11*y**5 - m*y**5 + 19*y**5 wrt y.\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166878\/1606 - (44 - -60).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 14*i - 3. Suppose 4 = -4*v + 12, 2*w = v + 12. Is f(w) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(3*h - 4*h + 0*h) + (-1 + 0 - 1)*(-h - 2 + 2) - 5 + 2*h + 5 + 4*h - h - 8*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/69, -47, 7, -4, -1 in decreasing order.\nAnswer: 7, 2\/69, -1, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11607670, 11607669, 11607666, 11607661, 11607654, 11607645, 11607634?\nAnswer: 11607621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-12) - 11\/44. Factor 0 + 1\/6*f + p*f**2.\nAnswer: f*(f + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 97*l - 63. Determine m(-96).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 1099*w - 1100*w. Let v(f) = 7*f**2 - 6*f + 1. Let g be v(4). Let k = w + g. What is the remainder when k is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 - 45. Suppose 0 + 60 = -4*p. Let l be (-2064)\/p + 2\/5. What is the highest common divisor of h and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5601899*j**5 - 8776960*j**2 wrt j?\nAnswer: -336113940*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 3*s - 41 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158330795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 24*m + 2. Let c be k(-27). Suppose -w + 16 = 2*y - 57, -3*y = -w + c. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.07, 176.32, -5 in decreasing order.\nAnswer: 176.32, 0.4, 0.07, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 10*t - 6*t - 1130, 3*d - 1684 = 5*t. Let l = -360 + d. What are the prime factors of l?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*a = 12. Let h be ((-4)\/6)\/(4\/a). Suppose -88 = -h*n + n. Does 26 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52697?\nAnswer: 52697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -12. Which is the closest to -2\/5? (a) 3 (b) q (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23985233?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/1 - (9 + -11 + 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 536, 349, 162, -25?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4595 = 5*z, 938 = 4*z - 3*z - 4*u. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 16242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*w**3 + 105*w**3 + w**3)*(4 + 3 - 4)*(-1 + 2 + 1).\nAnswer: 774*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2190962*a**2 - 12*a.\nAnswer: 2*a*(1095481*a - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3450728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3224, 18203, -0.3 in descending order.\nAnswer: 18203, 3224, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 49364914691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 446286701?\nAnswer: 1785146804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/18)\/(64\/(-96))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -202, -454, -818, -1300, -1906, -2642, -3514?\nAnswer: -4528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -682, -669, -656, -643?\n\"Answer: 13*m - 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (66\/18)\/((-831)\/(-414) + -2). Let v = 886 - a. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -21, -28, -37?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 343752*l + 20. Suppose -3*j - 2*j = -20. Let k(u) = -u - 1. Let w(v) = j*k(v) + f(v). Let y be w(8). What is y rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*u - 176*u**3 + 88*u**3 + 6*u**2 + 92*u**3 - 600*u**3 wrt u.\nAnswer: -3576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -48 (b) 1 (c) -2\/5 (d) -9 (e) -0.5 (f) -4.5 (g) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*-2*sqrt(5))**2.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) -41\/5 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + (4*sqrt(15)*1)\/sqrt(5))**2.\nAnswer: -8*sqrt(3) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**5 + 120*b**4 - 8766*b**3 - 373368*b**2 - 364485*b = 0 for b.\nAnswer: -47, -1, 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - -61 - (-5 - 16) - 2.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0*d + 35. Suppose -j = -d + 1. What is the remainder when 2289\/7630 + 114\/20 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(2\/3)\/k))**35\/(k**(1\/8)\/((k\/(k\/(k**(-2)\/k))*k)\/k))*((k*k\/k**(-1\/5))\/k)\/(k**5*k*k)*k**(-6)*k\/(k\/k**(-3\/4)) assuming k is positive.\nAnswer: k**(3719\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 124c (base 16) to base 2\nAnswer: 1001001001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6024 and 37164.\nAnswer: 18656328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 18440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 47. Calculate the remainder when p is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*h - 0*h. Suppose z - h = 54. What is the remainder when z is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*x + 2*x - 2*x)*(-3*x + 0*x + 5*x) + 0 + 0 + 2*x**2)*(x + 5*x - 2*x) + x**3 + 1 - 1.\nAnswer: 25*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p + 807 - 849 = 0. Factor -15\/4 + 21\/8*o - 3\/8*o**p.\nAnswer: -3*(o - 5)*(o - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4406553 a multiple of 1411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 8*o**3\/15 - 794*o**2\/15 - 3098*o\/15 + 824\/15 = 0.\nAnswer: -4, 1\/4, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**4*v*v*v*v**(-16)*v**2\/v*v**(-11)\/v assuming v is positive.\nAnswer: v**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkppx. What is prob of picking 1 k and 2 p?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmzzm. Give prob of picking 2 m and 1 z.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 + -10. Let k = g + -43. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.038, 3414, -27, 0.26, -0.4?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27865898 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1996d (base 16) to base 13\nAnswer: 38927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4461 - -4471. Solve 4*h + 2*v - i = 0, 2*v = -5*h - v + 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19413.55l to millilitres.\nAnswer: 19413550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48374, 48439, 48544, 48689, 48874, 49099, 49364?\nAnswer: 49669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 0.1, -27, -36, 3.\nAnswer: -36, -27, 0.1, 2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325508701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t + 115 = 521. Suppose -t*a + 24 = -25*a - v, -4*a - 4*v + 4 = 0. Solve -n - 3*s + 4*s - 3 = 0, -3*n = -a*s + 11 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -x + 3. Suppose -15 = -d - j, -2*d + 4*j + 44 = 2*d. Suppose -x*m - 5*u = -16, -3*m - u - u = -d. Solve p - 7 = -m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 + 407*m - 22590. Calculate c(72).\nAnswer: -3654","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8064, -15994, -23926, -31860, -39796, -47734, -55674?\nAnswer: -63616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 226694 and 102297.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + -2 + -87 + 58?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -1299*w - 19496. Calculate c(-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13074959?\nAnswer: 13074959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 + 3*n + 15. Let q(a) = -3*a**2 + 6*a + 29. Let l(z) = -6*q(z) + 11*v(z). Let o be l(6). Let f = 252 + o. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -123 + 1?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 53. What is the common denominator of 4\/v*444\/22 and -53\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**2 + 126425*s - 46706250 = 0.\nAnswer: 375, 24910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 6:07 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**3 - v**2 - 2*v - 2. What is the lowest common multiple of a(-1) and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -137 + 141. Let k(m) = s*m + 5 - m**3 + 8*m**2 + 0*m - 13*m. What is k(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d - d + 0*d)*(3 - 2 - 2) + 2*d - 26 + 14 - 3*d + (-2*d - 2*d + 6*d)*(5 + 0 - 3) + 4*d - d + 16*d to x + q*d and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02129599654 to four decimal places.\nAnswer: 0.0213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {l: 1, s: 11, v: 3}.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 + 217553*u + 47329307809.\nAnswer: (u + 435106)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 30904 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*o + 14*o**2 - 121*o - o**2 - 115*o.\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 816\/(-6664)*(-1)\/((-16)\/(-28)).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1656, -1646, -1622, -1578, -1508, -1406?\n\"Answer: j**3 + j**2 - 1658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247593776.4 rounded to the nearest 100000?\nAnswer: 1247600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -93, -95, -97?\n\"Answer: -2*m - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5107, 11258, 18419, 26590, 35771, 45962?\n\"Answer: 505*z**2 + 4636*z - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpt when three letters picked without replacement from {o: 10, b: 2, t: 3, f: 2, n: 1, p: 1}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**3 - 469*v**2 - 113*v + 689. Give r(-117).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 713\/28 - 250\/7. Calculate the common denominator of -3\/20 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*f**5\/3 + 694*f**4\/3 + 3714*f**3\/5 - 1166*f**2\/3 - 45496*f\/15 - 10648\/5 = 0. Calculate f.\nAnswer: -66, -11\/5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2397454, 4794921, 7192388, 9589855, 11987322?\nAnswer: 14384789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 22 = -3*a, 216*a - 221*a - 15 = 2*w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t - 17. Let n be d(-7). What is the second smallest value in -3\/4, -0.08, n, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8995 is divided by 225?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24701 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**8)**50*(v\/v**7)**(-10\/7) assuming v is positive.\nAnswer: v**(2860\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 5*u**2 + 3*u + 2. Let p be o(-2). Suppose -p*j = -4*j - 56. What is the remainder when j is divided by ((-94)\/(-235))\/(1\/20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 17\/2 of a millennium?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 2 = 4*j. Suppose n + j*r - 10 - 25 = 0, 2*n - 3*r = 26. Let u(q) = q**3 + 6*q**2 - q + 4. Calculate the remainder when n is divided by u(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -649.8 times -6.69?\nAnswer: 4347.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 57 = -99. Let b = -1406\/9 - d. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -109*i**8\/42 - 2045*i**4\/12 + 4158*i**2. What is the second derivative of k(x) wrt x?\nAnswer: -17440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*v**3 - 118*v**3 + v + 90*v**3 + 33*v**3 + 15*v**3 - 50*v**2 to the form p*v**3 + k*v + t + q*v**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(-2827 + i - 689 + 624).\nAnswer: 2*i - 5784","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2 + 6*z**3 + 11*z**3 + 15*z**3 + z**2 + z - 34*z**3. Let r(o) = 52*o**3 - 40*o**2 - 8*o + 48. Let b(q) = 24*j(q) + r(q). Factor b(a).\nAnswer: 4*a*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 12*v**2 + 4*v + 2. Let w = 13 - 16. What is the remainder when p(w) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2. Let o(m) be the third derivative of 0*m**3 + m**2 + 0*m - 1\/6*m**4 + 0. Determine p(o(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - i + i)*(i - 4*i + 4*i) + 9*i**3 - 14*i**3 + 8*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b + 392*q = 396*q - 518, -2*q - 60 = -3*b for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 115 + d90?\nAnswer: ea5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 3. Let d(w) = -w**2 - w + 921. Calculate the remainder when d(29) is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(144) + sqrt(144))*-3)\/(4*sqrt(8)*-1))\/((sqrt(72)*2*2)\/(-6*sqrt(432))).\nAnswer: -81*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/68 - 11\/4*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.05 and -4509278.\nAnswer: -4509277.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15185*y - 15341*y - 2964 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 84827418 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: Collect the terms in -48*q**2 + 21*q**2 + 18*q**2.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - 19*j - 80. Let h be i(-10). Calculate the greatest common factor of 30 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -15*v + 63. Let f(w) = 8*w - 29. Give 13*f(p) + 6*o(p).\nAnswer: 14*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 + 36*l + 42. Let h be j(19). Solve -32 = h*a + 4*r, 5*r - 2*r + 12 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -15112*q**2 - q**3 - 3*q + 13*q**4 + 15112*q**2 + (23*q + q**2 - 23*q)*(4 - 4 - 2*q**2) as u*q**2 + w*q**4 + f + o*q + v*q**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 35.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 9 = -2*g - 35, w - 2*g = 11. Suppose 55 = -0*d + w*d. Let y(r) = r**2 + 2*r - 1. Calculate the lowest common multiple of d and y(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 592 and 5292702?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + h + 1)*(3 + 2 - 3) - 7014*h + 13772*h - 9 - 5818*h to the form q + i*h and give i.\nAnswer: 942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1349*u**4 - 377?\nAnswer: -5396*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102211220100 + -11?\nAnswer: -102211220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.98 + 3.98. Let f be (-176 + 182)*2\/4. Which is the second biggest value? (a) s (b) 25 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 236952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5445) - -2*sqrt(5445)) + sqrt(5445))\/(-1*sqrt(441) + sqrt(441) - sqrt(441)))**2.\nAnswer: 9680\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + 9)*(-6)\/(-4). Suppose 3 = 3*c - h. Suppose c*b - 240 = 333. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-11) + 42\/11. Suppose 2*j = -2*w - 25 - 1, -2*w = -s*j + 2. Let u = -5 - w. Solve -n - 10 = u*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least 115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -21*z**2 + 2. Let h be 3 - 4\/(1\/(2 - 0)). Let s(d) = d**2 + 1. Let o(m) = h*s(m) - g(m). Differentiate o(y) with respect to y.\nAnswer: 32*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25.0798 and -3.\nAnswer: 75.2394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -21545.4 and 178.3507.\nAnswer: -21367.0493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -434*j**3 + 5*j**2 + 258*j + 5. Let n(x) = -434*x**3 + 4*x**2 + 258*x + 4. Let v(w) = -4*l(w) + 5*n(w). What is the second derivative of v(h) wrt h?\nAnswer: -2604*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3064.3 + -2065. Round o to the nearest ten.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2970)\/750 + 8\/(-200) - (-1 + -1 - 82).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/16214 and -73\/16.\nAnswer: 129712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express z + 0*z - 4*z + (4 - 1 - 2)*(z - 3*z + 0*z) + 28*z + 14*z + 5*z as d*z + i and give d.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-4))\/(-3*4). Let x = 1.2 + -0.9. Which is the closest to -1? (a) k (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -1003*b - 9. Let j(d) = 1033*d + 8. Calculate 5*j(m) + 4*r(m).\nAnswer: 1153*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -195924481\nAnswer: -1\/195924481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 9*d**2 + 13*d + 5. Let r(c) = 8*c**2 + 12*c + 5. Let g(z) = 5*a(z) - 6*r(z). Let q(j) = -j**2 - j - 1. Let o(m) = -g(m) + 5*q(m). What is o(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + (4 - 5) + -30.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*24\/(-2640)*(2*-2)\/(-1)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0039212972 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 63 - 23 = 0. Suppose -25 = s*l + 15. Sort l, 2, 0 in increasing order.\nAnswer: l, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3870 and 117.\nAnswer: 50310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*11\/(44\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7313*q = 6996*q - 18703 for q.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-17)\/9 + 2)\/((9316\/(-816))\/(-137)). Determine m so that 0 + j*m**2 + 1\/3*m**3 - 5\/3*m = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 1:53 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.3, -3, -1, 0.31.\nAnswer: -3, -1, 0.3, 0.31, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) -1\/4 (c) -5 (d) -4 (e) 0.4 (f) -0.78\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.8 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + t**2 - t - 8. Let x be o(0). Let m be x\/(-12) + (-170)\/(-15). What is the highest common divisor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*u**5 - 250*u**2 + 1394*u + 2.\nAnswer: 60*u**3 - 500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 15*c - 56. Suppose -45 = y - 59. Solve -5*a + y = -c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 617292390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -4)\/(-6) + 2\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -12\/11, -5, 12, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537762 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36200 or 36672?\nAnswer: 36672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 13*p**2 - 14*p - 31. Give i(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119526719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = g + p + 487, 5*g = -2*p + 1222. Suppose 0 = 5*u - 616 - g. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11648 divided by -56.\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**2*t*y - 4*c**2*t - c**2*y**2 - 52*c**2*y + 32220*c*t*y**2 + 37*c*y - 7*y**2 + 1 wrt y.\nAnswer: -2*c**2 + 64440*c*t - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**6\/180 + q**5\/60 - 10*q**2. Factor d(s).\nAnswer: -s**2*(2*s - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7642514802 minus -479?\nAnswer: -7642514323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-10)*(-3)\/(-63)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -205*i*v**2 - 3*i*v - 3*i + 32*v**3 - 4938 wrt v?\nAnswer: -410*i*v - 3*i + 96*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 4*v + 2*v)*(-3 - 3 - 2) + 3 - 3 + 2*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10175 and 2849.\nAnswer: 71225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y + 17 - 57. Is (26 - 1)\/y - 1908*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 2*p + 5. Let g(l) = l**2 + 2*l + 4. Give 6*g(r) - 5*m(r).\nAnswer: r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -60\nAnswer: -7\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 536.8455152 less than 42?\nAnswer: -494.8455152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/2 - 2*1\/(-4). Let f be (r - -5)*16\/12. Let l(g) = -g**3 + 5*g**2 - 2*g - 4. Give l(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 73 + 7 - 10*k**2 + 18 + 23 + 20.\nAnswer: -10*k**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, x: 1, m: 1, i: 1, v: 1, e: 2}. What is prob of sequence eii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 8:26 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9183977?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 770455.9ml?\nAnswer: 770.4559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccur when four letters picked without replacement from {c: 6, g: 1, q: 2, u: 1, r: 2, d: 3}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-1) + -22)*(-6732)\/54. Let j = a - 1501. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321147151 to the power of 1\/3, to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76061 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45 - 51) + 1 + 0 + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105532571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 2*q**2 + 2*q - 1. Let t be n(-3). Let o be (0 + 12\/(-8))*t. Let m be (-1)\/(o - (-52)\/18). Solve -2*s - 2*w + 1 = m, -w + 4 = -s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/9 - 5\/(-45). Which is the smallest value? (a) -0.3 (b) -1 (c) h (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**8\/840 + s**4\/8 + s**3\/6 + 3*s**2. Let c(f) be the first derivative of w(f). What is the derivative of c(o) wrt o?\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**5 - 690*x**4 + 35256*x**3 + 9006*x**2 - 449541*x - 422604 = 0.\nAnswer: -273, -3, -1, 4, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3376 (base 11) to base 3.\nAnswer: 20002102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3822789538 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102 - 101.72. Let n = h - 2.38. Round n to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -515.32 - 7.68. Let g = 523.00001996 + a. Round g to six decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.825325 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -8*h**2 + 23*h**2 + 9 - h + 12*h**2. Is u(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - q - 58*q**2 + q**4 + 27*q**2 + 4*q**2 - 30*q**3 + 26*q**2 in the form t*q + l*q**3 + s + u*q**2 + y*q**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 661404 divided by -9.\nAnswer: -220468\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 o, and 1 s when three letters picked without replacement from {w: 4, m: 3, o: 2, v: 9, s: 1}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o + 6. Let u(a) = 7*a - 13. Suppose 4*f + b = 31, f + 7 = 4*f + 4*b. Calculate f*z(c) + 4*u(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 780.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13341 - -5122?\nAnswer: 20463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + a - 120. List the prime factors of a*(-3)\/(-11 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -1. Solve 0 = -x*y - 10 - 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(612) + 2*sqrt(612) + 3))**2 + (2*(1 + sqrt(2057)) - (sqrt(2057) + (sqrt(2057) + sqrt(2057) + 0)*-5))**2 + -1.\nAnswer: 1456*sqrt(17) + 298553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-13)\/(-2)*(-41)\/(-205)*-5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 1151*l**6\/6 - l**4\/2 + 202*l**3 - 1203. Find the third derivative of z(t) wrt t.\nAnswer: 69060*t**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2433556393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/12 - 3\/2. Let z = 186 - 182. Suppose 4*m - 8 = 7*y - 6*y, -3*y = z*m - 24. Sort m, p, 0, -4 in increasing order.\nAnswer: -4, p, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 85\/117616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 19, 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101436 is divided by 818.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mym when three letters picked without replacement from {m: 3, v: 4, y: 6}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 4*k + 2. What is the remainder when 9 is divided by v(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(((y**1*y*y*y)\/y)\/y)*y*y**14\/y)**(5\/3) assuming y is positive.\nAnswer: y**(65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 + (112 - 48) - -18.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 566818254 to the power of 1\/2, to the nearest integer?\nAnswer: 23808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0 = 4*j - 4, 4*a = 0. Let s be (3 - j) + (0 - -1). Find the second derivative of 3*o**4 - o**3 + o**s - 2*o + 3*o wrt o.\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*p - 29108 = 1970*p + 95311 for p.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 9935?\nAnswer: 158960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4 = -4*h. What is the nearest to -0.1 in 3\/7, h, 3\/2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7343686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 45 = 4*x. Let q = x + -7. Let a be (6\/28)\/3*-4. Which is smaller: a or q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 9*z + 12. Determine i(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 202.\nAnswer: 3\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6877 smaller than 460690\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*j = 4, -t - 12 = -3*t - 2*j. What is the third derivative of i**2 + 15*i**6 - 8*i + 8*i - 14*i**t wrt i?\nAnswer: 1800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d - 21. Let h(v) = -7*v**2 - 61*v + 81. Let p be h(-10). Determine z(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 249\/2 + -134. Let x = f - -207\/22. Which is the nearest to 0? (a) 1 (b) x (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/8 - ((-769)\/4 + 5). Let v = -149 + j. What is the greatest common divisor of 91 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6892*k**2*w**2 - k**2*w - 4*k**2 + 3000*w**2 - 3*w - 1 with respect to k.\nAnswer: 13784*k*w**2 - 2*k*w - 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -11*t. Let c(k) = -654832*k**2. Determine c(h(r)).\nAnswer: -79234672*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52137091?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4405.3817 - 4405. Round l to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**3*n**3 + 34*l**3*n + 2*l**2*n**2 - 206*l*n**5 wrt n?\nAnswer: -12*l**3 - 12360*l*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2568660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90624\/13774848)\/(5*(-2)\/(-32))?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1745089?\nAnswer: 673, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 212504167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5 = 9. Let i be (-48)\/36*(-123)\/b. Let a = -19 - i. What is the remainder when a is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 8509*m**7\/210 + 9*m**4\/4 + 41*m**3\/6 - 10048*m**2. What is the second derivative of x(c) wrt c?\nAnswer: 102108*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 + -0.00768.\nAnswer: -0.01768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67225 + 15253 - 27932 = -8*r. What are the prime factors of r?\nAnswer: 2, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2146, -3, 19, 2, 2\/11 in increasing order.\nAnswer: -3, -1\/2146, 2\/11, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/522*3*(-12)\/(-9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -f**3\/3 - f**2\/2 - 1024. Let s(h) = 2*h**2 + 4*h - 1. Give -6*k(i) - s(i).\nAnswer: 4*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2139903671.7 - 2139905547.7002806. Let a = -1876 - z. Round a to five decimal places.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/10 (b) 3\/2 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73*d**4 - 2*d**3 - 39*d wrt d.\nAnswer: -876*d**2 - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 10:01 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271774399 - 3*b + 271774399.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 9012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101121122200 - -12?\nAnswer: 101121122212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**4 + v**4 - 2*v**4 + 3*v**5 + (40*v**2 - 40*v**2 + 2*v**3)*(-59*v + 59*v - 10*v**2) + (4*v**5 - 6*v**5 + 0*v**5)*(0 + 0 - 2).\nAnswer: -13*v**5 - v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + 6.3. Let p = a - 2. Let j = 3 - p. Is -1 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 97 = -5*z - 2*d - 55 - 101, -24*z = 2*d + 1190 for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105113 + 1?\nAnswer: -105112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.31 rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 94*a - 10906 + 12786 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/5 + 94653*a**2 - 1893096*a\/5 + 1893108\/5.\nAnswer: 3*(a - 2)**2*(a + 157759)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/4 of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 1\/30*h**5 + 0*h**6 + 0*h**3 - 3*h**2 + 0*h**4 + 0 + 0*h + 0*h**7 - 1\/84*h**8. What is the third derivative of w(z) wrt z?\nAnswer: -240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89709 = g + 2*c, 3*g + c = -30643 + 299745. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 7971\/3227?\nAnswer: 7971\/3227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21100 + 2110201102101?\nAnswer: 2110201200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26855570519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7*7736\nAnswer: 54152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 152 and 286.\nAnswer: 43472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3701 times 0.041?\nAnswer: -151.741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9328*q*t**4 - 4*q*t**2 + 106*q*t + 2*q + 33*t**4 + 571*t + 6 wrt t?\nAnswer: 111936*q*t**2 - 8*q + 396*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24, -29, -34, -39?\n\"Answer: -5*v - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l + 5 = -16*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -21*c**4\/2 - 1698*c**3 + 4521*c**2\/2 + 9762*c - 2934 = 0?\nAnswer: -163, -2, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 43340234 (base 5) to base 15\nAnswer: 75049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 2449200*w**2 + 299931481185*w + 599853165610.\nAnswer: 5*(w + 2)*(w + 244919)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 31. Suppose 2*d + d = 0, 4*y = 2*d - 124. Let l be i(y). Solve l = -0*o - o + 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6906346 is divided by 766?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227 a factor of 2506539899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(((l**(29\/5)\/l)\/l)\/l))\/l)\/l*l*l)\/((l**(-25)\/l)\/l) assuming l is positive.\nAnswer: l**(126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2207754460.\nAnswer: 2, 5, 7103, 15541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 329\/7503 (b) 0.03 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.94 - 0.06. Let i be 1 + 646\/(-330) + 14\/(-105). Which is the closest to i? (a) -3 (b) u (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73 - -79. Let g be ((-16)\/54)\/(n\/9). What is the fourth biggest value in 2, -5, g, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28712 - 54531 = 2*d - q, 4*q + 20 = 0. Is (16\/4 - 0) + d\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85.38 - -85. Which is smaller: g or 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 61186 and 61186 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-140)*24\/12?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3\/6 - 85*r**2\/6 - 15*r.\nAnswer: 5*r*(r - 18)*(r + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -14. Let g(t) = 6*t**3 + 5*t**2 + 5*t. Let h(k) = 9*k**3 + 8*k**2 + 8*k. Give y*g(c) - 5*h(c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -961*c**4 + 3019*c**3 + 45529*c**2 + 29*c.\nAnswer: -23064*c + 18114","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8*u**2 + 2*u - 2. Let x(q) = -501 + 16*q**2 - 2*q + 2*q + 506 - 5*q. Determine -5*i(k) - 2*x(k).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 25*m - 10. Let w(l) = -19*l + 9. Let q(s) = -3*p(s) - 4*w(s). Suppose -5*t + t = 0. Give q(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-623)\/(-14) - (-1)\/(-2). Suppose -y = 3*y - p. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3243\/2070*30 + -72\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 687693 * -1.\nAnswer: -687693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -0.009.\nAnswer: 2.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {c: 5, e: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -28, 48, -52, 5, -5 in decreasing order.\nAnswer: 48, 5, 3, -5, -28, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110871*c**3*d*f - 2*c**3*d + c**2*d*f + 38*c**2*f - 2*c*d*f - 2*d*f + 25*d wrt c?\nAnswer: -665226*d*f - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 10:47 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -68502\/17 >= -4030?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12 + g**2 + 0 - 2 wrt g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.09 - -4.09. Let c = t + -7. Let q be (5\/10)\/((-3)\/6). Which is smaller: q or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 5*q**2 - 1 + 6*q + 7 + q**2. Let p be h(-5). Let g be (p\/2)\/((-2)\/4). Which is greater: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -246745 + -4?\nAnswer: -246751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1076994.58 + -1012.319?\nAnswer: -1078006.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/((m*m\/(m*m\/(m\/((m**(-3\/11)\/m)\/m)*m))*m)\/m)*m*m\/(m\/m**(-1\/40))*m*m*m*(m\/(m*m**37))\/((m*m**17)\/m) assuming m is positive.\nAnswer: m**(-23011\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 23, 4, -8, 0, 3\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (-216)\/(-32) + 2\/8. Let d(s) = s + 8*s - 10*s. Let m(j) = -j - 1. What is x*d(w) + m(w)?\nAnswer: -5*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 161112 and 103572.\nAnswer: 1450008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 680 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**3 - 21*p**2 + 3*p + 5. Let t(q) = -33*q - 267. Let h be t(-8). Let s(g) = -4*g**3 + 20*g**2 - 2*g - 4. Calculate h*s(d) - 2*w(d).\nAnswer: 2*d**3 - 18*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1561811 to the nearest integer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(267*d - 1310 + 1310).\nAnswer: -534*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1873485355 to the nearest integer?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -138475*z**4 - 3*z**3 + 3*z**2 - 6*z + 7219 wrt z?\nAnswer: -3323400*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9861926251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gsg when three letters picked without replacement from sgssgssggs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 6, -5, -3 in descending order.\nAnswer: 19, 6, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 239 + -103. Let x be 3 + (b - (-4 - -2)). Suppose -4*k = -3 - x. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2. Let m(k) = 64*k - 2. Calculate s(m(o)).\nAnswer: 8192*o**2 - 512*o + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*t + 2 = 3*c, -39 = 3*c + 3*t. Let w = -5 - c. Solve f + 0*f = w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 + 113. Let r = -55.91 + f. Let u = -2\/5 - 7\/20. Which is the closest to 2\/9? (a) u (b) r (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 532 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from mamsamvmammmmamaama.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/318 and 8159\/(-742) - (-23)\/((-92)\/(-44)).\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/80 + (-8)\/(-10). Let s = -0.143 - 65.857. Let i = s + 71. Which is the third smallest value? (a) i (b) 0.09 (c) 2 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*-1)\/((30\/10)\/(-3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10379916 divided by -262.\nAnswer: 39618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10126 and 830454?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 25 = 0, 2*m + 20 = 4*m - 2*p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60639 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + -43050?\nAnswer: -43058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1311, 1024, 737, 450?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152252 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -q - 0*q - a, -3*a - 242 = -4*q. Suppose 2*o + o = -15, 2*n = -2*o - 84. Let g = n + q. What is the greatest common factor of g and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*w**5 - 65*w**2 + 4*w + 179?\nAnswer: -80*w**3 - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/2 - (-95)\/10. Suppose z - 4 = -b, -2*b = -3*z - 1 + o. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2 = -2*x - 0*x, 5*x = -2*s - 5. Let m(o) = -o + 3. Let n(q) be the first derivative of -q**2\/2 + q + 1. Determine x*m(v) + 2*n(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(468)*1 - sqrt(468))**2 - (sqrt(468) + 0 + 0)**2.\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -4. Let z(s) = s**2 - 6*s + 6. Suppose -3 = -3*w - 0*w. What is the remainder when w is divided by z(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2688*a - 5894*a - 34 + 34 as w*a + n and give w.\nAnswer: -8582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, q: 2, z: 1, y: 1, t: 1, v: 9}. What is prob of picking 1 k and 1 q?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1428, 2935, 4444, 5955, 7468, 8983?\n\"Answer: d**2 + 1504*d - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) + (-561)\/153. Let s = 6 + -7.7. Let p = -0.3 + s. Which is the second biggest value? (a) p (b) m (c) -3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*v = 5*v + 6, 3*f + 4*v - 38 = 0. Let h = 12 + -7. What is the lowest common multiple of h and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.05, 5, -4, 0.04?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.03, -0.048, 88, 2\/3?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -865 - -871. Solve 2*z - 14 = 5*c + k, -12 = -z + 3*c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 15. Let u be v(-11). Let o be 2\/4*-2 - (-9 - u). Solve 0 = -o*x + 10 + 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -191, 15, -4, 3 in increasing order.\nAnswer: -191, -4, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -g + 21, 42 = -6*g + 9*g + c. Calculate the highest common divisor of g and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(6\/(-7)*(-18)\/(288\/28))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5, -0.1, 359.234?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 7*j + 1. Let v(l) = -1528 - 1542 + 3067 - 13*l. Give -9*s(a) - 4*v(a).\nAnswer: -11*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*p - 31 + 104 = 0, 70 = 5*c - 2*p. Find the second derivative of -4*l**4 + 4*l**4 + c*l**5 - 2*l**2 - 10*l**5 + 38*l wrt l.\nAnswer: 40*l**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/330)\/(1\/((-40)\/16))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44032 (base 5) to base 14.\nAnswer: 1157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/264)\/(14\/21).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3942 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 615*h*l*s**3 + 2*h*l*s - 100*h*l + 2*l*s**2 - 3*l + 4*s**3 + 161*s wrt h.\nAnswer: 615*l*s**3 + 2*l*s - 100*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 15554.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0487049117 to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k - 2 - 3 + 11 - 3.\nAnswer: -4*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.96 + -4.06. Which is the nearest to q? (a) -7 (b) 11 (c) -0.5 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 12102?\nAnswer: 12100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-205)\/(-1025))\/(-2 + (576\/(-10))\/4)?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/63)\/((-72)\/(-126))*15\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a (base 11) to base 9.\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 5*u**2 - 4*u + 3. Let o be p(-4). Let v be 52\/(-9) - 3*-2. Factor 2\/9*a**4 + 0*a**o + 0 - v*a**2 + 0*a.\nAnswer: 2*a**2*(a - 1)*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27133 - 27139 - 27136 + 34*v**2 - v + 81406 - 6*v**3 in the form q + o*v**3 + z*v + g*v**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483658.\nAnswer: 2, 7, 179, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 + -0.37. Suppose 0 = 5*y - 2*b + 15, 3*b + 7 + 8 = -5*y. Let t = 3 - 4. What is the third smallest value in y, t, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2033? (a) 1 (b) -1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 152\/912*0\/(-3)*4*3\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6283 less than 0.1?\nAnswer: -6282.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from {g: 2, l: 4, z: 1, d: 2, t: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 6\/5*h**5 + 4 + 0*h**3 - 21*h + 0*h**4 + 0*h**2. What is the derivative of o(n) wrt n?\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-3\/5))\/(g\/g**(-12\/11)))\/(g*g**(-2\/19)*g*g*g**(2\/23)*g))**(-27\/4) assuming g is positive.\nAnswer: g**(3681207\/96140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3)*w**(-7)*w)\/(((w\/w**(-10))\/w)\/((w*w\/(w*w**(1\/2)))\/w)) assuming w is positive.\nAnswer: w**(-103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 77*h**2 + 4*h - 7. Is z(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-653*j + 582*j + 7 - 9)*(-6 + 6 - 2).\nAnswer: 142*j + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*h + 26*h - 804. What is the first derivative of 4 + 53*n + h*n + 17*n - 12 wrt n?\nAnswer: 137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*s - 3*l + 6*l, l = 4. Is 9 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*s = -200*s - 6. Let f = s - -6. Solve -3*i + 5*n + 17 = f, -4*i - 2 = -3*n - 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -364970, -364971, -364972, -364973, -364974, -364975?\n\"Answer: -z - 364969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/77*(-4 + 2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9490)\/(-1095))\/(2\/(-6))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + r**2 - 4*r + 5. What is a(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4565*h**2 - 862*h**2 - h**4 + h**4 - 76*h**2 + 1606*h**6 wrt h?\nAnswer: 192720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -2, -0.05, 1\/658?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36\/11 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -394\/11 + 36. Let j(v) = v**2 + 23*v + 39. Let a be j(-21). Let k be ((-1)\/a)\/((-6)\/(-8) - 1). What is the biggest value in -1\/9, k, z, -3\/8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 18*n - 61. Give o(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54\/5 + 231\/20. Which is the second biggest value? (a) p (b) 4 (c) -1\/2 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*o + 10*o - 64400 = 0. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 5*i + 15 = 0, 2*o - 21 + 33 = 4*i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.284 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a365 + 2?\nAnswer: 2a367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 10*d**2 + 8*d - 21. Let f(l) = 4*l + 28. Let q be f(-6). Suppose -2*k + 14 = q*s, s = 2*k - 18 - 1. Is v(k) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115804 to the power of 1\/2, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 12:47 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 128 - 128.23. Let y = -2.77 + m. Let c be 6\/8*(-12)\/(-54). Sort -1\/3, -1\/12, c, y in descending order.\nAnswer: c, -1\/12, -1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*z**2 - 2*z - 3\/2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 - 5870020*s + 181965815.\nAnswer: 5*(s - 1173973)*(s - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4454 + -821. Let u = 28977\/8 - n. Calculate the common denominator of -26\/11 and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**4\/24 + 4*m**3\/3 - m**2. Let k be i(7). Let p be (-1)\/(-2 + 2 + k). Sort 1\/2, 0.4, p in ascending order.\nAnswer: p, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 527 - 12119\/23. What is the third smallest value in c, -5, 3, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*(12\/9 + -2). Let v(r) = -r - 6. Let d be v(0). Let y = 3 + d. What is the smallest value in -0.2, a, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 5*u**9\/13608 - u**8\/672 + 2*u**7\/945 - u**6\/810 + u**4\/2 - 3*u. Let r(o) be the third derivative of w(o). Factor r(c).\nAnswer: 2*c*(c - 1)*(5*c - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 9*k + 3. Let c be 3\/(1*3\/(-9)). List the prime factors of q(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001181276 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6*k. Let d be (-4)\/3 + (-6)\/(-18). What are the prime factors of t(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 16*t + 18. Let x be s(13). Let i be (-91)\/x*(1 - -50). Suppose 1001 - i = 2*y. Round y to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.969525 to 3 decimal places.\nAnswer: 1.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 1837962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58493152 and 489362.\nAnswer: 994383584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 - 1353 = -3*s. Let n = -204 + s. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -377737 plus 32209018?\nAnswer: 31831281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 195724944 divided by -1044?\nAnswer: -187476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124280665?\nAnswer: 5, 24856133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5)\/(u*(u**3*u)\/u))**(-27) assuming u is positive.\nAnswer: u**(594\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-118)*132\/(-18)*18\/99\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/5)\/(12\/(-80)). Suppose -5*q + o - 5*o - 36 = 0, -5*o - j = -q. What is the units digit of 14*-10*q\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 26 = 3*z + z, 0 = 3*t - 2*z + 1. Calculate the remainder when 81*(4\/t + -1) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1900.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226905*z - 226903*z + 8 + 1.\nAnswer: 2*z + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 658 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34891 (base 16) in base 5?\nAnswer: 23341220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3961689218 and 6.\nAnswer: 5.6038310782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**2 - 115*u**3 + 68*u**3 + 2*u**2 - u**2 to the form w*u + b*u**2 + d + r*u**3 and give r.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 4*k + 4*d + 284 = 0, 5*d = 2*k - 281. Find the common denominator of -57\/44 and (-7)\/7392*9*k.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(160)\/sqrt(8) + 3.\nAnswer: 1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00133112 rounded to five dps?\nAnswer: 0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllkklkkkllklklkkllk. Give prob of picking 2 l.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1183*p - 499*p - 756*p + 2285*p + 1533*p.\nAnswer: 3746*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 36. Let d be p(-6). Let h = d + -180. Solve -2*b + h*b = -6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11970 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137040, 137069, 137098?\nAnswer: 137127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 63 * -0.1\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -100\/1387 greater than 6\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9906 divided by -3\nAnswer: -3302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - -11 - (-33 + 43 - (-13 - -4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 11038*u**2 + 2646740*u - 156979176.\nAnswer: -(u - 118)**2*(u + 11274)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 11 - (5 + 45\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/(92\/(-23) - 7*-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6139.313nm in centimeters?\nAnswer: 0.0006139313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 37*f - 36*f - 5*u, -5*u = -3*f - 29. Let p = 1.7 + -3.8. Let c = 2 + p. Sort f, c, -1 in increasing order.\nAnswer: f, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16328133 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54253 + -36740. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1059 = -1718*a + 1713*a - 47*v, 76 = 4*a - 2*a + 3*v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -1456*q + 10. Let w(j) = 9100*j - 63. Determine 56*b(g) + 9*w(g).\nAnswer: 364*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 - -111.55.\nAnswer: 196.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 124 + 96 + l**2.\nAnswer: l**2 + 169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand j + 4*j + 2 - 4 + (-5*j + j + 2*j)*(3 + 0 + 0) + j + 0*j + 0*j + j - j + j.\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*a**4 - 36*a**3 + 10*a**2 + 12*a = 0. What is a?\nAnswer: -3\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 3 - 19. Let h(y) = -y - 3. Let s be h(-5). Let x be (2\/3)\/((-5)\/15). Put x, i, s in descending order.\nAnswer: s, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002932 rounded to 5 dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 5:49 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**5 - 17095*f**4 - 187530*f**3 - 306720*f**2 = 0 for f.\nAnswer: -3408, -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -37*c - 1256. Determine k(-34).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 218*z - 3052. Let k be y(14). Solve k = 14*o + 72 + 26 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -w**6\/3 + 3*w**5\/5 - w**3\/3 - 52. Find a such that p(a) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 5, -1, 0 in decreasing order.\nAnswer: 26, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, i: 6, b: 3, m: 3}. Give prob of picking 1 m, 1 i, and 1 b.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-54)\/(-140) - 6\/21. Suppose -55*u = -8757 + 8812. Which is the closest to u? (a) -1 (b) -3\/7 (c) -5 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2. Let w be (-2 - (1 + -1)) + -1. Let d = 10 + -18. Let x(t) = 14*t + 8. Let n(i) = -5*i - 3. Let v(j) = d*n(j) + w*x(j). Give h(v(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 20 (b) 6\/5 (c) -0.5 (d) 2 (e) 1\/3 (f) 0.4 (g) 549\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 18176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 317.954532 + -557.954291. Let g = c + 240. What is g rounded to five decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*u**3 - 20*u - u**3 - 34*u**3 + 20*u.\nAnswer: -147*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.08 - 3. Let l = 2 - 2.06. Let z = p - l. What is z rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -251 or -1007\/4?\nAnswer: -1007\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*u = 3*u - 9, -4*u = 12. Suppose 64 = l - m*q, -l + 68 = -0*q - 2*q. Suppose 0*h = h - l. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 3*x**2 - 2*x + 3. Let v be y(3). Sort 0, v, 1.\nAnswer: v, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*t - 1 + 79*t - 2*t**3 + (-3*t + 3*t + 2*t)*(0*t + 0*t - 2*t**2) + (-2 + 7 + 0)*(-1 + 1 + 2*t**3) in the form i*t**2 + j + w*t + b*t**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/42 and -61\/147.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1396\/349)\/(1 + 6\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 10:30 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-12) - 1)*90\/45?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2 + 4)*(-5 + 2 + 2 - 3 - 1 + 3 + 2 - 3 - 1 + 0 - 2 + 3 + (2 - 1 + 1)*(-1 - 2 + 1) + 6 - 5 - 3 - 1 - 3 + 2 + 1 - 4 + 2)*(0 + 0 + z**5).\nAnswer: 48*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86611.\nAnswer: 7, 12373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 + -43)*(2 + 174\/(-9)). Is w\/10 - (24\/10 - 2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*106097307\nAnswer: 530486535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3001302 (base 4) in base 2?\nAnswer: -11000001110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Is 2738447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r + 60*p - 59*p = 35, -5*p + 5 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2 - 5684\/(-2844)). Let j = 180 + t. Let b = 1000 + j. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 742 = -4*l, 2*l + 7*f = 4*f - 383. Let x = 208 + l. Calculate the least common multiple of x and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-5)*-3*15\/(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + o = 0. Suppose o*d = 2*d. What is the second smallest value in d, 4, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000034147 to seven decimal places.\nAnswer: 0.0000341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -799 = -2*h + 2*q - 809, -18 = -4*q + 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1344738 - 70132120912\/52153. Is j >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/9)\/(12\/36) - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1943464 by 14.\nAnswer: 971732\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -780*p - 22. Let l be y(-4). What are the prime factors of l\/26 + (-2)\/(-39)*-3?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 13*f + 12*f + 2516*f**2 - 2*f**3 - 2500*f**2 + 2*f**4 as v*f + n*f**3 + k*f**4 + w + j*f**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 12:00 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10052859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473141 is divided by 236562?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -8497000 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564*t + 56 = -592*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 368.\nAnswer: -3\/368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, j: 3}. What is prob of picking 2 j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 - 58. Let r = 75 - 77. Put 3, r, w in decreasing order.\nAnswer: 3, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*q**3*v**3 + 318*q**3 + 1086*q**2*v**3 + 4*q**2*v wrt q?\nAnswer: -96*v**3 + 1908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/15, -5, -4, 5.8?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 796 - 295. Is (r\/6)\/((-2)\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -7*b**3\/3 - 3. Let p(o) = 3*o. Determine d(p(i)).\nAnswer: -63*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(-1)\/3 - -2. Suppose -d - 3*j + 4 = o, -2*j + 4 = 0. Let n be (((-10)\/8)\/d)\/1. Which is the nearest to 3? (a) 0 (b) -2\/9 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j - 39. Let r(b) = -3*b + 77. Calculate -5*m(y) - 3*r(y).\nAnswer: -y - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 40 = 2*r + 37, -4*w - 16 = -4*r. Which is the third biggest value? (a) 2 (b) 39 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20130 + -4?\nAnswer: -20134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 204 + 4065?\nAnswer: 4302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.971724 = -256\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1427 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 5. Suppose n*x - 63 = -3*x. Let m = -2 + x. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -19?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c\/(c**(2\/9)\/c))))\/c*c*c*(c\/c**(3\/7))\/c*(c*c*c**(5\/14)*c)\/c*c**(-14) assuming c is positive.\nAnswer: c**(-1045\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 0*d - 674\/3*d**3 + 3 - d**2. Let i be s(2). What is i rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 239*f**3 + 22*f**2 - 138*f - 160. What is y(-1)?\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-3 + (-1 - -6) - -4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 8*q**2 - 9*q - 9. Let w = -4 - 3. Let u be z(w). Suppose 8*d - u*d = 9. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 21141, 112 in descending order.\nAnswer: 21141, 112, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 3) + (-20 - -11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-4)\/(-2) - (10 + -10). What is the units digit of (-5 - -2)*(40\/f + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 218\/24 + (-54)\/648. Let i(m) = -m**2 + 1. Let a be i(0). Calculate the highest common divisor of a and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10869 + 10869 - 9753*z**5 + 631*z**5 + (z + 0*z - 2*z)*(-4 + 4 - z**4).\nAnswer: -9121*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 528534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1810 divided by 362?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 111110100111001001100 (base 2) in base 10?\nAnswer: 2051660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.48 - 0.98. What is b rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28356000 to the nearest one hundred thousand.\nAnswer: 28400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 131685.8t in grams?\nAnswer: 131685800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*v + 21, -x + 4 = v + x. Suppose q = 4*u - 76, -q + 64 = 4*u + q. What is the least common multiple of v and u?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 15*y = 0. Suppose o = 5*z + 19, 3*o + y*z = -4*z. Calculate the least common multiple of o and 23.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4166711469?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -7*r - 2. Let c(h) be the second derivative of -4*h**3\/3 - 3*h**2\/2 + 5*h. Let t(n) = 4*c(n) - 5*w(n). Determine t(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 - 37*j**2 - 23*j + 23. What is the tens digit of u(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c. Let b be a(3). What is the remainder when 135\/b*4\/(-6) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 2)*(-5 + 2 + 1)*(2 - 3 + 4)*(-99 + 99 + 84*v) to the form r + b*v and give b.\nAnswer: -1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -80 divided by 8\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24037256?\nAnswer: 2, 1093, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(16*q**2 - 9*q + 9*q) - 5*q**2 + q**2 + 3*q**2.\nAnswer: 31*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10111111011 (base 2) to base 9\nAnswer: 2081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.121 + 29.721. Put -5, 3, -3, s in increasing order.\nAnswer: -5, -3, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -22. Suppose 3*z = o*z. Suppose 4*u - 432 + 136 = z. What are the prime factors of u?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*h = -180 + 29 - 157 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 3*t. Suppose 2*p - 16 = -5*q, 4*q - 5*p - 26 = -t*p. Suppose -q*x + x = -63. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 2 - (13 + -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnoo when four letters picked without replacement from nooonnoo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16470036)\/(-513))\/398 + (-2)\/(-6).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 383920380 and -0.3.\nAnswer: -115176114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*b + 115 = 0, 26 + 32 = 2*z - 2*b. Let o be 17\/(-102) + (-2)\/(-12). Suppose o = -5*d + z + 57. What is the highest common factor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.029 - -0.371. Let h = -2\/15 - -3\/10. Put h, -3, g in decreasing order.\nAnswer: g, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/24 of a hour?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z. Let b(l) = 2*l**2 - 12*l + 12. Let q(w) = 3*w**2 - 22*w + 22. Let s(p) = 11*b(p) - 6*q(p). Give k(s(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-20)*-5 - 207\/(-1). Suppose -15*u = -8*u - j. Calculate the highest common divisor of 87 and u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 2:10 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -89999 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 1\/11, -3, -40.\nAnswer: -40, -3, 1\/11, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.21119819 and 0.2.\nAnswer: 5.41119819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = b - 16, 0 = 115*b - 119*b + j + 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2477 is divided by 224.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1667*a + 8 - 14 - 3331*a + 1665*a - 8.\nAnswer: a - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**3 - 5*c**2 + 8. Let f(x) = x**3 + 1. Let w(s) = 5*f(s) - t(s). Calculate the remainder when w(-4) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 19.9138473s?\nAnswer: 0.00023048434375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16\/7? (a) -2\/5 (b) -2 (c) -30\/181 (d) -3\/7 (e) -69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47391 + 47406. Let o be 0 - (-2 + -3 + 2). Suppose -15 = 3*h - o*s, -5*h - 7*s + 2*s + 5 = 0. Which is smaller: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k**2 - 2*k**2 + 7*k - 3*k - 8 + 4. Let n be g(3). Suppose 5*r + n = 110. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven fifths of a day?\nAnswer: 7776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - s + 7 = -w, 2*s = -5*w + 23. Let b be 8\/(w + 1 - 2). Differentiate 2 + 10*y - 2*y**b - 10*y with respect to y.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 3*i**2 + 4*i + 3. Let d(c) = -c**3 + c**2 + 9*c - 9. Let x be d(3). Suppose x*n = -7*n - 28. Give j(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2317 + 1?\nAnswer: -2316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-23)\/q*q\/(q*q\/((q*q\/q**5*q)\/q)))\/((q*(q**8*q)\/q*q)\/q**(-4\/23)) assuming q is positive.\nAnswer: q**(-878\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -12 + (-880)\/99.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 518 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -24. Let g(i) be the first derivative of 0*i**b + 0*i**2 + 1\/5*i**5 - i + 0*i**4 - 2. What is the first derivative of g(n) wrt n?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2092, -2087, -2088, -2095, -2108, -2127, -2152?\n\"Answer: -3*t**2 + 14*t - 2103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 7 = 3*a, 5*h - a = 11 - 2. Suppose 4*u - 54 = u. Solve -4*d = d + 2*b + h, -5*b = -3*d + u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 12) in base 14?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 + 19*y**2 - 104*y**2 - 14*y**3 + 74*y**2 + 13*y**2.\nAnswer: -10*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6824.6962789 + -6824.7. Round o to 5 decimal places.\nAnswer: -0.00372","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*m + 145 + 429 = 0 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*q + 27. What is the remainder when 63 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**5\/5 + 56*g**4 - 25941*g**3\/5 + 776722*g**2\/5 + 1740692*g\/5 - 2491752\/5 = 0.\nAnswer: -3, 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*h - 26376 = 0, 58*z - 3*h = 57*z + 13182. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*3*sqrt(96))\/(-2*(sqrt(3) - (sqrt(3) - (2*sqrt(243) + sqrt(243))))).\nAnswer: 32*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -5*a - 9, 45 = -3*g - a. Let d be 4\/g*0 + 2. Suppose p + p - 4 = 0, d*p = -u + 32. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/83 - 180\/581. Let z = 16107.19 + -16107. Which is the third biggest value? (a) 0.2 (b) q (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 7*r + 301 = 5*r, 3*n - 5*r - 289 = 0. Suppose 0 = 2*t - n + 7. What is the greatest common factor of t and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/6)\/((-24)\/18 + 6). Factor q*b**2 - 2\/7*b + 0.\nAnswer: 2*b*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (3 - 12) - -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 2:01 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/208 or -16095?\nAnswer: -16095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 915 is divided by ((-3952)\/130)\/((-2)\/20).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*l + 13, 5*l - 18 = 4*z - 4. Put 5, 25, l in descending order.\nAnswer: 25, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/10)\/(15\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 5 (c) 2\/3 (d) -1\/2 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + 8. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 4*v + 155, 0*v + 158 = 3*p + v. 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 6387698974 to the power of 1\/2, to the nearest integer?\nAnswer: 79923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwy when three letters picked without replacement from fqfyafw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 3*z**2 - 8 - z - 3)*(-48*z - 11*z - 19*z).\nAnswer: -234*z**3 + 78*z**2 + 312*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-224)\/20)\/14*-30.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0592327789 rounded to 3 decimal places?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 25\/((-500)\/(-24))*10\/6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/2)\/(4\/(-48)). Let f = 12 + u. Suppose 0 = -2*y - 3*w + 4*w + 18, -53 = -3*y - 5*w. Calculate the remainder when y is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 49*f**6\/6 + 7*f**5 - 75*f**4\/4 - 70*f**3\/3 - 10*f**2 + 2*f + 7. Let z(l) = 0. What is l?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0153745 and 0.3?\nAnswer: 0.2846255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -291*n**2 - 35506*n - 506. Give c(-122).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 3*s - 5*q - 12, 4*q = -4*s - 16. Calculate the common denominator of -20\/7 and s - ((-53)\/4 - -1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1712*a**3 - 3*a + 4*a - 1711*a**3 - a.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**5\/7 + 46*y**4\/7 + 204*y**3\/7 + 316*y**2\/7 + 214*y\/7 + 54\/7 = 0.\nAnswer: -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/15)\/(3\/(-5)). Let o = -1493 + 1494. What is the closest to f in o, 2\/9, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/4037 and -63\/358192?\nAnswer: 3940112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 0) + (2 - (12 + -2)) + (-68 - -120)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32218 = 9928*y - 12309*y - 167786 for y.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 9:34 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(19\/2)\/k**(2\/51))**(-2\/43) assuming k is positive.\nAnswer: k**(-965\/2193)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 131 - 126. Let r = -11 + 10.4. Let h = r - -0.7. Which is the third smallest value? (a) h (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*q - 42*q + 177 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*t - 8, -3*n + 2 = 3*t - 1. Solve -t*u + 6*u = -15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 3*o**5\/4 - o**3\/6 + o. Let t(l) = -5*l**2 + 3*l + 431. Let p be t(-9). Give g(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 - 5. Let n = -46058 - -46042. Let u(c) be the first derivative of 2*c**3 - 16*c + 2. Give n*t(l) + 5*u(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**2 + 1\/12*t**4 + 0*t + 0*t**3 + 0. Let j(q) = -q - 11. Give j(n(g)).\nAnswer: -2*g - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**7)\/((a\/(a\/(a\/(a**(4\/9)\/a*a))))\/a)*(a**(-2\/31)\/a)\/a**(-6) assuming a is positive.\nAnswer: a**(-173\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*h = -49*h - 3*p, 7*h - p = 66 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567 is divided by 161.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u - 3. Let y be t(-9). Let h = 35 + y. Let n(x) = x**2 + 4*x - 5. Determine n(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/((-7150)\/(-117)))\/(3\/(-5))*10\/(-36).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 (base 10) in base 12?\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64170)\/368)\/93*3\/(-9)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 0.09\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -25 (b) -5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8988 is divided by 1201.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20856 and 48928.\nAnswer: 11595936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + 1 - 1 + (-11*h + 0*h - 6*h)*(-3 + 0 + 0).\nAnswer: 50*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -73*y**3 - y**2 + y. Let r be d(1). Let n = 201 + r. Suppose 156 + n = 2*l. Calculate the remainder when l is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2446 - 43221?\nAnswer: -45667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a. Let w(h) be the first derivative of h**2 - 89*h + 619. Determine w(x(b)).\nAnswer: -4*b - 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -459 - 15?\nAnswer: -46e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -120 divided by -2\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 408, 470, 692, 1158, 1952, 3158?\nAnswer: 4860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-66) + 160\/44. Solve x*g = -49 + 41 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 983, 3702, 8251, 14630, 22839?\n\"Answer: 915*a**2 - 26*a + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -303760 by 4.\nAnswer: -75940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 110 = -97. Suppose -w*m = -18*m + 240. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 1:58 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*-1)\/sqrt(11) + -3 + -2.\nAnswer: -5 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 10*z**2 - 8*z - 2. Does 14 divide q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0016779 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**2 + 12*d**6 + 705 - 705 wrt d.\nAnswer: 1440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 3.2. Let s = 1.9 + -1.6. Let f = s - j. What is the closest to -2\/7 in -2\/9, -3\/5, f?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9142 or 9245?\nAnswer: 9142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*w + 8 = 0, -c + 4 = -0*c + 2*w. Let u be (-6)\/24 - (-13)\/4. Sort u, c, -1 in ascending order.\nAnswer: c, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -406 + 4332. Suppose -s + d = -2*s. Let n = 9626 + s. What is n rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -0.3, 5\/478 in ascending order.\nAnswer: -10, -0.3, 5\/478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**4\/3 + 17*i. Let m(t) be the second derivative of -3*t**4\/2 + t**2 - 300*t + 2. Determine s(m(b)).\nAnswer: 1296*b**4 - 288*b**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.12, -720 in increasing order.\nAnswer: -720, -1\/2, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 18*l**2 + 18*l + 22. Let o be h(-17). Solve -10 = 5*s - o*r, 0*r + 8 = 2*s + r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150592 is divided by 1299?\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -141, 92, 325, 558, 791?\n\"Answer: 233*d - 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 - 21. Let u be ((-36)\/l)\/(6\/(-16)). Factor u*j**2 + 15*j**2 - 24*j**2 + 6*j.\nAnswer: -3*j*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 < 10986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/3)\/(-7 + 471\/66). Solve 2*t - y = 7 + 3, 3*t - 5*y - q = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 851792341?\nAnswer: 3169, 268789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 147 - 267 = 0 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 - 30*q - 3531. Determine o(50).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 11*x - 4. Let y be z(-8). Suppose 9*j = y + 52. Let o(s) = -s**3 - 7*s**2 - 7*s + 2. Let b be o(-6). Solve -4*f = -j*f - b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(6\/10 - 84\/270*3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4))\/((-1)\/(-10)). Let m = 14 - x. Suppose -4*y = -m*y. Solve y*n + 6 = -3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 425656 and 744898.\nAnswer: 2979592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -51*a + 12. Is 8 a factor of q(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.2 (b) 40 (c) 12.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a0b (base 16) to base 8.\nAnswer: 35013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*-2*((-24)\/(-15))\/(-4). Let n be (663\/(-2))\/((-24)\/64). Suppose 8*m - f*m = 4*s + n, 0 = -m + 5*s + 213. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*c - 112, -3*w = -3*c + 4*c - 28. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 531652*p**3 - 531663*p**3 - 2*p**2 - 3*p - 1 + 1 + 5*p**4 to x*p + m*p**4 + v*p**2 + i + w*p**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 + 83. Calculate the smallest common multiple of 4 and r.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z - 6. Let x be g(-13). Solve -x - 2 = -3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**3 - 17*i - 24. What is the hundreds digit of f(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a229 (base 13) to base 16.\nAnswer: 5747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8520167?\nAnswer: 137, 62191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 60?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by 263962?\nAnswer: 31\/263962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*m**2 + 15*m**2 - 3 + 10 - 2*m + 1 - 2*m**2 - 1 + (-2 + 2 + m)*(-4*m + m + m) + 3*m - 3*m - m**2 + 864*m**2 - 6*m**2 + 348*m**2.\nAnswer: 1200*m**2 - 2*m + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 314916 = -10*v - 494084. Round v to the nearest one thousand.\nAnswer: -81000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(3) - sqrt(9)\/sqrt(3)) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 1936*n - 377. Is s(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3392 and 636.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 111, 211, 297, 363, 403, 411, 381, 307?\n\"Answer: -q**3 - q**2 + 110*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - -1011111011100110?\nAnswer: 1011111011101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42267210 and 22040?\nAnswer: 5510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*n**3 - 14*n**3 + 41*n**3 - 12*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2570963.\nAnswer: 23, 111781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/8))**(8\/11)*(j*j**(1\/11))\/j**8 assuming j is positive.\nAnswer: j**(-75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 5*z + 4*g, -4*z - 83 = -7*z - 5*g. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.0677*-1.51\nAnswer: 16.712227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 - 3*d - 3. Calculate r(3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 77\/4. Let x = -5647 - -28493\/5. Let y = -51 + x. What is the nearest to 0 in -2\/21, y, j?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g + 8. What is p(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b + 67*b + 85 = 2241 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12, 16, 16, 12, 4, -8, -24?\n\"Answer: -2*q**2 + 10*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8384 = -18*a. Let l = a + 529. Solve -l*z = -12 + 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 1 - 9 = 0. Find the first derivative of x**z + 11 + 0*x**4 + 9*x**4 wrt x.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 9. Suppose 2*x - h = 2, o*x + h = 6*h. Solve 0 = x*y - 0*y + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - g**2 + 0*g**2)*(g - 5*g + 2*g)*(1 - 6 + 4)*(-23*g + 49*g + 31*g).\nAnswer: 228*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 2*n = 2322. Suppose -5*i + n = -7*x + 5*x, -3*i + 142 = 2*x. Calculate the greatest common factor of i and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 - -112. Let w = -124 + k. Find the second derivative of 14*o**5 - 42*o - w*o**5 + 8*o - 2*o wrt o.\nAnswer: -800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*j**2*q**3*w - 6*j**2*q**3 - 2*j*q**3 + j*q**2*w + 8*j*q**2 wrt j?\nAnswer: 14*q**3*w - 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-345)\/9*(162\/(-216))\/((-5)\/(-36)) is divided by 47.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 670 = 2*x - 348, 1024 = 2*x + 5*w. Is 507 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*h + 126. Calculate the remainder when 81 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -438 times 2.6?\nAnswer: -1138.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37019676235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153 greater than 950068\/823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14176.29 millennia in decades?\nAnswer: 1417629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232985.4um to centimeters.\nAnswer: 23.29854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 = 4605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -4*o - 20, 601*o + 5 = 601*o - 5*y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 810 and 360?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1083 is divided by 65.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 9 = -5. What is the remainder when 53 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.239 - -1.239. Is 0.88 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 11898\/(-3960))*8\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 13*b - 8*b. Calculate the greatest common divisor of b and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**6\/90 + z**5\/30 - z**4\/36 + 7*z. Factor a(w).\nAnswer: -w**2*(w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 5*p**2 + 3*p - 2. Let z(h) = -h**3 - 7*h**2 - h - 10. Let q be z(-7). Is r(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 2*x = -13, 15*x = -c + 12*x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*t + 49 - 8*t + 9 + 57 to the form i*t + r and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3 + 396\/16 + 2 and 148\/(-32) + (0 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 13*s**2 - 2*s - 1. What is the remainder when (1 - -81)*(-6)\/(-12) is divided by h(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-1)*(0 + -9). Let o = 1 - c. Let l(d) = d**2 + 6*d - 11. What is the remainder when 8 is divided by l(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-465)\/(-120) + 14\/24*((-114)\/(-84) - 2)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/567434 and -19\/567434.\nAnswer: 567434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 7*f**2 - f - 12. Suppose 31*t - 11 = 30*t. Does 23 divide a(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -732 or -157.405?\nAnswer: -157.405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15553 and 33784?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/((-192)\/68) + (-3)\/(-18). Let n be 1 - 2\/(2\/219). Let q be (-10)\/45 - n\/9. What is the highest common divisor of v and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zepeppppepppepeep. Give prob of picking 2 p and 1 e.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11967 - 7450. What are the prime factors of f?\nAnswer: 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + (sqrt(66)*-1*-4 - sqrt(66)) - 2*sqrt(66)*2)\/(sqrt(54)\/sqrt(144) + sqrt(6) + sqrt(384) + (2*sqrt(384) - sqrt(384)))*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20*(11\/(-2))\/((-440)\/(-176))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*876.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70403368?\nAnswer: 2, 7, 23, 47, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113\/728 - -20\/91. Which is the second smallest value? (a) -3 (b) -25 (c) 4 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113.057 - -49.535. Let f = l - -60. Let p = f + 3.6. Round p to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8622076.\nAnswer: 2, 2155519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -2*n**7\/105 - n**5\/15 + 4*n**2. Find the third derivative of w(u) wrt u.\nAnswer: -96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q - 2*q)*(2*q**3 - 4*q**3 + q**3)*(3*q + 0*q + 0*q).\nAnswer: 6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*n**3*w - n**2*w + 1204*w - 2 with respect to n.\nAnswer: -30*n**2*w - 2*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7b403 (base 12) in base 8?\nAnswer: 501603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.04 + 0.96. What is the nearest to 3 in -0.4, f, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156069990933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) 4 (c) -3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*s + 244*s + 416*s + 81*s.\nAnswer: 577*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -4*c**2 + 0 - c**4 - 21*c - 2*c**3 - 1\/20*c**5. Determine d(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 3)*(2 - 2 - 2*r)*((3 - 3 - 1)*(0 + 1 - 2) - 2 + 2 + 2) as l*r + p and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyaayyaaaay. What is prob of picking 2 a?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s**2 + 3 - s + 2*s**3 - 7*s**2 + 2*s + 3*s + 13*s**3 to n + c*s**2 + k*s**3 + q*s and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.4 - -2.8. Which is the closest to -2\/5? (a) 3 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 - (-2 + (-210)\/(-25)). Let o = 11\/15 + t. Sort 0.4, -0.09, o, 5 in ascending order.\nAnswer: -0.09, o, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -537*n**2\/4 - 18831*n\/2 - 1260 = 0.\nAnswer: -70, -24\/179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -86509 - 3?\nAnswer: -86510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1437, -2291, -3143, -3993, -4841, -5687, -6531?\nAnswer: -7373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 792*u - 6089 = 24*u - 1481 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6068 + 6045 = -3*y + 5*r, -y - 7 = 2*r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttt. What is prob of sequence tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42633\/286 + 7927\/26. Let m = b - 156. Put -5, 3, m in decreasing order.\nAnswer: 3, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 - -12 - 822*-1. Let j = i + 309. Suppose 0 = -15*l + 25 - j. Which is bigger: l or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -23 and 51138.\nAnswer: 51115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4508854 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-212)\/(-18) + 329\/63 + -5. Let g be ((-4)\/3)\/(4\/c). Let r be 4 - (-3 - g - -3). Solve r = -0*d + 2*d + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 7:43 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1510*d - 70637 + 14767 = 0 for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.203 - 0.397. Let q be (-2 - -5)\/((-6)\/(-8)). Put 0.3, f, q in descending order.\nAnswer: q, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 25. Let h be ((-8)\/6)\/(b\/12). Let g be ((-2)\/h)\/(10\/(-100)). Sort g, 5, -9 in decreasing order.\nAnswer: 5, g, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36834584 and 41438907.\nAnswer: 331511256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -581, -1160, -1739, -2318, -2897?\nAnswer: -3476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2. Let d(x) = 151142*x. Determine n(d(t)).\nAnswer: 22843904164*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -94*l**2 - 15*l**3 + 15 + 169*l**2 - 75*l**2 in the form w*l**2 + f + g*l**3 + u*l and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6144\/480 - -6*6\/(-45). Solve -2*h = 2*h - u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**4\/12 + z**3\/6 - 3*z**2\/2 - 3. Let i(c) be the second derivative of t(c). Differentiate i(n) wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/20 - 3\/12. Let p(k) = k**3 + 2*k**2 - 147. Let h be p(z). Let l = h - -224. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7*l - 1. Let k(q) = -2 - 12*q + 17*q - 13*q - 5*q. What is 11*f(s) - 6*k(s)?\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2*sqrt(272) + 2 + (sqrt(272) - (sqrt(272) + sqrt(272)*-2)*-5 - sqrt(272)) - (sqrt(272)*-1 + 0 + 2)) + -4)**2 + 3.\nAnswer: 112*sqrt(17) + 1140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 1*102 - (-4 + -20 - -18).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -561*k - 12758 = 194*k + 3852 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -31396054.3 and 402.175?\nAnswer: 31396456.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a factor of 3230646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - (-72)\/20)\/((-3)\/(-15)). Solve -2 = -y*s + s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 19*u**2 - 2*u - 33. Let a be l(-19). Suppose 26 = 5*d + 9*c - a*c, 4*c = 2*d - 16. Sort 0, 1, -4, d in descending order.\nAnswer: d, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/6 or -17?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i - 5 = 0. Let v = -23771827\/138 + 172258. Let n = -18\/23 - v. What is the second smallest value in n, 1\/9, -2\/7, i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + t - 42. Let j be a(-7). Solve -5*n - w - 10 = j, -w - 6 = 3*n - 3*w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7711 (base 8) to base 16.\nAnswer: -fc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 205, 534, 1167, 2206, 3753, 5910?\nAnswer: 8779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)*j)\/j**(2\/13)*(j\/(j**0*j))**(-3\/8) assuming j is positive.\nAnswer: j**(-28\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4 = -4. Let x(q) = 12*q**2 + 6*q**r - 20*q**2. Let o be (-14)\/(-18) - 2\/(-9). Give x(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 16\/1223 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 4. Let b be y(-4). Let j = 21 + b. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -344099, -344004, -343845, -343622?\n\"Answer: 32*s**2 - s - 344130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-6\/5)\/y*(y*y\/(y*y**0))\/y*y\/(y\/y**(3\/5))*y**(-6)*y*((y*y*y\/(y\/(((y*y\/(y\/y**(-2))*y)\/y)\/y)))\/y**(5\/4))**(-19) assuming y is positive.\nAnswer: y**(363\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1\/12))\/(b*b**(-5)*b))\/((b\/b**(-5))\/b**(-4)) assuming b is positive.\nAnswer: b**(-71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.067 * 0.7\nAnswer: -0.0469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 407437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1435*l - 10 = a + 1438*l, 3*l = -2*a - 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(26) - -2*sqrt(26)))\/sqrt(2).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33 + 644?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*u + 1273*u - 4578*u = 1824*u - 599996 for u.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*f + 152*f + 429 = 0 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/6*(24\/(-110))\/1. What is the second smallest value in 0.5, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(16\/(-4))*10*(-6)\/(-42).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -13*w**5\/5 - 3*w - 15. Differentiate q(s) wrt s.\nAnswer: -52*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**4\/2 + 29*k**3\/2 - 81*k**2\/2 + 79*k\/2 - 13 = 0?\nAnswer: 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23 + 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-84)*(-140)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 4:05 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q + 5 + 2 + 0.\nAnswer: -10*q + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100 + -40. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -106275*t + 18106.\nAnswer: -106275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14166, 57397, 129482, 230421, 360214?\nAnswer: 518861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(1 - 7) + 70\/21. Suppose 0 = -q + m*q - 42. What is the remainder when 38 is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 99 = -177. Suppose 2 = -5*q + w. Suppose 3*l - 288 = -l. Calculate the greatest common divisor of q and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15048 = -1354*n - 124*n + 110*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24999 is divided by 12359?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9640119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 6*o - 6. Let w be l(7). Let j(v) = 2*v + 1. Let u be j(w). Suppose -b + u + 2 = 0. Solve -2*q - b = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*d**2 + 25*d**2 + 21*d**2 - 4368877*d + 4368879*d + 13*d**2 + 2 + 4*d**3 to p + z*d + c*d**2 + m*d**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13518 or 229809\/17?\nAnswer: 13518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4780457 + 6265543 = -14*y. What is y rounded to the nearest ten thousand?\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11130 by 3710.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 2*b = 7, 3*g = 4*g + 5*b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3\/5 - 68*r**2\/5 + 78*r - 324\/5 = 0. What is r?\nAnswer: 1, 6, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.944 at least as big as -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*b - 39, 4*r + 5*b + 3 = 2*r. Suppose -k = -r*k. Solve 0 = 4*c - k*c - 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 5*r**4 - 446955*r**3 + 60278175*r**2 - 2711606625*r + 40667265000 = 0.\nAnswer: 45, 89256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 86.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7313, -14627, -21943, -29261, -36581?\nAnswer: -43903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 173 - 171. Suppose -3*u = -15, 2*u + 2231 + 1693 = x*l. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 take away -15407?\nAnswer: 15399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 188728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2059 less than 16?\nAnswer: 2075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b**2 + 4383036 - 27*b**3 + 12*b**2 - 4383034.\nAnswer: -27*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-80)\/(-44) - 4\/(-22). Suppose -k + 9 = 2*k. Suppose x + 12 = h*g - k*x, 0 = -3*g + x + 33. Solve -4*q + 3*b = -3 - 1, -q - 2*b = -g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 28*s + 8*s**2 + 77*s**2 - 29*s. Is 7 a factor of p(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6665)\/(-5) - 35\/(-7). Suppose -83*w + 81*w = -q. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 339 - 333. Solve 3*m + b*m - 9 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(1\/2)*b*b*b**(-4))\/(b*(((b**2*b)\/b)\/b*b*b)\/b*b*b**(2\/7)) assuming b is positive.\nAnswer: b**(-81\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-1) + (190 - -7) + 6. Let r = k - 199. Let p(n) = n**3 - 2*n - 1. Let l be p(-1). Solve 0 = -r*u - 5*o + 6, l = -u - 5*o + 4*o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*b - 0*k + 172, -3*b + 4*k + 142 = 0. Suppose 4*w - n = 27, 2*w - 57 = 2*n - 51. Suppose b = d - w. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 + 180015974.\nAnswer: 180016047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6492593 or 0.2?\nAnswer: 6492593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j\/j**32)))**(-7)\/(j**(1\/10)\/(j\/j**(1\/12))))**34 assuming j is positive.\nAnswer: j**(222173\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 2:38 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35616 is divided by 34368?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11110011002 + -10?\nAnswer: 11110010222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times 1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 99*w + 393. Calculate p(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 774351 + -542618. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcoottotjcttcooot. What is prob of picking 1 t and 2 c?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 5. Let k be j(-3). Let g = 1 - k. Let z = g + -1. Which is the nearest to -1\/2? (a) z (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 375, 374, 373, 372, 371?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2339, 1, 0, -1, -3 in ascending order.\nAnswer: -2339, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 11:13 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.065? (a) -5 (b) -3 (c) 0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/(-4)*-1)\/(5\/(-10)). Which is the nearest to z? (a) -0.3 (b) 0.4 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0. Let d = 218\/5 - 44. Suppose 1 = -3*q + 2*q. Which is the closest to n? (a) -0.2 (b) d (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 9*i + 14. Let o be u(6). Let t(k) = -3*k - 7. Let j be t(o). Suppose -10 = -j*w + 3*w. Sort 3, w, 1, -5.\nAnswer: -5, 1, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (35 - 139) + 57 + -30\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nb when two letters picked without replacement from bnrlt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*(-1 + sqrt(612) + -1 + sqrt(612)) - 4*(3*sqrt(1377) + sqrt(1377) + -3))*-2)**2.\nAnswer: -6622528 + 69888*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 203, 365, 495, 593, 659, 693?\n\"Answer: -16*a**2 + 210*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 + 51.3. Let b = d + -1.3. Let x = -16 - -30. Which is smaller: b or x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - d**2. Let s be i(-1). Let r(z) = z**2 + z + 38. What is the units digit of r(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, 8, 4 in descending order.\nAnswer: 58, 8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00061855 to 5 decimal places.\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 8*m**2 + m + 2. Let v(p) = 28*p**2 + 6*p + 14. Let d(h) = 3*i(h) - v(h). Let a(g) = -9*g**2 - 7*g - 15. Calculate -3*a(z) + 7*d(z).\nAnswer: -z**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273 = 12*s + s. Solve 4*i = -3*o - s + 2, -5*o = i + 26 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/24 and -67\/336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*p - 111, 4*b = -0*b + p + 379. Suppose y + 3*r = 64, 88*r - 192 = -3*y + 85*r. Calculate the greatest common divisor of b and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.193187 to 3 decimal places.\nAnswer: 0.193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.5, -1, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41415091*0.1.\nAnswer: 4141509.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-3 + 44\/12). Solve 0 = k - p*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 1 - 1)*(4 - 5 + 0)*(-5*m + 6*m - 3*m) to the form q*m + o and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14b + a?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*z**3 + 65*z**3 + 51*z**4)*(-2*z + 4*z + z).\nAnswer: 153*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 n when four letters picked without replacement from {y: 9, k: 7, j: 1, n: 2}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 23, 0, 6, -67.\nAnswer: -67, -3, 0, 6, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.03 (b) 2 (c) -1 (d) 0.3 (e) 9.5 (f) 3 (g) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 22 = 25. Suppose q = -5*w - 12 + 1167, -215 = -w + g*q. Is 46 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 27*k + 14*k - o - 4*o + 10 = 0, -6*k + 66 = -9*k - 15*o for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r = r + o - 5, 0 = 4*r - 5*o + 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -7*n**2 + 292*n + 19. Calculate s(44).\nAnswer: -685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.19 + -4.51. Let i = 5.6999963 + n. What is i rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*o + 17*o**2 + 83*o + 11*o**2 - 49*o to d*o**2 + n*o + x and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -2, 42, 12 in descending order.\nAnswer: 42, 12, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -239, -458, -677, -896, -1115, -1334?\n\"Answer: -219*q - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 332 by 8.\nAnswer: 83\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(3888)*1 + 1)**2 + (sqrt(432) + ((-1*sqrt(432) + sqrt(432) + sqrt(432))*2 - sqrt(432)))\/((2*sqrt(18))\/sqrt(2)).\nAnswer: 76*sqrt(3) + 3890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-128)\/(-24) - 5)\/((-8)\/6). What is the second biggest value in y, -33, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 382315 to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -45, -3, -187, -5 in descending order.\nAnswer: -1, -2, -3, -5, -45, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10333131233 (base 4) in base 16?\nAnswer: 13f76f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 6106 - 6118. Put 2, -4, y, 9, 7 in increasing order.\nAnswer: y, -4, 2, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0232789539165 less than 3?\nAnswer: 1.9767210460835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 5*h**8\/336 + h**7\/14 + h**6\/8 + h**5\/12 - 2*h**2 - 2*h. Suppose u(b) = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1300) + 0)**2 + (sqrt(1300) - (2*sqrt(1300) + sqrt(1300))) + 1.\nAnswer: -20*sqrt(13) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 39 + -4 + (-190 - -165).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 9 = v. Suppose -62 = 2*r + 3*a, -4*r - a - 124 = 4*a. Let k = r + v. What is the greatest common factor of k and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 0. Let r = 6 + v. Let g = -227 - -283. Calculate the highest common divisor of r and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 + 166*o + 1400. Determine c(-39).\nAnswer: -511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -67*k + 369. Is 18 a factor of s(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 14) in base 2?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 854 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d + 7. Let j(c) = 4*c + 8. Let x(m) = -3*h(m) + 2*j(m). Let k be x(-7). Factor -5*s + 2*s**4 + 4*s**3 - s**2 + s**2 + s - k.\nAnswer: 2*(s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12, -2, -77, -1, 4 in increasing order.\nAnswer: -77, -5, -2, -1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 10941501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.45 (b) -3\/4 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/3))**(15\/4))**(-2) assuming v is positive.\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4 = 27. Let k(r) = 4*r**2 + 10*r - 6. Calculate the remainder when k(-9) is divided by c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18688 and 8030000?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + n - 1. Suppose -2*y + 8*y - 5*y = 0. Calculate z(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117 + 132 + (-166 - -70).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-two fifths of a minute?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + w + 2 = 0, 2*o - 7*o + 4*w = -8. Suppose -m + 4 = -o. Find the second derivative of 4 - 10*s**m + 6*s**4 + 6*s - 4 wrt s.\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -9836081\nAnswer: 5\/9836081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 5*y + 9*y)*(-3*y**2 - 2*y**2 + 4*y**2)*(-3*y + y - y)*(0 - 3 + 4) - 3*y**4 + 11*y**4 - y**4 + (y**2 - y**2 - 2*y**3)*(2*y - 4*y + 0*y).\nAnswer: 32*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*z - 136214 = 65273. Which is smaller: -1395 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26\/121 (b) -0.4 (c) -0.3 (d) 0.49 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1376452 = -3*g + 140452. Let w(v) = v**3 - 5*v**2 - 7*v + 7. Let o be w(6). Let r be 30*o\/((-12)\/g). Round r to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 97185 and 15903.\nAnswer: 874665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12.14+-9.3314\nAnswer: -21.4714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 26. What is the remainder when 8\/(-12) + 146\/3 - (-2 + 3) is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 5848588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187204508.\nAnswer: 2, 83, 563869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.4 - 12.6. Let l = -14.6 - w. Let i = 5.027 - 0.027. Which is the nearest to 0? (a) l (b) 1\/11 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 26.6. Let q = p + -12. Which is the smallest value? (a) q (b) 5\/6 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 3*f + 12 = 6*x, 4*f - 8 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2. Let z = 15 + -13. Let n(f) = -f**2 + 6*f - 6. Let g be n(4). Let r(c) = z*c + g*c - 2*c - c. Calculate p(r(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5 - 1.85. Let i = r - 11.15. Let z = i - -11.500079. Round z to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 9:36 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-8) + (45\/(-20) - -3). Suppose -4 = -h + y. Solve 0 = 3*i - h*i + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.48 or 2\/652063?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3*-1)\/((-3)\/2). What is the greatest common factor of 5 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g - g - 3*g + (-g - g + g)*(-5 + 2 + 2) + (-4 + 0 + 3)*(-5*g - 2*g + 5*g))*(-2 + 1 + 0).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyhtyt. What is prob of sequence thy?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10)*-300*33\/(-792)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in -46, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/88)\/((-32)\/4)\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by (29\/3)\/(120\/(-18) + 7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*x - 28 = 0, -12*w + 10 = -11*w + 2*x. Solve w*n + 13 = -4*s - 5, 0 = -3*n + s + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mc when two letters picked without replacement from oscmssssoo?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-44)\/6 - (-16)\/48. Let z(r) = -2*r - 11. What is z(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**3 - 10*x**2 + 3*x + 17. Let c be j(-5). Let l(o) be the first derivative of 7 - 4\/3*o**3 - 8*o**c - 16*o. Find g such that l(g) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -191 - -167.1. What is h rounded to 0 dps?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002101122222 (base 3) to base 13.\nAnswer: -173474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2210013 - 32?\nAnswer: -2210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 22*v**2 + 32*v + 545. Give n(-23).\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16075 - w + 16075 + 3*w + 2*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 984.5\nAnswer: -984.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ab4 + -9?\nAnswer: 1aab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 185 = -642*u + 639*u, -4*u + 4*u + 4*u = 24*r - 888 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -46107.8354 rounded to the nearest one hundred?\nAnswer: -46100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5464 (b) 11 (c) 2\/7 (d) -5 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 12 + 52 = 0. Let r = -8 + j. Factor -1\/3*s**3 + r*s**2 + 1\/3*s + 0.\nAnswer: -s*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28514 - 27438. Sort h, -0.6, -5 in descending order.\nAnswer: h, -0.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 7:35 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -448405*z - 3587242. What is g(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.1 + -3. Let v = 1.5 + -1.2. What is the second biggest value in d, 0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1195 is divided by 339?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15877*p**2 + 0*p**3 - 6*p**3 - 15877*p**2 + 0*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**2 + 0*f**4 + 22*f - 23*f - f**3 + 3*f**3 - 2*f**4 as t*f**3 + g*f + k*f**4 + m + b*f**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a kilometer?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2252 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**5\/10 - 19*j**2 + 28. Let l(p) be the second derivative of o(p). Let q(i) = -4*i. Give l(q(a)).\nAnswer: 96*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/15)\/((20\/(-4))\/25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*p + 34 = 0, -7 = 3*a - 4*a - 4*p. What is the remainder when a is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/6 and ((-2)\/3)\/((-88)\/1749).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52526651 (base 8) in base 6?\nAnswer: -1035425025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 13 - 21 + 3 - 4*z + 8. Determine l(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-3) + -10)*(1 - 0\/(-5)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -247*b**3 + 17*b**2 + 75*b + 22. Let l(q) = -123*q**3 + 10*q**2 + 38*q + 11. Let f(k) = 5*l(k) - 3*v(k). Is f(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3185 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 - 71 + 303 - 441*o**2 + 872*o**2 - 79 - 420*o**2 - 79.\nAnswer: 11*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -56206?\nAnswer: 1\/56206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1339260125 + -0.291\nAnswer: -0.1570739875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 55*n - 498. Let v be y(9). Let d(u) = -u + 12. What is d(v)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -10, 11, -94, 3 in descending order.\nAnswer: 11, 3, -2, -5, -10, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 22184 = 5*d, -7*d + 4*d = -3*v + 22224. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) 0.1 (c) -3 (d) 39\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 5*c = 136 - 142, 2*f + 3*c = -2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 7*k - 19. Let s(m) = 3*m. Let w = -2 + -2. Let v(f) = -6*f + 11*f + 8*f. Give k*s(u) + w*v(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8)*-2)\/(13\/(-130)*(-245)\/(-147)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 4*t = 14, -2*t + 0*t = -8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49395 divided by 4.\nAnswer: -49395\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32441*n + 352 = -32529*n - 235 - 205 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -310618 + 350998443\/1130. Let o = i + 1\/113. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1292 and 692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -2\/11 (b) -5 (c) 0.5 (d) 5 (e) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 1:40 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014418916 to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 2*v**2 + 111*v - 2. Let z(l) = 5*l**3 + 11*l**2 + 556*l - 11. Calculate 11*t(j) - 2*z(j).\nAnswer: j**3 + 109*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -162, -103, -44, 15?\n\"Answer: 59*i - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80593 and 9047.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/4)\/(9\/18). Let y = 6.8342 + 0.1658. What is the nearest to x in 1\/6, y, -5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by 5?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*y - 39*y - 17*y)*(-10 + 2*y - 7 + 9).\nAnswer: -242*y**2 + 968*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 231*o**2*q**2 - 2*o*q**2 - 2494*q**2 wrt o.\nAnswer: 462*o*q**2 - 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.052 + 0.081. Let j = 0.067 + z. Which is the closest to -1\/5? (a) 3 (b) j (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -be - 1?\nAnswer: -bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t + t + 0*t + 0*t. Let y(f) be the second derivative of -7*f**3\/6 - 14*f. Give g(y(j)).\nAnswer: 28*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 8) to base 4.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*q - 675 - 15*q + 11*q - 7*q as u + c*q and give u.\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -727?\nAnswer: -726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50755, -50756, -50757, -50758, -50759, -50760?\nAnswer: -50761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 662551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 821*g - 12545. Give o(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/2)\/(-3)*5\/(-40). Let t = 24\/17 + 166\/51. Let n = t + -5. Put -4, y, n in descending order.\nAnswer: y, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 89*l**2 + 7*l + 6. Let b be (1 - (-2 + 5))\/((-2)\/(-1)). What are the prime factors of d(b)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (546\/(-13))\/(1\/3*1). What is the common denominator of (-6 - -3) + (-813)\/d + -3 and 101\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3177528383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 i when three letters picked without replacement from izree?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -16567.83565105?\nAnswer: -16567.93565105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-9) - 56\/198. Let a = -331899 + 331899.3. What is the fourth biggest value in -1, n, 1\/10, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 19 + 2 + 28 = -7*x - 11*v, v + 2*v + 2 = 5*v for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15 + -14)\/((-3)\/(-33)). Solve 0 = k - j + 7 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 56 - -2772375?\nAnswer: 2772453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 3:10 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 876486 and 574158.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/3427?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*r + 22 = 0, 0 = r - 0 + 3. Let n be 2\/6*b*-3. Suppose -5*t + 155 = -u, u = 2*u - n. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((104\/24)\/(-13))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 142275 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -375 - -36977.\nAnswer: 36602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530617.\nAnswer: 37, 14341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*p, -p - 3*p = 0. Suppose 4*m - 49 + 1 = u. What is the lowest common multiple of 2 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -9, -3.8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 108a512 + 2b?\nAnswer: 108a541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*t = -77*t - 28. Suppose 0 = 2*d + 5*s - 12, d - 3*d - s = -t. What is the remainder when 50 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 - 1150?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - 3 - (-97 - -81)) + 18\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(50)\/sqrt(10))*-5 + -1 + (sqrt(80) - (sqrt(80) + 4)**2).\nAnswer: -87 - 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1 - 307 + 6 - 185 + (2 + 2 - 3)*(5 - 2 - 6))*(3*b**3 - 4*b**3 + 2*b**3).\nAnswer: -490*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 140\/(-15))*3 - 19?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*h = 9*u + 3955, 5*u = -2*h - 3969. Let i = -7947 + u. What is i rounded to the nearest one hundred?\nAnswer: -8700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {e: 2, c: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 301 + -178. Factor -v**4 - 5*v**3 - y - 7*v**2 - 124 - 3*v + 247.\nAnswer: -v*(v + 1)**2*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-3)*(-2)\/(-4). Let p = -2 + -2. Let k be p\/(-6)*(-18)\/30. What is the nearest to b in 0.3, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*w - 192 = 154 + 454 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10961 + 11491. What is the smallest common multiple of c and 35?\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 20, m + 5*w = 2*m - 28. Suppose 0 = n - 2, -4*k + 3*k + m*n = -11. Differentiate 7*a + k - 11*a**2 - a - 6*a with respect to a.\nAnswer: -22*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-1 - 0)\/((48\/(-968))\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-63) - 4\/(-18). Let r = -3553 + 3556. What is the second biggest value in r, 0.4, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-438892)\/(-21362) - (19 + 1).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - 5*p**2 - 3 + 2)*((-2 + 0 + 3)*(-4 - 2 + 4) - 2 - 1 + 4).\nAnswer: 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4032823416 to the power of 1\/3, to the nearest integer?\nAnswer: 1592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) -0.4 (c) 0.6 (d) -17 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**5\/20 - 8*a**2 - 4*a - 166. Let c(d) be the second derivative of t(d). Let i(s) = -s**2 + 6*s**2 + s**2. Give c(i(u)).\nAnswer: -108*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10747161, -1\/6, 5 in descending order.\nAnswer: 5, -1\/6, -10747161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/(-4) - 5)*-50. Calculate the greatest common factor of 60 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5064 - -6?\nAnswer: -5056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116 - -117.75. Let s = 665.1 - 665. Which is smaller: s or a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -317 or 150756?\nAnswer: -317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 32 = -7*l. What is the remainder when l is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 2*j**2 + 7*j - 27. What is the tens digit of k(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28628, 57358, 86120, 114914?\nAnswer: 143740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 - 46*p - 59. Let l be k(-22). Suppose 2*c + 18 = -2*j, -c = 4*j - 3*c + 42. Let q be 0 + 2 - l\/j. Is 0 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eao when three letters picked without replacement from {e: 1, v: 2, b: 2, y: 3, a: 4, o: 2}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a. Let f(m) = -42*m + 2. Let i(j) = -103*j + 1. Let l(y) = -2*f(y) + 3*i(y). Calculate l(w(v)).\nAnswer: -450*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3802541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g + g - g)*(3*g - g + 0*g + (-1 - 5 + 5)*(5*g - 5*g - 3*g)) in the form u*g**2 + p*g + c and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 2:05 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 12 = 2*i. Suppose -16 = -j - 3*k - 3, -33 = i*j - 5*k. Let z(n) = -3*n + 1. Let s(m) = m. What is j*z(l) - 5*s(l)?\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00019983 rounded to six dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/12)\/(1\/1)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -219, -3, 0 in descending order.\nAnswer: 0, -3, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2218137 divided by 3?\nAnswer: -739379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/56 of a week?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 14 = -4. Let b = -0.7 + -0.3. Let h = 6 + b. Sort s, -4, h.\nAnswer: s, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*h + 8 = -2, 17 = 3*j - h. Suppose -4*g = 0, 2*z - j*g = -z - 6. Let i be (8 - (-8)\/z) + -4. Solve i*r = -4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.476 rounded to 0 dps?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 108308 - 387794 = -0*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 9:17 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3 - 16352*o**2 - 67107840*o - 2130739200 = 0. What is o?\nAnswer: -8160, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1431813807 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5633.779 microseconds to seconds.\nAnswer: 0.005633779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010010 (base 2) in base 9?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/31? (a) -0.1 (b) -5 (c) -0.3 (d) 11\/5 (e) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1228 and 10?\nAnswer: -12280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5883.2 + 5910. Which is the second biggest value? (a) r (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 3\/5 (b) -400 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 169 and 234?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -1\/1820525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 3*(-1)\/(-3). Let k = 0 - -3. Solve -2*r = -z - k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3)*(-12)\/(-8). Calculate the greatest common factor of r and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 4*r - 5. Let b be h(11). Suppose -p + 43 = 3*u + p, 0 = -4*u + p + b. Suppose 22*x - 505 = u*x. Does 32 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/21)*f*f**(2\/11) assuming f is positive.\nAnswer: f**(262\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(686)*1 - (sqrt(28)\/(sqrt(2)*2) + sqrt(14)))\/(sqrt(42)\/(sqrt(24)\/(5*sqrt(4)))) + 4 + 3.\nAnswer: 11*sqrt(2)\/10 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19523?\nAnswer: 7, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*s**3 - 2)*((-s + 0 + 0)*(-1 + 1 - s) - 3*s**2 + 3*s**2 - 4*s**2).\nAnswer: -6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 366979?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 38090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5944 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-15)*(-85)\/(-357).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -27, 2\/41, 1.4 in decreasing order.\nAnswer: 1.4, 2\/41, -21, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 320882583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 338275 and 15575.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 125834034 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/7 (b) -0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-290 + 290 + 55*l + (-2 + 4 - 1)*(3 - 3 - 2*l))*(2 + 4*l - 2).\nAnswer: 212*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5544843 a multiple of 667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12 - 6 - -31) + -9. Solve 5*h - k = 12*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5772300 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0 + 4 = i, g = -4*i + 16. Sort 5, g, -5 in descending order.\nAnswer: 5, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 441?\nAnswer: -440.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 294301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1394\/3 + 464. Let c be -1 + (-2)\/(-4) + 0. Put c, j, -16 in ascending order.\nAnswer: -16, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1415163 + -4?\nAnswer: -1415167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 20, -2, -4.\nAnswer: -4, -2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 3. Let u be d(0). Suppose 172*g - 178*g = -918. Suppose u*l - g = -0*l. What are the prime factors of l?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 600, 603, 598, 591, 588, 595?\n\"Answer: h**3 - 10*h**2 + 26*h + 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -27.1?\nAnswer: -162.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 1:21 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 542265 and 1815?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-18) + (-58)\/(-6). Suppose s - d = 2*s + 5*g, 2*s = -g. Solve 11 = -4*l - s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217386707*h + 3*h**2 + 217386707*h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2468*p + 3238.\nAnswer: -2468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 417 = -375. Let s be (h - -4) + (0 + 7 - 2). Solve -2*f = 5*p + 2*f + 2, s*p = 2*f + 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.313 - -0.619. Let z = 0.094 + v. Which is the nearest to 0.2? (a) -2 (b) 2\/9 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, d: 6}. Give prob of picking 3 d.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*v + 233*v - 3054 = -4*g, -2*v = 5*g - 3801. Which is smaller: g or 5322\/7?\nAnswer: 5322\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -776 = -313*o - 75*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4290\/(-1800) - 18\/(-8)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/3495 and 93\/40.\nAnswer: 27960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 123*r**5\/20 - r**4\/4 - 19*r**3\/6 + r**2\/2 + 2079*r. Find the second derivative of q(d) wrt d.\nAnswer: 738*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 16) to base 12\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - 2430510155?\nAnswer: -2430510212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0.3. Let q = 120 - 125. Let z be ((-8)\/(-14) - 0)*1. What is the nearest to p in q, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l + 44 = 20*l. Let k = 2 - -14. Let m = l + k. Solve -m + 15 = 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/12 and 17\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**3 - 548*n**2 + 78765*n - 998046 = 0.\nAnswer: 14, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*m = -r - 16, -5*r - 2*m - 19 = 0. Let v be 156\/(-30) + (-12)\/(-10). Sort r, v, 5, -1 in descending order.\nAnswer: 5, -1, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*a = -18 - 27 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 801.4731 millilitres to litres.\nAnswer: 0.8014731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/9))**(2\/7) assuming s is positive.\nAnswer: s**(20\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1058 and 844813?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -316*k - 12334. What is i(-39)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 13 = 5*t, -2*t = 6*n - 5*n. Let f = n - 18. Does -15 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3069 - 1929. 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: Solve 40*k = 39*k - 4, 4*h + 2*k - 15 = 13 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 - (-2128 - -2139)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -387*h - 1 + 270*h - 95*h - 1351*h - 3587*h**2 wrt h.\nAnswer: -7174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-450))\/((-2)\/(-4)). Let n = 6\/25 - j. What is the closest to -1\/5 in -0.5, 0.3, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000652109627 rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-603404)\/(-14) + (12\/14)\/(-3). Round p to the nearest one thousand.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/4 and -83\/6588.\nAnswer: 6588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 10:14 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y + 140 = 43*y. Let s be y - 1\/(3\/(-6)). Solve z + s*g - 19 = 0, -2*g + 6 = 4*z - 0*g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 + -166660?\nAnswer: -166680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4275, 8542, 12809?\nAnswer: 17076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**6\/60 - x**5\/60 + x**4\/24 - x**3\/6 + 4*x**2 + 8. Let k(g) be the second derivative of c(g). What is k(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 6*a + 4*a + 1753 = 0, -3541 = -2*o + 3*a. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (((-130360)\/(-3))\/4)\/(556\/834).\nAnswer: 5, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 348?\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.827, -3, 1, -1\/3 in increasing order.\nAnswer: -3, -2.827, -1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 0. Let m = -2.7 - u. Let t = -3.83 - -3.83. What is the third smallest value in m, 1\/2, t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**3 + 3*d**2 + 3*d. Suppose -3 - 7 = 5*h. Let c be m(h). What is the units digit of (-87)\/(-27) - (-4)\/c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38425498.\nAnswer: 2, 19212749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 94321\/758 or 124?\nAnswer: 94321\/758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63629a (base 12) to base 13.\nAnswer: 42aa17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1546 + -1384. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109 + 495. Calculate the remainder when u is divided by 134.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0111283 - 14.967\nAnswer: -14.9781283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 5*c + 9*c)*(0 - 2*c**2 + 0) + 2 + c**3 - 2 + (4 - 1 - 2)*(c**3 - c**3 - 4*c**3).\nAnswer: -17*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.31351865 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 348\nAnswer: -696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 4*t + 31 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15106810 + 19*o**2 - 15106810.\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11100001010101 (base 2) to base 4\nAnswer: -3201111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -873.51 + 870. What is v rounded to one decimal place?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) -12\/11 (c) -101361\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -8175\nAnswer: 8178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-10)\/(-15) + 6292\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 7445523079.\nAnswer: 7445523080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 - -27458. What are the prime factors of w?\nAnswer: 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hu when two letters picked without replacement from {c: 2, h: 3, u: 10}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.313537 rounded to one dp?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*f + 5*f - 1 + 9*f + (5*f - 3*f + 10*f)*(-3 + 2 - 1))*(-3 + 4 - 2).\nAnswer: 20*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2433465*n**2*u**3*v**2 - 2*n**2*u**3 - 26*n**2*u**2*v + 2*n**2*u + 2*n**2*v - 2*n*u**3*v + 640*v wrt v?\nAnswer: -4866930*n**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*d + 6*z - 105, -d = -2*z + 40. Let g = -25 - d. Suppose k + 4 = 2, g*k + 118 = 3*o. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -642990532*o**2 + 1519994351*o wrt o.\nAnswer: -1285981064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 331276.9 litres?\nAnswer: 331276900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*h**3\/4 - 110670*h**2 - 74754816*h - 14603575296 = 0. Calculate h.\nAnswer: -2152, -3008\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131145 divided by 26229.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.117515 to 2 decimal places.\nAnswer: -58.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -6303356 greater than or equal to -6303357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjq when three letters picked without replacement from qqrqqqqjrjqqqqjjqqqj.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 210103764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 206106?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 1 + 3 = 0. Let a = -4.5 + 4. What is the closest to -0.1 in a, w, 1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d*g**3*l - 253*d*g**3 + 1658*d*g**2*l - g**3*l + 245*g**3 + 123*g**2 wrt g.\nAnswer: -6*d*l - 1518*d - 6*l + 1470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00443976 to 4 decimal places.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 122.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 1\/6*s**3 + 2*s + 7\/10*s**5 + 0*s**2 + 0 + 1\/6*s**4. Calculate c(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from 0.0068218916468.\nAnswer: -6.9931781083532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17632*0.1.\nAnswer: 1763.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*c = 6, -i - 38*c + 35*c = 4. Solve 5*l = i*l + 3, 2*j = 5*l - 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/(-14)*(-25)\/(2625\/(-360)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 20.9.\nAnswer: 1.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -110110 (base 2) to base 4\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/18 + (-8)\/(6480\/(-68022)). Is 85 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 2:33 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16644.019105 + -16644. What is j rounded to four decimal places?\nAnswer: 0.0191","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/17, -4, 3\/236?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -dbde9 - -4?\nAnswer: -dbde5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(108)*-1 + (sqrt(108)*1 + sqrt(108))*-6)\/(sqrt(900) - 1*((sqrt(900) - 5*sqrt(900) - sqrt(900)) + sqrt(900)))*6)**2.\nAnswer: 6912\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**3*l*n - 14*b**3*n**2 - 4*b**3 + 6*b*l**3*n**2 + 2*b*l**3*n + 8*n wrt n.\nAnswer: -28*b**3 + 12*b*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + (-5 - -4) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 9*d**2 - 3*d - 9. Let b be n(-9). Suppose 4*u - b = -2. What is the smallest common multiple of u and ((-2)\/(-4))\/1*18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c + 2. What is d(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1484 and -61\/2933974.\nAnswer: 41075636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 729.4 + -724.4. Which is the fourth biggest value? (a) -29 (b) -2\/3 (c) -2 (d) l (e) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(3)*1))\/(sqrt(50)\/(sqrt(10)*-3 + sqrt(10))).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 6*g + 3. Let j be i(6). Solve 2 = 3*x - l, -j*l = 4*x + 2*l + 29 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2010 and 9782.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 532 and 7?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 305847956 to the nearest integer?\nAnswer: 17489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -69*56\/4*(64\/160)\/((-42)\/(-10))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 69*n**5 - 408*n**4 - 657*n**3 + 912*n**2 + 84*n = 0. Calculate n.\nAnswer: -2, -2\/23, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/4)\/(6\/(-12)). Suppose 3*z - 9 = -2*c, 0*z + 2*z - f*c = 25. Let w(s) = 9*s - 20. Let o be w(z). What is the greatest common factor of o and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -457334 at least -457335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1756323.\nAnswer: 3, 21683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 12, f: 1}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 5*n**2 - 5. Let q be p(5). Let a(z) = z**2 + 4*z - 2. Let f be a(q). Suppose 4*k = f*k - 48. What is the common denominator of k and 47\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 728 + -519. Suppose -5*i = -o + 44. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0*2\/2)\/1. Suppose 3*t - 5*t - 2 = x. Let w = 456 - 455. Which is the second biggest value? (a) t (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19834421 to the power of 1\/3, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**4 + 6*n**4 - 2*n + 2 - n**3 - 3*n**4 - 4*n**4 to the form s*n**4 + j*n**2 + w*n + v*n**3 + y and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -626.\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33640412 + -1?\nAnswer: -33640413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21420 divided by 84?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -82*j**4\/7 - 30342*j**3\/7 - 61174*j**2\/7 - 31650*j\/7 - 736\/7 = 0. What is j?\nAnswer: -368, -1, -1\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 3*i + 1530. Suppose -i = 4*q + 2. Let y = -12 - q. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*r + 138405, 5*r + 6*b - 3*b = -345935. What is r rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2 - 8 - 37 + 49 + 6*n**2 + n. Let c(x) = 4*x**2 + 2. Calculate 5*c(d) - 2*u(d).\nAnswer: 2*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.53 - 0.52999376. Round c to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) 3\/8 (c) -5906 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*p = 2*o + 13, -3*p = 4*o + 1. Suppose -3*y + 251 = 2*s, 3*y = p*s - 347 - 333. Is s a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 273.419*612.\nAnswer: 167332.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2832253.\nAnswer: 31, 211, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - (0 + sqrt(99) + sqrt(11)) - (sqrt(11) - (-2*sqrt(99))\/sqrt(9)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111110111110010 (base 2) in base 11?\nAnswer: 101778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 36*t + 54 - 28 in the form q*t + g and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -29237 - 462\nAnswer: -29699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-3)\/(-24))*5\/(-30)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -3.776 = -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472 = 65*u - 6*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 181603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 196255723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*c**2 - 60*c**2 + 6*c**3 - 2*c**3 - 12*c**2 + 103*c**2 - 5*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + (3*sqrt(30)*1 - sqrt(30)))\/(sqrt(24)\/sqrt(4)*3).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vavvvvvavvvvvvvavvvv. Give prob of sequence vv.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 0*x**4 + 0*x**3 - 9*x + 1\/60*x**5 + 0*x**2 + 0. Factor w(h).\nAnswer: h**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*m - 4 = 0, 5*c = 4*m + 8 - 0. Suppose -12 = -c*y - 2*y. Suppose y = a - 1. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 7:05 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 245\/(-14) + (-5)\/10. Let m be -4 + ((-463)\/(-117) - y\/(-162)). What is the nearest to m in 2\/13, -1\/2, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 - 60. Suppose 708 = -w*r + 8*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -224*r + 952. Let o be t(4). Calculate the highest common factor of o and 3808.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -6*d**5\/5 - d**4\/4 - 14*d + 9. Let n(t) be the first derivative of w(t). Find the third derivative of n(k) wrt k.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79682\/17031 + -68\/5677. Factor 0 + 1\/3*a**2 + n*a.\nAnswer: a*(a + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.168\nAnswer: 0.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a hour in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, g: 2, v: 5}. Give prob of sequence gv.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000034437 rounded to seven decimal places?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 b, and 1 l when three letters picked without replacement from cbbbclxlluh?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4931386*b*p + 1328904*p wrt b.\nAnswer: 4931386*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*t**3 - 69*t**3 - 65*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + 4 + sqrt(272)*6 + -5 + -4*sqrt(272))**2 + -1.\nAnswer: 1082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1065 - 1035 = -15*q. Sort q, -4, 6, 28.\nAnswer: -4, q, 6, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56*g*q**3 - g*q**2 + 1387669*g*q - 7804373*q**3 - 9*q with respect to g.\nAnswer: -56*q**3 - q**2 + 1387669*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 10001?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eojjbxmbjjoojjejjmo. Give prob of picking 2 o.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1288176 (base 12) in base 11?\nAnswer: 2082570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**4\/4 - 1701*v**3\/4 - 241905*v**2\/4 - 206307*v\/4 + 1201335 = 0. Calculate v.\nAnswer: -283, -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 135*b**2 + 140*b**2 + 138*b**2 - 5 - 548*b**2 + 2*b - 98*b**3 + 133*b**2 as f*b**3 + i + t*b + c*b**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**2\/2 + 6. Let r(m) = -2*m. Give h(r(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 116.2 * -0.059.\nAnswer: -6.8558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122, -125, -130, -137, -146, -157, -170?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -3*s - 1, 8*s + 275 - 259 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -54, -60, -60, -48, -18, 36, 120, 240?\n\"Answer: j**3 - 3*j**2 - 4*j - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(132) - -2*sqrt(132)) - sqrt(132) - (sqrt(132) + -3*-1*sqrt(132)))\/(sqrt(972) + (sqrt(972)*2 - sqrt(972))*-1 - sqrt(972)).\nAnswer: 17*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + 2 - (-1 - -3). Suppose 15 = j*a - 3*a. Which is bigger: 4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 + 3*j**3 - 3*j - j + 5*j. Let n(s) = -5*s**3 - 5*s**2 - s. Let x(d) = 2*n(d) + 5*u(d). What is the second derivative of x(w) wrt w?\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 21*m**2. Let x(j) be the second derivative of -j**3\/3 - 7*j + 1. Determine x(y(u)).\nAnswer: -42*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 18*f**2 - 23*f + 106. What is the lowest common multiple of 5 and z(19)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 + 9*f + 13. Let s(t) = 3*t**2 - 9*t - 14. Let i(h) = -3*s(h) - 4*y(h). What is the smallest common multiple of 12 and i(-5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2408763*d**2 - d - 4114481 wrt d?\nAnswer: 4817526*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174221 is divided by 115?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6 and -38341990945.\nAnswer: -38341990951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 - -292?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*b**3 - 260*b**2 - 168*b.\nAnswer: -4*b*(b + 21)*(3*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 2*x - 4*x)*(0 + 1 - 11 + (-2 + 2 + 3)*(2 - 1 - 3))*(-1 + 1 + 2*x).\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/7 + 304*k**3\/7 + 42*k**2 - 1216*k\/7 - 1208\/7 = 0. What is k?\nAnswer: -151, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -208498.9747 - -208517. Round f to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*l + 506. Is -3 - ((-8)\/2 - l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-6))\/(341\/(-1023)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -5 in descending order.\nAnswer: -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 34*z + 33. Let q be g(-33). Let l(b) be the third derivative of -1\/30*b**5 + 0 + q*b + 1\/18*b**4 - b**2 + 0*b**3. Solve l(p) = 0 for p.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000100 + 100011100110?\nAnswer: 100110101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pipp when four letters picked without replacement from {e: 3, r: 2, v: 2, p: 3, u: 1, i: 1}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408*j - 410*j = -90. What is the remainder when 54 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 18637, -7, 16\/5, 4 in descending order.\nAnswer: 18637, 4, 16\/5, -1\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 2*g = -31, 25*g - 27*g - 6 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.117414 from 0.04.\nAnswer: -0.077414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 462 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39664, -158298, -356028, -632860, -988800, -1423854?\nAnswer: -1938028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.3799 + -0.0201. What is h rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 161 (b) 4 (c) 5\/178 (d) -1\/2 (e) -4 (f) -2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/554 and -103\/240.\nAnswer: 66480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 122*n**2 + 10*n + 10. Let m be y(-1). Let a = -117 + m. Let q(x) = -x - 3. Let c be q(-5). Solve -i + a = -c*k, -3*k + 3 - 9 = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 97 + 59?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*(sqrt(35) - (sqrt(35) + sqrt(105)\/sqrt(3) + sqrt(35)))*-1)\/(((sqrt(315)*1)\/sqrt(9))\/sqrt(7)*3).\nAnswer: -8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969453633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-5)*x**11\/x)**1)**(44\/5))**(-31) assuming x is positive.\nAnswer: x**(-1364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 22685.8 and 133318603.\nAnswer: 133341288.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 8*w. Let l be 3\/(3\/(-12) + 1). Let i(h) = -5 - l*h - h + 1. Let v(d) = -d - 1. Let n(a) = i(a) - 4*v(a). What is 6*n(c) - q(c)?\nAnswer: -c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, 16, 76, 158?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 12:33 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 777496133 to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -4856 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 354*x**2 + 17*x - 30. Does 20 divide c(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6819.4 - 6819. What is the third biggest value in 1\/3, 797, 1\/7, b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 15. Suppose 1055 = p + h*v - 847, -5726 = -3*p - 2*v. Suppose 0 = -5*k + 5*w + p + 973, 0 = 5*k - 4*w - 2881. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-14\/11)*(p**3*p)\/p*p assuming p is positive.\nAnswer: p**(30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4.1 times 0.5\nAnswer: -2.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*v - 26 = 18*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212203011312 + 1?\nAnswer: -212203011311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n. Let a = 53 + -49. Let z be (-1 + 2\/a)\/((-2)\/(-28)). Let k(i) = 2*i. Give z*k(u) + 2*x(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 15 = -0*z + 3*f, 4*z + 5 = f. Which is the nearest to 0.1? (a) -5 (b) z (c) 1\/6 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*r = 557, 7*c = 3*c + 5*r + 2228. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2204159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*t + z + 27 = -42*t, 17 = 3*t - z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10257 + 1799.683.\nAnswer: 12056.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 1)*-1*4. Let x be ((-114)\/28)\/(348\/(-406)) + (300\/16)\/15. Put n, -6, x in decreasing order.\nAnswer: x, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**3 + 5*u**2 - u - 4. Let t be d(3). Suppose 0 = 5*h + 5*l + 190, -l = 3*h - 6*l + 154. Is t greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t + 12 = 0. Factor -4*i - i**5 - i**4 + t*i + 2*i**3.\nAnswer: -i**3*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 465327 (base 8) in base 13?\nAnswer: 57155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 9:09 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 259305 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -n**3\/3 - 2*n**2 - 2*n - 3. Suppose 145 = 14*k + 215. What is q(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + -1)*(-15592)\/(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*r = 14 + 18, 4*r - 81 = -5*u. Let p = 112 - u. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -23. Let q be (0\/y)\/(-1 - 0). Is q greater than or equal to -1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -92\/5 at least -3.52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 695 = -3*t, 3*o - 872 = 3*t - 137. Let n = t + 539. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54564*c**2 + 111398*c.\nAnswer: 109128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10 - 3*j**2 - 9*j**2 + 3*j**2 + 5*j**2 wrt j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 838*l**3 + 3*l**2 + 30 wrt l?\nAnswer: 5028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-166129*y**3 + 166129*y**3 - 451*y**4).\nAnswer: -902*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 686791, 1373588, 2060385, 2747182?\n\"Answer: 686797*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 37*k - 6. Let z(q) = 2*q - 1. Let d(w) = n(w) - 4*z(w). Suppose 0*a - 3*a + 6 = 0. List the prime factors of d(a).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(2\/15)))\/y*y**0)**(3\/16) assuming y is positive.\nAnswer: y**(-17\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18184)\/(-104) - 6\/(-39). Let u = 177 - n. Suppose -16*l + 17*l = 0. Solve l = -2*d + u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1001010?\nAnswer: 1000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 3. Let z = -4 + 8. Let r be n(z). Calculate the greatest common factor of 63 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 7*r + 9. Let o(x) = 24*x**3 - r - 1 - x + 3. Suppose k - 9 = 3*s - 1, -2*s = -k + 7. Calculate o(s).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**2 + 6192*x + 43323. Give i(-7).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + w**2 + 3*w - 2. Let h be q(2). Suppose -5*i - u + 0*u + 119 = h, 3*i - 4*u = 53. Calculate the remainder when i is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -573.183 to the nearest integer.\nAnswer: -573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(-37))**3*((n**(-7\/3)*n)\/((n**(3\/5)\/n)\/n))\/(((n*n\/n**1*n)\/n)\/n*n*n*n)**(-1\/18) assuming n is positive.\nAnswer: n**(7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 200, 2, -0.048 in descending order.\nAnswer: 200, 2, -0.048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -5\/6, -1541.07, 4?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 16 = -m, -4*m + 13 = -2*o - 11. Let i(h) = h**2 - 2*h + 4. Let s be i(m). Let r be 0 + 3\/s*0. Solve -5*v + v - 16 = r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**3 + 4*b**2 + 4*b - 7. Suppose 7*n - 11 = 8*n. Let r = n - -7. List the prime factors of s(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 183311 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37.07 + 37. Let n = -1.57 - -1.9. Let u = k - n. Round u to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 14, v: 4}. Give prob of picking 2 v.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 9. Let s be i(-11). Suppose 5*l = 4*t + 15, -5*l + 15 = -84*t + 87*t. Solve 0 = l*p + 2*k - s, -p - p = -2*k + 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*x + 4*x - 30*x + 0*x + 81*x + x.\nAnswer: 37*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 2*g - 2*g)*(251*g**2 - 151*g**3 - 251*g**2).\nAnswer: -604*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 - -6. Let c = -6 + j. Let o = c + 0.6000004. What is o rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 10*i**2 + 9*i + 5. Let d be u(9). Suppose -g = -d*t - 5, 0 = -4*t + 2*t + 10. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20 + 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -10\nAnswer: 17\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/18 + 124\/9. Let o = -8 + y. Solve o = 2*u - 2*x, x + 1 = -4*u + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, w: 1, l: 1, u: 3}. What is prob of sequence umm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(152)*-3*-2 - sqrt(152))\/(sqrt(600)\/sqrt(3) - sqrt(8)))**2 + 2.\nAnswer: 507\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10182202 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**5\/90 - 848*u**4\/9 - 2876416*u**3\/9 - 2*u**2 - 366. Factor y(f).\nAnswer: -2*(f + 1696)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5048 and 12440?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 84956.11 days?\nAnswer: 7340207904000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -355126 - -2505?\nAnswer: -352621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26.5 - -26.5. Which is the smallest value? (a) o (b) 3 (c) -2\/17 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - 4. Let b = 351 + -346. Let q(f) = -487 + b*f - 4*f + 492. Calculate q(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3317\/66 + 382\/33. Let x = -703\/12 + u. Let o = 2825 - 28167\/10. Find the common denominator of x and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/11 in 1, 0.5, 8, 11, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1713779 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -15*t. Let u(v) = -25*v**2 + 5*v + 10. Let p(l) = 12*l**2 - 3*l - 6. Let d(o) = -5*p(o) - 3*u(o). What is d(w(i))?\nAnswer: 3375*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 246955 divided by -246955?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + -20 + 18 + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1151 or 9?\nAnswer: -1151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r + 13. Let g be s(4). Let y = -9 - g. Suppose 2*c + 3*c - 130 = 0. Solve c = 2*v - 7*v + 4*l, -y*v - 5*l + 16 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84.39 + 85. Let m = f - 0.5. What is the third biggest value in m, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 to the power of 1\/8, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, 2\/13, -3, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 11:19 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -1\/85877010?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = -3*k - m, 3*k + 90 = k - m. Let o = 12675 + -63144\/5. Let z = k + o. Sort -30, -2\/9, z.\nAnswer: -30, -2\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -5, 3, -1\/3, 484?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/(z\/(z**(-1)*z))*z)\/z))\/z)**(-6)\/(z**(-6)\/z*z\/(z\/z**(2\/11)*z)) assuming z is positive.\nAnswer: z**(86\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 2:50 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -3) + -7 + (8 - 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-88)\/448*-8)\/(5\/35). Solve g*z = -146 + 223 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 973*v - 1123*v - 654*v to the form z*v + q and give z.\nAnswer: -804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w + 5. Let b(j) = 28862*j. Calculate b(g(m)).\nAnswer: -115448*m + 144310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 9 = -4*d, -m = -5*d + 7 + 8. Let z(t) = -2*t**2 + 4*t + 12. Let q(g) = 3*g**2 - 3*g - 13. Let v(b) = m*z(b) + 4*q(b). Is 4 a factor of v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/2 - -1)*-1. Let t = 9 - q. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 4*p + 2. Let g be -3*(4\/6)\/2. Let w(s) = -3*s. Let y be w(g). Suppose -1 + 7 = -y*a. Calculate l(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 167670\/16560*(-32)\/3\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 226312?\nAnswer: 678936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -252315, -504650, -756997, -1009356, -1261727, -1514110, -1766505?\nAnswer: -2018912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**3 + 402*s**2 + 26508*s - 54600 = 0. What is s?\nAnswer: -50, 2, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 6*z + 1494 - 1516 = 0, -2*z + 2 = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 - 3*t + 1. Let m be a(3). Suppose k - 4*g - m = -g, k = 5*g + 18. What are the prime factors of ((-32)\/k)\/2 + -2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**4 + 5*p**3\/3 + 3*p**2 + 5*p - 5. Let i(j) = -5*j**3 - 6*j**2 - 7*j - 6. What is 6*f(k) + 5*i(k)?\nAnswer: -k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/320*18*26\/351?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12 and -552439.\nAnswer: -552451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. Suppose 0 = -2*t + 5*t + y*q - 6, 4*t - 6 = -5*q. Let x(n) = n**3 - 2*n**2 - 4*n - 2. List the prime factors of x(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 323*w**4 + 19*w**3 + 323. Let x(m) = 36*m**4 + 2*m**3 + 36. Let z(y) = -2*o(y) + 19*x(y). Differentiate z(d) with respect to d.\nAnswer: 152*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0\/(l\/(l**1\/l*l)))\/(l*l**0)**(24\/5))\/((l*l**(-1\/4)*l)**28)**(-2\/21) assuming l is positive.\nAnswer: l**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 35416426 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1960791 or -1961158?\nAnswer: -1961158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((-3)\/(-13))*(-18)\/(-18). Calculate the highest common factor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v = -v + 846. Let b = 51 - v. Solve b = x - 3*o, 8*o + 6 = x + 3*o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 96*x - 1786. Calculate s(-71).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 637686 and 4788.\nAnswer: 24232068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 46, 131, 304, 595, 1034, 1651?\nAnswer: 2476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7315.08 less than 0.2?\nAnswer: -7314.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 9 - 12. Suppose -5*o + 3*s - 2*s = -343, -x*o - s + 201 = 0. What is the common denominator of (o\/92 + (-3)\/3)\/1 and -42?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -13894498?\nAnswer: -3\/13894498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + 2*q + 209*q**2 + q**3 + 113*q**2 - 13 + 5 + 31 to the form j*q**2 + m + x*q**3 + w*q and give j.\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 5*q + 14. Suppose -5*r - 5*t - 5 = 0, -2*r + t - 24 = -7. What is the tens digit of f(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in sixty-seven quarters of a millisecond?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1198.\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((6*(sqrt(68) + sqrt(68) + sqrt(68)*1))\/(-1*sqrt(4)*-5 - sqrt(4)) + (sqrt(153) - (sqrt(153) + sqrt(153)*2))\/sqrt(9)*5*-1).\nAnswer: -29*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2905429469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, s: 4}. Give prob of picking 4 s.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42787c (base 13) in base 5?\nAnswer: 344343003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x - x + 5*x + (3 - 5 + 0)*(x - 3*x + 3*x) + (-x + 0*x + 2*x)*(1 + 1 - 4) + 2*x + x - 5*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/12683 (b) -2 (c) -4.18 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-seven fifths of a meter?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -307054449 + 307054198.000226. Let z = 206.1 - -44.9. Let h = t + z. What is h rounded to 5 decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19\/2 + -131\/14. Let p = 62.9 + -63. Which is the nearest to -1\/3? (a) 0.5 (b) p (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**6\/120 + 7*y**5\/15 - 35*y**4\/24 - 29*y**3 + 352*y**2 + 5. Factor n(p).\nAnswer: (p - 3)*(p + 2)*(p + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n. Let k(i) = 629*i**2 + 119*i + 119. Let s(f) = 21*f**2 + 4*f + 4. Let d(u) = -4*k(u) + 119*s(u). What is d(l(a))?\nAnswer: -272*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001243 rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 728 = 9*f. Let x be 9*(f\/12 + 5). Solve s + 5 = n + n, 0 = 5*n - x*s - 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 19*f**4\/24 - 8*f**3 - 171*f**2. Let r be q(8). What is the greatest common divisor of r and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**4\/4 + h**3\/6 - 6*h**2. Let g = 5 + -4. Determine v(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -888, 3, -2, 5, -8, -10 in increasing order.\nAnswer: -888, -10, -8, -5, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3560 = 38*c - 3522 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 0*v**3 + 0*v**4 + 0*v**2 - 1\/10*v**5 - 4*v + 0. Suppose s(u) = 0. Calculate u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2695\/21*(-3)\/(-1). Suppose -879 = -5*k + 4*z, 0 = 3*k + 3*z - i - 137. Calculate the highest common divisor of 70 and k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5545.9 + 32680.877\nAnswer: 27134.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, y: 1, o: 2, p: 3, d: 8, r: 1}. What is prob of picking 1 o, 1 p, and 1 e?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2. Let v(m) be the first derivative of -67*m**3\/3 - 2*m - 71. Determine x(v(d)).\nAnswer: -4489*d**4 - 268*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -931 and -938 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -272\/3*j**3 - 1\/3*j**5 - 21\/2*j**4 + 48*j**2 - 1152 + 2304*j = 0. What is j?\nAnswer: -12, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-10))\/(8 - 12357\/1545). Suppose -67 = -21*b + f. Calculate the remainder when b is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 + 42*p + 594.\nAnswer: (p + 18)*(p + 66)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 844 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (95\/(-38))\/((-2)\/4 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3*((-1)\/3 - (-4)\/36) and 91\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j**3 + 7 + 2*j**3 - 5*j**3 + 7*j**3 as h + o*j + l*j**2 + u*j**3 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26*c + 2334 - 4*c**3 + 1071*c**4 + 4*c**3 - 1069*c**4 - 41*c**2 + 34*c wrt c?\nAnswer: 8*c**3 - 82*c + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1206291 is divided by 82?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29043 by -63.\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -9*r - 9. Let w(f) = -19*f - 19. Let u(z) = 15*t(z) - 6*w(z). Let i be u(9). Round i to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*z - z - 410 = -117*z. Solve 0 = z*o - 15 + 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 3, s: 1, x: 6, n: 2, q: 4}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51075.73m to nanometers.\nAnswer: 51075730000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 5:07 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)*-3 + (sqrt(3) - (sqrt(3) + 1 + sqrt(3) + 0)) + -4.\nAnswer: -25*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5519 is divided by 158?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18536291, 18536288, 18536285, 18536282?\nAnswer: 18536279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*n + 7 = 0, 5*n - n + 1 = -3*x. Let o(v) = 2*v**2 - 7*v + 2. What is the tens digit of o(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-1 - -1) + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1822 is divided by 228.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 46, 53, 46, 19, -34, -119?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.247801ng in kilograms?\nAnswer: 0.000000000006247801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70830 - -141661\/2. Determine v so that 0 + x*v**3 - 3\/4*v - 5\/4*v**2 = 0.\nAnswer: -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-5\/12)\/(m\/(m*m**(-33)\/m*m))*(m**(2\/3)*m)**38 assuming m is positive.\nAnswer: m**(359\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*z - 4*w, 3*w = -5*z + 6*w + 18. Let r be (z\/(-4))\/(75\/(-5320)). Let c = r + -53. Which is smaller: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31691774 less than 20.7?\nAnswer: 31691794.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 9:26 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/((-9)\/(-3)) + 11\/(-6). What is the biggest value in 0.14, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54802899723 - -0.1.\nAnswer: -54802899722.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 10127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -191\/4 + 1055\/22. Calculate the common denominator of 37\/7 and o.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 1) + (3 - 2). Suppose 2 - t = b. Suppose b = -v + 21. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1*1)\/(-1) + 1. Let x = 1.8 - 0.5. Let o = 1.7 + x. Which is the third smallest value? (a) r (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 >= 4691\/1536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**5\/120 + h**4\/24 + 3*h**3\/2 + 10*h. Let f(q) be the second derivative of b(q). Let c(n) = -n - 1. Give c(m) - f(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/20)\/((-38)\/456)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 3:03 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -597.641 - -47.981. Round a to zero decimal places.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 1 = -5. Which is smaller: j or 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + r - 10 + 3*r)*(r - 2*r - r + 5).\nAnswer: -8*r**2 + 18*r + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-2)*(-4)\/(-6). Let k(s) = -2*s**2 - 10*s + 13. Let p(o) = o**2 + 5*o - 7. Let d(g) = -4*k(g) - 7*p(g). Let v be d(1). Sort l, 0, v.\nAnswer: l, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45492 divided by 102\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2528874 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: Let t = 4625111\/824 + -5613. Let o = -929\/1648 - t. Calculate the common denominator of o and 47\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*z - 40 = 0. Solve -6*o - z = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, o: 5, z: 1}. What is prob of picking 3 q?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**3\/3 + 13*q**2 + 6*q. Let k(h) = -h + 1. Let t(a) = -3*k(a) + z(a). Let v be t(-16). Solve 0 = 2*f + 3 + v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8252081 and 10088?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2594 = 7*h - 4*h, 4*u = -h + 846. Suppose -5*f = -3*g + 2192, 2*g + 3*f - h = 574. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 - 3*y**2 + y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38432.75 + -38433.0741049. Let x = -0.3245 - v. Round x to 5 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1642094 is divided by 15789.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -359*i + 17159. Determine b(48).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3816 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 6. Suppose b*s = 4 - 0. Suppose t - 23 = s. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633610 is divided by 798.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.074 and -443078.\nAnswer: 32787.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 g, and 1 p when three letters picked without replacement from gpceprt.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.9 + 0.1. Let b = i + 2.6. Let v = 6 - b. Do v and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k**3 - 25. Let v(s) = -7*s**3 - s**2 + s + 48. Determine 5*u(d) + 2*v(d).\nAnswer: 6*d**3 - 2*d**2 + 2*d - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -59\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -148899 less than -27?\nAnswer: 148872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5216*d = 5360*d - 576 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 1700?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.31 - 14.31. Let d = 14.5 + s. Suppose -2*y - 6 = -2. Which is the nearest to y? (a) d (b) 5\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -933 minus 4361161?\nAnswer: -4362094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 3:42 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5234512367 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**3\/6 - 3347*x**2\/3 + 1075765*x\/6 + 541229\/3 = 0. What is x?\nAnswer: -6851, -1, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -34. Let o = -12 - g. Let v = 8.51 + -8.01. Put v, -4, 13, o in descending order.\nAnswer: 13, o, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1532504846.\nAnswer: 2, 26921, 28463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.5 + 0.5. Let q = a + -4.6. Let m = -39.3 - -39.6. What is the nearest to 1 in -0.07, m, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*x**5 + 3709*x**4 - x**3 + 2715*x**2 + 415*x - 2 wrt x.\nAnswer: -180*x**2 + 89016*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 232 - 231. Which is the nearest to l? (a) 0.5 (b) 9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 18. Let d(n) be the first derivative of -1\/18*n**4 + 1 - 4\/45*n**5 + 0*n + a*n**2 + 2\/27*n**3. Factor d(c).\nAnswer: -2*c**2*(c + 1)*(2*c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38829, -38784, -38701, -38562, -38349, -38044, -37629, -37086?\nAnswer: -36397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 6, 0, 0.11, -0.44, -3\/301, 0.4?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21525162*d**5 + d**4 - 1370864*d + 22 wrt d.\nAnswer: -430503240*d**3 + 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/3*3\/((-18)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-120)\/5)*-1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -3) + 0 - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 - 87. Solve -2 + 12 = v*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*15\/9*4\/20\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 + 2796386\nAnswer: 2796386.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - q - 2.\nAnswer: (q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -19447 minus -795423?\nAnswer: 775976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from hthhlhmhhhhhhhlmlz?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126328267 to the nearest integer?\nAnswer: 11240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**3. Give q(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 o when two letters picked without replacement from osooooooss?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -416, 4, -266?\nAnswer: -416","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 7:53 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g + 4*g + (3*g - 5*g + 3*g)*(5 + 0 - 3))*(2 + 5 + 0)*(-1 + 1 - 1) + (2 + 2 - 1)*(2 - 2 - 2*g).\nAnswer: -48*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 362 - 350. Suppose m*j - 610 = 686. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 - 19. Suppose c = -3 + y. Calculate the remainder when 24 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*h**5 + 31*h**3*o + h**3 + 4*h**2*o - 45211*o wrt h.\nAnswer: -900*h**2 + 186*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.67808 + 250\nAnswer: 249.32192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 483, 2\/533, -2\/7?\nAnswer: 2\/533","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 5*t + 4 = 89, 7049 = -279*r - 320*r + 12*r + t for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3637 is divided by 140.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*z**2 + 25*z + 6.\nAnswer: (z + 1)*(19*z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 2 + 3)*(3 - 4 + 2) + 2 - 1 + 0)*(-1279*n + 1279*n - 4*n**2 + 3)*(6*n - 2*n - 2*n) as g*n + w*n**3 + i*n**2 + k and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*r - 4*r - 5*d, 5*r - 2*d - 9 = 0. Suppose 5*t - r - 4 = 5*p, -4*p = 4. Suppose -2*q + q = t. Solve 2 = -u - q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f + 7. Let u(w) = w - 1. Let p be ((-6)\/(-9))\/(2\/(-12)). Give p*u(g) - h(g).\nAnswer: -2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6130080?\nAnswer: 2, 3, 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/28 and -1\/226?\nAnswer: 3164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3544133.\nAnswer: 3544133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 147618687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 2)*145 - (6 - 5). Let t = w + 165. What is the remainder when t is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*19.11303\nAnswer: -57.33909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*q**2 + 58 + 0*q**2 - 51 + 3*q**2 as d + o*q + t*q**2 and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 12*f**3 - 84*f**2 - 96*f. Let i(n) = 3*n**3 - 21*n**2 - 24*n. Let h = 108 + -99. Let t(z) = h*i(z) - 2*v(z). Factor t(l).\nAnswer: 3*l*(l - 8)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 63?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013 - -50?\nAnswer: 49.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004553265094 rounded to seven decimal places?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 17*d + 188. What is the remainder when 287 is divided by i(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -12*c**3 - 4*c**2 - 46*c - 136. Let v be r(-4). Which is smaller: v or 748?\nAnswer: 748","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21865 divided by 72?\nAnswer: -21865\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*l + 4*l + 31*l)*(-6*l + 2*l + 2*l) + 6*l**2 + 7*l**2 + 0*l**2 to g + n*l**2 + a*l and give n.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 less than -4618430057?\nAnswer: -4618430058.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493657*m = -493451*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1052519 is divided by 55389?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 43*f**5\/60 - 43*f**3\/6 + 2*f**2 + 2*f. Differentiate g(j) with respect to j.\nAnswer: 86*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10242 - 9*n**3 + 10440 - 20683.\nAnswer: -9*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/(-8))\/((-2)\/(-4)). Sort 3, -1, j in descending order.\nAnswer: j, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*i + 32, 4*i = 2*v + 2*i - 30. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007468 to five decimal places.\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 33*n - 3. Let j(l) = 2*l**2 - 33*l - 2. Calculate 3*i(y) - 4*j(y).\nAnswer: -2*y**2 + 33*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-28)\/x**(-28))\/(x**(-2\/13))**(-49) assuming x is positive.\nAnswer: x**(-98\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23.096 and -1?\nAnswer: 23.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8150 + 13572. Suppose 11*s - o = 6821. Does 24 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2119*z + 1059*z + 1055*z - 82 to the form v*z + c and give c.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*w + 4*d + 116, 0 = -3*w + 4*d + 86. Suppose 6 = -2*u + w. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(144))\/sqrt(8) - (sqrt(54)\/(sqrt(9)\/sqrt(3)) - sqrt(18)))\/((sqrt(144) - sqrt(144)*2)*-1).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 105150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -8480.\nAnswer: -3392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2. Let a(c) be the third derivative of 5783*c**5\/60 + 32*c**2 + 2*c + 17. Give j(a(k)).\nAnswer: 66886178*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 10. Let v(p) = p**2 - 7*p - 23. Let l be v(m). Suppose h + 30 = l*h. Sort -4, h, 2 in decreasing order.\nAnswer: h, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 - 13*t - 86*t - 136*t - 3 + 2 to the form a*t + m*t**2 + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - 5) + (-3 - -26 - 14) + -6\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 28*d**2 - 130*d - 1392. Let t be w(-84). What is t rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54104706 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 1.2. Let u = 5.8 + t. Let y = u - 6. Which is the nearest to y? (a) -0.1 (b) -3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*t - 946 = 0, -1555 = -3*x - 2*x + 4*t. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 20745916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.8 and 66.\nAnswer: -448.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/8 - -19\/8. What is the common denominator of l and -49\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -6*d - 2*w + 3176, 4*w = d - 767. List the prime factors of d.\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78724299 to the power of 1\/3, to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -40, -140, -328, -634, -1088, -1720?\n\"Answer: -5*y**3 - 14*y**2 - 23*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**5\/20 + 11*q**4\/12 + 3*q**3\/2 - q**2 - 47*q - 1. Give j(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**2*q**2 + 7971*n**2 + 98*n*q**2 - 4*q**2 with respect to q.\nAnswer: 2*n**2*q + 196*n*q - 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - z + 64 = 0, -i + 5*z = -4*i + 190. What is the greatest common divisor of i and 90?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 63.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3*sqrt(612)*2 - ((sqrt(612) + -2 + sqrt(612))*3 - (sqrt(612) + 2*sqrt(612))*-1))**2.\nAnswer: -900*sqrt(17) + 137725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 0 + 86 + -18 + -29 + 17?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 259\/(-2849)*(-2 - 31). Solve 0 = q*y - 75 + 93 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -1082\/31289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1134*s - 2349*s - 211062 = -64776 for s.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 5, 7 in descending order.\nAnswer: 7, 5, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -94?\nAnswer: 5\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((0\/(-1))\/1)\/1. Let f(h) = 17 - 9*h**2 + 10*h**2 - 4*h + h**3 + 25. Let x be f(a). Calculate the highest common factor of x and 336.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 2*w + 2. Suppose 194*h - 189*h = 25. Let u be ((-4)\/10)\/(2\/10). Let p(j) = -2*j**3 - 5*j + 5. Give h*g(a) + u*p(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 divided by 15?\nAnswer: 526\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -642*o + 2741 = 1457 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 3*j**2\/2 - 2*j - 6. Let i(r) = r. What is -f(n) + 2*i(n)?\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 2117*c**3 + 0.\nAnswer: 2117*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.42181 - -35101.95.\nAnswer: 35102.37181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 - -111. What is the highest common factor of 328 and y?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7*t. Let z(y) = 65*y**2. Determine z(g(n)).\nAnswer: 3185*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = d + 6, -58*k + 59*k - 5*d = -8. Solve -3*x + 12 = k*o, -3*x + 2*x + 14 = 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400670448 to the power of 1\/2, to the nearest integer?\nAnswer: 20017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyzz when four letters picked without replacement from {z: 3, y: 1, m: 4}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b - 2. Suppose -211 = -2*i - h + 341, -h - 2 = 0. Let l(n) = -3 + 280*n - i*n + 4. Determine -5*l(v) - 2*o(v).\nAnswer: -3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h + h - 4*h + 12. Suppose 0 = -5*c + 4*r + 49, 0 = 2*c - 1016*r + 1021*r + 20. Give n(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -171 + 125 - (2 + -138).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 66.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 4*d. Suppose -d*g + w - 4*w = -1, 4*w + 37 = 5*g. What is the third smallest value in 0.3, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 16 = -3*p. Let k be (3 - p) + -3 - 11. Let i = 2 - k. Is i equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 + 1.8. Which is the nearest to h? (a) 1\/5 (b) 0.4 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x**2. Let l(m) = m - 2. Let d be l(5). Let k(a) = 0*a + a - 5*a + d*a. Give z(k(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2137224, -4274440, -6411656, -8548872, -10686088, -12823304?\nAnswer: -14960520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 11*h - 12*h. Differentiate -9*d - 4 + h*d**2 + 6*d + 3*d wrt d.\nAnswer: 16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 13*m**2 + m. Let d be q(-1). Suppose -d = -2*a - a, 96 = 5*p - a. Suppose -t - 3*l + 15 = 0, 4*t + 2*l - p = -0*l. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.04 - 5. Let a = v + -6.04. Let j = -5.99988 - a. What is j rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.131 rounded to 2 dps?\nAnswer: 21.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 7:59 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81 + -58. Solve 7 = 4*d + k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 17.\nAnswer: -11\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5\/3 + 10400*z**4 - 162550858*z**3\/3 + 94815373020*z**2 - 2797529473800*z + 2702768274000 = 0 for z.\nAnswer: 1, 29, 5190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 2*r**2 + 3*r - 3. Let l be c(2). Suppose 10 = -u - u. Put u, l, 4 in increasing order.\nAnswer: u, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(123\/135 - (-310)\/(-279)). Solve -29 = 4*n - z for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 + -4032?\nAnswer: -4011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/13 + 24*t\/13 + 64\/13 = 0. What is t?\nAnswer: -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 + d2?\nAnswer: bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.2 + -1. Let t = 20.4 + -20. Which is the second biggest value? (a) -0.02 (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-2) - -18*2. Suppose 38 = 5*z - 5*a - 7, 5*z - 3*a = f. Let l = 53887 + -53880. Calculate the lowest common multiple of z and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 83, 12076 in descending order.\nAnswer: 12076, 83, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12204)\/(-30))\/2 - 2\/5. Let r = 107 - n. What are the prime factors of -1 + 5\/((-10)\/r)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121966 is divided by 611?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2666*r - 28 = -3*u - 2662*r, 4*r = -5*u + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooyooooooyyyyy. What is prob of sequence yyy?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2401131 (base 5) to base 4.\nAnswer: -22232030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/2)\/((-4)\/(-8)). Let z(d) = f*d - 3*d**2 - 13*d**2 + 2*d. Let h(a) be the third derivative of a**5\/20 - a**4\/12 + a**2. Determine 11*h(b) + 2*z(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-2 - 2 - -1 - (6 - 9))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 6*l = 10. Let p be 5 + (l - 4 - 1). Suppose p*i = -i + 288. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1982 (b) -2\/13 (c) -2\/5 (d) 3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0*c + 9 - c)*(5*c + 11*c - c).\nAnswer: -15*c**2 + 135*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 1:17 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7 + 30*d**4 + 1364*d**2 + 38*d**4 - 280*d**2 - 83*d**4 - 8 - 7*d**3 wrt d?\nAnswer: -360*d - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 11:11 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65015, -64874, -64731, -64586, -64439?\nAnswer: -64290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -7. Let j = -1.1 + 4.1. Let x = c - j. Put 5, -1, x in descending order.\nAnswer: 5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210110110202 + -1100?\nAnswer: -210110112002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kboblklll. Give prob of sequence ll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = k - 14, -40 = -2*k - l - 0*l. Calculate the lowest common multiple of (-4)\/(-1)*-21*-1 and k.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 136 + -19467c?\nAnswer: -194546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*o = -114*o - 65 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*z = -o - 53, -2*o + 4*z = -32. Suppose -6 = 15*k - o*k. Let i = -3 - k. Solve -5*q = -i*l - 0*l + 17, -q = 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*h**2 + h**2 + 0*h**2)*(-44 + 382*h**2 + 44).\nAnswer: 3820*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116648 is divided by 19382?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 827? (a) 4 (b) -1 (c) -550\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + 159. Calculate the highest common factor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26401 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 477509830?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.44 + -0.08?\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*m = -r - 17, -9 = 4*r - 5*m. Let o be -100*((-228)\/44 - r\/(-22)). What is o rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6890813\/132 + -52204. What is the common denominator of t and -64\/33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**4 + 106*b**3 - 94*b - 1 wrt b?\nAnswer: -36*b**2 + 636*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -74*q**2 - 13*q + 81. Let m(w) = -36*w**2 - 6*w + 40. Let g(j) = 6*h(j) - 13*m(j). Differentiate g(f) wrt f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20 - (-5 + 2 - -2). Let o = -18 + y. Suppose -z - z - o*g = -18, -14 = -2*z - g. Is z <= 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4624.642 to the nearest one hundred.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-68)\/60 + 42\/315. Let x(h) be the first derivative of 2 - 10\/3*h**3 + o*h**2 + 7*h. Differentiate x(w) wrt w.\nAnswer: -20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1130*m = 194*m + 21885 - 4673 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 13*v + 30 = 8*v, 0 = 3*i + 6*v + 30. Which is the smallest value? (a) -2\/9 (b) -5 (c) i (d) -1\/4 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -819.\nAnswer: 81.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 312.98 - 310. Round u to one dp.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18811 + 17673.7. Let v = 994 + x. Round v to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.39 - 1.4. What is the closest to 1\/3 in 1, -0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 + 74457*i**2 - 2*i**3 + 74449*i**2 - 148906*i**2 - 103*i.\nAnswer: -3*i**3 - 103*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 7:39 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2)*i**(2\/13)*i*((i*i**(-2)\/i)\/i*i*i)\/i**(2\/15) assuming i is positive.\nAnswer: i**(-386\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 9:53 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20b07 + -430?\nAnswer: -21137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*b + 5124 = -456*b + 208*b for b.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 13956489.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1297 divided by 187\nAnswer: -1297\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -453.81*-26.\nAnswer: 11799.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 27 = 2*t. Suppose -6*a - t = -5*a. Let d = a - -17. Solve -w - 3*f = d + 7, 0 = -5*w - f - 19 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13867400 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 2. Let l = -1 + 5. Let w be m(l). Find the third derivative of 26*n**3 - 26*n**3 - n**5 + 2*n**w wrt n.\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 8. Let g be b(-12). Suppose 0 = -5*v + g*i, i - 11 - 10 = -4*v. Calculate the smallest common multiple of v and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 880\/139 - 5975\/834. Let j = -0.32 + 0.4. Let l = 0.22 + j. Which is the closest to -0.05? (a) -5 (b) h (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2644207 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**4 - 4539*y**3 - 4489*y**2 + 222411*y + 222362 = 0.\nAnswer: -4538, -7, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 3. Suppose -3*j - 19 = -g, -x*g + 3 = j - 4. Suppose -g*l = l - 60. What is the remainder when 22 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*n + 24. Let c be 0 + 0 + 2 + -2. Sort -3, c, n in ascending order.\nAnswer: n, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -11*o**3 - 3*o**2 - 18*o - 8. What is t(-3)?\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53740*c*m - 45*c*s + 113934*c + 13*m*s - m with respect to m.\nAnswer: -53740*c + 13*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -12 - 19\/5*l**5 + 0*l**2 + 0*l**4 - 28\/3*l**3 + 0*l. What is the third derivative of t(i) wrt i?\nAnswer: -456*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -12*k**4 + 3*k**2 - 5*k + 117. Let b(f) = -f**4 - 2*f**2 + f + 1. Let w(c) = -5*b(c) - d(c). What is the derivative of w(a) wrt a?\nAnswer: 68*a**3 + 14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/13)*u)\/u*u*u**0)\/(u**(2\/5)*u**(1\/8))*(u\/(u\/u**1))**(11\/5)*(u\/((u\/u**(2\/7))\/u))\/(u*(u*u*(u**(2\/17)*u)\/u)\/u) assuming u is positive.\nAnswer: u**(166409\/61880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2926 and -23\/8.\nAnswer: 11704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -15. Let h = 202\/155 + -28\/31. Factor -4\/5*t**2 - h*t**l + 0 + 2\/5*t**4 + 0*t.\nAnswer: 2*t**2*(t - 2)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649934300.\nAnswer: 2, 5, 109, 59627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 493136835 and -0.4.\nAnswer: -197254734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 6*q + 8*q + q.\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284256 less than or equal to 1284743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2263\/(-657))\/((-1)\/9*1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1495 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2230626709?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.08231 + -0.00231. What is h rounded to one dp?\nAnswer: 22.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-237)\/158)\/((-1)\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from dddddddddttdd?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from {w: 6, u: 2}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 28*y**2 - 19 + 5.\nAnswer: 28*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -4\/7, -0.4, -346?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -402.898 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011154414 rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -2 - 8 - 12 - -20?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*sqrt(104) + sqrt(104)) + sqrt(104) + -1*(sqrt(104) - -1*sqrt(104)))\/(sqrt(8) - ((sqrt(48)*-1)\/sqrt(6) + sqrt(8)) - 2*sqrt(392)).\nAnswer: -4*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 593? (a) -0.3 (b) -7\/4 (c) -0.092 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.025 - -0.257. Let u = m + 4.718. What is the smallest value in -6, 14, u, -0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 3:35 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 12*p**2 + 15*p + 14. Let f be y(-11). Let i be ((-1580)\/f)\/(4\/6). Suppose 1173 = 5*z - 3*n, 541 = 2*z - 3*n + i. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -220*j - 6*j - 2*j**2 + 226*j + 10 + 3*j**3 in the form i*j**2 + c*j + y + u*j**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u**3 + 7*u**2 + 5. Let t(h) = 7*h**3 - 6*h**2 - 6. Suppose 60 = 5*p + 70. Let k(i) = p*a(i) - 3*t(i). Find the third derivative of k(s) wrt s.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*j + 25 = -63*j, i = 4*j - 627. Let g = -643 - i. Solve y - 23 = o + g*o, -o - 15 = 5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*f**3*q + 22*f**2*q + 4414*f*q wrt f?\nAnswer: -42*f*q + 44*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3045)\/(-2)*780\/25. Is w\/98 - 3\/(42\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -q, -4*q - q + 18 = b. Calculate the remainder when 76 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19436*u**2 - 511*u + 6?\nAnswer: -38872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1679 - 1680. Let g(v) = v**3 - 4*v**2 + 4*v. Let t be g(3). Suppose -t*f = -f + 8. Which is the fourth biggest value? (a) f (b) y (c) -2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3423.93918 - -3424. What is q rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o**5 + 46*o**4 + 44*o**3 - 62*o**2 - 52*o + 16 = 0. What is o?\nAnswer: -4, -2, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.2032 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 368162 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 720\/(-35) + (-6)\/14. What is the tens digit of 1 + 0 + (4 - a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3751 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -170762.923?\nAnswer: 853814.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 158 = -4*h, 4*g = -2*h - g + 84. Suppose -5*w + 23 + h = 0. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 5:51 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*p**2 + 2057 + 385\/2*p - 3\/2*p**3.\nAnswer: -(p + 11)**2*(3*p - 34)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*sqrt(48)\/sqrt(2))\/(sqrt(8) - (sqrt(648)*4 + sqrt(8) + sqrt(8))).\nAnswer: 6*sqrt(3)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -9, -5, 1004, 37?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1273*q + 221*q - 281*q + 1 - 1 to the form t*q + a and give t.\nAnswer: 1213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o + 2. Let k be c(7). Suppose 5*m = 109 + k. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 0.065 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0 - -10) + 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iba when three letters picked without replacement from iaabibibiaabbaabba?\nAnswer: 49\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2 - a**3 - 11 + a**2 + 2 + 3. Let q(w) = w**3 - w**2 + 3. What is 5*q(x) + 4*u(x)?\nAnswer: x**3 - x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c - 3*c - c + (-4 - c + 4)*(2 - 2 + 2) + 21*c - 27*c + 132*c.\nAnswer: 125*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28217 - 31980.8. What is b rounded to the nearest ten?\nAnswer: -3760","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -248*r**2. Let g(x) = -2*x + 23. Calculate g(w(m)).\nAnswer: 496*m**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 759\/5 + -3281\/20. Let o = -126\/43 - 3371\/860. Let x = o - -21\/4. Find the common denominator of y and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 13. Let p be c(7). Suppose 589*a = 585*a + 20. Suppose -a*w + 99 = 2*i, 35*i - 31*i + 68 = 4*w. Solve 2*t = 5*h + w, -t = t + p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3093.\nAnswer: 3, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -742416979*d**4 + d**2 - 93274288*d?\nAnswer: -17818007496*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-350))\/(3\/(120\/(-4)))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22761139 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 42c + 73?\nAnswer: 49f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -340*w. Let r(b) = 2*b**2 - 36*b + 12. Let t(h) = -h**2 + 15*h - 5. Let d(x) = 5*r(x) + 12*t(x). What is c(d(j))?\nAnswer: 680*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11642 - -7430. Let o = 19070.00004 - m. Let b = -2 - o. What is b rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 108*m**2 + 2*m. Let r(a) = -108*a**2 - 2*a + 1. Calculate 3*g(t) + 4*r(t).\nAnswer: -108*t**2 - 2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 - 131*u**3 + 40*u**2 - 68*u**2 + 27*u**2 + 132*u**3 - 11*u - u as z + o*u + v*u**3 + m*u**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 15. Is o less than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 27*v**4\/8 + 111*v**3\/8 - 93*v**2 + 195*v\/2 + 12 = 0.\nAnswer: -8, -1\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2828 - -5644. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 57. Let d be a(-19). Let t be (-3)\/(-2) - (-57)\/d. Solve -t*k = v - 4, 3*k = -3*v - 5 + 17 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 475930, 475956, 475990, 476032, 476082?\nAnswer: 476140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2406199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-16)*-25*-4 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4960 is divided by 4878?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4298 - 38*z - 6*z + 4351 wrt z?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 127, 193, 261, 331?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -624*j + 302*j + 400 = -302*j for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*s + 1 - 1)*(0*s**2 + 2*s**2 + 0*s**2)*(4990 + 4987 + 7*s - 10011) to the form o*s**4 + q*s**3 + l + d*s**2 + f*s and give q.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + k. Suppose k*j - 60 = -5*j. Suppose 4*r - 48 = -j. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52*k**2 - 7*k**2 - 14*k - 23*k**2 - 2*k**4 wrt k.\nAnswer: -24*k**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (484\/(-110)*(-5)\/(-4))\/(150\/60)\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -21111314 (base 5) to base 7\nAnswer: -1331431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 20*q**3 + 24*q**3 + 2*q**2 - 43*q**3 + 2*q**4 - q in the form b*q**3 + x + m*q**4 + d*q + k*q**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + f - 250. Suppose -p = p - f. Calculate the highest common divisor of p and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77 + 305\/4. Let a = 21.82 + -22. Let y = a + -0.32. What is the fourth biggest value in 2\/11, 0.2, i, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + 2. Suppose -3*m + 4 = t. Let x(f) = -f**3 - 5*f**2 - 2*f - 3. Determine x(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14258*o = -14273*o - 120 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - 0 - (-10)\/(70\/3549) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.64 - -0.84. What is the biggest value in m, -0.5, 1\/7, -3\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2*3)\/3 - -8. Let d(g) = -6*g - 1 - 5 + j. Let m(x) = 1 - 1 + x. What is m(d(v))?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 48*n + 2. Let g(m) = 146*m + 6. Calculate 5*g(x) - 16*t(x).\nAnswer: -38*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -56074*f - 504335. Give t(-9).\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/77 and -64\/127237985.\nAnswer: 1399617835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 159?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 - 2*s. Let f be d(2). Suppose 0*o + 32 = -8*o. Let q be ((-8)\/(-6))\/(3\/((-18)\/o)). Solve -2*l + q*n - f = 0, 4*n - 1 = -4*l + 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 75*k**3 + 93600*k**2 + 5*k + 6235. Calculate h(-1248).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15221\/36 - 1695\/4. What is the common denominator of r and 19\/58?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-4 + 3 + 3) - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2309 + 3892. List the prime factors of v.\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 5*s**2 + 4*s + 3. Let j be b(-6). Let m = -28 + 43. Calculate the greatest common divisor of j and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111 (base 2) to base 11.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 1)\/(3 - 4). Suppose z = -4*m - 0*m. Sort 3, 2, m in increasing order.\nAnswer: m, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 1250*o + 1476*o + 2298*o + 179*o - 2565*o. Let w(v) = -v. Calculate w(y(t)).\nAnswer: -2638*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k = 0. Suppose k = -2*n + n + 50. Suppose 35 = 5*z - n. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191.6482 - 17003825.\nAnswer: -17003633.3518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165276 is divided by 213?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3504.381743153396 + -143190699.381749793396. Let v = -143187356 - u. Let j = -161 - v. Round j to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 4*u + 21 = 0, -5*t - 2*u = -0*t + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -45127058 and 1.\nAnswer: -45127058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.468033 - 0.0393267\nAnswer: -0.5073597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 13 - 4)*(3*o**3 - 4*o**3 - 3*o**3) - 1056 - 10*o**3 + 1054 + o**2 - 38*o**3 as r + z*o**3 + j*o**2 + w*o and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/5)*b**(-6)\/b)\/((b\/(b*b**0*b))\/b)**(-2\/39) assuming b is positive.\nAnswer: b**(-1112\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 15. Let x = 19 + -19. Let r be d(x). Suppose r*a + 6 = 13*a. Put 2\/9, a, 1\/5 in descending order.\nAnswer: 2\/9, 1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 - 43 = -74*j - 21 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 901416.1nm in micrometers?\nAnswer: 901.4161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1215*i + 5*f + 20 = 1210*i, 0 = -5*i - 2*f - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**4\/4 + 31*x**3\/3 - 15*x**2\/2 + 44*x. Let i be j(20). Solve -6*v - i = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -2. Suppose 8*y - 3 = f*y. Solve 15 = y*t + 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9102383?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -142?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-15)*(-863720)\/(-35334)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60280*x - 64159*x + 446085 = 0 for x.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -209, -164, -129, -110, -113?\n\"Answer: -a**3 + a**2 + 49*a - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/21 - (-7 + 546\/(-147)). Let p = 159 + -75. Suppose m = -p*x + 86*x. Solve 0 = x*v - 4*v - 4*t - 5, 3*t = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 331002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -3 (c) -0.1 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -161*j + 3577. Give i(19).\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 0 = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6 - p**2 + 0*p**2 + 12 - 16 - 6*p. Let k be y(-3). Suppose -3*g + k - 2 = 0. Solve -6*i = -g*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16202?\nAnswer: 2, 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 11*r**3 + 21*r**2 - 21*r - 47. Let g(m) = -5*m**3 - 11*m**2 + 10*m + 23. Let v(q) = -9*g(q) - 4*j(q). What is the tens digit of v(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-1))\/3*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3832 or -3831?\nAnswer: -3831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*z + 228, -4*z + 53 = -2*a + 277. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 401 (base 12) to base 13.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/234 and -8\/81.\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24949268 by 5.\nAnswer: -24949268\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(85) + 5*sqrt(85) + sqrt(85)))\/(-4*sqrt(125) - sqrt(5)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 1) + 6\/(-4). Let j = 1.18 + 8.82. Let g = 9.1 - j. Sort z, g, -4\/9 in ascending order.\nAnswer: g, z, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -14*w**4\/11 + 116*w**3\/11 - 312*w**2\/11 + 304*w\/11 - 64\/11 = 0.\nAnswer: 2\/7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/1738 and 16\/117?\nAnswer: 203346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2*(-2 - -4). Suppose 4*k - 8 = 5*w - 20, w + 6 = -2*k. Let j(f) = f**3 + 3*f**2 - 3. Let z be j(k). Put z, u, -1 in decreasing order.\nAnswer: u, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 469\/168 - (-12 + 9) and -41\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -678.7 and -450.07.\nAnswer: 305462.509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from {n: 9, y: 2, j: 8, o: 1}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 1:17 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/24)\/((-1)\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 26 = k, -82*k + 169*k = 82*k - 10 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**3\/6 - 7*o**2\/2 + 11*o. What is the least common multiple of u(13) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*y + n + 2, 0 = -3*y + 3*n - 3. Let l = y - 0. Let w(v) = 19*v**2 + 2*v + 1. What is the lowest common multiple of 10 and w(l)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**33*o\/(o\/o**(2\/57)))\/(o\/(((o*o**4*o)\/o)\/o)*o)**(5\/6))**(-17) assuming o is positive.\nAnswer: o**(-33626\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312 = -2*s + 936. Calculate the highest common factor of 78 and s.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(3520))\/(sqrt(270)\/sqrt(6)).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -929 + 1585. Is 35 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1008738 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/5110 and -35\/438?\nAnswer: 15330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0 = 8. Let g be (-1)\/((0 - 3)\/21). Suppose 6 = -2*f, -2*j = -s*f + g*f + 9. Solve j = -b - 3*z - 10, 5 = -2*b - 3*z - 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-1\/3)*s)*s**2)\/(s**3\/(s\/(s*s**(-1\/9)))))\/((s\/s**7)\/(s**(-3\/2)*s)*s*s**(-1\/5)*s**(-8)*s*s) assuming s is positive.\nAnswer: s**(913\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5428092 divided by -277?\nAnswer: -19596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 12:11 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-2\/15)*d\/d**(-16)*(d\/d**16)\/(d*d**(-10\/7)*d) assuming d is positive.\nAnswer: d**(269\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 821.1068ml in litres?\nAnswer: 0.8211068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2073199\/6335 - 107\/905. Let d = 327 - y. What is the nearest to -0.1 in d, -0.02, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*j - 2*u, -u - 815 = -4*j - 839 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 187 - 187 + 5*b**5 + (-31*b**2 - 17*b**2 + 7*b**2)*(-b**3 + 0*b**2 + 0*b**2) + 2*b**5 - b**5 + b**5.\nAnswer: 48*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103198 = 18*t - 988024. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 8\/3*m**4 + 16\/3*m**3 + 1\/3*m**5 - 17\/3*m - 10\/3 + 2\/3*m**2 = 0.\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(420\/(-9)))\/(-2 - 40\/(-25))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u. Let y(c) = -14*c. Let k(i) = i**2 + 13*i - 4. Let x be k(-13). Give x*y(q) + 11*a(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**3 - 23*c**2 + 36*c + 61. Let f be a(-13). Calculate the highest common divisor of f and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -745 by -151090.\nAnswer: 149\/30218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4450.4 * 10.7\nAnswer: 47619.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3580\/(-5728)*((-112)\/15)\/2?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -603.75 + 545. Let z = d - -59. Let g = z - 3.35. Round g to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1119*d**2*u - 5*d*u - 5*u + 129 wrt d.\nAnswer: -2238*d*u - 5*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1652235 (base 9) to base 6.\nAnswer: -31420052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.6 < 291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 3:28 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 90. Suppose w = 8*w + 154. Let b be w\/(-5)*5\/2. Calculate the greatest common divisor of d and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34 or 19?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -44 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6)*(2 - 8). Let h be 2\/3 + (-30)\/(-9). Let n(v) = h*v - v - o*v. Let p(d) = d. Give n(p(g)).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (144*h + 37*h + 55*h)*(-2*h**2 - h**2 + 5*h**2) + h**3 + 1 - 1 + (1 - 2*h**2 - 1)*(-1 - h + 1).\nAnswer: 475*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((3 + sqrt(300))**2 - sqrt(3)) + -4 + sqrt(12) + sqrt(3)).\nAnswer: -1525 - 310*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -r**3*v**2 - 1191*r**3 - 3*r*v**3 - 2*v**2 + 2 wrt v?\nAnswer: -2*r**3*v - 9*r*v**2 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 7. Let q be n(-3). Let m = 4 - q. Put 0.4, m, 15 in descending order.\nAnswer: 15, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 12*l. Let x(c) = -c. Let t(v) = q(v) + 15*x(v). Let a(w) = 11*w**2. Determine t(a(g)).\nAnswer: -33*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0, -0.2, 29, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 59967380 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.9 - -3. Let s = -0.22 + 1.52. Let h = s + -5.3. Which is the second biggest value? (a) d (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -6 + 0*c**2 + 3\/5*c**5 + 0*c + 0*c**4 + 0*c**3. What is r in m(r) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**4 - 898575*r**3 + 40373199360*r**2 - 121111511040*r = 0. Calculate r.\nAnswer: 0, 3, 89856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 5*y + 34384 + 163471 = 0, 2*i + 3*y - 39585 = 0. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/2597854 and -15\/28.\nAnswer: 5195708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(d + 0*d + 0*d + (2*d - 3 + 3)*(-6 - 1 + 5) - 3*d - d + 5*d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2040\/(-90))\/68)\/((-12)\/126).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168536 is divided by 9897.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + o + 36 = 0, -2*g = 13*o - 14*o - 15. Factor -g*r**2 + 6 + 12*r + 6 + 4*r**2 + 4*r**2 + 2*r**2.\nAnswer: 3*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 570 - -1321. Calculate the highest common factor of 93 and t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -8\/3*x**3 - 1\/4*x**4 + 17 - 3*x**2 + 13*x. Let l be o(-7). Solve l*j + 3*t - 2 = 4*j, -2*t = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-5)*1670\/167.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623143 is divided by 155781.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 6*k - 2. Let d be c(-5). Suppose 0 = -4*o - d*v + 291, 5*o - 4*v - 192 - 195 = 0. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -7 + ((-30)\/27 - 1023\/27)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544601 = -6860*j + 38499 for j.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 11*x**2 + 1. Suppose -12 = 3*z, z - 2*z = 3*p - 11. Suppose -p*q + 26 = -24. What is the smallest common multiple of g(1) and q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -362 - -368.74. Round z to 1 decimal place.\nAnswer: 6.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*z + 14*z + 21*z)*(0*z - 3*z + 6*z)*(6 - 6 + 4*z**2) to the form b*z**4 + t + q*z + k*z**3 + j*z**2 and give b.\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4 - -2.4. Is l smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 4*u**2 - 3*u + 8. Let c be h(-4). Suppose n - c = -n. What is the greatest common factor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - m + 3*m + 1, m = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0)\/(199\/((-78008)\/112) - 218\/(-812))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1390 + 806 = 85*q + 98*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aded when four letters picked without replacement from lllledeldljldleald?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3) + (-3)\/(-54)*-2. Which is the third biggest value? (a) -1 (b) j (c) -5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81026282.\nAnswer: 2, 461, 87881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7*y. Let w(x) = -3*x. Let r(i) = -6*o(i) + 15*w(i). Let h(n) be the first derivative of -3*n**2 - 1. Determine h(r(d)).\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 32*k**2 - 18*k - 1. Suppose 8*q - 20 = 13*q. Is d(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*u - 3 + (u + 3 - 3)*(-4 - 5 + 4) to the form p*u + t and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 50433.04 litres?\nAnswer: 50433040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d**2 - 5. Let o(y) = y + 24. Determine o(v(n)).\nAnswer: 4*n**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 2, 1\/6, 5, 6.3, -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 12:27 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.00121 - 11.9362063. Let s = d - 0.065. Round s to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -19203107 and 4.\nAnswer: -19203103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 - 7*s**2 - 5*s + 21. Let t be i(4). Suppose -3*b - 7 = h, 4*h + 24*b - 23*b = -t. Let y(j) = j**3 + 3*j**2 - 8*j - 11. Give y(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -8 - 7)\/((-3)\/12). Suppose 0 = -28*o + w*o + 264. Let v = 3 + -1. Calculate the lowest common multiple of v and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090 times -0.4?\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 141, -152, -443, -732, -1019, -1304, -1587?\n\"Answer: x**2 - 296*x + 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a kilogram in grams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -8. Calculate the common denominator of 61\/12 and t + (-166)\/(-8) - 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001636304 rounded to 6 dps?\nAnswer: -0.001636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 93 + 17 = 2*b, 5*q - 3*b - 165 = 0. Calculate the remainder when 297 is divided by q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54831802 to the power of 1\/2, to the nearest integer?\nAnswer: 7405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 21 = 3*c, -3*c - 10 = -2*c + 2*f. Let u(m) = m - 14. Suppose 5*j - 11 = 5*w - 1, j = -w + 12. Let x be u(j). Which is bigger: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/24 and ((-1309)\/340)\/(1\/2)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(5 + 3 + -6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 6:29 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, r: 2, a: 1}. What is prob of sequence rr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -0.0152\nAnswer: -0.0152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, m: 1, c: 4, g: 3}. Give prob of picking 1 m, 1 v, and 1 c.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -425140445*h**4 + 161*h**2 - 304884*h wrt h.\nAnswer: -10203370680*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2b20 (base 13) to base 12\nAnswer: 3773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwbbbwb.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 5*x**7\/7 + 127*x**4\/4 + x**3\/3 - 3513*x - 7828. What is the third derivative of j(h) wrt h?\nAnswer: 600*h**3 + 762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((2 + ((sqrt(104) + sqrt(104)*-3)\/sqrt(8) - sqrt(91)\/(-5*sqrt(7))))*-2 + -2)*2)**2.\nAnswer: -1008*sqrt(13)\/5 + 21748\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -518465.4 rounded to the nearest 10000?\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -22. Let u(d) = -d**3 + 6*d**2 - 2. Let s be u(4). What is the greatest common divisor of s and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2.3. Put t, 0.1, 1 in increasing order.\nAnswer: t, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(0 - 4\/(-16)). Suppose 3*f = 4*y + 3, -9 = 3*f - 24. Let i = b - y. Is i at most as big as -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-7))\/k**(-9)*((k\/k**(-1\/3))\/k)**(-8\/5))\/((k*k*k\/k**(1\/4)*k**(4\/5))\/(k**6\/((k*(k\/(k**(-9)*k))\/k*k)\/k*k*k))) assuming k is positive.\nAnswer: k**(-73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**3*q**2*y - 2*o**3 - 2*o**2*y**3 + 2154*o*q**2*y**3 - 1043*o*q*y**2 + 3*o*y wrt q.\nAnswer: 4*o**3*y + 4308*o*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -154 or -153?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 289659554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.49 - -3.49001651. Round i to seven dps.\nAnswer: 0.0000165","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3)*a**(-4))\/(a*a**(-5\/3)\/a*a*((a*a**3)\/a)\/a) assuming a is positive.\nAnswer: a**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 81401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(19))*-1 + -4)**2 - ((sqrt(19) - -1*(1 + sqrt(19))) + 5 + sqrt(171)).\nAnswer: sqrt(19) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3111)\/61 + 61 - (5 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4667656 is divided by 5118.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.8 + 6.3. Let u = -5 + v. Which is the second biggest value? (a) 1\/3 (b) -1\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2782\/9 - 21851\/72. Find the common denominator of j and 59\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3471159736891 - -5.\nAnswer: -3471159736886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117023944 is divided by 7164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3375325 minutes to microseconds.\nAnswer: 20251950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*k**4\/2 + 321*k**3\/8 + 351*k**2\/4 + 111*k\/2 + 9 = 0. What is k?\nAnswer: -6, -2, -2\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2930\/(-15))\/(2 + 16\/(-6)). Let f = u - 122. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 130592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*b - 12*b - 6. Solve b = -3*g + 15 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3827 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l - 4. Determine r(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3f (base 16) in base 9?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154 and 56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 9:00 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15215*c + 45604*c - 15092*c - 15185*c.\nAnswer: 112*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23137961211520 + -23137966590775.50000008. Let x = -5379255 - y. Let c = -0.5 + x. What is c rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4072\/19 or 18.2?\nAnswer: -4072\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/9*185\/(-444)*27\/66\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 2*a + 20. Suppose 8*o + 156 = 5*o. Let w = -52 - o. What is the least common multiple of 12 and p(w)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6 = -2. Suppose -c - h = 0, 5*y - 2*c - 397 = -0*c. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/7 (b) 419\/2 (c) 22 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(40)\/sqrt(32) + -4)*2.\nAnswer: -5*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292813.\nAnswer: 23, 29, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6962, -37795, -89186, -161135, -253642, -366707?\n\"Answer: -10279*u**2 + 4*u + 3313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 12:35 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4694 or 4695?\nAnswer: 4694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(3) - (2 + sqrt(6)\/sqrt(2))))**2 + -2*(sqrt(243)*-2)**2)*3.\nAnswer: -5532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c. Let z(q) = -5*q**2 - 26*q + 7. Let k be (-3)\/(57\/97) - 2\/(-19). Let s be z(k). Let r(n) = -10*n. Calculate s*m(j) + r(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 437*n**3 - 2690*n**2 + 1537*n**3 - 1525*n**2 - 225*n**2 wrt n.\nAnswer: 11844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*n + 525 = -185*n. Calculate the remainder when 451 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77844*c**3 + 643746 - 643746 - 78292*c**3.\nAnswer: -448*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 4219010561.\nAnswer: -4219010563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((1 + sqrt(12) - sqrt(12)) + 1)**2 - (sqrt(12) - (sqrt(12) + 0 + 2))) + 5*-1*sqrt(972)*6.\nAnswer: -540*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.407084062.\nAnswer: 0.407084062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjcc when four letters picked without replacement from {j: 13, c: 5}?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 602514, 1204953, 1807378, 2409783, 3012162, 3614509?\n\"Answer: -d**3 - d**2 + 602449*d + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1153280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x + 5. Suppose -30 = -2*n + 12*n. Let a be 6 + (n - 4) + -3. Let y(s) = 12*s + 9. Calculate a*y(l) + 7*r(l).\nAnswer: -6*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n + 5*n - n**2 - 2*n - 14. Let f(u) = -5*u - 17. Let j be f(-4). Suppose -j*i = i - i. What is w(i)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*1\/9*(6 - 693\/110). Sort b, 9, -0.2, 6, -0.07 in decreasing order.\nAnswer: 9, 6, b, -0.07, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 761969?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9057 divided by 3?\nAnswer: -3019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12030 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74143 (base 8) to base 12.\nAnswer: 15a03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 140 = -4*n. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 19*m + 82. Determine n(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2315985 divided by -49.\nAnswer: 47265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 + 287040*y.\nAnswer: 2*y*(y + 143520)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-3)\/27)\/((-40)\/1200).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 209*r**5\/15 - 179*r**4\/24 + r**3\/2 + 1049*r**2. What is the second derivative of o(d) wrt d?\nAnswer: 1672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 664 + 244. Let b(r) = r**2 + 7*r. Let p be b(-8). Suppose 0 = -j + 4 + p. What is the greatest common factor of w and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 1:04 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1930*x - 16065 + 16065.\nAnswer: -1930*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxd when three letters picked without replacement from dxx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2389, 4780, 7171, 9562, 11953?\n\"Answer: 2391*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -428 and 2.12766.\nAnswer: -425.87234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**2 - 8. Let a(m) = 0 - 7 - 20*m**2 + 15*m**2 - 2. Let k(q) = 7*q**3 + q**2 + 3*q - 5. Let f be k(1). Determine f*h(z) - 5*a(z).\nAnswer: z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-6))\/(-1)*-3. Let k be 2 - 28\/2*h. What is the highest common factor of 75 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/36111 and -7\/38.\nAnswer: 1372218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.7104 - -0.0696. Let r = 8.8 - f. What is the closest to 1\/2 in 0.3, -4, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1612*c**6 - 694*c**2.\nAnswer: -193440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 811230 is divided by 17260?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1743045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x + 44. Let u be m(-11). Suppose -7*j + 426880 = 3*b - 2*j, b + 5*j - 142280 = u. Round b to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + -3. What is the remainder when 228 is divided by z?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -434*a**2*r**3 + a*r**3 - 49*r**3 wrt a.\nAnswer: -868*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 448 - 395. What is the remainder when f is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45+-10.47\nAnswer: 34.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 5*g**2 + 467*g - 3163. Give w(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + 1240\/(-15) + 2\/(-6). Let p = s + 77. Let j = -43 - -41. Sort j, 3, p.\nAnswer: j, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 + 0.9. Which is the smallest value? (a) -3 (b) 0.01 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4325 - 1201?\nAnswer: -5526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-7) + 2)\/((-21)\/42).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 471 = -3*r, 4*g = 8*r - 3*r - 794. Let z = 162 - r. What is the nearest to -62 in z, 3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 6, 0 = -f + 2*c + 2*c. Suppose 12*b = f*b. Suppose -h + 56 = 3*h - d, -3*d = b. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00125793443 to 6 decimal places.\nAnswer: 0.001258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 110900 (b) -3\/5 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -1307*p - 54891. Determine v(-42).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 608991 and 41820.\nAnswer: 499372620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(6118\/115)*(-80)\/(-250)\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 10*c - 6. Let a be t(9). Suppose 8*k - 3*k = -25. Let f = -3 - -4. What is the nearest to f in a, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -8666?\nAnswer: -34664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4\/2 + 9*g**3\/2 + 81*g**2\/2 - 405*g\/2 + 243.\nAnswer: -3*(g - 3)**3*(g + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 85*x**2 - 1795*x - 330. Give a(41).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 times 5?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -6126055?\nAnswer: -6126056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**8\/48 - 17*r**7\/105 + r**4\/12 - 17*r**3\/6 + 389*r**2. Find the second derivative of p(i) wrt i.\nAnswer: -140*i**3 - 408*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 c when two letters picked without replacement from {c: 1, k: 2, a: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1235 and 5529?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/(-14) + (-8 - -6). Which is the second biggest value? (a) x (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*j = -98*j - 100 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**2\/2 - 7*c + 3. Let p be r(-8). Is 25 a factor of -1*p*(0 + -25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1995 + -1367. Calculate the greatest common divisor of p and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -1 - 6 + 0 + 2*j. Let g be c(5). Factor b**3 + 2*b**2 + 0*b**g - b**2.\nAnswer: b**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5 - 1. Suppose 5*s = -4*w + 674, f*w - 221 = -2*s + 281. Let k = -78 + w. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 131124 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68360 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**5\/2 - j**4\/24 - 2*j**3 + 2*j**2 + 103. Let d(b) be the third derivative of l(b). Let t(g) = -6*g. Give t(d(o)).\nAnswer: -360*o + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -3, 524?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 11, g: 2}. Give prob of picking 2 v.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 169971 or 169991?\nAnswer: 169971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -869, -399, 71, 541, 1011?\nAnswer: 1481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 454*y**2 - 5712*y - 13. Determine a(13).\nAnswer: 2457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-72)\/216)\/(2 - 523\/261). Suppose 2*m - 696 = -4*m. What is the highest common divisor of f and m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4747798?\nAnswer: 2, 11, 23, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -3*n + 65, 24467*p = -n + 24466*p - 18 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(-21) + (-1)\/3. Sort x, -5, -2.\nAnswer: -5, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 + 0*z + z + 3*z**3 - z**4 + (0*z**2 - z**2 - 2*z**2)*(2*z**2 - 4*z**2 + 8*z**2) to m*z**4 + p*z + b*z**3 + r*z**2 + d and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cpxcxcgdxcgdrpg.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**2\/2 - 12469170*f - 77740100244450 = 0.\nAnswer: -12469170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*21\/28)\/(3\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 1441?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231014?\nAnswer: 2, 7, 29, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3*o + 4, -4*o + 7*o - 34 = 4*m. Suppose -11*h = -8*h + 36. Let w = h - -1. Are m and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/2)*d**8\/d assuming d is positive.\nAnswer: d**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 37\/(-7))*-5*(-21)\/(-3)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/2 - 111*r**2\/2 - 624*r - 1920.\nAnswer: -3*(r + 5)*(r + 16)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50778179, -50778179, -50778177, -50778173?\nAnswer: -50778167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 - 8.45. Let i = -90 + 98. Let l = x + i. Is -0.1 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-26)\/(-8)*(1 + 27)\/7. Let m(o) = -o**3 + 15*o**2 - 25*o - 18. Let z be m(l). Which is the nearest to 2? (a) z (b) 1\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 10:22 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124279*z + 195844*z + 259595*z + 86713*z.\nAnswer: 417873*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2520 and 693?\nAnswer: 27720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.82071 minutes in nanoseconds?\nAnswer: 2869242600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.08, 1\/2, -2\/17, -1\/5, 531310.5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1434.7*-0.5.\nAnswer: 717.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 8*r**2 + r. Let f(l) = -65*l. Calculate f(y(n)).\nAnswer: -520*n**2 - 65*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 191 - 232 = 0. What is the common denominator of -58\/9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-83)\/((-10458)\/(-700))*((-2)\/(-8))\/(4\/(-24))?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-7) - ((-15)\/(-6))\/((-336)\/(-1056)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -13*j - 25. Suppose -i = i - 54. Calculate the remainder when s(-6) is divided by i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*4*(-8)\/(-16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 4*r**5\/15 - r**2 + 263*r. Let k(d) = 454*d**2. Determine k(v(l)).\nAnswer: 116224*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18355, -18354, -18353, -18352, -18351?\nAnswer: -18350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 860\/9 + -3719\/36. Let b = 530 - 5802\/11. Calculate the common denominator of b and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 8*y + 5. Let b be r(6). Suppose -32*c + 8576 = 66*c + 30*c. Let t = c - b. Calculate the smallest common multiple of t and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 239\/5 + -48. Let w = -7 - -1. Let c = -5.9 - w. Sort x, c, 2 in decreasing order.\nAnswer: 2, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-5)*(-3)\/(-3)*1736\/(-124)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/10 in -133494, -1, -7\/5, 5, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q**3 - 25*q**2 + 34*q - 381. Let g be m(6). Factor -27*y**2 - 324 + 3\/2*y**g + 162*y.\nAnswer: 3*(y - 6)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c5 + 14ec0?\nAnswer: 14aea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 15*c + 20*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 8*v + 198 = 0. Suppose v = 6*r - 72. Calculate the greatest common divisor of r and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*r = 2. Let v be (-2)\/(-3) + 3\/9. Let s = v + 0. What is the remainder when s is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 14*o**2 - 8. Let f(u) = -9*u**2 + 5. Let m(g) = g**2 - g + 15. Let c be m(0). Let y = c + -20. Determine y*k(s) - 8*f(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*p**2 - 1\/3*p + 2\/3 + 1\/3*p**3.\nAnswer: (p - 2)*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 59.3487 millilitres?\nAnswer: 0.0593487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*l**3*m**3 - 130*l**3 - 9*l**2*m**3 with respect to m.\nAnswer: -111*l**3*m**2 - 27*l**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 7660?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**9\/30240 - u**8\/13440 + u**4\/12 - 11*u. Let w(b) be the third derivative of h(b). Factor w(r).\nAnswer: r**3*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4428 = -3*n, -3*n + 4428 = -3*a - 0*a. What are the prime factors of n?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 10:46 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4\/11*l**3 - 2\/11*l**2 + 2\/11*l**4 + 4\/11*l + 0 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-81))\/(-3*3\/18) + 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48392323 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 - -1. Let w = g - 0.1. Suppose 0 = -47*h - 3*h - 200. What is the third smallest value in h, w, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 702493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 864, 862, 858, 852?\n\"Answer: -p**2 + p + 864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*((-8)\/(-1) + -7)\/(-1). Solve f = -41*u - 70 - 53 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from {h: 1, q: 1, w: 1, c: 3, g: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8)\/(-20) - (-363)\/5 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y**2 - 1502*y - 143001. What is n(-76)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*g - 1179 = 73*g - 8*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-2)*-20*1\/(-4). Solve -10 = -2*h + b*z - 31, -3*z + 19 = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 10 - 4*o - o)*(o**2 + o**2 - o**2)*(675 - 675 - 67*o).\nAnswer: 134*o**4 + 670*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 81?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14333\/9320 + -230\/233. What is the common denominator of g and -25\/76?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210052 divided by -100?\nAnswer: -52513\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l**2 - l**2 + 3*l**2)*(-6*l**2 - 392446 + 392446 + 1479*l) as s + c*l + j*l**4 + t*l**3 + b*l**2 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from {h: 10, i: 1, q: 4, n: 2, z: 1}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**4\/12 + 5*b**3\/6 - 3*b**2 - 2*b. Let g be z(5). Let l(q) = q + 8. Calculate l(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 + 8d4a76?\nAnswer: 8d4a5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllelleeelle. Give prob of picking 1 e and 1 l.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**4 - 842*d**3 + 75856*d**2 - 1680904*d + 1605888 = 0?\nAnswer: 1, 32, 82, 306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 8 + 4\/(-2). Let s(o) = 9*o + 15. Let w(n) = -5*n - 8. Let g(i) = 6*s(i) + 11*w(i). Give g(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 7:14 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*q**2 + 2*q - 7 - 3)*(3*q - 5*q + 0*q).\nAnswer: 4*q**3 - 4*q**2 + 22*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -41*x**3 - 3*x**2 - 52*x. Let s(c) = 14*c**3 + c**2 + 17*c. Let v(h) = 2*i(h) + 7*s(h). What is the third derivative of v(t) wrt t?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, o: 14}. Give prob of picking 1 o and 2 x.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 40 = -2. Let k = -18 - q. Suppose k*a - 6 - 3 = l, 5*a - 25 = 0. Let v(x) = x**3 - 5*x**2 - 6*x + 6. Calculate v(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -7*q - 20. Suppose q = 2*i + 6. What is the first derivative of -24 - 12 + 28*f**i + 0 wrt f?\nAnswer: 56*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3572321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 152*h**3*v + 2*v + 272 wrt h?\nAnswer: 456*h**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + g = -3, 2*o - 3 = -g - 1. Let l be (2 + -2 + -31)\/o. Let b = 43 + l. What is the highest common divisor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6755984 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1*191\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57401 and 44227?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 134979*t - 20763038. Determine f(-154).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.1361745?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.7 + 7.7. Let h be ((-6)\/32)\/(6\/(-4)). What is the biggest value in 1, q, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3*c**2 + 2\/3 + 0*c = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 14*b - 3. Let l(i) = -i**3 - 8*i**2 - 24*i - 43. Let w be l(-5). Calculate f(w).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*y**0*y))**(-1\/3)*(y*y**(2\/3))**(-9\/7)*y**(1\/6)*((((y**(1\/3)*y*y)\/y)\/y)\/y)\/y*(y\/(y**1*y))\/(y**(-5)*y*y) assuming y is positive.\nAnswer: y**(-41\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(5\/5) - -2. Let u be 4*l*(-4)\/12. Let t(b) = b - 5*b + 6*b - u*b. Let p(w) = -78*w**2. What is p(t(x))?\nAnswer: -312*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, b: 1, u: 1, i: 2}. Give prob of sequence ugg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3316, 3325, 3344, 3379, 3436?\nAnswer: 3521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -16. Suppose 8 = 2*b - u. Find the first derivative of -b - 51*j + 27*j + 24*j + j**4 wrt j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2 + 7 + 7*a - 11. Let j(n) = 15*n - 13. Let z(c) = 13*g(c) - 6*j(c). Let w(u) = 4418*u**2 + 4420*u**2 - 8843*u**2. What is z(w(y))?\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*v**2 + 4*v**3 - 39*v**2 - v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2686 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**3 + 3 - 4*z**3 - z**3 + 2*z to h*z**2 + t + o*z**3 + p*z and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 47*b - 11787 = -45*b, 2*u = -2*b + 23544. Does 257 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 4*t + 3*y + 2907 = 0, -2*y - 973 = -t. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p + 8*p - 15 + 11*p. Let r(h) be the first derivative of 11*h**2\/2 - 14*h - 385. Let l(u) = 5*r(u) - 4*x(u). Differentiate l(d) wrt d.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 - 74. Let p = 120 + -959\/8. What is the second biggest value in s, -2\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/10 and 76\/243.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1091448?\nAnswer: 2, 3, 31, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68390*m - 3 + 1 + 235336*m.\nAnswer: 166946*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = -13*r + 20. Sort -5, -3, r in increasing order.\nAnswer: -5, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*u - 4806 + 135 = 2020 + 1369 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*l = 66*l - 49120. Which is bigger: -1534 or l?\nAnswer: -1534","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 61 + 30 + 17 - 12*k.\nAnswer: -12*k + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8502c9 (base 13) to base 3\nAnswer: -12212012010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 16*h = 4. Sort h, 2, -3, 5 in descending order.\nAnswer: 5, 2, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 27 + 0 - 17*j**2 + 18*j**2 - 28*j = 0. Calculate j.\nAnswer: 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -206 or -8056\/39?\nAnswer: -8056\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9511\/3 - 3182. Calculate the common denominator of 52\/1035 and f.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 603, -78 in descending order.\nAnswer: 603, 0, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**7\/150 + 2*l**6\/75 - 17*l**5\/300 - l**4\/20 - l**2 - 3*l. Let h(u) be the first derivative of z(u). Solve h(x) = 0 for x.\nAnswer: -3, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 + g**3 + 2*g**3 + (136*g + 84*g**3 - 136*g)*(-10 - 1 + 6).\nAnswer: -419*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 11:57 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 616, 2508, 5698, 10186?\nAnswer: 15972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -4 + -9 - (1 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 137.6*-0.2\nAnswer: -27.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121022120 (base 3) to base 4.\nAnswer: -2321313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s = -4*p + 106, 3*s = 5*p - 135. Suppose 12*v - p = 48. Calculate the greatest common divisor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37\/5 of a centimeter?\nAnswer: 74000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 10. Suppose -v + d*v - 456 = -t, -2*v = 3*t - 228. Suppose -4*m + v - 46 = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from zdzqdvvdddzdoduvzvuz.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -43, -70, -101, -136, -175?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 31. Let s(y) be the first derivative of 0*y**n - 1\/3*y**3 + 0*y - 1. Let z(t) = 3*t. Give s(z(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.384+-1480\nAnswer: -1479.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**2 - 88*t. Let c(u) = u**2. Let r(m) = -5*c(m) + g(m). Let i(h) be the second derivative of -h**3\/3 + 143*h. What is r(i(a))?\nAnswer: -4*a**2 + 176*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 102043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**3\/3 + 60356732*v**2\/3 = 0.\nAnswer: -30178366, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 3*f**3 + 2*f**2)*(-2*f + 0 + 0)*(-4 + 3 - 4)*(0 - 1 - 4).\nAnswer: -150*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -498312946.1 to the nearest 1000000.\nAnswer: -498000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 2:41 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + y - 1. Let c be a(-2). Let h = 13 + -9. Suppose -15 = -h*x + 4*d + 41, 0 = -d - c. Calculate the remainder when 37 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 21 = -15. Let m be ((-608)\/n - 32\/(-144)) + 0. What is the greatest common factor of 544 and m?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 2529 - 209. Calculate the greatest common divisor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -15*u + 10. Let l be z(-4). Let x = l + -65. Suppose 0 = -2*g - x*f + 873, g + 3*f - 347 - 87 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-57)\/76*16\/(-21). Find s such that 10\/7*s**3 - 10\/7*s + 4\/7*s**2 - y = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*a**2*v**2 + 14*a**2 + a*v**2 + 99*v**2 - 1 wrt a.\nAnswer: -20*v**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 5492*o**2 - 61064*o + 232512.\nAnswer: 4*(o - 1384)*(o - 3)*(o + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from gnennegingg.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 + 11*y + 34. Give s(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((10\/3)\/(-5))\/(2\/114). Let t = m + 35. Let o(b) = b**2 + 3*b + 3. What is o(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2198104 is divided by 22203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 1813?\nAnswer: 1813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*f**5 - 3357*f**3 + 1508273*f wrt f?\nAnswer: -200*f**3 - 20142*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 1\/911910?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 2*t**2 + 1. Let n(i) = -162*i**3 - 6*i**2 - i - 1713. Let z(c) = 3*b(c) + n(c). What is the derivative of z(y) wrt y?\nAnswer: -477*y**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15701452?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 9*o**2. Let r(i) = 8*i - 6. Let b(c) = 6*c - 1. Let s be b(-1). Let z(n) = -9*n + 7. Let l(a) = s*r(a) - 6*z(a). Determine l(m(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(5*q - 4*q + 0*q)*(3 + 4 - 5).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (t**3 - 2*t**3 + 3*t**3)*(t - 2*t - t) - 2*t**4 - 5*t**4 + 4*t**4 in the form s*t**2 + n + m*t**4 + v*t + g*t**3 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -9*a + 4*a + 100, -a + 20 = 5*w. Let i be (a\/(-6) + 3)\/((-2)\/12). Solve -3*j - i*l + 3 = -5, 4*j = -5*l + 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -604098 by 6.\nAnswer: -100683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/15 of a millennium?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 - 2 + 3 - 14*u + 10*u - 17*u**4 to the form d*u + y*u**2 + n + o*u**4 + f*u**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 22311232?\nAnswer: -22311224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*c**2*f**3 + 4*c**2*f**2 + c**2*f + 8*c*f**2 - 5*c*f + 720*f**4 wrt f?\nAnswer: 42*c**2 + 17280*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -6 - (5 - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -423, -381, -339, -297, -255, -213?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 3*i**2 - 3*i + 1. Let t be b(2). Let q be 7\/(21\/684) + 3. Let p be 946\/q + (-1 - 3). Is p bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d + 5*d - 4466 = 11*d. What is the remainder when d is divided by 29?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103904?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 106 (b) -1\/4 (c) -0.4 (d) -6\/35 (e) -3869\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2632 divided by 47\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p + p - 24*p - 2*p to d*p + g and give d.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 2*r - 20. What is the remainder when 48 is divided by v(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4802.772 millilitres?\nAnswer: 4.802772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = h + 6, 0*h + 5*k = -2*h - 6. Suppose -753 = -y - h*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2607.22748*0.1\nAnswer: -260.722748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*v + 8 = 0. Let r(f) = -8 + f - 6 - v*f. Let p be r(-12). Are p and -1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -2\/315*c**7 + 0*c**4 - 1\/1512*c**8 + 7\/135*c**5 + 1\/60*c**6 + 0 + 0*c**3 + 0*c - 129*c**2. Determine s so that b(s) = 0.\nAnswer: -7, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52205010 and 2860?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 13\/8, 4, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 52*i**5 + 467*i**4\/2 + 646*i - 1. What is the third derivative of g(b) wrt b?\nAnswer: 6240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 877, -5, -74, -2\/33?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 9*x**2 - 9*x + 13. Let b be j(-11). What is the common denominator of 3 - (-6)\/((-432)\/b) and 59\/105?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 1018 - 778. Let z = 319 + -303. Calculate the greatest common factor of g and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-81)\/54*8\/(-3). Suppose -311 = -b*w + 149. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 6.4481.\nAnswer: 6.0481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**5\/15 + 566*r**4\/15 + 16982*r**3\/5 + 275090*r**2\/3 - 4491524*r\/15 + 204304 = 0.\nAnswer: -113, -60, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k + i - 325 = 0, 0 = 5*i - 25. Suppose -2*h + 56 = n, 3*h - 29 = -2*n + k. Let a = 10 - 0. What is the highest common divisor of a and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 876.5313 kilograms to tonnes.\nAnswer: 0.8765313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33967486895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -109881.948757 + 109882. What is a rounded to three decimal places?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -124.9.\nAnswer: 12.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 432, 444, 430, 384, 300, 172, -6, -240?\nAnswer: -536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 2*n - n)*(-3 + 5 + 1 + (57 + 5 + 9)*(5 + 0 - 1))*(0*n**2 - 3*n**2 + n**2).\nAnswer: -574*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 11*t**2 + 11*t - 10. Let i be k(-12). Suppose 2*p + i*p = 80. Calculate the least common multiple of p and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -15.87. Let r = 0.27 - b. What is the nearest to -0.1 in r, -3, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -3. Suppose -3*i + 4*q + 69 + 104 = 0, q - 178 = -w*i. What are the prime factors of i?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 5416 + 3 - 14. What is the highest common divisor of r and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 7*l**4\/12 - 67*l**3\/6 + 1996*l**2 - 3*l - 715. Differentiate u(s) with respect to s.\nAnswer: 14*s - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304*b - 61*b - 82*b - 9 - 79*b - 80*b.\nAnswer: 2*b - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/7, 0.4, 0.3, 2\/43, -3\/2, 9076?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 2. Let d be l(6). Is d\/(-32) + (-4974)\/(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.3, -14 in descending order.\nAnswer: 0.3, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*a + h, 0*h - h = 2. Suppose -4 = -2*d + o, -5*d - 3*o = -22 - a. Suppose -6 - 18 = -d*w. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3\/(d**(-3\/8)\/d))**(-2\/49)*(d**(-3\/10)*d*d\/d**1)**(1\/31) assuming d is positive.\nAnswer: d**(-677\/4340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 433795 and 2394710?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n\/n**(1\/7)*n))**23\/((n**(-33)*n)\/n**(-19)) assuming n is positive.\nAnswer: n**(-369\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 12 = -4*m - 22, 3*n = 5*m + 47. Suppose 4*c - 4*d + 22 = n*c, -4*d = -12. Suppose -c*j = 4*j + 2*j. Solve j = -2*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41\/7 + 1)*((-92)\/(-299) - 10912\/(-1209)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w**3 + 6*w**2 + 2*w - 9. Determine y(2).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 114\/40 + 8\/20. Let h = l - 7\/4. Is 2 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 u when three letters picked without replacement from tttuuttttuttttuuttt?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 6*p + 62. Let s(q) be the first derivative of q**3\/3 + 5*q**2 - 4*q + 41. Let o be s(p). Calculate the greatest common divisor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -50, 411, 1202, 2323, 3774, 5555, 7666?\n\"Answer: 165*r**2 - 34*r - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdtdt. Give prob of sequence dtd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 759 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-18)\/20 + (-28)\/(-35)). Does 11 divide -22*((-45)\/m - 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2241 (base 5) to base 8.\nAnswer: -501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13843*g**2 - 13889*g**2 - 6*g - 848 + 27691*g**2 wrt g?\nAnswer: -82*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*x = 45*x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605)*-3*-5.\nAnswer: 165*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 9*h + 3. Let r be b(9). Suppose -4*n = -2*j - 60, n + 22 = 3*n - r*j. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 13. Let x(i) = 73*i**2 - 3*i + 2. Let p be x(2). Suppose y*s + p = 7*s. What is the highest common divisor of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175)*-6*4.\nAnswer: -120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7*(21877145\/10 - 15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-84))\/((-2)\/(-35))*2107\/(-245)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57*((-186)\/(-31) - 1*(7 + -5 + 5)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(612)*-1 + -4 + -1 + sqrt(612) + -5 + -3*-5*sqrt(612)*-2 + 2))**2.\nAnswer: 25920*sqrt(17) + 4957776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 40 = -5*c, -11 = -5*c - r + 44. What is the least common multiple of c and 90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63b64 (base 14) in base 9?\nAnswer: 406486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3343 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 58*c - 188. Let t be z(3). Solve 3*p = -5*q + 7 - 6, -t*p = q - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.198967kg?\nAnswer: 198967000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**5*l*l\/l**(-6\/7)*(l\/(l*l\/((l**(2\/13)\/l)\/l)))\/((l**0*l)\/l*l) assuming l is positive.\nAnswer: l**(365\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/14 and -97\/156.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 + 498\/((-10)\/(-5)) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.431 - 3.891. Do -0.2 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1170\/7*16\/20. Let c = -134 + z. Which is greater: -1\/4 or c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196 divided by 5\nAnswer: 196\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-42)\/2205*(-465)\/(-6)?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2912*i**3 + 2*i - 126*i**2 + 2913*i**3 - 10 + 11)*(5 - 4 - 20) as s*i**2 + u + l*i + g*i**3 and give g.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*o + 5*m - 42, 0 = -3*o + 4*m - 19. Let y = -11 - o. Solve y = -2*k - 3*c, 3*k + 0*c = 4*c - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khghhhhghhkyhgygghg. What is prob of picking 1 k, 2 h, and 1 g?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1325801 - -1?\nAnswer: 1325802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.111*2429.61\nAnswer: -269.68671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 0.5, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*i + 6. Suppose -i*t + 3*t = -5*b + 10, -4*t - 17 = b. Suppose d - 5 = -u, 2*d - b*u - 31 - 4 = 0. Solve -2*q = -0 - d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 228 + -174. List the prime factors of (-69)\/(-4)*(-3)\/(i\/(-192)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 6*q**2 + 17*q - 2. Determine b(-7).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564356.\nAnswer: 2, 13, 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46602\/(-3452))\/(6\/(-8)*(-4)\/6).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 394 = -1979. Let z(t) = 304 + 12*t**2 - 6*t**2 - a - 3*t. Let b(p) be the first derivative of 2*p**3\/3 - p**2\/2 - 4*p + 2. Give -7*b(h) + 2*z(h).\nAnswer: -2*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3878931?\nAnswer: 3, 7, 184711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*f + 115 = -5*c, -17 = -209*c + 204*c + f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*s - 20 + 384, -2*k = 4. What is the tens digit of s\/(-5)*(0 - 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124929181038 - 0.3.\nAnswer: -124929181038.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 12:05 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/26)\/3 + ((-936)\/(-1014))\/(24\/1348)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2*10)\/(1 - 0). Suppose 80 = 5*s + 80. Solve s*j + g = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*q + 19*q - 165. Let r(m) = -q + m + 55. Let o(t) = -4*t - 3 - 2 + 2 + 4. Determine -o(p) - 6*r(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340 + 7816203.5992.\nAnswer: 7816543.5992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -728005567*x**5 - 118*x + 2147847 wrt x.\nAnswer: -14560111340*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 0. Let s be -9 + 9 + 2\/1. Let l(v) = -s*v - 2*v - q*v + 9*v. Let i(p) = 2*p. What is l(i(m))?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 * 58958834.\nAnswer: -94334134.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1188 + 4534 = 2*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67444, 67433, 67400, 67333, 67220, 67049, 66808?\nAnswer: 66485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 12*t**3 + 0 - 4 + 5 - 2*t. Let x(v) = v + 2. Let c be x(-1). Determine k(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*z**2 + 107 - 107 + (2*z**2 + 0*z**2 - z**2)*(13 - 5 - 6) - 2*z**2 - 2*z**2 + 5*z**2 - 2.\nAnswer: 36*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i - 5. Let b be m(4). Suppose 5*n - 2*k = 29, -3*k = -b*n + 21 - 0. Suppose -80 = -n*s - 0*s. What is the remainder when 47 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 540*t - 539. Determine n(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 34*y**2 + 0 + 0*y + 1\/3*y**3 - 1\/24*y**4. Give a(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f - 3*f**2 + 4*f**2 - 2*f**2 + (2*f - 2*f + 2*f**2)*(-1 - 1 - 8).\nAnswer: -21*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -118.4 rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82120141?\nAnswer: 29, 2831729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*s - 5, 3*s + 14 = 2. Solve c*i = 7*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**8\/840 - d**6\/72 + 5*d**3\/6 + 4*d. Let l(p) be the second derivative of c(p). What is the third derivative of l(a) wrt a?\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - (-10 + (9 - 0 - (15 + 1 + -9)))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 10670643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-14) + (60 - 1). Let o(f) = -6*f + 1. Let q be o(-4). Let u = r - q. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 9*m**2 + m - 1. Suppose 7*q + 4*f = 3*q, -q - 3*f - 6 = 0. Suppose 18 = 2*a + 24, q*a - 36 = 5*i. Determine z(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxbn when four letters picked without replacement from xbdkxbsssdndds?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 882 - 877. What is the fourth biggest value in v, 2\/9, -236, -1\/3?\nAnswer: -236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) 17 (c) -5 (d) 36 (e) -0.4 (f) 108\/89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - ((34 - (16 + 5)) + -7 + -3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12887 - 12876.363. Round n to one decimal place.\nAnswer: 10.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + -4 + (sqrt(120)\/(sqrt(5) + sqrt(320)*2))\/(-1*(sqrt(648) - sqrt(648)*2 - sqrt(8))))**2.\nAnswer: 3*sqrt(3)\/85 + 260103\/28900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -37. What is the remainder when 37 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*k**2 + k - 74*k**2 - k.\nAnswer: -29*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 33148*s**3 - 2*s**2 - 33150*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19592)\/217 + 40 + 51?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 166397 and 154?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 44304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5544 = 3895*u - 3979*u for u.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 83*v**6\/120 + v**5\/30 + v**4\/24 - 31*v**3\/3 - v**2 + 62. Find the second derivative of x(d) wrt d.\nAnswer: 498*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/27031 + 81023\/946085. Let k(u) be the first derivative of -9\/7*u - 12\/7*u**2 + 0*u**4 + 3 - 6\/7*u**3 + y*u**5. Factor k(g).\nAnswer: 3*(g - 3)*(g + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/4312 and 31\/40271385.\nAnswer: 322171080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**4\/12 - f**2. Let w(q) = q**3 - 16*q**2 - 16*q - 15. Let j be w(17). Let b(g) = -6*g**2 + 2*g**2 - g**j. What is k(b(u))?\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -15.3, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -5. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 12*z**2 + 46*z + 434. Determine i(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8783322 - -5?\nAnswer: 8783327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**3\/6 + 4*v. Let q(f) be the second derivative of 7*f**5\/20 + 7*f**3 - 145*f. What is 42*n(c) + q(c)?\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-15)\/50)\/1)\/(144\/60)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = s - 3*j, 2*s + 195*j = 226*j + 814 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, o: 1, d: 3, h: 1, n: 1}. Give prob of sequence ohd.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, v: 3}. Give prob of sequence nn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -27996851 and 216747.\nAnswer: -27780104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*z + 291*z + 36 = 0 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15253 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 61*l + 0 - 11*l + 10*l.\nAnswer: -62*l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1958 + -1959. What is the biggest value in q, 1\/3, 27, -0.3?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b + 3*b - 4*b)*(-1 + 3 - 4)*(-3*b + 2*b + 0*b) + (-b - b + b)*(-2*b - b + 2*b) to the form q*b**2 + p*b + m and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -12*l**2 + 4*l. Let r(i) = i**2 - i. Suppose 5*n - 2 = -b - 7, 4 = -4*n + 3*b. Give n*s(y) - 6*r(y).\nAnswer: 6*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 10) in base 5?\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 0*v + 1\/30*v**5 + 58\/3*v**3 - 89*v**2 + 0 + 7\/24*v**4. Differentiate o(q) with respect to q.\nAnswer: 4*q + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**5 - 144*j**4 - 5308*j**3 - 46648*j**2 - 104064*j + 156160 = 0.\nAnswer: -10, -8, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82502 and 130.\nAnswer: 5362630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*a + 3*x, 138*x - 5 = 137*x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + t = -x, 5*x + 5 - 5 = 2*t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8308 and 6200.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 567 - 805. Let j = 618 - t. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, d: 1, b: 4, g: 9}. What is prob of picking 1 g, 1 b, and 1 e?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10693 and 61846?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -1336?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (-4)\/(-10)) + (-24)\/40. Suppose k + 1 = 4*b + 2, 3*b - 12 = q. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-6 + 3 + 5 + (-11 - -3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, g: 9, y: 7}. What is prob of sequence agyy?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 52. Sort -5, p, -1.\nAnswer: p, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 1815*p**2 + 86*p + 30. Let d(z) = -454*z**2 - 23*z - 8. Let o(f) = 15*d(f) + 4*h(f). Let i(m) = -15*m. Calculate i(o(k)).\nAnswer: -6750*k**2 + 15*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.99 + -33.99. Let s = 34 + r. Which is the nearest to -0.8? (a) s (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 595 and 4394005.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 26\/3, 3, -18\/13, 5 in increasing order.\nAnswer: -43, -18\/13, 3, 5, 26\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -10*f**2 + f. Let d be j(-5). Let i = 373 + d. What is the remainder when i is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 16*c - 31. Determine p(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4046 < 4020?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1698)\/(-4)*36\/(-54). Let j = b - -980. Let p = j + -418. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + t - 2. Let o be n(0). Let b be 1 - o*(3 - -421). Suppose -4*p = 4*c - 848, -c - 3*c - 5*p = -b. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -2964, 6, 66, -2.\nAnswer: -2964, -5, -2, -1, 6, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 + 12 - 13*p**2 - 10 - 3*p**2.\nAnswer: -12*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8437842 centimeters in meters?\nAnswer: 0.008437842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, r: 4, d: 1, e: 3, i: 1}. Give prob of sequence jd.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 - 4*r**3 - r**2 + 5*r**3 - 3 - 11*r**4 + r - 4*r**3 + 4 to y*r**4 + i*r**2 + o + f*r + h*r**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m + 34. What is the least common multiple of v(4) and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69831011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5\/7 + l**4\/7 + l**3\/7 - l**2\/7.\nAnswer: -l**2*(l - 1)**2*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -306 + 90. Let b = -162 - d. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1512? (a) 12 (b) -4\/13 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a meter in centimeters?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 16, -583*m = 3*o - 584*m - 44. Solve 4*d = -q + 15, -o*q + 17*q = -25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -349*q - 4880. Give p(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*x = -2 - 20, 2*x - 5 = 5*g. Let z be (-17)\/(-3) + g\/(-9). Suppose 28 = -2*h + z*h. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -4, -181 in decreasing order.\nAnswer: -3, -4, -5, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 2*o - 5*o + 9*o)*(-8 - 6 + 233*o - 238*o).\nAnswer: -50*o**2 - 140*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 - 2*n**2 - n**3 + (-2*n**3 - 3*n**3 + 4*n**3)*(1 + 2 - 2) + 9*n**3 - n**3 + 0*n**3 + 3*n**3 + 3*n**3 - 2*n**3.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 9*o. Let v be b(-4). Suppose 1 = -4*w + 5. Let j be (1 - 2)\/(w\/(-8)). What is the highest common divisor of v and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(2 - -1) - 2. Suppose g**m - 14*g + 12*g**2 - 6*g**3 + 0*g**4 + 6*g = 0. Calculate g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -121.6 + 122. Which is the third biggest value? (a) 14 (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14757*n**6 - 7954*n**2.\nAnswer: 1770840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8551 and 425?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*f + 12. Let n = 1 - -1. Solve n*j - f = 3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/15 and -68\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 4288\/811 and 4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 362 + -133. List the prime factors of o.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -30, -7, 2\/7, 1\/75?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 6. Calculate the remainder when 20 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008736337 to five decimal places.\nAnswer: 0.00874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 13*s**3 - 2*s**2 - 13*s + 14*s + 3*s**3. Let v(m) = m - 8. Let z be v(9). What are the prime factors of r(z)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6172*x - 67778. Give q(-11).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -98*r**2 + 27. Let m(a) = 34*a**2 - 10. Let u(t) = -8*m(t) - 3*q(t). Let w(h) = 34*h**2. What is w(u(k))?\nAnswer: 16456*k**4 - 1496*k**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8369853.\nAnswer: 3, 2789951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1173*m + 299*m + 284*m + 290*m + 293*m.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, v: 4, q: 4}. Give prob of sequence vvv.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 73185)*11\/(-3). Is (y\/(-132))\/((-1)\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(1404\/533) + -5*1.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 11. Suppose b*d + 4*l - 18 = d, 15 = 5*d + 4*l. Let o be d*4\/(12\/(-21)). What is the highest common factor of 35 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04+503245320\nAnswer: 503245320.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33501505.\nAnswer: 5, 61, 109841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from rjrrjdrajnjrrrrjr?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -13*m. Let h(q) = q**2 - 4*q - 3666. What is h(u(z))?\nAnswer: 169*z**2 + 52*z - 3666","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388494 at most as big as 17.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-620)\/(-10) + (-1 - -1) + 2. Calculate the highest common factor of a and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -71, 1, -1, 36 in ascending order.\nAnswer: -71, -5, -1, 1, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -293*0.005.\nAnswer: -1.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2413?\nAnswer: 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -14 - -8 - 3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/5 + 422889*h\/5 - 845774\/5.\nAnswer: -(h - 422887)*(h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -2\/28065761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -41, -177, -313, -449, -585?\n\"Answer: -136*j + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -55*t**3 + 6*t**2 - 12*t - 12. Let z(x) = -x**3 + x**2 - 2*x - 2. Calculate -a(r) + 6*z(r).\nAnswer: 49*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 34765.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16, -0.2, 0.02, 183839?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48691 is divided by 1803.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 620 a factor of 239321107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 411*s + 90. What is the units digit of m(-41)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 12091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2029 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 2443705?\nAnswer: 2443703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7351619.\nAnswer: 11, 31, 21559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j**2 + 2*j. Let d = -147 + 151. Let x be (12\/28)\/(40\/(-280)). Let w(o) = -5*o**2 + 3*o. Calculate d*v(s) + x*w(s).\nAnswer: -5*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-15)\/160*4*38\/171)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -24*h - 14. Determine p(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -u + 2. Let l be ((-18)\/15)\/(15\/(-50)). Suppose 3*a + 42 = 5*a + 2*k, l*a - k - 64 = 0. Calculate the remainder when a is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 33. Calculate the highest common divisor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 18. Let m = -116 + 100. Let x = z - m. Solve 2*f = 3*v - f + 18, x*f = -v + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 16) in base 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18, -523, -1966, -4755, -9334, -16147, -25638?\n\"Answer: -74*c**3 - 7*c**2 - 2*c + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-100524 + 41875 + 45397)*(2*n**3 - 2*n + 2*n) to the form z*n**2 + w*n**3 + q + g*n and give w.\nAnswer: -26504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9}. What is prob of sequence yy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, 29, -11?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -860*h - 3864*h - 1490*h to d*h + i and give d.\nAnswer: -6214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4*(sqrt(19) + 2*sqrt(19) + 2)*5 - (sqrt(38)\/(-2*sqrt(2)) + (sqrt(171) - -2*sqrt(171))\/sqrt(9) + -5))*5)**2.\nAnswer: 129375*sqrt(19) + 6484375\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p + 58. Let z be x(20). Let o be (-2)\/7 + 114\/z - 1. Is o <= -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -20*y + 14*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 29.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3818029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1212 (base 5) to base 4\nAnswer: -2312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 - (244 - -2)\/(-3) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81040?\nAnswer: 2, 5, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30809811?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 15*l - 40 = 0. Which is the nearest to -1? (a) -1 (b) -0.5 (c) -2\/9 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -165*l - 84. Let y be v(-5). Calculate the highest common divisor of y and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-36) + (-75)\/(-27). Solve -3 = 3*g + i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103607657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/5 - 1963*l\/5 + 130686\/5.\nAnswer: (l - 1894)*(l - 69)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -17100845*w**3 - 38295*w**2 - 22977. Let p(i) = 17863*i**3 + 40*i**2 + 24. What is 8*m(k) + 7659*p(k)?\nAnswer: 5957*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*p + 4*i - 6, 5*p - 5*i = 0. Let n(w) = 2*w**2 - 2*w**2 + 3*w**2 - 4*w**p. Let c(v) = v**2. What is c(n(g))?\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 624648331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 51. Let u(i) = -133*i**2. What is u(x(l))?\nAnswer: -133*l**2 - 13566*l - 345933","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 121*i**2 - 274*i**5 + 872*i**5 - 140*i**4 + 159*i**2 - 300*i**5 - 140 - 5*i - 303*i**5 + 10*i**3 = 0.\nAnswer: -28, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 8*r - 22. Let h be c(5). Let d be (-4)\/6*6 - h. Let a be 2\/((6*-1)\/d). Let g(k) = 3*k**2. What is g(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 8370952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 763, 3042, 6851, 12196, 19083, 27518?\n\"Answer: q**3 + 759*q**2 - 5*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 359*t + 420*t - 1203*t + 371*t.\nAnswer: -53*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/21 + (-368)\/(-14). What is the highest common factor of 13 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 3:35 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 71.33 in 15, -2\/35, -2?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -15, -27, -53, -99, -171, -275?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -21*w - 38. Let b be r(-2). Solve b*p + 17 = 5*k, 0 = 5*p + k + 2 - 17 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 2 - -1)*1. Suppose h*q = 20 + 10. What is the remainder when 22 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8754466 is divided by 547149?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + -5 - (-5)\/1. Suppose -q - 2*r + 51 = 0, -w*q + 4*r + 192 = -0*q. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6\/5, 11.3 in increasing order.\nAnswer: -5, 6\/5, 11.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*x - 12, -x = -3*x + 4*v + 6. Let f(l) = l**2 + 5*l - 4. Let p be f(x). Which is the biggest value? (a) 2 (b) 5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**2 - 44475*j + 163720998 = 0?\nAnswer: 6803, 8022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.77 + -3.59. Which is smaller: -9 or m?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 0.1. Suppose 5*v + 14 + 12 = -4*j, -4 = -4*v + 3*j. Let w = -13.9 + 14. What is the closest to w in v, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 5*t + 23 = 3*q, 3*t = -6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9493 = u - 582*b - 3678, -5*u + 14*b - 26*b = -11*b - 35 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125\/50*45\/(-13275).\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (184\/16 + -10)\/5\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386 is divided by 81.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13 + 3)\/(1 - 0). Let d = 124 + j. List the prime factors of d.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1369)\/(-259) - (4 + 1). Sort 4, z, 11\/4, -0.5 in descending order.\nAnswer: 4, 11\/4, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/12*(-8)\/2. Solve -g = -v + s, -24*v + 23*v + 2 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 190 + -3*(-240)\/(-36). What is the highest common factor of g and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 2*s = 49, -2*n + 4*s - 40 = 3*n + 13 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + h - h)*(-25*h**3 + 4*h - 30*h**3 + 22*h**3) to b*h + x*h**4 + k + f*h**2 + r*h**3 and give x.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25.5 + 27.5. Let i = k - 2.4. What is the nearest to -6 in 1\/4, -2\/13, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2057 - 2057. Let s(u) = u**3 - 6*u**2 + 6*u. Let k be s(5). Let d(a) = a**2 - 5*a + 6. Let y be d(4). What is the closest to y in k, c, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -255430 (base 7) to base 15\nAnswer: -e151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znvvzvnvxnoozn. Give prob of sequence xnz.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i. Let j(w) = 232*w + 790. Let y(r) = -211*r - 790. Let n(b) = 10*j(b) + 11*y(b). What is n(m(c))?\nAnswer: 4*c - 790","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-103677)\/962715)\/(14\/(-13)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + y + 1. Let p be n(1). Let j(a) = -a**3 - 2*a**2 + 1. Determine j(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3210 + 2?\nAnswer: -3202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16773583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, k: 1, m: 1, f: 1, g: 5, h: 3}. Give prob of picking 2 g and 1 k.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -29*c. Let i(f) be the third derivative of -f**5\/30 + 3*f**2. Calculate q(i(n)).\nAnswer: 58*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*v = -60, -5*h + 3*h - 4*v - 6 = 0. Let w = h - 4. Suppose 0 = w*s - o - 254, 4*o = -s - o + 58. Is s 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 33348 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/210*-10*(-55)\/20*306\/(-187).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11 - 16\/(-4))*-1. Is 0.07 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-3)\/(12\/(-8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xzbamnx. What is prob of picking 1 x, 1 b, 1 z, and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/243684 and -145\/1134.\nAnswer: 2193156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 20 = 4*w, 3 = -4*r + 2*w - 7 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31.66 - -31.88. What is the second smallest value in f, -2\/5, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 a when three letters picked without replacement from {a: 8, u: 3, x: 1, b: 4, m: 1}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2 - 39*q + 220 = 0. What is q?\nAnswer: -44, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 22 = 74. Let z(b) = g*b - 8*b - 9*b. Let y(q) = -3*q**2. Determine z(y(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10502791549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 448 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*j - 236 = -4*d, 0 = -3*d - j + 187. Let i = -13 + d. Is 24 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-16))\/(1\/(-10)). Suppose 548 = 2*w + 4*x, h*w + 2*x + 2*x - 1358 = 0. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4372 + -5?\nAnswer: 4365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(1\/4)*p*p**(7\/3)*(p**(-1\/5)\/p)**47 assuming p is positive.\nAnswer: p**(-3139\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2199 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 6. Let c(n) = n**2 + 13*n - 4. Let k be c(-9). Let h be (-3)\/(-2*(-15)\/k). Solve -h = 4*x - 4*d, x = 3*x + u*d - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*q**2)*(3 + 1 - 5) - 4*q**2 + 4*q**2 + 2*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -118*z - 8253. Calculate r(-70).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 11. Let d be (0 - 2)*(-123)\/(-82). Does 4 divide f(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 16974?\nAnswer: 16975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + 6 + (-1 - -10) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3940283 to the nearest integer?\nAnswer: 1985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 600 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*d**3 + 7 - 23 - 2*d**2 + 0 + 2*d**4 + 6 + d + 9 in the form n*d**2 + b*d**4 + o*d**3 + w + k*d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3761 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10305 + -8965. What is the highest common divisor of 60 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 equal to 0.044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105 + 5*v + 10*v + 206 + 279 - 7*v - 189.\nAnswer: 8*v + 401","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -436 or -434?\nAnswer: -436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = -3*r - 3129 + 3156, -3*z - 2*r + 25 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6284.2441 rounded to the nearest 100?\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**5 + 2454*o**4 + 9765*o**3 - 2454*o**2 - 9768*o = 0.\nAnswer: -814, -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*x**3 - 47*x**3 - 45*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -13.6. Let k = 0.4 - j. Which is the closest to -4? (a) 2\/17 (b) k (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -107\/12571?\nAnswer: -107\/12571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 165, 698, 1587, 2832, 4433, 6390, 8703?\n\"Answer: 178*d**2 - d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-34)\/12)\/(((-4)\/18)\/(428\/(-153438))) and 45\/14.\nAnswer: 3346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c - 2*c - 4*c. Let g(w) = 11*w**2 + 4*w**2 - 8*w**2 + 5*w**2 - 7*w**2. Give n(g(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + i - 3. Let x(f) = f**3 - 5*f**2 + f. Let l be x(5). Let v(t) = 2*t**2 - 3*t + 7. Let b(q) = l*p(q) + 3*v(q). Is b(-5) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7689 and 6?\nAnswer: 15378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 270 - 243. What is the greatest common factor of 3051 and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -456537 + 648642. Let b = d + -90090. Suppose 2*p + 3*r = -0*p - b, -50990 = p - 2*r. What is p rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83 + -169\/2. Suppose 4*k + 178 = -22. Let z be (1 - k\/(-54))\/((-74)\/(-111)). Which is the third smallest value? (a) -1\/7 (b) t (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**2 - 3*y + 5. Let q(d) = 2*d**2 - d + 2. Let g(a) = -2*i(a) + 5*q(a). Let u = 7 + -9. Is g(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 2:20 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4}. What is prob of sequence tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (130\/(-325))\/(40\/(-1500))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.19 + -0.59. Which is the fourth biggest value? (a) -3 (b) -0.2 (c) r (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*y + 22. Let k(a) = -a - 13. Let i be k(y). Which is smaller: i or 0.02?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -921 - -923. Let g(x) = 3*x**2 + 4*x + 2. Let s be g(-2). What is the third derivative of -15*y**w + 266*y**3 - 266*y**3 - 21*y**s wrt y?\nAnswer: -2520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**2 - 9*f + 7. Let c(x) = 4*x**2 - 10*x + 7. Let p(b) = -2*c(b) + 3*g(b). Let y be p(6). Let z be (1\/(2 - y))\/(-6). Which is greater: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8\/10)\/((-13)\/(-780))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 215*n + 1459. Calculate m(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + 2*c**3 + 0*c**3)*((2*c + 2*c - 2*c)*(0 + 0 - 2) + 1022*c - 416*c + 542*c).\nAnswer: 1144*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8705.884 - -8700. What is o rounded to one decimal place?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 3. Let q be o(-11). Let l be ((-6)\/q)\/(-4 - -1). Which is smaller: 6\/11 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3662\/3)\/(52\/1482) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 8:06 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 1)*(2*s - 3 + 3)*(2 + 0 - 4 + 1 + 1 - 4 + (0 + 1 + 0)*(5 - 4 + 1)) as g + b*s and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 83803094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*z + 202 + 15*z + 8*z - 207.\nAnswer: -7*z - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -9*d + 21. Let k = -3 - -3.1. Which is the nearest to -2? (a) d (b) 1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -601, 2\/13, 640\/7, -2\/3 in ascending order.\nAnswer: -601, -2\/3, 2\/13, 640\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -17. Let h be (-2)\/3 + (-20)\/w. Let j(d) = -2*d**3 - 2*d**2 - 3*d - 3. What is the units digit of j(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 108 and 106 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 395111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 1105?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**4\/2 - 3561*t**3 + 46110*t**2 - 166503*t + 247905\/2 = 0 for t.\nAnswer: 1, 5, 7, 2361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12104843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*h - 3*b + 35988, h + 18009 = -3*b. Round h to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38791980 and 3232665?\nAnswer: 38791980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.9 + 4. Let u = 2.4 + z. Put -4\/3, u, 8 in descending order.\nAnswer: 8, u, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 79. Let o = -37.63 + h. Round o to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*r**2 + 5*r**2 + 5*r**2 + 13 - 6*r - 9*r**2 + 4.\nAnswer: -34*r**2 - 6*r + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from yxxx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -85276.148 + 201?\nAnswer: -85075.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -15.7. Let q(z) = z**2 - z - 3. Let t be q(4). Suppose 7 = 5*f - b, b - t = -f + 5*b. What is the nearest to f in a, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -312?\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-91))\/(39\/(-21))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98344976 to the power of 1\/3, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 54689*w - 218735. Calculate a(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/9 - (-9)\/(-81).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1869 and -8.\nAnswer: 1861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -1109819?\nAnswer: -1109819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -52.19.\nAnswer: 20.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -1658*p + 6671. What is w(4)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 2.0009. Let m = -3.4 - -3.397. Let y = f + m. Round y to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 4, 2\/19, -3\/4, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*a - 3*g + 3, -4*g + 16 = a. Let f be 3*a\/9*3. Suppose 4*p - 5*w = 115, -f*p - 2*w + 39 = -111. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 22*s - 3045. Suppose 9*q - 4*w - s = 6*q, -44 = -q - 3*w. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - f = -q - 39, -12 = -4*f. Let p be -3 - 1\/(q\/45). Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - 5*u + u)*(3 - 4 - u + 3) to the form z*u + j + n*u**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hunnkuhaxhuk. Give prob of sequence axnk.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(52)\/sqrt(4) - (-1 + sqrt(52)\/sqrt(4))**2.\nAnswer: -13 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -22.9. Let o = -29.7 + 31. Let y = o - 0.3. Which is the nearest to y? (a) 5 (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1873 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -82.1?\nAnswer: 80.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 5*s**2 + 5*s - 2. Let p be k(4). Suppose -p*y = -2, -2*v - 3*y + 10 = y. Calculate the remainder when 10 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306 and 35037.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/29, 2\/21, -0.4, 0.82, -3 in decreasing order.\nAnswer: 0.82, 2\/21, -4\/29, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-80)\/(60\/31 - 2) - 3. Find the second derivative of -j*k - 18*k**3 - 7*k**3 + 1203*k wrt k.\nAnswer: -150*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/(-4)*(-2)\/1. Suppose 2*y + 5 = x - 0, -x + y = -m. Calculate the remainder when 25 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 0, 26, 98, 240, 476, 830, 1326?\n\"Answer: 4*a**3 - a**2 + a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/291875 and -103\/110328750.\nAnswer: 110328750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1359575 is divided by 11236?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + i**2 - 10*i - 12. Let g(v) = -v + 3. Let y be g(8). Let o be p(y). Suppose 81 = 2*f - 5*r - o, -4*f + 496 = 4*r. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(-2\/97)\/(g*g**0*g)**25*((g\/(g**(-1\/2)\/g))**(-11))**27 assuming g is positive.\nAnswer: g**(-153749\/194)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 2, 1\/9, 1, 1.6?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23662 is divided by 599?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3049 = -954. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*d**4 + 61*d**4 - 42*d**4 + (3 - 3 - 2*d)*(4*d**2 + 2*d**3 - 4*d**2).\nAnswer: -36*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-3))\/((-13)\/234). Let q = 3 + 7. Let p(m) = q - 7*m**2 - 7*m + k*m**2 + m. Calculate p(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*k + 20*k + 15*k.\nAnswer: 52*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 10*a - 7. Let c be o(8). Calculate the greatest common factor of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -5.5. Let t = 7.88763 - -0.11237. Which is the nearest to 0.5? (a) 4 (b) q (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76 + -6. Suppose -s = 2*f - 4*f + 5*c, 4*f = 2*c + 108. Suppose -f = -2*y - 7. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2209 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85799517 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7\/4 - 17\/12. Suppose 5*r - 2 = 23. Sort u, -2, r.\nAnswer: -2, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 - 40. Let h(t) = t + 2. Let g be h(5). Let y = i + g. Calculate the remainder when 9 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 g when two letters picked without replacement from lgomaaahglohog.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 - -149372?\nAnswer: 149360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 3:44 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -143*q**3 - 155 wrt q.\nAnswer: -429*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 803 + -799. Solve o*w = -7 - 9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110965824.\nAnswer: 2, 3, 383, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.2. Let k = 0.187 - -0.113. Put k, v, 0.09 in increasing order.\nAnswer: 0.09, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j - 3*a = 0, -j - a = -2. Let o be 2 - ((-3)\/(-1) + -3). What is the third derivative of -2*p**3 - o*p**3 + j*p**3 + p**2 wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3329*r - 172. Let n(f) = 3*f + 4. Let l(m) = 9*n(m) + s(m). What is the derivative of l(v) wrt v?\nAnswer: -3302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - (9 - 12)) + -49 + 34.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -3. Let d(o) = -o**3 - 6*o**2 - 12*o - 31. Let z be d(-5). What is the second derivative of -2*i + 2 - n*i**z - 2 wrt i?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 89204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21830179*a*i**3 - 2*a*i**2 + 33928*a*i - 21*a wrt i.\nAnswer: -130981074*a*i - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 3\/11 (c) 1929.2212\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.74 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26790 - -1060.7717?\nAnswer: 27850.7717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.61 + 8.51. What is the third biggest value in 5, b, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -7. Let s(u) = -u + 5. Let b be s(5). Suppose 2*p + b*p - 14 = 0. Solve -p = a*v + 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -1 + 5*w**2 - 1\/3*w**3 + 6*w. Is d(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3036\/(-759)*(2 - 6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**2*i**2 + g**2*i + 118*g**2 + 105*g*i**2 + 11*i**2 wrt g.\nAnswer: 8*i**2 + 2*i + 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.026*3.\nAnswer: -0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y - 5875 = 5*b - 5786, -5*b = 50 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8803 equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 31 + 14 = 0. Let s be u\/(-4) - 1\/(-4). Solve -2*a + 22 = -s*k, -3*k - 10 = 7*a - 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 27*r - 212 = 0. Let y = r + -45. Let z = 29 - 21. What is the greatest common divisor of z and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -779, -1529, -2279, -3029?\n\"Answer: -750*q - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 t when three letters picked without replacement from {l: 3, t: 3, j: 5, a: 2}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*u**2*x**4 + 3091009*u**2 - 7874*u*x**4 wrt x.\nAnswer: 104*u**2*x**3 - 31496*u*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*u = 25771 - 25837 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.4695 + -1161.4305. Let b = 1105 + i. What is b rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 18309*l**2 + 600*l + 2377. Is i(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964662?\nAnswer: 2, 3, 43, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 44. Let j(c) = -3*c**2 - 3*c - 1. Let b be j(w). Let k(z) = -18*z + 6. Is k(b) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**5\/60 - s**4\/12 + s**3\/3 - 171*s**2. Let b(j) = 1. Give 4*b(k) - l(k).\nAnswer: -k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/4)\/(1\/20). Suppose -3*x + 4*x + 9 = 0. Let l = -7 - x. Solve 0*f - 2*f = l*y - h, -15 = -4*f - 3*y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -17, 0.44, -0.6, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -234 + 239. Solve i - y + 2*y - n = 0, 3*i = -2*y + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 10*q - 7*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 490.427 nanometers to millimeters.\nAnswer: 0.000490427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - x + 47 = 0, -1062*b + 6*x + 109 = -1057*b. Let w = 72 - 43. Solve 5*n = -u - b, -9 + w = -2*n - 4*u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88882 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -14*r - 54. Suppose -28*l = -26*l + 8. Let q be x(l). Solve -q*f + 5*f = -12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321*c + 5 - 83 + 329*c + 78.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = 5*w + 2*s, 5*s - 2 = -3*w. Let j(c) be the third derivative of 3*c**5\/20 + c**3\/6 + 2*c**2 - 19. Is 4 a factor of j(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*m + 675 = -50*m - 31*m for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 + 47552*v\/7 + 67960.\nAnswer: -2*(v - 23786)*(v + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 80558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 16*o - 19. Give r(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 528 and -12.7.\nAnswer: -6705.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 * -63341019\nAnswer: -101345630.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, a: 5, f: 7, o: 6}. Give prob of sequence om.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + 0. Suppose 0 = 6*n - 2*n - k. Suppose -2*o = 2*o + 20, 0 = 5*q - n*o - 425. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/290964294 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 5*a + 6. Let f be o(-5). Suppose f*r - 2*v = 3*r + 55, 5*r - 80 = v. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1024))\/(sqrt(72)*-2).\nAnswer: -16*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 4. Let u(b) = 4*b - 166. Let j(m) = 2*r(m) + u(m). What is the common denominator of -89\/6 and j(29)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 5*t - 15. Suppose s - 3*s + 5*q = -t, s + q + 10 = 0. What is the tens digit of 4\/s*(-25)\/(-10)*-7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 154*b + 638. Determine g(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*d - 2*j + 232, 0 = -3*d - 2*j + 173. Let y = -39 + d. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 - 236*d**3 - 680*d**2 - 448*d.\nAnswer: -4*d*(d + 1)*(d + 2)*(d + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1748.57 to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -112*f*q**2 - 1845*f*q + 10*q**2 + q wrt q?\nAnswer: -224*f + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**6\/40 - h**5\/30 + h**4\/24 + h**2. Is 10 a factor of d(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + -45. Solve 3*o + 0*o = 3*g + 18, y*o = g + 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18839 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -132 + 167 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2 = -x. Let t be -3*(x + -3 + 0). Let f be (-2 + t\/2)\/1. Which is the nearest to 2\/3? (a) f (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 4, -1\/4, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((-5)\/10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2845*z + 2852*z + 21. Let t = 0 + 0.02. Let q = t + -0.02. What is the second biggest value in -4, z, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 48260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-22) - -18*27590\/(-26433).\nAnswer: -55\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -311.020518 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 838.7336768 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - (sqrt(243) + 0)*-3)**2*-3.\nAnswer: -11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4736000 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4*p + 664, -8*a + 709 = -4*a + 5*p. What is the greatest common divisor of a and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 6) + 50 + -29. Calculate the highest common factor of 2041 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 9:18 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3039 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 23.3. Which is the second smallest value? (a) m (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 4*i**2 + i + 1. Let z be x(4). Suppose -2*h + 53 = -5*u, z*h + 4*u = u + 148. Find the common denominator of h and 365\/(-30) - 2\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2022 and 3.\nAnswer: -6066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31346818.\nAnswer: 2, 59, 421, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**3\/3 - 1136*k**2\/3 + 208010*k\/3 - 4132300 = 0.\nAnswer: 155, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -333144 (base 5) to base 15\nAnswer: -36d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*q - 2 = -6, 4*g + 3*q - 52 = 0. Calculate the greatest common divisor of g and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1230 = -2*o + 3064. Calculate the highest common divisor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69286, -20, -1, 3 in increasing order.\nAnswer: -20, -1, 3, 69286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(15)\/(sqrt(147)*-1) - (-1*(-5 + 2 + sqrt(5)*2))**2)*2.\nAnswer: -52 + 166*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p - 12. Let q be 15\/2 + (-3)\/6. Let y(b) = -b - 8. Let m(i) = q*y(i) - 5*z(i). Differentiate m(o) wrt o.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 176074481693 + -69594319261980509\/395255. Let t = -48\/3437 + m. Let r = 3027\/230 + t. Calculate the common denominator of r and 10\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllilillilllli. Give prob of sequence llil.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2\/5 - 195687032*j - 23933384058105640 = 0.\nAnswer: -244608790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -374, 233, 1216, 2569, 4286, 6361, 8788?\n\"Answer: -x**3 + 194*x**2 + 32*x - 599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**5 - 6357*j**4 + 2603*j**2 + 2*j + 8?\nAnswer: -60*j**2 - 152568*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 + 8*w**2 + 4*w**2 - 7*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -462 - -733. Suppose -5*t + 1002 = 4*q - 182, -q + i = -5*t. What are the prime factors of q?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 184*t**3\/3 + 142*t**2 + 116*t. Differentiate x(j) wrt j.\nAnswer: 368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 324*t. Let f(b) = 15*b**2 + 70*b + 6. Let m(k) = -105*k**2 - 525*k - 45. Let w(l) = -45*f(l) - 6*m(l). What is j(w(a))?\nAnswer: -14580*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 885 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 6*k**4 + 8*k**3 - 18*k**2 - 36*k - 16 = 0.\nAnswer: -4\/3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o - 2*o**4 + 2*o + (-o**2 + 2*o**2 + 0*o**2)*(2*o**2 + 2*o**2 - 3*o**2) + 912 + 71*o**4 - 912 to g*o + z*o**4 + y + d*o**3 + k*o**2 and give z.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -115.5 - -115.424. Let i = -21.955 - -22. Let j = z + i. Round j to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 36*q**3 + 1632*q**2 - 1100*q + 184 = 0.\nAnswer: -46, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 5*c + 3*c)*(2 - 2 - 2*c**2) + 26*c**3 + 45*c**3 - 137*c**3 + (-5*c + 5*c + c**2)*(3*c - 2*c + 0*c).\nAnswer: -63*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-10)*3)\/(15\/50). Which is the third smallest value? (a) 0.1 (b) -0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.35 - 0.35. Let u = -14.9 + l. Let r = u + 3.9. Which is the closest to 1? (a) -1 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000667 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 12:23 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.42 + -3. Let s = q - -0.04. Let f = s + -0.66. What is the third smallest value in 3, -2\/5, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5319.742 micrometers?\nAnswer: 5.319742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 9:50 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 598 + -4198\/7. Put k, 1\/4, -11\/4 in decreasing order.\nAnswer: 1\/4, k, -11\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*u**5 + 243*u**3 - 6*u**2 - 29249*u - 60 wrt u?\nAnswer: -980*u**3 + 1458*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 - 23 - (-16 - -10 - -5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 474 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a century in months?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 - j + 1. Let y = -320 - -317. What is q(y)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 - 55*d**2 - 1 + 265*d**2 to f*d**2 + j*d + p and give f.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -9*a - 81. Let n be c(-13). Is n less than or equal to 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 16) in base 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9}. What is prob of picking 3 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tfffnfnnfntnffff. What is prob of sequence nfn?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d - -52d82?\nAnswer: 52d64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-10)*(-22)\/((-1408)\/(-160))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16564278613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 13 = 7, 5*o = 5*f + 5. Let s = 50 + -43. Calculate the smallest common multiple of s and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 207*x**2 + 617*x + 3307. Give v(210).\nAnswer: 577","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 135639197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369 = 10*y - 301. Let u = 80 - y. What is the remainder when 38 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 4*k + 611 = 612, -2*l + 4*k - 6 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*x**6 + 90*x**4 - 8509*x**2?\nAnswer: -5400*x**3 + 2160*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a4 - 5?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.02*-4.3.\nAnswer: 4.386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 11 = -u. Let v = u - 39. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + -4 + 3 + 0 - 3. Suppose -q + t + 10 = 0. Let d(f) = 11*f**3 - 2*f**2 + 4*f + 4. Is d(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.856752ms in microseconds?\nAnswer: 6856.752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 613 (b) -228.8 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*q + 1. Let v be 1\/(-2)*2 + 11. Suppose -q*b + 8 + v = 0. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t\/t**22))\/t)\/t**(3\/26) assuming t is positive.\nAnswer: t**(517\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*-2*sqrt(175) - sqrt(175)) + sqrt(175))**2 + sqrt(175) - (sqrt(175) - (sqrt(175)*2 - sqrt(175))**2)*6)*4.\nAnswer: -100*sqrt(7) + 15400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*h - 16 = -3, -16 = -5*v - 2*h. Suppose -4*q = -v*q. Let m be ((-6)\/(-5))\/(18\/(-60)). Put q, 3, m in increasing order.\nAnswer: m, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d - 20253 = -4*y + 21*d, 0 = 2*y - 4*d - 10154. List the prime factors of y.\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2378474417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2902543145?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/225 and -157\/270?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152 = -6*o + 2*j, 3*o = -35214*j + 35212*j + 152 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 15, n: 5}. What is prob of sequence nxn?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1187 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.7 + 16. Which is the biggest value? (a) 2 (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**2\/2 + d. Let f(r) = r + 3. Let c = -4 + 3. Let u(q) = c*k(q) + f(q). Give u(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 6*b + 3. Let h be z(6). Suppose 4*i - h*s - 117 = 55, -196 = -4*i - 3*s. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53.2 + -56.11. Round h to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 times -46?\nAnswer: 3864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1082, 0.014, 2?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21120 (base 3) in base 7?\nAnswer: -411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 65043 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*f + 18, 3*l + 3*f + 7 = l. Suppose 3*v - 1 = -2*b, 2*b = b + l*v + 17. Suppose -63 = -4*d + b. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 213507.3.\nAnswer: 213503.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((-273)\/150)*(-231)\/(-2310)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a week in hours?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (207\/276)\/(4\/((-16)\/(-3)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/15)\/((-3)\/(-165)). Let m be -2 - 144\/z - 13\/11. Is (m - 2 - 2) + 403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-28)\/(-3)*4\/16*6. Solve -7*z + 2*z + 17 = g, -4*g = 2*z - q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3)\/(-2))\/((-129)\/(-120056))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 144*z - 2982 = 0 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58992 is divided by 2949.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 15 + (-12 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**4\/12 + b**3\/2 - 11*b**2\/2 - b. Suppose 13*p = -7 + 72. What is the tens digit of q(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 1. Let m(d) = d**3 - 4*d**2 - 4*d + 2. Let j(b) = -m(b) - 5*x(b). Is j(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 10*b**2 - 27*b + 8. Determine u(12).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 11:56 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - y**2 + 7*y - 1. Let b(g) = 34*g**5 + 13*g**3 + 27*g**2 - 1599*g + 10. Let a(t) = b(t) + 11*l(t). What is the second derivative of a(h) wrt h?\nAnswer: 680*h**3 + 12*h + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 845495.372 + -848467. Let b = p + 2966. Let n = b - -1.098. Round n to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32335496 divided by 16167748.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1321248926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + (-1353)\/861?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 277, -6 in descending order.\nAnswer: 277, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10*(0 - 16\/(-20)). Solve -5*q + 29 = p, -o*q + 2*p + 12 = -4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 1:23 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 90728 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -d + 2*d + 22, -2*m + 3*d + 46 = 0. Solve 2*n + 3*n = -m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 9*u + 24. Let d be 3\/((-7566)\/1515 - u). Let k = d - 304. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50 - -20333513?\nAnswer: 20334003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u + 17. Suppose -a - s = 23, -4*a + 0*s + 3*s - 85 = 0. What is the least common multiple of (2*3\/(-15))\/(a\/385) and d(6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59357*z - 59484*z = 8001 for z.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*p + 8*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 8*o**2 - 13*o + 6. What is w(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 725*i - 766*i + 410 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 141 + -140.9. What is the smallest value in r, 0.2, -35, -0.5?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)*2*6*5)\/(-2*(sqrt(7) + sqrt(21)\/(sqrt(9)\/sqrt(3)) + sqrt(35)\/(sqrt(10)\/sqrt(2)))).\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10972000 to the nearest 100000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*c + 5*h - 142, 32 = c + 2*h. Suppose -152*n + 153*n = c. Calculate the remainder when 88 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2376 and 117920.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 979 + 398. List the prime factors of w.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 0 - 1\/6*p**3 + 8*p + p**2. What is b(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 - q**3 - 17 + 89*q - 18*q.\nAnswer: -2*q**3 + 71*q - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/7)\/((s**7\/s)\/s) assuming s is positive.\nAnswer: s**(-34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6 + 14*l + 0*l - l. Let f(s) = -s + 1. Let y(u) = -6*f(u) - g(u). Let c(w) = 4*w. Let q(x) = 5*c(x) + 3*y(x). Let a(m) = -3*m**2. Determine q(a(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b - 7. Let c(g) = g + 14. Let w(k) = 2*c(k) + 5*f(k). Let t be w(-6). What is the greatest common divisor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2927533, 2927542, 2927555, 2927572?\n\"Answer: 2*j**2 + 3*j + 2927528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -10869?\nAnswer: 10871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -247887*i*j**3 + 10155*i*j**2 wrt j.\nAnswer: -1487322*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5837 is divided by 530.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 - -54. Let h be 1\/2*(r - 320\/85). Let w = 8 - 7. What is the third biggest value in w, 2\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-2) - (-38 + ((-1652)\/64 - -50))?\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47800.1235 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40345251 (base 6) in base 16?\nAnswer: 1189ff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 19. Let t(q) = -q**3 + 5*q**2 - q + 7. Let c be t(5). Suppose -152 = 4*y - 176. Solve -c*x = -0*x - 5*w - a, -x + y = -2*w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from uwsrkwkyr?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -1817*g**2. Let a(w) = -363*w + 740*w - 383*w. Give a(c(t)).\nAnswer: 10902*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 14 - 44. Suppose 4*r + 2 = -3*v + i, 44 = 3*v - 5*r. Calculate the remainder when 21 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1671277*c**3 + 19*c**2 + 2*c - 22841238?\nAnswer: 10027662*c + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from vvpppnpappapppavcv?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1152)\/63 - -18)\/(2\/(-3))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.984 - 4.984. What is the nearest to -0.1 in g, -4, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 10*m**3 - 30*m**2 - 28*m - 2. Let k(c) = 8*c**3 - 24*c**2 - 29*c - 2. Calculate -5*j(w) + 6*k(w).\nAnswer: -2*w**3 + 6*w**2 - 34*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2708298 and 684.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, u: 4, t: 11}. What is prob of sequence umtt?\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.042717 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (670*x**2 - 978*x**3 - 291*x**2 - 375*x**2)*(3 - 1 - 1 - 3*x).\nAnswer: 2934*x**4 - 990*x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 42 = -9*l - 19*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.997123 minutes to weeks.\nAnswer: 0.00416638125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(3*3\/18). Suppose 2*y - 5*f = 5 - 3, 4 = h*y - 4*f. Solve 5*l = -5*n, 4*l - 3 + y = -3*n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103021 + -231?\nAnswer: -103312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1551, 0.08, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -397525 by 55.\nAnswer: -79505\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 10:41 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/145837004 and 121\/24?\nAnswer: 875022024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 68426, 68415, 68388, 68339, 68262, 68151, 68000?\n\"Answer: -r**3 - 2*r**2 + 2*r + 68427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 5*j + 8, -3*o + 7*o - 2 = 2*j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1001004273?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 165 = -3*x. Let a = 58 - x. Calculate the remainder when 22 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)*1)\/(sqrt(4)\/(sqrt(8)\/sqrt(4)))*6.\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13 + ((-2 - 0)*1 - -1). Let v = 13 - h. Is 14 a factor of (6\/(-12))\/(v\/(-112))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 3*q + 2. Let x be j(-4). Suppose -13 = x*c - 1. Is -4 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 36\/5, 1056?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**5\/5 - 12*u**4\/5 - 4*u**3\/5 + 44*u**2\/5 - 48*u\/5 + 16\/5.\nAnswer: 4*(u - 2)*(u - 1)**3*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*g - 36 = 0, -2*g + 8 = -5*c + c. What is the units digit of 1 + -2 + (-12)\/c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9922711.\nAnswer: 103, 96337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3250 is divided by 70.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from pppppapp.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22092 and 679329.\nAnswer: 2717316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 9:27 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 2\/13, -0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06 - -0.94. What is the second smallest value in -1\/9, 0.05, d?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7920)\/275*(-100)\/(-60)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (156\/(-8))\/(141\/282)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*u + 2*r, 5*r = -5*u - 15. Let z be (0 + 2 - 1)*u. Is z <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161077, 644336, 1449755, 2577322, 4027025, 5798852, 7892791, 10308830?\nAnswer: 13046957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-4\/31))\/(k*k**(1\/16)))\/(k**(6\/13)*k**30) assuming k is positive.\nAnswer: k**(-195987\/6448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*a = 755 - 195, a + 420 = 3*y. Suppose 4*v + y = -v. What are the prime factors of 9\/((-1)\/v*4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*2\/(-20) + (-21)\/105. Let w(j) = 0 - 11*j + q*j - 12 + j**2. What is the units digit of w(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73067785?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2\/9 + 4*y\/9 - 286\/9 = 0.\nAnswer: -13, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 300.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517096297.\nAnswer: 631, 819487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 603090.1 millilitres?\nAnswer: 603.0901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, 29.28, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = x - 21, 5*x - 78 = -5*h - 3. Calculate the remainder when 18 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -5. Suppose 3*t - 15 - 45 = m. Solve i = 2*i - 4*v - t, i - 10 = 2*v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/8)\/(108\/(-32)). Sort 3, d, -4 in increasing order.\nAnswer: -4, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 26*t**2 - 59*t + 84. Let r be y(28). Which is the closest to r? (a) -4\/7 (b) 43 (c) 0 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 4:52 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12, 9, -4, -33, -84, -163?\n\"Answer: -h**3 + h**2 + h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 687390.5 weeks in hours?\nAnswer: 115481604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5 = 0, -3*g - 3 = q - 2*g. Suppose -z - q*z + 42 = -3*u, -49 = -5*z - 2*u. Let i = 31 + z. Calculate the remainder when i is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1345.0000571 + 1345. What is f rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11790, 47164, 106112, 188628, 294706, 424340, 577524?\n\"Answer: -s**3 + 11793*s**2 + 2*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*((-104)\/(-16) + -6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2346901.1 to the nearest 1000.\nAnswer: -2347000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 3*z**2 + z. Let k be i(-2). Let w(y) = -3*y**2 - 13*y + 14. Let u be w(-5). Let b = -0.3 + -0.2. Put b, u, k in descending order.\nAnswer: u, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/(9\/24 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -95*d + 241. Let w(j) = 77*j - 239. Determine 5*w(z) + 4*y(z).\nAnswer: 5*z - 231","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/969*68*1*12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 - 68540*i**2 + 587147904*i + 1174569984.\nAnswer: 2*(i - 17136)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n - 19. Let i(k) = 7*k - 38. Let u(f) = 5*c(f) - 3*i(f). Let l be u(14). Suppose l*t = -t + 258. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 793 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.15045 + 4.9504394. Let a = q - -0.2. What is a rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*h, -3*n - 5*h + 76 = n. What is the highest common divisor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -21880*t - 2223. Is z(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-3 + 4)*-4. Suppose 261 = y*z + 1. What are the prime factors of z?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 17*w**3 + 13*w**2 + 11*w + 13. Let t(z) = z**2 - 2*z. Let g(n) = 8*n**3 + 10*n**2 - 3*n + 6. Let k(d) = g(d) - 4*t(d). Give -13*k(v) + 6*m(v).\nAnswer: -2*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36859)\/123)\/(-29) - (-5)\/(-15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 267 or 166242\/623?\nAnswer: 166242\/623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b = -3*m - 33, -16*m + 2*b - 8 = -12*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -12*k**3 - k**2. Let n(b) = 49*b**3 + 4*b**2 + 1. Determine 9*a(j) + 2*n(j).\nAnswer: -10*j**3 - j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20212466.\nAnswer: 2, 19, 79, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 + 5*s - 2. Let u(r) = 6*r**3 - r**2 + 16*r - 7. Suppose 0 = 3*b + 25 - 130. Suppose -b = 65*z - 60*z. Give z*m(a) + 2*u(a).\nAnswer: -2*a**3 - 2*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**(1\/2)\/m)*m*m*m*m)**(1\/31)*m**(-1)\/m*m**(4\/9)*m assuming m is positive.\nAnswer: m**(-193\/558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 4. Let k be a(2). Suppose 3*l - 15 = k. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (308\/858)\/(-48*(-10)\/(-90))*-8?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, -5280, -2\/7, 1\/5, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9021 + 9021. Solve 31*f + 63*f + 188 = m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 440 and 19640?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w - 9. Let f(j) be the third derivative of -j**4\/4 - 7*j**3\/3 - 7*j**2. Calculate 5*f(v) - 8*h(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 87*n - 98*n - 14 + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 4.2, -40, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 117, -1\/9, -257, 6, -27?\nAnswer: -257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**8\/5040 + z**5\/20 + z**2. Let s(j) be the third derivative of c(j). Let v(m) = 2*m**2. What is v(s(g))?\nAnswer: 32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 10*w**2 - 20*w - 18. Let u be x(6). Solve 110*m = 104*m - u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 212 - 122. What are the prime factors of (3\/(-9))\/((-2)\/z)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 217 + -217.285. Let x = -0.215 + h. Let m = -4 - -1. Which is the smallest value? (a) 4 (b) m (c) x (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 8*q + 1732 = u, -4*q + u + 3470 = 0. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**2. Let j(z) = 2*z**2 + 3*z. Suppose 4*p = p - 21. Let i(g) = -3*g**2 - 7*g. Let w(s) = p*j(s) - 3*i(s). Give w(f(t)).\nAnswer: -125*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-20))\/(580\/725)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 37*n**3 + 21*n**2 + 42 + 26*n - 11 - 36*n**3. Is a(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1602 - -560?\nAnswer: 2362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - i + 41587*i**3 - 20840*i**3 - 20798*i**3.\nAnswer: -51*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446882.\nAnswer: 2, 223441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14209 is divided by 308.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -3*z + 6*z. Let r be 3*(4\/(-12) + (-416)\/(-3)). Let m = r - 261. Calculate the highest common factor of m and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*g = 0. Let s(f) be the third derivative of -f**6\/120 - f**3 + 16*f**2. What is s(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55132799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 784*p**2 + 43*p**2 + 1918*p**2 + 157*p**2.\nAnswer: 2902*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*q + 90 = -1193 + 44 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 221035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 - d**2 + 68*d + 762. List the prime factors of f(-29).\nAnswer: 46727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -9, -0.02, 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1938, -4278, -6624, -8982, -11358, -13758, -16188, -18654?\nAnswer: -21162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.28 (b) -2\/13 (c) 4\/3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38006 and 775?\nAnswer: 950150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/3)\/(g*g*g**(-10)))**32\/(((g**(-4\/9)\/g)\/g)\/(g*g**7*g)*g\/(g**(3\/5)*g)*g*g**(-3\/7)) assuming g is positive.\nAnswer: g**(67454\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.137 and 0.032?\nAnswer: -0.004384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 0*s - 2*s)*(s + s + s)*(1 + 0 - 5)*(s + 2*s - 5*s).\nAnswer: 48*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/4)\/(o\/((o\/((o\/((o\/(o*o*o\/o**(-2\/15)))\/o*o))\/o))\/o)*o*o)*o\/o**14*o*o*o\/o**0)**(-4\/5))**(-12) assuming o is positive.\nAnswer: o**(-3572\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 5*f - 3. Let y(r) = 19 + 3*r**2 - 34 - r + 15 - 2*r**2. Give -h(a) + 5*y(a).\nAnswer: 4*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 11*d + 5. Let p be u(-10). Let r be 10\/p + 1*-2. Let x(l) = -3*l - 6. Let s be x(r). Let h(z) = -z + 14. What is h(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(270) - sqrt(270)*-1) + sqrt(270)))\/(-2*sqrt(6)*1)*3)**2.\nAnswer: 32805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -316*h + 65. What is the units digit of v(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/13)\/z)**31*(z\/(z*z*(z*z**(-2\/23)*z)\/z))**(-3\/13) assuming z is positive.\nAnswer: z**(-10563\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33356 or -33363?\nAnswer: -33356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -82, 2, 62, -110 in decreasing order.\nAnswer: 62, 2, -82, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - -8bee5?\nAnswer: 8c002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22934 is divided by 2548.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 24 = -11*w, 257*w - 260*w = -b - 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 14*k**2 + 282*k. Determine d(-20).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 - 10*c + 2. Let q be t(4). Let h(k) = 14*k**2 - 17. Let v(p) be the first derivative of -5*p**3\/3 + 6*p + 1. What is q*h(u) - 17*v(u)?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -20. Suppose 3*k - o = -5*m, 0 = -4*k + 3*m - 8. Suppose k = c - 4. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 202*l**2 - 991*l - 55. Give v(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Express 359*c - 12*c - 7*c + 4*c as d*c + l and give d.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 314432, 628863, 943294?\nAnswer: 1257725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 53404 and 29893916?\nAnswer: 388620908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 16, 0*r + 5 = -3*d - r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -1 - (-31 - -33) - (-380 - -383).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 404.534926 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3921 - 3921 + d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8029439, -2\/13, -0.1.\nAnswer: -8029439, -2\/13, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 108268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 231498 and 682.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33609 - 5751. Let h(n) = -c + 27858 + 14*n**2. Let z(d) = -15*d**2. Calculate z(h(g)).\nAnswer: -2940*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 34565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 4*l - 20. What is the remainder when i(13) is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -4, -12, -22, -34, -48?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 11\/3*g**3 + 9*g + 1\/4*g**4 + 11\/2*g**2 + 38. What is a(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 41*r**2. Let c(u) = -60*u**2. Give c(z(s)).\nAnswer: -100860*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a**2 + 11*a**2 + a**2)*(2 + 3*a - 2)*(-17*a - 141 + 141) to g*a + t*a**2 + k*a**4 + h*a**3 + l and give k.\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 3:28 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/95*57*5\/15*-5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1175*f - 224*f - 64354 = 0 for f.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 97*n - 70. Give w(98).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -446, -823, -1200, -1577, -1954?\nAnswer: -2331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17410 - -17782. Solve -6 = -z*l + 370*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -100? (a) 0.08 (b) 2\/11 (c) -535\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/50*-20 - 29\/5. Is x greater than or equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - b**2 + 10*b + 2. Let l be k(-4). Solve p + p - l = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37.33 - -38.901. Let y = k + -1.571001053. What is y rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -306511, -306481, -306429, -306355, -306259?\nAnswer: -306141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 12:06 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*18\/4 + 4 - -3. Calculate the common denominator of 37\/10 and u\/(2*(-1)\/12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -3*o + 1, -2*j + 11 = 2*o - 5*o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**2 + 2*k**2 + 2*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 6*q**2 - 4*q + 2. Let v be n(-5). Let m = 17 - 12. Let d be 19\/8 + (261\/72 - 4). Put m, d, v in increasing order.\nAnswer: v, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5879151.18us in weeks?\nAnswer: 0.00000972081875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 4) in base 5?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -123\/14246?\nAnswer: -123\/14246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -0.46.\nAnswer: -0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*k - 4*l, -22*l + 19*l = -24. What is i in 2\/3*i**2 + 4\/3*i**k - 4\/3*i + 0 - 2\/3*i**4 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 2) + -1 + 3. Suppose 5*j + 4 = l*p, 0*j - 4 = j - 2*p. Suppose j = -2*o + 5*o - 15. Calculate the remainder when 22 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 57.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert d365b8 (base 14) to base 16.\nAnswer: 6cb656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002661982792 rounded to five decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 19, 0.3, -9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = -2*f. Suppose -n + 4*h = 2*n - 53, -2*n + f*h = -47. Calculate the common denominator of -23\/11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, a: 7, i: 2}. Give prob of picking 2 i.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10977173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -481 - -807. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 + 10*j - 8. Let q(w) = 4*w**2 - 21*w + 17. Let r(k) = -5*m(k) - 2*q(k). Let i be r(4). Calculate the greatest common factor of i and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scscssscssss. Give prob of sequence cc.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.014 (b) -2\/13 (c) -1\/36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and 536.594?\nAnswer: -6439.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/3*27\/(-6). Suppose -3*g - g + 8 = -u, -3*u + 6 = -2*g. Let x be (-1)\/u - 169\/(-4). What is the highest common factor of m and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*z + 48025 - 48025.\nAnswer: -31*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(22)\/sqrt(2)) - (sqrt(1377) + sqrt(1377) + -2)**2.\nAnswer: -5512 + 73*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x, -4*t + 6*x = 7*x - 24. List the prime factors of (-8876)\/(-12) - t\/(-18).\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -7*d**3\/6 - d. Let m(w) = -3*w. Give t(m(f)).\nAnswer: 21*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*s - 801 + 1603 - 803)*(6 - 6 + 7).\nAnswer: -581*s - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - (-160)\/75) + (-34)\/30. What is the third smallest value in 3\/8, 4, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 213564 - 2082564 = 0. Round m to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112) + sqrt(112) + 0 + -4.\nAnswer: -4 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001231459206 rounded to 5 decimal places?\nAnswer: -0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**4 + 5*s**4 - 3*s**4 + (2 + s - 2)*(-2*s**3 - s + s) + 5*s**4 - 3*s**4 + s**4.\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1)*d*(d\/((((d*d**(1\/9)*d)\/d)\/d)\/d*d)*d)\/d*d*d**0*d**9 assuming d is positive.\nAnswer: d**(98\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.7, 4, -62?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2*g - 4. Let z(b) = 14*b + 3. Is z(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*n - 1877 - 8091 = 0, -5*v + 16616 = 3*n. Calculate the highest common factor of v and 195.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -218 - -213. What is the closest to -6 in 0.1, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-270)\/48)\/15*4\/(-177))\/((-375)\/1500).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 1\/12*f**3 + 5 - 1\/4*f + 0*f**2. Determine j so that r(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (29 + -5 - 24)\/(2\/2). Solve y = -2*n - 32*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5 + 1020*p**4 - 996*p**3 - 7158*p**2 + 13239*p - 6102 = 0. What is p?\nAnswer: -3, 1, 2, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2, 5*m + 2*p + 124 + 404 = 0. Let a = -91 - m. Calculate the greatest common factor of 405 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2614539\/5 >= 522907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 314*f**4 - 4*f**3 + 4*f**2 - 351. Let h(j) = -309*j**4 + 3*j**3 - 3*j**2 + 352. Let a(v) = -4*h(v) - 3*o(v). Differentiate a(d) wrt d.\nAnswer: 1176*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yoyyyyoyyyyyyyyyyy. Give prob of picking 2 o.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.16216, 5\/3 in increasing order.\nAnswer: 0.16216, 5\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101110122022210 (base 3) to base 7.\nAnswer: 65200230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0638811 and -16.\nAnswer: -1.0220976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i - 4. Let s be o(8). Let l = s - 4. Let z be 3 + l - 350\/120. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -5*g - 18 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.4 - 18.\nAnswer: -10.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 999*f = -998*f + 96631, 144933 = 3*s + 3*f. What is the ten thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 14*g - g)*(3*g + 0*g + 5*g) - 3*g + 3*g + g**2.\nAnswer: 89*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-10 + (-4 + 4 - -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 294 = 2*c - o, -2*c = -o - 294. Suppose -u + c = -0*u + 2*n, 3*n - 593 = -4*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 419784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 10, i: 10}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1847 is divided by 36?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -27451761?\nAnswer: 27451756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 463 - -4?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -5*d + 3*d + 5*h, d = -2*h + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(19)*-2 + 4.\nAnswer: -2*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 20, -w + 5*u + 29317 - 29285 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70*v**3 - 70*v**3 + 6*v + 16*v**5 wrt v?\nAnswer: 320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 1904?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 5*x**2 + 6*x - 12. Give y(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 20\/13, 0, 0.8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -19*i + 110. Does 39 divide d(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 810 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.978348 and -15919.\nAnswer: -15920.978348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + o = -7*y - 34 + 276, 6*o + 17 = y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 50 = 3*i + 147, -4*g + 2*i + 76 = 0. Suppose 123 = g*b - 14*b. List the prime factors of b.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zssssszzsssssszszsss. What is prob of sequence zzz?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(27\/(-6)))\/(8\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 101 + (-13 - 0) + (-64 - -127) + -55\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -307960*r**4 + 90983*r wrt r.\nAnswer: -3695520*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 3010, -0.3, -1\/5, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(12)\/sqrt(4)))**2 - sqrt(28)\/(-2*sqrt(4)).\nAnswer: sqrt(7)\/2 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14, -59, -134, -239?\n\"Answer: -15*m**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0033516195 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/467? (a) 3 (b) -4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 6793\/6*(94 - 103)*2*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5190 + -5148. Let x(u) = 2*u**2 + 2*u + 2. Let h be x(-3). Calculate the greatest common divisor of h and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j + j - 2*j**2 + j**2 + 0*j**2. Let c(n) = 2*n. Suppose -8 = 5*z - 9*z. Give z*m(l) - 5*c(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (589 - 589 + 2*n**5 - 3*n**3 + 2*n**2)*(0 + 3 - 6).\nAnswer: -6*n**5 + 9*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20298997.22 - -69?\nAnswer: 20299066.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -971, -1925, -2865, -3785, -4679, -5541, -6365, -7145?\nAnswer: -7875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 2. Let s be j(4). Let x = s - -28. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*h - 10 = -60, 5*h = 5*r. Let m = r + -5. Let c be m*(-2 - (-28)\/12). Which is bigger: c or -2\/17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**13*c*c**4 assuming c is positive.\nAnswer: c**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15\/12958? (a) -2 (b) -4\/5 (c) -0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/(-12)*(-3)\/(9\/(-2676)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -5 (c) -1\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/595494 and -125\/396996?\nAnswer: 1190988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*9\/(540\/(-8)))\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6555 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -16. Let y(b) = b**2 - b + 1. Let j be y(1). Let m be 2\/4*(-4)\/1. Sort j, m, v in ascending order.\nAnswer: v, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**4 - 1 - 3*v**3 + 3*v**3 - v**2 + 0*v**3 to the form h*v**3 + b*v + a*v**2 + i + d*v**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4 + 120*d**3 - 762*d**2 + 1060*d.\nAnswer: -2*d*(d - 53)*(d - 5)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + (2 + sqrt(500) + -1 - (sqrt(500) + 1*sqrt(500) + 4 + sqrt(500)) - 3*(sqrt(500) + 1)*3)) + 1)**2.\nAnswer: 30360*sqrt(5) + 546616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**6\/3 - 5*r**4\/6 - 5*r. Find the third derivative of a(p) wrt p.\nAnswer: 240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.11 + 4.11. Suppose -25 = -3*p - 2*p. Sort p, y, -0.4.\nAnswer: -0.4, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1636 + 1646 = 10*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28452, 113808, 256070, 455238, 711312, 1024292, 1394178?\nAnswer: 1820970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, g: 6, z: 1, d: 3, m: 3}. What is prob of sequence mgg?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -63*p - 3177. Let o be g(-48). Which is greater: -168 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**3 + 10*d**2 - 10*d - 10. Let k be 2\/6 + (-20)\/6. Let p(r) = -2*r - 11*r**2 + 7*r**2 - 3 - r**3 - r + 7*r**2. Give k*b(v) + 10*p(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 3*x**2 - 2*x + 4. Let q be b(-3). Suppose -2*u + q = 5*h - 2*h, 10 = 5*h. What is the lowest common multiple of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(60\/21))\/(1\/(-5))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6848 divided by 1.\nAnswer: -6848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 46*c - 14. Calculate v(7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27612 + -1.4.\nAnswer: 27610.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2878886 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/7 + (-10)\/35. Suppose q - 7 = -1. Suppose -l = -4*g + 27, 3*l + 11 = -4*g + q*g. Sort g, -4, 4, d.\nAnswer: -4, d, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 19*f**3 + f**2 + f + 5. Let c(a) = 10*a**3 + 3. Give -3*b(l) + 5*c(l).\nAnswer: -7*l**3 - 3*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**4 + 2005*a**3 + 203985*a**2 + 597995*a + 396010 = 0.\nAnswer: -199, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134197 is divided by 488.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8*b. Suppose -2*n = 3 + 3, 0 = 2*y + 2*n + 4. Let c be l(y). Let t be 2\/(-3 + 1 - c). Which is greater: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*p**2 - 2*p**3 + 6 + 7*p**3 - 7*p**2 - 14*p**2 in the form k*p + v*p**2 + q + t*p**3 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 333*p + 8557. Calculate z(-32).\nAnswer: -2099","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = -4*o - 38, -170175*s - 19 = -170170*s - 3*o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, 0, -3, -16, -17, -21 in decreasing order.\nAnswer: 0, -3, -16, -17, -21, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13.1 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**6\/24 + w**5\/60 - w**4\/12 - w**3\/6 - w**2. What are the prime factors of r(3)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gks when three letters picked without replacement from gibgggpkggbiggsps.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 4*f**4 + 144*f**3 - 1164*f**2 + 1720*f = 0.\nAnswer: -43, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 2*t + 22, -3*t + 0 + 11 = 2*y. What is the nearest to -0.2 in 5, -1\/5, -3\/4, y?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005913862 rounded to 6 dps?\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*p**2 + 43*p**2 - p**3 + 28*p - 87*p**2 - 16*p - 7*p.\nAnswer: -p**3 + 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 2\/3*u**3 - 7\/2*u**2 - 18 - 4*u. Suppose x(i) = 0. What is i?\nAnswer: -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from {p: 1, n: 2, f: 1, h: 4, y: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 - 84 = -9*a. Let p be a\/10*(-35)\/14. Solve p*l + 0*l = 5*h - 2, 18 = 4*l + 5*h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b - 2*b + 0*b + 7. Calculate p(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1281923 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 382, 383, 384, 385?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/100*45*4\/171.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + 91. Suppose 3*g - 4*v - 24 = 2*g, -3 = -2*g - v. Suppose w = g*w - y. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -17) + -9 - 3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 9*b**2 - 24. Let a(c) = 3*c**2 - 6. Let s(o) = 4*a(o) - k(o). Let r(z) = -1104*z**2 - 1. Determine r(s(u)).\nAnswer: -9936*u**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**3 - 11*u**2 + 5*u + 1. Let s be 3*(-2 + -1 + 204\/36). Is c(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*u - 18 = 88*u, -3*u + 10 = 4*o. Which is smaller: 3.39 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 12. Let h(p) = 3*p - v*p + 2*p + 12*p**2. Let a(t) = 2*t**2. Calculate h(a(q)).\nAnswer: 48*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 5*p - 15 = 0, 113*i - 5*p = 114*i + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.253026 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 611*f - 2035 = 556*f for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(405)*1 + -6*(sqrt(5) + 1) + sqrt(5) - (5 + (sqrt(245) - (-2 + sqrt(245)))))**2 + 2.\nAnswer: -130*sqrt(5) + 296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9409 - -9422. What is the remainder when 907 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uooauggglouggalgaag?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**5\/5 + 23*k**4\/6 - 40*k. Find the third derivative of w(t) wrt t.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 26 = 2*u - 4*u, 5*u = -4*p + 31. Suppose 2*z - p*z = -3*r - 646, -z - 3*r = -341. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-24)\/((-8)\/1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g - 6. Let t = -2 + 8. Let d = 12 - t. Let i be l(d). Calculate the highest common divisor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4354, 34687, 117030, 277393, 541786?\nAnswer: 936219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112013963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 845?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/83? (a) 0.5 (b) 0.4 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -526*f**2 + 420*f**2 + 107*f**2. Let k(w) = 10*w + 9. Let g(v) = v. Let r(p) = 4*g(p) - k(p). Calculate s(r(q)).\nAnswer: 36*q**2 + 108*q + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*n)*((0 + 0 - 4)*(3 - 3 - 5) + 1 + 0 - 3)*(-4*n + 2*n + 0*n).\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*t - 59*t + 50*t.\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(267\/2160 + 488\/(-39040)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 16*f = -15*f + 695, 2*i - 347 = f. Suppose 5*x + i + 76 = 2*c, -5*c + 625 = -2*x. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*u - 32*u - 9*u**2 + (-34*u - 8*u**2 + 34*u + 2*u**2 - 4*u**2 - 4*u**2 + (-6*u**2 + 2*u**2 + 2*u**2)*(3 - 3 - 1) - u**2 + u**2 - 6*u**2)*(-3 - 3 + 4).\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28542954 is divided by 14271473?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 6:18 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7684516.\nAnswer: 2, 7, 127, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 244579914.\nAnswer: 489159828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 5*b - 2 = 0, -4*l - 2526*b - 18 = -2527*b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2146*m = -2136*m - 70 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 9*p**2 - 4*p - 4. Let u be 18 + -14 + 5*-1. Let n be m(u). Let l(b) = b**2 - 10*b + 16. What is the lowest common multiple of l(n) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1178048128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/26522 and -85\/151682?\nAnswer: 13499698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4001808.\nAnswer: 2, 3, 263, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 32, -5, -3, 0.18, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(10\/1055) - 4?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2 - 3 = 2*q, -2*o = -q + 13. Solve -23 = -4*l - q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + j**5 - 2*j**5 - 2*j**5 + 3*j**4 - 3*j**4 - 2*j**5 + (2 + 2*j - 2)*(2*j**4 + 2*j**3 - 2*j**3).\nAnswer: -j**5 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.9 in -5, 2\/15, -0.02, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554076?\nAnswer: 2, 3, 15391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(153))*2 + -5.\nAnswer: -9 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -4. Let a(h) = -h**2 + 19*h - 25. Let l be a(17). Solve 3*k - 7*k = -20, 2*m - x*k + l = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1373870?\nAnswer: -3\/1373870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 23995 + -2\nAnswer: 23993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - y**2 + 2*y**2 + 0*y**2)*(501 - 1014 + 510 + 38*y).\nAnswer: 38*y**3 - 3*y**2 + 76*y - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*o - 16. Suppose o*s - 185 = -s. Let j = -19 + s. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 80 = 5*q, 3*k - 2*q + 6 = -22. Let s(w) = w**3 + 10*w**2 - 24*w + 16. What is the lowest common multiple of 4 and s(k)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(18)*-5.\nAnswer: -15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 3 = -11, -10 = 2*j - 4*y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*v - 136*v + 911*v = -1122*v + 194274 for v.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*w - 5 - 0, 4*w - 2 = -2*z. Suppose 0 = 5*t - 14 + 4. Factor 0*l**2 + 0*l**t + 2*l**w.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**12*k*k**(-22)\/k)\/(k**14*k**(2\/77)) assuming k is positive.\nAnswer: k**(-1850\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-13 + 20 + -56 + -11 - 3).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.34 to the nearest integer.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -8565941\nAnswer: 14\/8565941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from vdcbchsdb?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 578.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/3)\/(2\/6). Let b be (-6)\/(-3) + o + 3. Suppose 4*l - b*g = 11, 0*l - 2*g + 11 = l. What is the remainder when l is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -40*h**4\/3 - 2*h + 77. Let j(n) = n. Calculate v(j(p)).\nAnswer: -160*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/9 + (-1)\/6. Let v = -0.2 - -0.3. Which is bigger: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 353, 2353, 5475, 9719, 15085, 21573, 29183?\n\"Answer: 561*o**2 + 317*o - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-14) - 802\/14. Let w = t + 169\/3. Is w smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 14*k - 200. Let y be t(23). Solve 7 + 7 = y*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, s: 1, p: 1, g: 1, y: 1}. What is prob of picking 1 k and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 9*w - 56. Let j = w + -10. Solve -s - 5 = -j*s + 4*q, -2*s + 4*q = -10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -824820*k**2 - 86969*k**2 - 159896*k**2 + 14597*k**2.\nAnswer: -1057088*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-72)\/(-28))\/((-2)\/(-14)). Let n = s + 0. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -872 + 872. Suppose s = 5*j + 13 + 7. Let f(n) = 4*n**2 + 3*n + 4. Let i(a) = 5*a**2 + 3*a + 5. Give j*f(x) + 3*i(x).\nAnswer: -x**2 - 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 273062 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-3))\/((-6)\/(-54)). Let v be -1*(-2 - (-5 + a)). Find u, given that -4\/5*u**4 + 0 + 0*u**2 + 2\/5*u**3 + 2\/5*u**5 + v*u = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 836 = 2894. Suppose a + 13*a - r = 0. Is 41\/2 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1777659376.\nAnswer: 2, 37, 71, 42293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**4 - u**3 - 2*u - 1. Let i(j) = 16*j**4 - 106*j**3 + 104*j**2 - 10*j + 1. Let m(n) = -3*c(n) - 3*i(n). Suppose m(o) = 0. Calculate o.\nAnswer: 0, 2\/15, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 5*d**2 + 6*d + 6. Let k(y) = -3*y**2 - 4*y. Let b be k(-4). Let h be b\/4*6\/8. What is the least common multiple of o(h) and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(180)*-1 - sqrt(180)) - sqrt(180)) + ((sqrt(180)*2 + sqrt(180) - sqrt(180)) + sqrt(180))*-4)\/((sqrt(27) - sqrt(27)*-2*3)\/sqrt(48)).\nAnswer: -24*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -5. Suppose -l - f + 15 = 0, 2*l + f - 67 = -o*l. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/3472 and 93\/392?\nAnswer: 24304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 10:07 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*sqrt(52))**2 + -2*(sqrt(208) + 3 + sqrt(208))**2 + sqrt(208).\nAnswer: -2514 - 92*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, -2\/13, 189 in increasing order.\nAnswer: -2\/13, 0.1, 5, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 321588, 1286317, 2894234, 5145345, 8039656, 11577173?\n\"Answer: z**3 + 321588*z**2 - 42*z + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6)*((-36)\/(-4) - 7)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -117, 5\/3, 12?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 92?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (-6)\/((-9)\/(-3)). Determine y so that 2\/3*y - 2\/3 - 2\/3*y**3 + 2\/3*y**a = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2361 - 0.2\nAnswer: -0.4361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16308 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 10:38 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**5 - 86*q**4 - 4*q**2 + 6*q.\nAnswer: 60*q**2 - 2064*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 507792.6 nanograms to micrograms.\nAnswer: 507.7926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**2 + 4*w**2 - 6*w**2 + (2 - 3 - 3)*(2 - 1 - 7)*(-3*w**2 - 3*w**2 + 3*w**2)*(-2 + 0 - 1).\nAnswer: 217*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**3\/2 - 3*k**2\/2 + 2*k. Let q be x(3). Let c be (46\/4)\/(3\/q). Solve 4*u = 7 - c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 8*t**2 + 10*t - 7. Let f be a(9). Suppose c = f*c - 2. What is the second smallest value in c, 6, 1\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*h + 79*h - 13*h + 12 + 15 - 14*h as p + y*h and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 958*c + 60*c**3 - 180*c**3 + 60*c**3 + 61*c**3.\nAnswer: c**3 + 958*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 55636158 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1738*s**3 - 2*s**2 - 2*s. Let t be a(8). What is t rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 10) + (8 - 10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14022 in 1\/3, 1\/28, -127?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 10*l + 10. Let v be s(-2). Let b(d) = -3*d**2 - 9*d - 3. Determine b(v).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t - 7. Let l be u(-5). Suppose 2*n = -3*a + 22, -l*n = -3*a - 4 + 1. What is the first derivative of m**4 - 2 - a*m**4 + 0*m**4 + 4 wrt m?\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 5906236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/7 and 19\/199.\nAnswer: 1393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m - 17. Suppose -5*x + 38 = -2. Suppose -5*z - 3*u - 60 = -x, 3*z = -4*u - 40. Let g be o(z). Sort g, 0, 1 in decreasing order.\nAnswer: 1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 891481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, u: 2}. Give prob of sequence ull.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 557795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9834 divided by 3.\nAnswer: 3278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 45325 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 5. Suppose 5*h + 4 - 9 = x. Is 16 - (3 - 2)*h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 7*q**5\/20 - 5*q**2\/2 - q. Find the first derivative of l(t) wrt t.\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 5, -5\/7, 13?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35.8181 - 499723.\nAnswer: -499687.1819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - 7 - 45)*(28*j**2 - 59*j**2 + 4 + 2*j**2) in the form y*j + q + d*j**2 and give d.\nAnswer: 1885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 + -17.2. Let g = -27 - q. Let h = -2381 + 2377. Which is the second smallest value? (a) 1\/5 (b) g (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7*s**3 + 66*s**2 + 8*s + 11. Determine n(-10).\nAnswer: -469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 - -24. Let y = 0.4376973668 + -22.4376992768. Let p = i - y. Round p to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38731.\nAnswer: 7, 11, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*j - 4. Let k = 25 - 24.9. Let p = 7 - 11. What is the closest to k in 2\/3, j, p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 2:29 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q + q + 70 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -47*y - 2697. Determine t(-66).\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**5 + 5*c**4 + 5*c**3 - 12*c + 5. Let s(j) = j**4 + j**3 - j + 1. Let b(h) = r(h) - 5*s(h). Find the second derivative of b(f) wrt f.\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(168)*-5*3)\/(3*(-1*sqrt(6)*-3 + sqrt(600)*-1)))**2.\nAnswer: 900\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73179 - 73172.6913. Let v = -0.0387 + i. Round v to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3\/16)\/(v*v**(-13))*v**(1\/5)*v\/(v**1\/v) assuming v is positive.\nAnswer: v**(1041\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x**5 + 114*x**4 - 495*x**3 + 930*x**2 - 756*x + 216 = 0. Calculate x.\nAnswer: 2\/3, 1, 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2.33, 5\/2 in increasing order.\nAnswer: 2.33, 5\/2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002172753 rounded to six decimal places?\nAnswer: 0.002173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26.999972 - -27. Round w to six dps.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 6*k + 3. Suppose 0 = o + 8 - 2. Let v be x(o). Let h be (-363)\/(-9) - 1\/v. What is the greatest common divisor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 5*t**2 - 7*t + 4. Let y be d(6). What is the common denominator of (112\/(-20))\/(4\/y) and -19\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-28)*(-4 + 140\/36)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2568*r**2 + 251*r - 1153467 wrt r.\nAnswer: 5136*r + 251","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -1.076\nAnswer: -2.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 95*r**4*s - 32015*r**2*s**3 + 55861*r*s**3 - 2*r wrt r.\nAnswer: 1140*r**2*s - 64030*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*2*sqrt(500) + -5*(sqrt(500) - (-2 + sqrt(500)))))**2*3 + 0.\nAnswer: -21600*sqrt(5) + 218700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 + 36. Let z = -5.03 - -0.03. Let q = -3.1 + 3. Which is the nearest to -1? (a) z (b) q (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + (3 + sqrt(363) + 4 + sqrt(363) - (-4*sqrt(363) + 0)))**2.\nAnswer: -52288 - 1056*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 5*x + 4. Let w be n(-3). Let v(r) be the first derivative of -r**4\/2 - r**3 - r**2\/2 + r - 1. What is the units digit of v(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, m: 13}. Give prob of picking 1 m and 2 r.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 47324.1 and -5?\nAnswer: -236620.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*o - 352 = -3*o + 15*o for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 162 = 11*r. Let g = 41 + r. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*t + 15*t - 60 = 28*t. Which is smaller: t or -30.92?\nAnswer: -30.92","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1008))**2*5*-5 + (sqrt(63) - ((sqrt(126)*-1)\/sqrt(2) + sqrt(63)))\/(-2*sqrt(9)*-6 + sqrt(9)).\nAnswer: -25600 - 31199*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74795?\nAnswer: 5, 7, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 129558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**6\/6 + 7*p**5\/5 - 19*p**4\/4 + 25*p**3\/3 - 8*p**2 + 4*p - 27. Factor a(o).\nAnswer: -(o - 2)**2*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*c**5)*((-3 + 7 - 2)*(0 + 0 + 1) + 13 - 13 + 17).\nAnswer: -38*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 278261*r**2. Let t(g) = -17*g. What is h(t(x))?\nAnswer: 80417429*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24944724 by 3.\nAnswer: 8314908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 127 = -5*q, -5*q - 2*o = -9*q + 100. What is the remainder when 186 is divided by q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/((k\/((k*k*k*k*(k\/(k\/k**0))\/k*k)\/k))\/k)*k**5\/k)**45*(k**(-1\/10)*k**3*k)**(-2\/19) assuming k is positive.\nAnswer: k**(38436\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 120, 262, 404, 546, 688?\n\"Answer: 142*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0*h - 4*o + 14, 4*h - 3*o - 2 = 0. Let x be ((-4)\/40)\/((-1)\/h). Put 5, 0.4, x in decreasing order.\nAnswer: 5, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-22) + (-1484)\/(-308)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 2 = -4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 212032867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 1\/4*o**4 - 2\/3*o**3 + 1\/2*o**2 - 1 + 0*o. Factor d(v).\nAnswer: v*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2\/9 - 308*a\/9 + 23716\/9 = 0 for a.\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (17 - 7 - -1)) + (15 + -5 - 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**3 + 91*b**2 + 112*b + 91079.\nAnswer: 6*b**2 + 182*b + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 367150432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 32 = -4*b + 7, -65 = -5*a + 3*b. Suppose -12 = -2*k - k. Let -3*i**k - 71*i**2 - a*i**2 - 96*i - 32*i**3 - 4*i**2 - 36 - i**4 = 0. Calculate i.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371*t - 177*t - 67*t - 64*t - 67*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 16*a + 13 + 17 + 17 + 14. Is w(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98\/9 + 757\/72. Sort r, 2\/13, -0.1, 0.1.\nAnswer: r, -0.1, 0.1, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**4\/12 - y**2 - 76*y - 2. Let h(m) = 4*m + 0*m - 5*m. What is -2*h(a) - r(a)?\nAnswer: -a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9081 and 19171.\nAnswer: 172539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j. Let l = -5 - -10. Suppose 4 = -3*v + l*v. Let t(a) = a + 9. Let g(y) = 1. Let p(k) = v*t(k) - 18*g(k). Determine c(p(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6777*r = -6782*r - 5*g - 20, -3*r - 17 = 4*g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*((sqrt(17) + 3)*5 - sqrt(1088)*3)*-6.\nAnswer: -270 + 342*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.070301 and 24.\nAnswer: -1.687224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 63*t**2 + 59*t - 148. What is the derivative of r(a) wrt a?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 7, e: 8}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/486881 and -89\/10.\nAnswer: 4868810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 54, -57183*s - 3*p + 187 = -57178*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 - 35*z - 223*z - 6*z**2 - 12 + 10*z**2.\nAnswer: 2*z**2 - 258*z - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmqqxmqqqmxummxqkxx. Give prob of picking 2 m.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 653026?\nAnswer: -653023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3. Let d(m) = 6*m**2 - 2 - 7*m**2 + 6*m**3 - 3*m**3. Determine -d(k) - 4*n(k).\nAnswer: k**3 + k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20, -70, -252, -532, -916, -1410?\n\"Answer: -n**3 - 40*n**2 + 37*n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-173)\/(-2076))\/(68 - -1)*12.\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 32171 and 32158 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w. Let f(g) = 9*g**2 + 61. What is f(q(n))?\nAnswer: 9*n**2 + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**3 + 16*g**2 - 8*g + 31. Let o be x(-6). Let p(u) = u**2 - 3. Let y(j) = j**2 - 3. Give o*y(d) - 6*p(d).\nAnswer: d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3522012672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3129 and 86271.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 n, and 1 d when four letters picked without replacement from qqnnqyvmnyydv.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 0 + -4 + 0. Suppose 2*q = -2 + 4. Let f(o) = 2*o + 1. Let t be f(q). Which is the third biggest value? (a) w (b) t (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 242*i + 6. What is the hundreds digit of c(-62)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 11. Suppose 0 = 3*o, 15*g - 9*o + 60 = -7*o. Let t(i) = -5. What is g*p(w) + 9*t(w)?\nAnswer: 4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 9. Let m be (7\/(-14))\/(p\/6). Suppose -z = m*z - 208. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118735?\nAnswer: 5, 23747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**3\/5 - 1296*t**2\/5 - 260*t = 0 for t.\nAnswer: -1, 0, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 20. Let d(y) = 14*y**3 + 78*y**2 - 13*y - 25. Let g(c) = -11*c**3 - 60*c**2 + 10*c + 19. Let s(p) = 7*d(p) + 9*g(p). What is s(o)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + 5*y - 2*y + (y + 0*y + 0*y)*(-2 + 2 + 1) + 186 - 15*y - 186)*(-13*y + 2*y - 1 + 2*y) in the form f*y**2 + c*y + q and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -21*i - 3. Let v(z) = -10*z - 2. Determine 7*v(b) - 4*y(b).\nAnswer: 14*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 + 130. Suppose c + 49 = n + n, -4*c - z = -3*n. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 54*m**2 + 52*m + 163. Let p be h(55). Which is the smallest value? (a) p (b) 1\/5 (c) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -440*z + 806 + 808 - 1614 as f*z + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -338 in decreasing order.\nAnswer: 3, 0, -338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 3. Let o(h) = -h**3 - 9*h**2 + h + 4. Let i = -13 - -4. Let w be o(i). What is p(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/656*-4)\/((130\/(-390))\/((-3)\/18)).\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 2*p - 1. Let j be ((-72)\/(-16))\/(3\/4). Let r(y) = -6*y + 34. Let c be r(j). Calculate b(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -118.000000328 + 118. What is l rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 220\/10*66\/4. What is the greatest common factor of 33 and o?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.72378 micrograms to kilograms.\nAnswer: 0.00000002072378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 244 + -240. Suppose b*a + 2*l = 28 + 16, 4*a + 3*l = 40. Solve -5*m = -2*n + a, -m - 5*n + 9 = -10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) 0.2 (c) -4 (d) -1\/6 (e) -51 (f) -1.9043\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6 and 5000303431?\nAnswer: 5000303437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 38654231 to the power of 1\/3, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05268992 rounded to 5 dps?\nAnswer: -0.05269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/2*18\/12. What is the third derivative of 3 - u - 2*o**2 - 4*o**4 wrt o?\nAnswer: -96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*y - 12909 = -2905 for y.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 9.93?\nAnswer: 12.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -396*c*x**3 - 89*c*x - 3279*x**3 + 4*x wrt c.\nAnswer: -396*x**3 - 89*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*u + 3*q + 2*q, -2*q + 6 = 3*u. Solve -i = -0*i + u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -11*l**3 - 8*l**2 - 47*l - 10. Let t(o) = 6*o**3 + o**2 + 23*o + 4. What is -5*t(f) - 2*u(f)?\nAnswer: -8*f**3 + 11*f**2 - 21*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**3 + x**2 - 2*x + 2. Let z(r) = 5*r**3 + 2*r**2 - 5*r + 5. Let g(l) = -5*m(l) + 2*z(l). Give g(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2. Let z(l) = 8*l**2 + 2*l + 1. Suppose -4 = -18*y + 14*y. Calculate y*z(h) + 6*j(h).\nAnswer: 2*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10 = -3*p + 4*p, -3*p = -u + 50. What are the prime factors of (11 + p)*(-180)\/8?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 8) to base 13\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.0013 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = n + 177, 14*a - 10*a = -3*n + 249. Calculate the smallest common multiple of a and 44.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 12 = 0, -2*b - 2*z + 3 = 17. Let n = 2 - 2. Let k = n - b. Is 2 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(66)\/sqrt(54) - (sqrt(176) - (4 + sqrt(176)*-1)**2).\nAnswer: -34*sqrt(11) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 + 424*v**3 + 1221*v**2 - 1541*v + 412.\nAnswer: (v + 4)*(v + 103)*(2*v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 6*k**5\/11 + 118804*k**4\/11 - 46812*k**3 - 39544*k**2\/11 + 1307166*k\/11 + 712980\/11 = 0.\nAnswer: -19805, -1, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.9 + 9.5. What is the smallest value in -4, -1\/3, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -5, 1.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppt. Give prob of picking 1 t and 2 p.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2057713708?\nAnswer: 2, 37, 13903471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/2*24\/9. Let u be (-7)\/(7\/q) + -2. Suppose 4*w - 2*z + 18 - 48 = 0, u = 2*z. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, -17, -29, -0.2?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.5 + -22.5. Let m = -19.00006 - l. Round m to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b = 546 - 4074. Calculate the highest common divisor of 63 and b.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-2 - (-3)\/3). Differentiate -1104*x + o*x**4 + x**4 - 13 + 1109*x with respect to x.\nAnswer: 4*x**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7339 + -2896. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -3, -2, -1 in descending order.\nAnswer: 14, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 74 in ascending order.\nAnswer: -1, 5, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/17 - (-159)\/(-51). Let f = -281 - -839\/3. What is the third smallest value in 0.5, f, 10\/11, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1867272 and 1\/2800908.\nAnswer: 5601816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24785*x**4 - 8*x**2 + 2*x - 318?\nAnswer: 594840*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-864)\/112 + 4\/(-14). Which is the closest to k? (a) -0.3 (b) -1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-3))\/((-2)\/(-3)). Let -4*r**2 + 15*r + l*r**3 - 42*r + 19*r = 0. Calculate r.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8445 + -4838983\/573. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14.2 < 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 0*s + 119. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -241934921 by -10147.\nAnswer: 23843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (1 - 9)) + (-57 + 186 - 86).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5487536741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 445*p**2 - 445*p**2 - 282*p**3 + 2*p**3 + 3 - 3 + (0 + 0 + 2*p**3)*(-3 + 3 + 2) + 2*p**3 - 4*p**3 + 0*p**3 - 4*p**2 + 4*p**2 - p**3.\nAnswer: -279*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*((sqrt(128) - -1*sqrt(128)*5) + sqrt(128)*2 + -5) + 1)**2.\nAnswer: -6144*sqrt(2) + 73984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 850151299?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*40\/12*-9\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2142618 or 2142614?\nAnswer: 2142614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*n**4 + 35820*n**3 + 29183360*n**2 - 43837740*n + 14618552 = 0. What is n?\nAnswer: -3406, -1073, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 20 = -3*h, 3*r = -h - 4. Let s(v) = -4*v - 4. What are the prime factors of s(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 264*j*k**3 - 1867*j*k**2 + 2001*j*k - 104*j - 4*k**3 + 69*k wrt k?\nAnswer: 1584*j*k - 3734*j - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + d - 2*h + 17, 2*d = 4*h - 22. Let f = 83 + -78. Put f, d, 3 in decreasing order.\nAnswer: f, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11372*n**4 + 17371*n wrt n?\nAnswer: -136464*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17770.641 rounded to zero dps?\nAnswer: 17771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001 (base 4) to base 8.\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -263*z - 22731. Determine n(-87).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2. Let p(q) = q**2 - 34*q. Give p(j(k)).\nAnswer: k**4 + 34*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from bibibbbbbbb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 + 0.88. Let h = 0.0806 - o. What is h rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -86700000 to the nearest 1000000.\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2118?\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 - 25. Let v = -43 + 268. What is the remainder when v is divided by b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*f + 6*p + 16, f - 5*p = -13. Let a(b) = -b**3 + 13*b**2 + 11*b + 4. Let y be a(14). Is y\/(f\/((-63)\/6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8)\/(16\/(-3))*2036\/6 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 1:32 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 2*s**3 + 0*s**2)*(-s + s - s) - 51 - 8*s**4 + 51 + 2*s**4 + 134*s**2 - 134*s**2.\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y - 79*y**2 + 11*y + 51*y**2 + y**3 + 39*y**2 to the form x*y + v*y**3 + d + s*y**2 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -56, -4, 1\/4, 1, -19827?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 4:55 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.116396 weeks to milliseconds.\nAnswer: 1884796300.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-6))\/((-6)\/9). Sort -3, s, 5 in descending order.\nAnswer: 5, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m*t**4 - 18*m*t**3 + 88*m*t**2 - 815*m*t - 2*t**4 + 25*t**3 + 3*t - 1 wrt t.\nAnswer: -72*m*t - 108*m - 48*t + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(24\/(-12) - -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -12*2*2\/(-4). Let j = -26 + y. Is (-4)\/(-14) + (-458)\/j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*j**3 + 51*j**3 - 12*j**3.\nAnswer: 65*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 2:27 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -94 in 2\/5, 0.1, 40.9, 17\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013321 rounded to four decimal places?\nAnswer: -0.0133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaqacaaqaalauaqa. Give prob of sequence lcq.\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 739140019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 396968260 to the power of 1\/2, to the nearest integer?\nAnswer: 19924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/3*(-18)\/4. Let l(p) = 1066*p - 1059*p + 31 - 24. Let a(g) = 24*g + 24. Let f(t) = -6*t - 6. Let u(d) = 2*a(d) + 9*f(d). What is h*u(s) - 5*l(s)?\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k = -2*k + 32 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3740\/7 + -1 + (-25)\/(-35). Suppose 4*g = a + 173, -b - 349 = 5*a - 2*g. Let l = -97 - a. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 49750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*a**2 + 38*a**2 + 7*a**2 - 19*a**2.\nAnswer: 69*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -217*a**2*x**2 + 3*a**2*x - 3*a**2 + 41*a*x + 4*x**2 wrt a?\nAnswer: -434*x**2 + 6*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.4 - 20.6. Let l = b + 26. What is the second biggest value in l, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-8 + (9 - -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 588481.3768 to the nearest one hundred.\nAnswer: 588500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 12:51 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.0747701km?\nAnswer: 74770100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 + 59*v**2 + 656*v - 21504.\nAnswer: -(v - 64)*(v - 16)*(v + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -198 > 6457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.04251ml in litres?\nAnswer: 0.02604251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 106144\/3949 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -28482, -56971, -85470, -113979, -142498?\n\"Answer: -5*g**2 - 28474*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*f + 2*z, -4*f + 16 = f + 2*z. Let q = 3 - 2.9. Let o = -2.6 - -3. What is the closest to q in f, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10) + 556386\/(-1273230) + (-2)\/(-43) + 0.\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, 201, -1\/13, 1\/3, 3\/4.\nAnswer: -1\/13, 1\/3, 3\/4, 87, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224 and 2128.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-420)\/(-16) + 3)*((-93)\/9 + 9).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**3\/9 - 472*h**2 - 453740*h\/3 - 116616736\/9 = 0.\nAnswer: -463, -136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 48\/26 + 1\/(13\/2). Calculate the remainder when -8 + 11 - (h - 20*4) is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**2 + 2*c + 1. What is the hundreds digit of g(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*i**2 - 85*i + 28*i**2 + 85*i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112112021 - 110?\nAnswer: 112111211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -280\/3, -2\/13, -4, -1, 19, -0.9?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**5\/10 - 4*j**4\/3 + 14*j**3 + 6*j**2 + 2085*j. What is the second derivative of b(n) wrt n?\nAnswer: -12*n - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*c**2*j**2 + 69*c**2*n + c*j**2*n + c*n - 12*j**2 wrt j?\nAnswer: 20*c**2*j + 2*c*j*n - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -874 = -6*h + 68. Suppose -153*l = -h*l - 12. Suppose -3*q = 2 - 8. Put 5, q, -1, l in increasing order.\nAnswer: l, -1, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1197 and 1.46?\nAnswer: 1.5797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5034, -19071, -42480, -75273, -117462, -169059, -230076, -300525?\nAnswer: -380418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 2*z - 12. Suppose i - 21 = 2*p, p + i = -3 - 6. What is the tens digit of a(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220860260.\nAnswer: 2, 5, 17, 23, 61, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + -2)*4 + 1*sqrt(14)\/(sqrt(28) + sqrt(7)))**2.\nAnswer: -400*sqrt(2)\/3 + 1826\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 2049 - 2046 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**3*g**2 + 3*b**3 + 20*b*g + 131*g**5 wrt g?\nAnswer: 6*b**3 + 2620*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v**2 - 3*v + 7. Let t(m) = -14*m**2 - 10*m + 22. Let d(g) = -11*s(g) + 4*t(g). Determine d(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -187\/240 - 1\/48. Let x = -2741\/246 - -450\/41. What is the closest to 1 in x, -5, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 4645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8)*t*t**9\/t)**(24\/5) assuming t is positive.\nAnswer: t**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 24*f**2 + 66*f - 59. Let w be u(21). Let 15\/4 - 3*m**2 - 3\/4*m**w - 9\/2*m + 9\/2*m**3 = 0. What is m?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = 4*o + 3*r - 11, -4*o = r + 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence saa when three letters picked without replacement from ssafpawpkwks?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-153)\/66 - (-6)\/(-33)) + 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209 and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**2 + 8*j - 30. Suppose 0 = 4*n + 3*c + 91 - 136, -3*c = 2*n - 33. What is x(n)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = x. Suppose u + 4*w - 13 = x, -4*u + 6 = w - 1. Let b be (6\/(-5) + 1)*u. What is the closest to 1 in 0.3, -3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -9. Let f = 12 + u. Let y(r) = -r**2 - 7*r**3 + 3*r**2 - f + 2*r**2. Let w(c) = 8*c**3 - 5*c**2 + 1. What is -4*w(b) - 5*y(b)?\nAnswer: 3*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 1:50 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/2*(-9)\/((-36)\/(-8)). Let n = 2.03 - 3.03. Which is the nearest to -0.4? (a) 2\/7 (b) v (c) n (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 165 and -0.2.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 5 - 30 = -2*x, -w + 41*x = 209 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -25840 (base 10) to base 13\nAnswer: -b9b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 162*b**2 - 11*b - 2. Is u(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.012 - 0.015. Let g = -4.997 + d. Let i = -4.6 - -5. Sort 5, i, g in descending order.\nAnswer: 5, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 2*n - 2. Let l = 4 + 3. Let t be k(l). Suppose 0 = 3*u - t - 63. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10 (b) 3 (c) -10.92 (d) 13 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.8, -1\/3, 35, -0.2, 1\/2 in descending order.\nAnswer: 35, 1.8, 1\/2, -0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/220*((-12)\/(-18))\/(-1)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9*(-4)\/8*-4. Let m be (0 + -1)*(-12)\/w. What is z in -m - 2\/3*z**2 - 4\/3*z = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - (1*sqrt(495) + sqrt(55))) + sqrt(1980)*-1)\/((-3*-2*sqrt(33))\/sqrt(3)*2).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ryqyfiyriiqriyiyi. What is prob of picking 1 r, 2 q, and 1 y?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1427 (base 9) to base 15.\nAnswer: 4bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 439639731 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 11*z**2 - 23*z + 182. Is 5 a factor of o(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.961951 rounded to 1 dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 7. Let q be a(-7). Suppose p + 2*p - 270 = q. Round p to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + 8 + -16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 f when four letters picked without replacement from {a: 1, f: 1, s: 5, h: 2}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33\/37 - 5126\/185. Let h = 29 + g. Which is smaller: h or 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npqpp. Give prob of sequence np.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**5 + 7254*q**4 + 14637*q**3 - 282684*q**2 - 1103184*q - 813120 = 0.\nAnswer: -4, -1, 7, 2420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521847639 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 26*r - 119. Let x be v(5). Let j(z) = z**2 - 9*z - 12. Determine j(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91760 divided by 18352.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**(2\/3)*v)\/v)\/(v**(-2\/89)*v*v) assuming v is positive.\nAnswer: v**(-83\/267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 69\/56 + (-1506)\/1757. Let r(x) be the second derivative of 0*x**2 - 1\/4*x**4 + 0 - d*x**5 + 3\/4*x**3 + 31*x. Factor r(f).\nAnswer: -3*f*(f + 1)*(5*f - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565 is divided by 73?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u - 2*u - 6*u - 7)*(2*u - u + 0*u) + (-5*u + 3*u + 0*u)*(-49*u - 67 + 67).\nAnswer: 97*u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/5)*a)**(-27)\/(a*a*a**0*a)**(-3\/8) assuming a is positive.\nAnswer: a**(-387\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3252281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 218451 - 1418451 = 0. What is s rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*((a\/a**(-40))\/a)\/a)\/(a**31\/a))\/(((a\/(a*a\/(a\/a**41)*a*a)*a)\/a)\/(a*a**50\/a)) assuming a is positive.\nAnswer: a**103","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 262596?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 956330?\nAnswer: 2, 5, 95633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47839*o - 3103785 wrt o.\nAnswer: 47839","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -145.2 + 145.36. Which is the biggest value? (a) 0.1 (b) -1\/2 (c) 6\/7 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 104016077?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/72 - 307\/1368. Let k = -65\/38 - u. Which is bigger: k or -34?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 2\/6*3. Which is the nearest to 0.1? (a) 3\/2 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70131863 by -5.\nAnswer: -70131863\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 43599, -4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (12\/(-1 + 3) - -1). Let j = -3 + -2. Which is the biggest value? (a) 0.4 (b) 2\/7 (c) j (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 324233 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 26*w - 68265 = -15*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 13, 80, 217, 448?\nAnswer: 797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2241125167.\nAnswer: 79, 181, 156733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 + -43. Suppose o - 14 = -a, -10 - 2 = -m*o. Let r be 4\/a - 143\/(-55). Solve -8 = f - r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5763.209 and 0.5.\nAnswer: -2881.6045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-203)\/(-754)*(20\/(-105))\/(-1)\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -1, 0, -1\/23, 2\/5, 3.177?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 5*a + 42, -16860*a = l - 16857*a + 25 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-510)\/(-204))\/((4*(-35)\/1232)\/1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6512 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 0, 5, 1824, -547 in increasing order.\nAnswer: -547, -5, 0, 3, 5, 1824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -102*t + 2. Let w(c) = 11*c**2 + 90*c - 9. Let y(k) = -5*k**2 - 40*k + 4. Let s(i) = 4*w(i) + 9*y(i). Determine v(s(u)).\nAnswer: 102*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -2*k - 56, 91*r = -4*k + 343 - 289 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + -2*1*sqrt(180))**2.\nAnswer: -288*sqrt(5) + 4344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -431*n**7\/210 - n**5\/60 + 313*n**3\/6 - 468*n**2. What is the third derivative of u(h) wrt h?\nAnswer: -10344*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14\/239311 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wcrfwpw. What is prob of sequence wwp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 57. Suppose 0 = a + 6 - 8. Let t(o) = 2*o**3 - 2*o**2 + 2*o. Let n be t(a). What is the highest common factor of p and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5136586061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 + 2 - 2)*((-1 - 3 - 3)*(2*h + h + 7*h) + (2 + 3*h - h + 1)*(0 + 1 - 3)).\nAnswer: -222*h**3 - 18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22066899 to the power of 1\/2, to the nearest integer?\nAnswer: 4698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o + 400 - 12*o**2 + 8*o**2 + 8*o**2 + 43*o = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*u + 411, 4*d + u + 247 = 7*d. Suppose -g - 9 = -d. List the prime factors of g.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 673, 664, 645, 610, 553, 468, 349?\n\"Answer: -q**3 + q**2 - 5*q + 678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/48 - 6)\/(9 + (-6)\/(-54)*-111)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63642?\nAnswer: 2, 3, 10607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 123880946 to the power of 1\/2, to the nearest integer?\nAnswer: 11130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8, 26, 48, 68, 80, 78, 56?\n\"Answer: -v**3 + 8*v**2 + v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**3 - 2*j**2 - 2*j - 1. Let c be 2\/(3*(-2)\/3). Let q be p(c). What is the third derivative of -9*i**2 - i**4 - 2*i**q + 10*i**2 wrt i?\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -47*b**4\/24 + 17*b**3\/2 + 5*b**2 + 10. What is the derivative of v(d) wrt d?\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304 - 306 = -5*f + 381 + 182 for f.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*y - 52*y - 115*y - 27900 = 155*y for y.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402194 is divided by 2483.\nAnswer: 2431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -14, -6, 4, 16?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*h - 654 - 394, 3*h = 4*b + 1043. Let q(v) = -10556*v + 84459. Let g be q(8). What is the greatest common factor of g and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -11*v + 30. Let q(h) = -8*h + 20. What is -5*g(s) + 8*q(s)?\nAnswer: -9*s + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (8550\/8)\/25*640 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/330*11*(-14)\/4?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + -25 + 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.882545 rounded to three decimal places?\nAnswer: -0.883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -3, -7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301093 is divided by 150539?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176843 is divided by 103?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*z + 24, 0*o = o - 5. Suppose 0*s = z*s - 3*t - 32, -5*s + 4*t = -73. Let u(w) = -10*w - 4*w + s*w. Let j(k) = -4*k**2. Give u(j(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1332, 1584, 1836?\nAnswer: 2088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from wpzhzwsh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 11646*k**2 - 29546097*k - 26165939632.\nAnswer: -(k - 6167)**2*(k + 688)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 1) + (-81 - (-2 + 3)). Let w = 86 + p. What is the third derivative of 15*r**2 - 31*r**2 + 23*r**w + 0*r + 0*r wrt r?\nAnswer: 2760*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -52, -86, -142, -226, -344, -502, -706?\nAnswer: -962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -5\/3653?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 2*x**2 - 3. Let m be l(-2). Let b = 4.08 + -0.08. What is the third smallest value in m, 13, b, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 445908*d - 445908*d - 821*d**2 + (-1 + 1 - 2*d)*(0 + 0 - 7*d) - d**2 - 5*d**2 - d**2 as y*d**2 + h + q*d and give y.\nAnswer: -814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20726.\nAnswer: 2, 43, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 15.9426.\nAnswer: 16.1426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 25. Give c(30).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/9*2\/22*-3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 + 106. Suppose -4*j + 5*w - 64 = -407, -i*w + 107 = j. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k = -7515 - 11860. Is k a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 2*d - 5 = -2*f + 4*d + 10, -43*f = 4*d - 262 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/4)\/(8\/(-96)). Let w be (-3 + 5)*9\/p. Let g be (0 - w)\/(6\/(-10)). Solve 0*k = -5*k + g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1755 by -3715.\nAnswer: -351\/743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*t + 247561 - 123784 + 22*t - 21*t - 123780.\nAnswer: 19*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 884950 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 173\/4. Calculate the common denominator of f and (250\/(-12))\/(-5) - 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -34. Let j = -7 + a. Suppose 0 = 4*b + 4, 5*r + 3*b + 26 - 133 = 0. Calculate the smallest common multiple of j and r.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 638122651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 91529909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5319 or -41\/4?\nAnswer: 5319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 3*i + 50, o - 228 = i - 208 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) -5 (c) 18 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76518418262080.81 + -76517744687070.8100094. Let z = -673575099 + t. Let s = 89 + z. What is s rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3 + 1 = -4*j, 0 = -2*j - 6. Suppose o*l - 8 = -2*n, -5*l - n = 2*n - 9. Suppose t - 4*q = 2*t, l*t = -2*q + 40. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/((-3 + 13)\/(-5)) - -25 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103 + -201. Let x = o - -100. Suppose 0*z - 4*z = -12. Solve 3*f = w + 10, -2*f = w + x*w - z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-33)\/(-9) - 3) + (-24)\/(-36).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2746063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -5. Let q(r) = 5*r**3 + 3 - h - 6*r. Let f(l) = -11*l**3 + 13*l. Let y(k) = -4*f(k) - 9*q(k). What is the second derivative of y(p) wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1041.058 - -1042. Round a to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2828.43 litres in millilitres?\nAnswer: 2828430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttbsttsbb. Give prob of sequence ttbs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6666 - 6456. What is the smallest common multiple of 2142 and i?\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 25\/(-10))\/((-1)\/6). Let a be (-118)\/(-8) + 1\/4. What is the greatest common factor of a and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x. Let u be m(-5). Solve 0*d - u = -3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80307436 divided by 4\nAnswer: -20076859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -45385.79 to the nearest one thousand.\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**3 - 2*f**2 + 22*f - 3. Determine r(7).\nAnswer: -976","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/2, -5, -3, 3\/4 in decreasing order.\nAnswer: 3\/4, -3\/2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/((16\/(-8))\/(-86 - -94)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2*s - 268, -2*s = -1 - 1. Suppose 18 = -3*p + b. Calculate the remainder when 141 is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -352 - 54*i**3 + 705 - 353 - 35*i + 24*i**3 + 3*i.\nAnswer: -30*i**3 - 32*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - v**2 - 4. Let c be x(0). Let r = 10 + c. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3) + (154\/(-12))\/(-11).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 60616192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-51)\/17 - -2*1) + 26. Let r be 125\/d + 16\/(-3). Put -2\/11, r, -4\/3, 1\/15 in descending order.\nAnswer: 1\/15, -2\/11, r, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -1) + 10 + -6 + -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 1, 30, 3\/7, 4, 60 in increasing order.\nAnswer: 1\/4, 3\/7, 1, 4, 30, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(3 + 15\/(-9)). Suppose 3*f = 12, g*c - 5*f - 56 = -0. Suppose 538*h = 527*h + 198. Are h and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**3 + 34*k**2 - 33*k + 17. Let s be i(16). Is 3 + (s\/1 - -15413) - -4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2453*f + 2454*f = -u + 31, -93 = -3*f - u for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 102\/(-4)*(-172)\/3. Let y be (a\/4 - 1)\/((-6)\/(-40)). Suppose l - y = 260. Round l to the nearest one hundred.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 4*j**2 + 3*j + 7. Let s be x(5). Which is smaller: -5\/3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39666 and 1287?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 6*q**2 - 72*q + 19. Let g be p(12). Solve 0 = -2*l + 4*w - 4, -4*l - 4*w - g = -w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04 at least 0.43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -12*f**2 + 623*f + 52. Let x be y(52). Solve 4*t + 15 - 27 = x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3588806 is divided by 38589.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17690, -35400, -53110?\nAnswer: -70820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2842236km in meters?\nAnswer: 284.2236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 501 a factor of 197527767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151 + 7*z + 25*z + 1 - 160 + 13*z.\nAnswer: 45*z - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 9:41 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5222?\nAnswer: 2, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 5\/24*f**4 + 0 + f**2 - 1\/2*f**3 - f. Let q(v) be the first derivative of a(v). Find the first derivative of q(w) wrt w.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-13)\/(-4)*-1 - 22572\/(-839376)*-29.\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xq when two letters picked without replacement from {q: 4, z: 2, x: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64\/5 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**7\/280 - f**6\/360 - f**5\/120 + f**3\/6 + 16*f**2 + 33*f. Let y(i) be the second derivative of n(i). Give y(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/7)*s*s\/(s*(s**(11\/5)\/s*s)\/s)*(s\/(s*s\/((s\/s**(-27\/4))\/s)*s))**(-6\/7))**15 assuming s is positive.\nAnswer: s**(-111\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 0. Suppose -f = -3*s - h*f - 196, -2*f + 4 = 0. Calculate the common denominator of s\/5*9\/(-12) and 10\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 5*b - n + 16, 5*b - 3*n = -27 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3*44)\/(1 - (-5)\/(-20))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - ((-1353)\/(-1))\/((-33)\/44). Suppose 5*p + 148 = u. What are the prime factors of p?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 9. Let u = -1 - q. Let w(p) = p**2 - 2*p - 3. Give w(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**5\/30 + 15*o**4\/2 - 136*o**3\/9 + 7027*o. Determine k so that u(k) = 0.\nAnswer: -136, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6054930493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.731744975 to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15805 is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p + 40. Let q be j(-20). Solve q = 2*w - w + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f - 4*x - 20, 3*f + 3*x - 9 = 0. Suppose -f*k = -5*k + 74. What are the prime factors of k?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + x + 2 = -1, 4*r = -2*x - 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/3 (b) -5 (c) -2\/21 (d) -140 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 50 = s. Suppose 3*n - 35 = -4*v, 0 = -2*n + 3*v + v - s. Suppose 222 = n*g + 72. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, q: 2, v: 1, d: 1}. What is prob of sequence qv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 6:56 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/207648 and 37\/571032.\nAnswer: 2284128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 30534, 30171, 29808, 29445, 29082, 28719?\n\"Answer: -363*o + 30897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1, -22, -57, -112, -193, -306, -457, -652?\n\"Answer: -r**3 - r**2 - 11*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 895 is divided by 245?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 1702*o + 5 + 13*o**2 - 3*o**3 + 7*o**2 - 1711*o. Let v be f(6). Differentiate -6*p + 846 - v*p - 853 wrt p.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23676, -47300, -70924, -94548, -118172, -141796?\n\"Answer: -23624*y - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000124775 rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 486442753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13873551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 7 - (54 - 59) - -19.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*i - 0*y + 30782, 3*i = -3*y + 46137. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 932\/8493 - 2\/447. Which is the nearest to 0? (a) 1 (b) -13 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75794400 by 336864.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.5 + 3.5. Let n = 3 + t. Which is the third smallest value? (a) 0.1 (b) n (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k + 3. Let u be l(-5). Suppose 2*p + 50 = 4*z, -10 = -3*z + 2. Let o = u + p. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10179*t - 9493 with respect to t.\nAnswer: -10179","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.378 to 2 dps.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*s - 15*s + 38 - 920 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*q + 24*q - 5 + 0*q - 1.\nAnswer: -13*q - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -2 (c) 87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -114 + 115. Let o = -0.2 + 0. Let x = o - -0.8. Which is smaller: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by (-2 + 4 - 1)*(-2755)\/(-95)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18.5 at least -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3, -4.\nAnswer: -11, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-5*12\/(-75)). Suppose -4*f = f + 20, 3*a - 1456 = -h*f. List the prime factors of a.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + -5 + 3 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9695 + -5872. List the prime factors of g.\nAnswer: 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/5710 and -1\/1045.\nAnswer: 1193390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 1.8. Let m = -61.6 - -187.8. Let o = -126 + m. Which is the second biggest value? (a) 3 (b) d (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, q: 2, z: 3, a: 9}. Give prob of picking 3 v.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + r + 12 - 4 = 0, -4 = -t + 3*r. Let x be (-9)\/24*(35\/t)\/21. Which is the third biggest value? (a) x (b) -2\/25 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) -0.4 (b) -14 (c) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 2 = 2*c + 4*j, c + 5*j = -15. Let d be 25 + -24 - (-20 + c). Which is bigger: d or 59\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*s - 147*s + 100582*s**3 + 51*s + 47*s.\nAnswer: 100582*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 - 3*s**5 - s**5 + (2*s - 4 + 4)*(3*s**4 - s**4 - s**4) - 31*s**5 - 64*s**3 + 64*s**3 - 3*s**5 + 3*s**5 - s**5.\nAnswer: -33*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*z + 2*z = 0. Suppose -2*a + 3025 = -3*a - 5*r, z = -3*a + 4*r - 8980. Round a to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 + -202?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 5*z**2 - 23*z - 106. Calculate u(-6).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 - 7*c - 144. Calculate the remainder when 53 is divided by a(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/19415 and 83\/24078130.\nAnswer: 264859430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 560529 and 61.\nAnswer: 560529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeue when four letters picked without replacement from {f: 1, a: 1, s: 1, u: 4, t: 5, e: 3}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 9 = 5*y - 3*s, s = 2. Let n be (4108\/3 - y\/6) + -1. Suppose -2*k - 4*k = -n. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*w**4 + 784*w**3 + 2*w**2 - 16530 wrt w?\nAnswer: -12*w**3 + 2352*w**2 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121610, -243219, -364840, -486479, -608142, -729835, -851564, -973335?\nAnswer: -1095154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 + 494 = -169*x - 292. Which is the nearest to x? (a) -2\/9 (b) 10 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*u + 3962941 = 1103286. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve k = -0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/16 and 43\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 75677599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -30\/62579 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -21*d. Let v(l) = -l - 5. Let m(b) = -2. Suppose 9*o - 18 = 6*o. Let k(s) = o*v(s) - 15*m(s). What is -18*k(f) + 5*u(f)?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**6\/30 - 8*r**5\/25 + 11*r**4\/10 - 8*r**3\/5 + 9*r**2\/10 - 232. Factor u(m).\nAnswer: m*(m - 3)**2*(m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122389098 divided by 61194549?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + -28. Let s(p) = p**3 - 7*p**2 + p - 1. Let c be s(6). Let l = -7 - c. Calculate the greatest common factor of o and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-6) - 6150\/12348. Let s be 1\/(-8 + 7)*1. Is v >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/10)\/(k*k\/k**(-3\/4)))\/(k**(-1))**(1\/58))\/((k**(-1))**(-2\/37)\/(k**3*k**(-2\/15))) assuming k is positive.\nAnswer: k**(11579\/64380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/8))**(2\/55)\/(k**4*k)**(17\/6))**(2\/77) assuming k is positive.\nAnswer: k**(-9353\/25410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.865 - 0.565. Which is the biggest value? (a) 0.018 (b) x (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + (-1248)\/108)\/(2\/(-25) + (-2184)\/(-19800))?\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + 0*p**2 - 2*p**4 - 4*p**4 + p**4 + p**4 + (p**2 + 0*p**2 + 0*p**2)*(-3 + 3 + p**2) - 11*p**4 - 17*p**4 - 5*p**4 - p**4 - 4*p**2 + 4*p**2.\nAnswer: -37*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15415211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(3*o - 2*o - 3*o)*(13 - 6 - 27 - 3 + 1 + 4 + (-2 + 4 - 5)*(-4 + 2 + 1) + 4 - 1 + 2)*(-1 + 0 - 1) in the form y*o + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/5*(-15006)\/1476?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3 = 3*m - 3, m - n = 0. Let b be 30\/9 + 2\/m. Find the third derivative of 6*d**4 - 3*d**6 - b*d**4 - 2*d**4 - 2*d**2 wrt d.\nAnswer: -360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*f - 15 = -123. Let l(m) = m**3 + 8*m**2 + 25*m + 104. Let a be l(-5). What is the fourth smallest value in -1, a, f, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 337*d**2 + 24729*d + 3632. What is t(399)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 11*z + 4*g - 2866, -3*z = -2*g - 4339. Calculate the greatest common factor of 117 and z.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1367717258?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*t = 2*x, -2*x = 3*t. Let l = 2 + x. Suppose -4*f = -s - 195, -f + 2*s = -l*s - 30. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(2 + 57*y**3 - 17*y**3 - 11*y**3).\nAnswer: 29*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 2. Suppose -6*k = -l*k + 112. What is the units digit of 4*1*k\/(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-6) + (-2)\/(-6). Let k(y) = -30*y**2 - 2*y - 5. Let p be k(3). Let d = -277 - p. Solve -d*s + 15 - z = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 336*s - 344*s. Solve 0 = -3*d + 4*y - 23, s = d - 4*y + 22 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10405 - -21459. Let t = a - 11054.29955. Let j = t + 0.3. What is j rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 131 + -2?\nAnswer: 12f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**5\/7 - 5784*s**4\/7 - 172065*s**3 + 1244796*s**2 = 0. Calculate s.\nAnswer: -196, 0, 7, 2117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-2) - (11055\/(-30))\/11. Let j be (-1684985)\/i + 3 - (-16)\/(-28). What is j rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10248\/280 - 37)*(-3)\/(-2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) - 1*sqrt(3240))*2)\/((sqrt(55)\/(sqrt(66)\/sqrt(6) + sqrt(11)) - sqrt(5)) + sqrt(30)\/sqrt(294)).\nAnswer: 448*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-308)\/(-3) + 6\/(-9).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-22))\/((-2)\/1). Let d = 458\/55 + -96\/11. Let t be (-9)\/(-2)*3\/9. Which is the biggest value? (a) t (b) m (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -3*h**5\/20 + h**4\/12 + h**3\/2 + h**2 - 157*h. Let w be v(0). Determine l, given that 2\/3*l**w + 16\/3*l + 32\/3 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 15) to base 13.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 0.1023, 1?\nAnswer: 0.1023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgr when three letters picked without replacement from {h: 1, r: 3, m: 5, g: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 8 = -0*o + o, -619*p + 9 = -3*o - 623*p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1815 is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/123685758 and 29\/53008182?\nAnswer: 371057274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4006 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 335 and 6?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4907060 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 6*r + 13. Let o = 227 - 241. Is n(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -195*c + 89*c + 1674800. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 557 divide 468139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5906, -11818, -17756, -23732, -29758, -35846, -42008?\nAnswer: -48256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -3, 1.25?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1396.203 - 1397. Let j = 0.8 + p. What is j rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198929 is divided by 140.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 8 + 6 - 10 = 0, -t = -3*s - 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -44. Let r = 22.7 - l. What is the second biggest value in -2\/13, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/((-9)\/45)*48\/5 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 51. Let p = -19 - x. Let d(l) be the third derivative of -l**5\/30 - 2*l**2. Give d(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/822416 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1388242 to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12010 (base 3) to base 15\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670033757 is divided by 6241?\nAnswer: 6238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -10*f + 4. Let x(q) = -q - 1. Let i(t) = -m(t) - 2*x(t). Is 11 a factor of i(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 13\/7, 0.1, -5, -2\/25, 11 in increasing order.\nAnswer: -5, -4, -2\/25, 0.1, 13\/7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*v - 342*b = -171*b - 170*b + 117, 2*b = -3*v - 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3. Suppose -5*v + 9 + 1 = a. Suppose 14 = 3*z - o, -v = -z - 2*z + 4*o. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 11:23 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -85 + 6a6?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h**3 + 7*h**2 - 5*h. Let o(w) be the first derivative of w**4\/2 + w**3 - w**2 - 28. Let z(s) = -6*n(s) + 14*o(s). Factor z(r).\nAnswer: -2*r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 264767 + -264771.199915. Let z = -4.161 - 0.039. Let k = v - z. What is k rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86532 + -59306. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -12*j + 7*j. Let y(b) = j - 5*b**2 - 9*b - b**2 + 7*b**2. Let f be y(9). Sort f, -5, 4.\nAnswer: -5, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y - 21. Let n be k(-3). Let v be (8\/((-32)\/n) + 1)*1. Solve -2*p - v = 3*s, p = -3*p + s - 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 - 8)*(-4*l + l + 0*l) as n + g*l and give g.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 6*a - 3. Let g be q(7). Suppose 18 = 2*h - 5*x, -g = -0*h + h + 4*x. Find the second derivative of 3*v**h + 5*v**3 + v - 5*v**3 - 4*v wrt v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 168*d - 3113 - 4262 + 4030 - 3879 for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 10*t - 12. Let a = -31 + 134. Let u = a - 97. What is the tens digit of m(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4 < 23771\/2576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6 (b) -4 (c) 212 (d) 1\/6 (e) -0.48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18462*d + 18646*d - 6440 = 0 for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 5*o - 13*o**2 + 16*o**2.\nAnswer: 3*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-9 + 3 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/3 + (-2)\/(-6). Suppose -4*k + 3*z = 2*z - 7, -2*k + z + 3 = 0. Suppose -2*f + 5*j - 7 + 23 = 0, k*j + 40 = 5*f. Solve 6*s - b*s = f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(-2)\/((-8 + 2)\/3). Suppose -4*k + n*b - 5*b + 29 = 0, 2*k - 22 = -2*b. Let y(o) be the first derivative of 3*o**2\/2 - 6*o - 1. Determine y(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 p when two letters picked without replacement from {x: 2, p: 1, h: 1, u: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 - -1562. Calculate the greatest common factor of 75 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = m - 1000, -m = 4*r + 4*m - 821. Let g = -24 + r. Let c be 2\/(-5) + 70\/g. Which is bigger: c or -1\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -2\/11 (b) -0.4 (c) -0.79 (d) 1\/128 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 18 = 4*z. Suppose -5*x = z - 952. What is the greatest common factor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 - 8) + (-16)\/2. Let f be 86\/d - (-2)\/7. What is the smallest common multiple of 22 and -4*-3*(-4)\/f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: Let x(o) be the first derivative of 3*o**5\/5 + 45*o**4 + 954*o**3 + 2262*o**2 - 7569*o + 514. Solve x(l) = 0.\nAnswer: -29, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.06, 2, -4 in decreasing order.\nAnswer: 4, 2, -0.06, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srz when three letters picked without replacement from {z: 1, r: 1, s: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2397 + 9221. List the prime factors of s.\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.51 - -3.5. Let q = r + 0.21. Which is the second biggest value? (a) q (b) 3\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*u + 2, -i + 22 = -4*i - 5*u. Let j(n) = n + 6. Let x be j(i). Let o(h) = -h**x + 2*h + 1 + 0*h - 4*h - h. Calculate o(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 9*o**2 + 3*o - 3. Let i be u(-12). Let y = -257 - i. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5)*v*v\/v**1*v)\/((v\/(v**(3\/26)*v))\/v**(-2\/17)) assuming v is positive.\nAnswer: v**(5299\/2210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 5193.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t - 3*t + 11*t - t**3 - 3*t + 2*t**4 as f*t**2 + o*t**3 + q*t + n*t**4 + x and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/3 + 584*w**2 - 125528*w - 3125824\/3.\nAnswer: -2*(w - 442)**2*(w + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-11))\/(14700\/(-8085))*1\/(6\/(-4))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 76, 115, 176, 265, 388, 551?\n\"Answer: q**3 + 5*q**2 + 17*q + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 4. Find the third derivative of 2*l**2 + 2*l**2 - l**4 - 2*l**u wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (82\/123)\/((-4)\/402). Is (n\/2 - 0)\/((-45)\/33030) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hthhhhtthhhhhh.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 24062594*j. Let u(g) = -7*g**2. What is y(u(r))?\nAnswer: -168438158*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + 10*a**3 + 0 + 0.\nAnswer: 10*a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1198 + -1194. Let i = 98 + -103. Sort -0.2, -6\/11, i, d in increasing order.\nAnswer: i, -6\/11, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 7*c**2 + 7*c - 3. Let u be w(-8). Suppose 0*z + 4*z - u*l - 56 = 0, 0 = -5*z + 3*l + 83. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605 is divided by 91?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -141 - 48. Let d = 217 + c. Let l(b) = b**3 + 7*b**2 + 4*b + 4. Calculate the remainder when d is divided by l(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*q - 267. Let l = q + -447\/5. What is the nearest to 0 in l, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*q + 4. Let l be 24\/(-4) + 11 + q. Let o(a) = a**2 - 5*a - 10. Let c be o(7). Sort l, -2, 2, c.\nAnswer: l, -2, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 39851437.05395 and 2.\nAnswer: 39851439.05395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 61?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -422 (c) -0.08 (d) 0.3 (e) 0 (f) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 4:32 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36.5 + -41.5. Let p(f) = f**2 + 13*f + 10. Let k be p(-13). Which is the second smallest value? (a) -4 (b) o (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1508162143?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 0) + 7 + 4. Suppose -6*i - 418 = -3*x - 2*i, 0 = -3*i - w. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -766? (a) -0.5 (b) 2\/5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9564 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j - 31. Let i be f(-6). Which is smaller: -11 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16517288.\nAnswer: 2, 641, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 25. Suppose -22*w + b*w = -6. Calculate the remainder when 3 is divided by (3\/w)\/((-1)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 582\/8*(-40)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310004 is divided by 30995?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = c - 31, 27 = 2*c + x - 4*x. Suppose c*a - a + 3*k = 46, 0 = -2*a - 5*k + 26. Let r = 0 - -22. Calculate the least common multiple of a and r.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 5*g - 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (92 - 0)*1\/2. Solve -z = -5*y - 41 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2\/946*-11.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 657631 <= 657631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 833*x - 43316. Calculate u(52).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5061 greater than or equal to 5059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 897550 a multiple of 725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 0*u - 56. Let g = u + 20. Suppose 3*s = g*s + 5*m - 6, -3*m = 2*s - 4. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4 - 9216*s**3 + 1776684*s**2 - 82346264*s.\nAnswer: -4*s*(s - 91)**2*(s + 2486)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vivwwvvovwbvn. What is prob of picking 1 v, 1 n, and 1 w?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 + 9*s**2 + s - 2. Let f be d(-7). Is f\/(-6) + (-6)\/18 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, 12387, 4, -0.2, 2, -3, -2\/61?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -634460 (base 13) to base 6\nAnswer: -121442315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 300*v + 5. Let d be s(0). Solve 4*i - 2 = 3*z, d*i + 5 = -3*z - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 37\/2, 4, -4?\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j - m = -6494, 3*m = 4*j - 5199. Is j a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*l + 189*l - 310*l + 2*l**2 - 110*l.\nAnswer: 2*l**2 - 454*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.5899453 - 0.0128006.\nAnswer: 5.5771447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/18 + (-124)\/(-6). Suppose -2*o + b - 7 = -5*z, 2*o - z = 6. Put o, 6, 0 in descending order.\nAnswer: 6, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/2756 and 15\/30316.\nAnswer: 30316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9350415.\nAnswer: 3, 5, 47, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86740?\nAnswer: 2, 5, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 7*l - 3. Let f be s(-7). Let t be -7*(17\/7 + f). Solve i + t*i = -2*b + 7, 5 = i + 4*b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 7*m**3\/6 + m. Let g(j) = 18*j - 10. Let v(t) = 21*t - 12. Let b(p) = -6*g(p) + 5*v(p). Determine r(b(h)).\nAnswer: -21*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 547367 < 548039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 - 7*h**2\/3 + 1249*h\/3 - 12857\/3.\nAnswer: -(h - 23)*(h - 13)*(h + 43)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/8 and -49\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 630?\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*i = -15, i = -2*u - 2*i + 30. Solve 0*b - b + 3*a + 15 = 0, 2*b - 3*a = u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 6*j - 63*j + 12915. Calculate the remainder when j is divided by 144.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h**1\/h)\/h))**(-2\/71)\/(h**1)**(6\/13) assuming h is positive.\nAnswer: h**(-478\/923)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p**3 + 55*p**2 + 68*p - 99. What is w(12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 - (-68)\/5)*(-15)\/(-2) is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*d + 36, 4*q - 68 = 4*d + d. Suppose 4*p + 18 = -3*z, z - 2*p + q = -z. Let i = z - -13. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 2*t + 3. What is the tens digit of f(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 35. Let d be (5\/(q\/(-63)))\/((-15)\/10). Let f = 30 - d. What is the remainder when 30 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -0.5, 7, -1\/4, 12 in ascending order.\nAnswer: -0.5, -1\/4, -0.05, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-7\/5)*o**6*o**(-8)*(o**(-7)\/o)\/o*(o\/(o\/(o*(o*o\/(o*o*(o\/(o\/(o\/(o\/o**0))*o))\/o))\/o))*o)**(-1\/2)\/(o\/(o*o**8*o*o)*o*o*o**4*o) assuming o is positive.\nAnswer: o**(-109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 0*x**2 - 3 + 17*x + x**2 + 79. Let h be r(-8). Suppose 0 = -d - h*m + 38212, -2*m - m = -5*d + 190991. Round d to the nearest one thousand.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**3\/6 + 17*y**2\/2 - 11*y. What is the units digit of a(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31540045 (base 6) in base 12?\nAnswer: 38a625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -30*f**3 + f. What is the tens digit of h(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 6303.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -456, -756, -1050, -1332, -1596, -1836?\nAnswer: -2046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c = -5*h - 2880, 2301 = 4*c - h. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*((-2014)\/(-19))\/(300\/30).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - -14*(-4)\/(-8). Suppose 2*n + 2*n + 87 = h*j, 0 = -3*j - 3*n + 36. Let z = -10 + j. What is the lowest common multiple of 3 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -27 + 8 + 10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*m - 23 = 0, 0 = 3*f - 8*f + m + 11. Suppose -425 = -f*g - 2*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1552 - -1557. Solve -8*s = -d*s + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*g = -z - 65, 195 = 5*z + g. Suppose 0 = -3*f + 8*f - z. Calculate the lowest common multiple of 44 and f.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zptzxtpx. Give prob of picking 1 z, 1 t, and 2 x.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-228)\/399)\/(0 + -2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1351*j - 845*j**2 - 1351*j + 276*j**2.\nAnswer: -569*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10614 by 6.\nAnswer: 1769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*sqrt(98).\nAnswer: -28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/((-24)\/8))\/(-1). Suppose 8*k = p*k + 2*g + 3508, 0 = -3*g + 3. Is 78 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -191079454\/13 = -14698420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/105*(-860)\/(-258))\/((-15)\/(-140)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lffl. Give prob of picking 2 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -15*y**2\/2 - 14*y - 3. What are the prime factors of m(-6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2004.923, 2.4, 3\/4, -5, 0.1 in increasing order.\nAnswer: -5, 0.1, 3\/4, 2.4, 2004.923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-162)\/(-189)*7\/8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfqa when four letters picked without replacement from zkzzazifazkaq?\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -11 - (-33)\/(-7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -653.743 times 3?\nAnswer: -1961.229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + (21 - 26) + 28?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-2\/19)\/z))\/(z**(2\/9)\/z)*z**(-2\/5)\/(z*(z*z*z*z**0*z)\/z*z) assuming z is positive.\nAnswer: z**(-2152\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 113\/(-374) - (-342)\/1254. Which is the closest to -1? (a) z (b) 8 (c) -0.5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/210 and ((-12)\/(-36))\/((-210)\/1314)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 232 by -58.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -22?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(6\/13)\/(z\/(z*z**5))*(z**(7\/5)\/z)\/(z**2\/z) assuming z is positive.\nAnswer: z**(316\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315907 is divided by 99?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -0*g + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1852 + 24080\/13. Solve i - 4\/13*c**2 + 6\/13*c - 6\/13*c**3 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n = -12*n + 65. Let f = 1\/45 + -49\/180. What is the third biggest value in 3\/2, f, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33377\/4104 + -4\/513. Let t = 4\/7597 - -387383\/121552. Calculate the common denominator of y and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8877658 or 8877662?\nAnswer: 8877662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/21 - 200\/525. Are h and 26\/31 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.412 - 4.402. Round c to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 70*u - 9673. Let t be f(140). Solve 0 = 148*k - t*k + 84 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/6 + 1\/2. Let y(j) be the first derivative of 0*j**2 + 2*j - 1 + m*j**3. What is the derivative of y(d) wrt d?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**2 + 2910*q + 480447 = 0 for q.\nAnswer: -759, -211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1331))**2 + 0.\nAnswer: -22*sqrt(11) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74016 by -6.\nAnswer: 12336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 14*x + 1. Let d(q) = -q + 1. Let k(m) = -m. Let f(z) = -2*d(z) - k(z). Let a be f(-3). What is the units digit of u(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5 = -4*a + 2*i, 8 = 3*a - 2*i. Let c(d) = -165*d + a - 2 + 164*d. Let y(q) = 2*q**2. Calculate y(c(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -176 and -176 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31048 is divided by 1036.\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24588)\/14)\/(-3) - (-333)\/(-777). Calculate the greatest common divisor of 855 and f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12022100 (base 3) in base 13?\nAnswer: -19b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**6\/135 - 17*s**5\/30 - 40*s**4\/3 - 64*s**3 - 16*s. Solve l(h) = 0 for h.\nAnswer: -24, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqyqqqqqqq. Give prob of picking 1 q and 1 y.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 8145.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4 = -a, 23 = 5*a + 3*q - q. Let x be (-6)\/(-15) - 22\/a. Calculate the remainder when 13 is divided by (-21)\/(-4) - (-1)\/x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2297, 3\/8, 1118\/11?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -97 + 24*l + 97 + 3*l - 4*l + 2*l - 5*l + l + 3*l + (-5 - 1 + 4)*(-3*l + 0*l + l) - 4*l + 4*l + l + (0*l + l + l)*(-3 + 1 + 1).\nAnswer: 27*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*w - 65 = 0, -5*x + 5*w = -53 - 332. Factor -32 + 46*o**2 + 89*o**3 - 186*o**3 - x*o + 91*o**3.\nAnswer: -2*(o - 4)**2*(3*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 11 = -4*j + 10, 0 = 3*u + 4*j - 23. Let d = u - -15. Let b be (6\/(-4))\/(8\/d). Let m(g) = g + 3. Calculate m(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**2 - h**2 - h - 9*h**2 + 4*h**2 - 4390.\nAnswer: -h**2 - h - 4390","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 1363?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37570505 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -128.78 + 127. Let a = 1.6 + y. Let t = a - -8.58. What is t rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a microgram in nanograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/(-66))\/(5\/465) and -48\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 1053*p**2 + 8*p - 5. Does 32 divide o(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -2\/71 (c) -138915 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w - 4*w - 1 - 4*w**2 + w**3 + 2*w. Give r(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/8)\/((-9)\/48). Suppose 0 = -0*h - h + 4. Suppose 2*o + 12 = -o - 4*y, 3*o - 12 = h*y. Solve -3*b - 3 = -c - m, -c = o for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 21*x + 13*x. Solve -8*v + x*v = 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**3 - 2. Let o = 203 - 142. What is the remainder when o is divided by q(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6) + 475\/(-75) + 5. Let m = -9334769\/59430 - -1\/4245. Let o = m + 157. Which is smaller: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.119 times -14682?\nAnswer: -1747.158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f + 3*f**2 + 3 - 7*f + 18*f + f**3 - 8*f to the form p*f + m + j*f**2 + i*f**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*h + 182 = -185 + 414 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -8, r + o = -o + 7. Let i(p) = -r*p - 7*p**2 - p - 2*p - p**3. Determine i(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 6?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - 0.3. Let s = 0.693 + -0.893. Which is the smallest value? (a) q (b) -3\/8 (c) s (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 658 - 318. Let b = 690 - o. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235205184.\nAnswer: 2, 3, 31, 43, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -0.2 (c) 8 (d) -68 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nq when two letters picked without replacement from nnnnnnnnnenqnennnnen?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*g*k + 48706*d*k**3 - g*k**2 - 8*g + 1010*k**3 with respect to d.\nAnswer: -g*k + 48706*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lflffllijljlffilff. What is prob of picking 2 j?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -403 - -403. Solve -3 = -4*r + j, 0 = 5*r - t*j - 2*j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255285067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -139\/12*z**4 + 0*z + 0 + 37\/3*z**3 + 327*z**2. Differentiate g(h) wrt h.\nAnswer: -278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 3*l + 18. Let q(t) be the second derivative of t**5\/20 + t**4\/2 + t**3\/3 + 9*t**2\/2 + t + 54. Calculate q(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00257902 minus -15429.7?\nAnswer: 15429.69742098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56503?\nAnswer: 56503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -af - -6513?\nAnswer: 6464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59790\/763 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1453 - -1446.947. Let m = 0.053 + j. Which is the fourth biggest value? (a) m (b) 0.3 (c) 1 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4. Suppose -43 = -3*h + 4*k, -h + g*h = -5*k - 11. Suppose h + 0 = 3*t. Solve 0 = -2*m + 4, -4*d - 4 = -6*d + t*m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1224443 (base 6) in base 10?\nAnswer: -65835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + x - 61 = 6*h, -2*x + 2 = 0. Sort h, -4, 4.\nAnswer: h, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70411610 is divided by 179?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135 divided by 135.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/243210 and 44\/72427?\nAnswer: 262910010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*l - 3*k - 42, l = -5*k + 44. Suppose -4*z + l = -21. What is the remainder when 18 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.109 and 116707?\nAnswer: 116709.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 11*h**3 + 18*h**2 - 11*h + 18. Give r(5).\nAnswer: 1788","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.24311 or 0.133?\nAnswer: 0.24311","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/10 - 8*8\/160. Suppose q + c*q = -2*f + 14, 63 = 5*q + 3*f. What is the highest common divisor of q and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72 at most as big as -72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*o - 1816 = 0, -4*o + 389 + 65 = s. Suppose -3*b + b - q = -233, -4*b + 2*q = -s. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + -0.6. Let q = s + 5. Let l = 46 + -46.1. Which is the closest to 5? (a) -0.5 (b) l (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -333*t**3 - 244*t**2. Let m(f) = -167*f**3 - 123*f**2. Let z(y) = -4*b(y) + 7*m(y). What is the third derivative of z(a) wrt a?\nAnswer: 978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*sqrt(2448) + 1.\nAnswer: 2 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) - (2 + (sqrt(833) - (1 + sqrt(833)) - sqrt(833))))*-2 + -1 + (3 + (sqrt(17) - (sqrt(51)\/sqrt(3) + 4)) - -2*(sqrt(17) + -1 + -1)))**2.\nAnswer: 208*sqrt(17) + 11508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12102 + -12012?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64.89 - -66.89. Which is the nearest to j? (a) -0.2 (b) -42 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a + 3d769?\nAnswer: 3d785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 880251092?\nAnswer: 2, 7, 17, 67, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3636404 (base 8) to base 7\nAnswer: 11326355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96) + (sqrt(96) - (sqrt(96) + (sqrt(96)*-3 - sqrt(96)) - sqrt(96) - sqrt(96))))\/(-4*sqrt(2)*-2).\nAnswer: 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 5:49 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -13*i**3 - 27*i**2 + 32*i - 20. Let j(c) = -2*c**3 - 2*c**2 + c + 1. Let l(b) = -7*j(b) + y(b). Calculate l(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6765883874 to the power of 1\/3, to the nearest integer?\nAnswer: 1891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 - 39. Let t = -62 - m. Suppose -2*v - t = -3*v. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1448, 26, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3271 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -327*g**3 + 3267*g**2 + 30*g - 8. Calculate r(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t + 2*t - 2*t**2 + 0*t + (-8*t + 0*t + 2*t)*(2*t + 0 + 0) + 2*t - 2*t - t**2 to the form l + o*t**2 + j*t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -35 (b) -37 (c) 0.46 (d) -0.03 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + (0 - 5) + 2. Suppose -3 = j*v - 3*q, 5*v = 30*q - 26*q. Which is the third smallest value? (a) -3\/5 (b) 2\/141 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -861 (base 11) to base 9.\nAnswer: -1370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 620072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 931157707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(175) + 5*-3*sqrt(175))**2.\nAnswer: 34297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15098?\nAnswer: 2, 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 11:09 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13\/35 + -4\/5. Let t = 1 - 1. Which is smaller: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1900846, 1900895, 1900944, 1900993?\nAnswer: 1901042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60 + -25. Calculate the remainder when u is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -16*v**3 + 5*v**2 + 7*v - 5. Let f(q) = -8*q**3 + 2*q**2 + 4*q - 2. Let z(u) = 9*f(u) - 4*o(u). Factor z(c).\nAnswer: -2*(c - 1)*(c + 1)*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2.02. Let v = -148 + 142.98. Let m = s - v. Which is the third smallest value? (a) -1 (b) m (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 6. Let c be p(6). Suppose c = -2*s - 2*s + 12. Suppose v - 48991 = 3*o, -s*o - 2*o + 15 = 0. Round v to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*w**2 + 489*w**4 - 493*w**4 + 8*w**2 + 2 + 65*w to z*w + y*w**4 + o*w**3 + g*w**2 + p and give z.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 3143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.63436 decades in centuries?\nAnswer: 5.863436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -176\/21 (b) -0.2 (c) 0.095\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 + 0.600296. Round w to five decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/6*(-6)\/(-5). Let j(p) be the third derivative of p**4\/12 + p**3\/3 - 7*p**2. What is the units digit of j(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 147*x - 5616 = 158*x for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**2 - 2*w + 1. Let x be t(1). Let a be (0 - 0)\/((-4)\/x). Suppose z = 3 - a. Solve 3 = -z*m - 2*v - 3, -5*v = -3*m - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/5)\/((-11)\/55). What is the derivative of -5 + 6 + 5 + b*i**2 - 4 wrt i?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 - 2*j**2 + 2*j**2 + (j + 3*j - 5*j)*(-j + 0 + 0) + (j + 3*j + 0*j)*(-2*j + 4*j + j).\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-21 + 20)) + 2\/10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2\/3 + 322030*o\/3 - 322025\/3.\nAnswer: -5*(o - 64405)*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -0.3, 64\/22697, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19904333243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 12:24 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10, -1450, -5744, -14320, -28606, -50030, -80020?\n\"Answer: -238*f**3 + f**2 + 223*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 818688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*f = -4*o - 4, -5*f = 3*o - 10. Suppose 6 = 2*i - o*i. Suppose i*r = -j + 14, 5*r - 21 + 3 = -j. What is the least common multiple of 1 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -50. What is the greatest common divisor of t and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 53124 = 5*q, 7*x - 31926 = -3*q + 15*x. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 6 + (-18 - -17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - q - 713 + 170, 3*q - 700 = -5*u. Suppose u = z - 127. Calculate the greatest common factor of z and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 37*n**2 - 37*n - 41. Determine k(-36).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9839262 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/384*14*4\/(-6)*-3?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*a**6 + 337224*a**3*h**3 - 1347*a**2*h + 6*a*h**2 + h**3 wrt a?\nAnswer: -720*a**3 + 2023344*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -152 (b) -81 (c) -0.1 (d) -32\/11 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16951986059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20917.\nAnswer: 13, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 177 + -103. Suppose -j = -w - 24. What is the greatest common factor of 56 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4 - 24. Suppose 4*p - 58 = 5*n, n = 4*p - 19 + 1. Let s be ((-4)\/g)\/((-14)\/n). Which is the nearest to -2\/5? (a) 0 (b) s (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 9 = -3*v - 22, 0 = -g - 2*v - 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 2.2, -3 in descending order.\nAnswer: 2.2, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/13 - (-414710)\/14690.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2 (b) 0.5 (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((-7875)\/(-10))\/(-25)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -9*s**3 - 169*s**2 + 47*s - 254. Calculate c(-18).\nAnswer: -3368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146 divided by -1.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280690332?\nAnswer: 2, 3, 13, 17, 53, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12643415 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 7 = -2*y, -3*y - k - 9 = -5*k. Suppose -5*z + y = -4. Let l be 0 + 2 - (-5)\/(-5). Is l smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 10019350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.63 - -0.33. Suppose 0 = 2*a + a - 30. Let f = a - 5. What is the nearest to 4 in f, -5, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449*o**3 + 2921*o**3 + 3*o - 2*o + 2175*o**3.\nAnswer: 5545*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34089*a - 269*a**2 - 1122*a**2 + 34087*a to the form x*a + i*a**2 + r and give i.\nAnswer: -1391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -188, 303, 1602, 4099, 8184, 14247?\n\"Answer: 65*j**3 + 14*j**2 - 6*j - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 216*i**6 - 4*i**2 - 15*i wrt i?\nAnswer: 25920*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-240)\/(-70))\/(2 - -1*24\/(-14)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 265.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*g**5 - 12*g**3 - 6*g**2 + 2*g + 469?\nAnswer: 580*g**3 - 72*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 419\/4 or 105?\nAnswer: 419\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 10:38 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -44*h + 14*h. Let l(i) be the first derivative of h - i + 5\/2*i**2. What is the first derivative of l(j) wrt j?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1067 + -1067. Solve c = 8*t + 164 - 148 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -915252 + 28384526\/31. Let h = w + -378. Is h < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8*c - 4. Let j be w(2). Suppose -3*y - 15 = 0, -4*y = 10*h - 9*h + 7. Suppose j*r + 47 = -h. Let l(v) = -v**2 - 3*v + 5. Calculate l(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -8, -0.1, -0.4 in ascending order.\nAnswer: -8, -6, -0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**2 + 191. Let j(t) = 7*t**2. Give m(j(x)).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2 + 2)*(2*n + n**4 - 2*n) + 6*n**5 - 4*n**5 + 4*n**5 + 10788*n**2 + 10*n**3 + 4*n**5 - 10791*n**2 - 8*n**3 - 2*n.\nAnswer: 9*n**5 + 2*n**3 - 3*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 540*b - 1 + 2606*b + 6164*b as z + o*b and give o.\nAnswer: 9310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r**3 - 65*r + 6. Let n(p) = 11*p**3 + p**2 + 131*p - 10. Calculate -3*n(a) - 5*v(a).\nAnswer: -3*a**3 - 3*a**2 - 68*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10, 0, 22, 56?\n\"Answer: 6*u**2 - 8*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -5*u + 4*u - 16, 2*i - 7*u = i + 92 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**5 - 123*y**4\/5 - 198*y**3 - 2464*y**2\/5 + 1152*y\/5 = 0.\nAnswer: -9, -8, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, x: 2}. Give prob of sequence xgg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzwwzzwzwvww. Give prob of sequence vzw.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 7, y: 9}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 3858.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from kifkhkaikikiki.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n - 4*n + 2*n)*(23*n - 4*n + 11*n) in the form a*n**2 + p*n + j and give a.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 less than -1?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3\/3 - 4447*a**2\/3 + 7418*a - 8904 = 0. What is a?\nAnswer: -4452, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1051.8 - -1059.8. Sort -0.3, n, 1\/6, 49 in increasing order.\nAnswer: -0.3, 1\/6, n, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f + 19*f**2 - 17*f**2 + 6*f)*(-3*f**2 + 4 - 4).\nAnswer: -6*f**4 - 36*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 924 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 1 = -2*m. Suppose m = -4*a + 8*a. Calculate the remainder when a - -28 - -2 - 0 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.503 to 1 decimal place.\nAnswer: 18.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/10)\/(1\/(-25)). Suppose -r + 65 = -5*o - 79, 2*o + i = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -56, -83, -124, -185?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -217696*o**2*p**3 - 12*o**2*p - 9187*o**2 + 5*o*p**3 + 9*o*p**2 + 47*p**3 + 2*p**2 - 2*p - 10 wrt p.\nAnswer: -1306176*o**2 + 30*o + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 100100011010111100101 (base 2) to base 13\nAnswer: 32a2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 + 62. What is the second derivative of 2*s + 0*s - m*s**3 - 2*s - s wrt s?\nAnswer: -36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96565776 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-16))\/(70 - 73)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 331 + -195. Suppose -b = -3*c + 20. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*3\/18*7*(-72)\/882?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 1002111011121?\nAnswer: -1002111011210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 173153581 to the power of 1\/2, to the nearest integer?\nAnswer: 13159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113985 = 2*t - 5*y, -4*t - 2*y + 228006 = -0*y. Round t to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 643220 to the power of 1\/2, to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65471 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -400 divided by -7.\nAnswer: 400\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21431 (base 5) to base 7.\nAnswer: -4230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 5*a + 65, 4312*v - 2159*v = 2157*v - 3*a + 18 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**3*h**2*y**2 - 2*a**3*h*y + a**3*h - 112*a**3*y**2 + a*h**2*y - 2*y wrt y?\nAnswer: -4*a**3*h**2 - 224*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58367?\nAnswer: 58367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*g - 107*g + 205*g - 7*t - 91 = 0, -2*g - 44 = 4*t - 0*t for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 5:02 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -35. Suppose 19 = -m*q + 75. Does 15 divide 6\/21 - (-832)\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -8*h - 308. Let o be m(-51). Let b(v) = -30*v**3 + v**2 - 1. Let p be b(-1). Suppose -p = 5*u - o. What is the remainder when 31 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 3*n. Suppose -3*m + m = -4*c + 56, 3*c - 5*m - 28 = n. Calculate the greatest common factor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - (1 - -1)) + -8 + 2 - 20?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26905 is divided by 5376.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 37\/4, -1, -0.05, 3, 0.2, 2\/9 in decreasing order.\nAnswer: 37\/4, 3, 2\/9, 0.2, -0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(200) - (-1 + sqrt(200) + 2 + sqrt(200))**2) + -5*(-1 + sqrt(8)\/(sqrt(8)\/sqrt(2))).\nAnswer: 25*sqrt(2) + 806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/484 and -95\/2984972?\nAnswer: 361181612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 5*x**4 + 3 - 8 + (x**2 - 2*x**2 + 0*x**2)*(x**2 + x - x).\nAnswer: -6*x**4 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11586 by -4850.\nAnswer: -5793\/2425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3920 divided by 280.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2.213*-2481\nAnswer: 5490.453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 14795\nAnswer: -1\/1345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*s**4 + 16*s**3 - 60*s**2 + 48*s - 10.\nAnswer: 2*(s - 1)**2*(s + 5)*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (313*o**2 + 265*o**2 + 162*o**2)*(-3 + 1 + 0).\nAnswer: -1480*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*k**5 - 61*k**4 - 27*k**3 + 4798089*k.\nAnswer: -580*k**3 - 732*k**2 - 162*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 30660145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u - 16*u + 10*u = -2160. Calculate the remainder when 1456 is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -12*m**3 - 5*m - 1. Let t be -1*(-35)\/(-14)*(4 - 168\/35). Let b(l) = -12*l**3 - 4*l. Calculate t*r(v) - 3*b(v).\nAnswer: 12*v**3 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (170\/4)\/(2\/4)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-234)\/4446)\/((-8)\/7144)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 5\/2 (c) 0.1 (d) -2354\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4676224 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 4 + 0 - (-3 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 154*w**2 - 19377*w - 10082856 wrt w?\nAnswer: 308*w - 19377","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2554840.\nAnswer: 2, 5, 23, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2265 - 3.869.\nAnswer: -3.6425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 13 + 13. Let j(o) = -32*o - 24. Let d(t) = 30*t - 12*t - 19*t - 1. Let h(f) = 24*d(f) - j(f). What is r(h(q))?\nAnswer: -64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 262528408532 minus 0.169?\nAnswer: 262528408531.831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*g + 184. Suppose 0 = -7*i + g + 122. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -146*x + 3893 + 1655 for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -5*o - 30, 0 = s + 119*o - 114*o + 18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14170 - -17526. List the prime factors of v.\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + -40?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-7 - -2) + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21\/5 in -3, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4049\/244 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-36)\/(-189)*(-3)\/(-2). Let n = 0.6 - -0.4. Which is the nearest to n? (a) 0 (b) g (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iki when three letters picked without replacement from itkikkikktttk?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1183805992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 401 + 105219296698\nAnswer: 105219297099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7505543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-3 + 2 + sqrt(176)) + -4)*-5)**2.\nAnswer: 800*sqrt(11) + 17700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(-1 + 1 - f**3 - 4*f**2 + 4*f**2 + 2*f**3 + (2*f + 2 - 2)*(-f**2 + 3*f**2 - f**2)).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - f - 46 = 0, -v - 6*f = -f - 1. Calculate the greatest common divisor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 10*r**2 - 9*r + 8. Let x be s(-9). Does 42 divide 6\/(-2) + (351 - 4 - x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*o + 5, -5*o + 5 = -2*o - i. Suppose -3*s + 143 = -5*w, 0 = -w - o*w + 2. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -425855\/12 - -35487. Suppose 3*z = -881 - 1561. Let c = z + 6491\/8. Find the common denominator of j and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2958319 and 25935?\nAnswer: 1729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {w: 2, o: 1, k: 13, r: 1}.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129723\/7 + -18533. Which is the nearest to t? (a) 0.5 (b) 0.01 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71\/285 - -1\/57. Let j be (3 - 3) + (-1 - 0). Which is greater: x or j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2, -0.3, 2.1, 157, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 2*n + 2, -c + 747*n - 2 = 748*n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2064, 2066, 2058, 2034, 1988?\n\"Answer: -z**3 + z**2 + 6*z + 2058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 246 - 167 = 0. Let w = -58 - v. What are the prime factors of (4 - 3)*(-405)\/(-5) - w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**13*((x*x**(-1\/4)\/x*x)\/x)**(18\/11) assuming x is positive.\nAnswer: x**(-295\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eiixxniixeevhve. What is prob of sequence hv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -12081*i + 169150. Calculate g(14).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 19*w + 1347. Let z be n(-70). What is the second biggest value in 0, z, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -36*w**2 + 368*w + 1839. What is r(-4)?\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i**3 + 65*i**2 + 2*i - 5. Let q(r) = 17*r**3 - 192*r**2 - 7*r + 17. Calculate -7*j(d) - 2*q(d).\nAnswer: d**3 - 71*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -4*k**7\/105 - k**4\/12 + 11*k**2. Find the second derivative of y(p) wrt p.\nAnswer: -96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1522534?\nAnswer: 2, 13, 31, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.53 and -375.\nAnswer: 198.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 526 and 22.\nAnswer: 5786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u + 14 - 14)*(u - 7*u + u).\nAnswer: -40*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -33*s**3 + 4*s**2 + 3*s + 1 - 2*s**3 + 0. Let h = 43 - 45. Is i(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 8 = 5*a, 2*a = -70*b + 65*b + 78 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*294\/(-4320) + 1\/(-20)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 18240137?\nAnswer: 18240143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -935735856 divided by 233933964?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**3 + 28*h**3 - 28*h**3 + 6*h**3 - h**3.\nAnswer: 13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -119256563, -119256564, -119256565, -119256566, -119256567?\n\"Answer: -u - 119256562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times 63891\nAnswer: -38334.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, d: 1, y: 2, x: 1}. What is prob of sequence xgg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.3 and 0.05.\nAnswer: -0.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 6, m: 1, s: 4, x: 2}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -75*d**3 - 1372*d**2 + 84. What is the second derivative of u(c) wrt c?\nAnswer: -450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) 2\/15 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - l**2 - 1. Let s(j) = -28*j**3 + 3*j**2 + 5. Calculate -5*p(b) - s(b).\nAnswer: 23*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101 + -11010001100000110?\nAnswer: -11010001011110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1)*i*i**(-15)*(i*i\/(i*i\/i**(-4))*i)**40 assuming i is positive.\nAnswer: i**(-135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297 = 86*r - 53*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 1. Let z be 24\/(-112) - (-243)\/(-42). Let s(n) = n - 2. Calculate z*s(h) - 10*o(h).\nAnswer: 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from effrferef. Give prob of sequence fef.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 161943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 8 = -2*x. Suppose 0 = -3*v + 4*j + 12, -5*v - 3*j + 20 = x*j. Find the third derivative of -26*m**4 + 21*m**v - m**2 + 5*m**2 wrt m.\nAnswer: -120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3067737?\nAnswer: 3, 47, 21757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30445300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 4*j + 563 - 343, 3*j = -2*h + 81. Solve 1510*p + h = 1486*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65.204 - -65. Let b = m - 103.796. Let s = b - -104.05. Which is smaller: 2\/17 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((530\/(-60))\/53)\/(2\/(-60)). Suppose -2*z = -a, 4*a = -a + 3*z. Suppose a + 2 = -l + f, 4*l + 4*f - 24 = 0. Solve 17 = -j - r*y, -l = y + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-136)\/6 + (-18)\/(-27))*(-1559)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (3 - -4)) + (-2)\/10 + (-236)\/70\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -z - 31. What is the remainder when z is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64839 and 367421.\nAnswer: 1102263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 43*o + 426. Let i be h(29). Solve 4*n - i = 0, 2*r - 5*n + 10 = 7*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*7 + ((-63)\/(-18) - 132\/(-88)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 201 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 843 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + a = 9, a - 1 = -2. Let m be (-2 + 2)*1 - n. Find the common denominator of (m\/(-6) + 1)\/((-40)\/270) and 15\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 14*l**2 - 23*l + 3. Give k(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3*(-134)\/(-3)*(-13)\/(-208) and 11\/15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30332020312 (base 4) to base 15\nAnswer: -472731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 27, 63, -18, 4 in decreasing order.\nAnswer: 63, 27, 4, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47.8 + -48. What is the second biggest value in -0.6, v, 1\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = i + 9, -2*c - 4*i - 7565 = -7579 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/79317 and -11\/219?\nAnswer: 5790141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2858 is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*u = -24*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2 - 6\/1 - -194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -1\/7, 0.4, -2.8, -33, 0.12?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 581404067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/42 + (90\/7)\/5. Put -5, -66, k in decreasing order.\nAnswer: k, -5, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 2*i + 11 + 1. What are the prime factors of x(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*i + 10204 = 52*i. Is 7\/14*i*(1 - -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuueeueeeuuuuuee. What is prob of sequence eeuu?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 541 - 540.5. Let f = 137\/3 + -46. Which is the nearest to f? (a) -2 (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000485818 rounded to 7 decimal places?\nAnswer: 0.0000486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 37*n**3\/2 - 17*n**2\/2 - 65*n. Let p(q) = -112*q + 16. Let x(s) = 3*m(s) + 2*p(s). Differentiate x(h) wrt h.\nAnswer: 109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 893 = -164*t - 583 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 - -8 - (-2 + 13). Suppose -5*o - 55 = -170. Calculate the remainder when o is divided by d*(-1 + 1 - 3\/2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -244, -503, -854, -1297, -1832, -2459?\nAnswer: -3178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 252\/24*(-2)\/6 - -1\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.966 and -0.088?\nAnswer: 0.085008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 451031 - 0?\nAnswer: 451031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(0 + 3\/15). Suppose 55 = -x*g - 15. Sort g, 0, 5 in ascending order.\nAnswer: g, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4*p**3 + 474243*p**2\/2 + 3514207320*p + 1317794400 = 0.\nAnswer: -29640, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1115199ng in tonnes?\nAnswer: 0.0000000000000001115199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/(u**(-6\/13)*u)*u)\/u))\/u**(1\/4))**(5\/2)\/(u**8\/((u*(u\/(u*u\/(u**6*u)))\/u*u)\/u))**(3\/26) assuming u is positive.\nAnswer: u**(51\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*o = -332 + 1116. Calculate the highest common divisor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*i**2*n**3 + i**2*n + 34*i*n**2*x - 10*n**3*x - 639*n**3 + 2*x with respect to i.\nAnswer: -28*i*n**3 + 2*i*n + 34*n**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2044 and -0.29541.\nAnswer: 2043.70459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*z**6 + 5250331*z**5 - 146023889*z**2 wrt z.\nAnswer: 600*z**3 + 315019860*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -183648671 - 3?\nAnswer: -183648674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2105 by 421.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 165, 269, 391, 537, 713?\nAnswer: 925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13314 (base 15) to base 5.\nAnswer: 3431234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -4*v - 11. Suppose -4*m - 8 = 0, -3*j + 5*m = -7*j - 58. Let q be 15\/(2\/(j\/(-9))). Solve 0 = -v*b + 4*b + q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 o, and 2 k when four letters picked without replacement from {q: 2, o: 4, e: 4, i: 1, k: 8}?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = -6*n - 40. Let d(q) = 3*q**2 + 2*q**2 - 4*q**2 + 4*q - 2*q**2 + 2. Let z be d(4). Solve 4*b + n = -y, -z*y = b - y + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 3*g - 4, 3*g + 8*i - 4*i - 7 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -140 + 89. Let o = -19 - f. Suppose 258 = 2*q - 2*k, q + 0*k - 131 = 3*k. What is the greatest common divisor of q and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(2)*-1 + sqrt(2) + 1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 14. Let s be f*((-64)\/(-12))\/4. Suppose 10 + 58 = s*i. Solve 19 = 4*j - 3*g - 4, -4*j = 3*g - i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -8*w - 1. Let n = 9 - 11. Let g be f(n). Calculate the common denominator of 15\/14 and g\/8*80\/12.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 64*(-3)\/(15\/(-10)). Suppose 0 = 5*g - 3*g + r. Let x = g + 73. Calculate the highest common factor of 54 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/11 (b) -1\/8 (c) 19 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4 - v + v**2 + 3*v + 1. Let c be d(-3). Let k(o) = -o**2 + 6*o - 3. Let b be k(5). Solve b*w - 4*s - s + 10 = c, -w - 5 = -2*s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1492 + -1124?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302 - 24*d + 312 - 625.\nAnswer: -24*d - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(2\/(-12)*-3). Let i be (k\/6)\/((-4)\/18). Suppose -x + 8 = 3*w, -i*w = 2*w - 5. Put x, 0.1, 1 in decreasing order.\nAnswer: x, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1*(sqrt(140)*-1 - sqrt(140)))\/sqrt(7))\/(sqrt(490) + sqrt(490) + sqrt(490)*-2 + sqrt(20)\/sqrt(2)*4).\nAnswer: -5 - sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 935 and 33.\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 5*l = 10. Suppose 4*z = 0, -l*s - s + 9 = 3*z. Suppose s*v - 82 = 4*b - 354, 3*v - 136 = -2*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/3*((3 - -2) + 34). Let r(v) = -2*v**2 - 26*v + 16. What is the tens digit of r(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000553897156 to 6 decimal places.\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-8) + -2 + 2. Let g = -0.064997 + 15.064997. Put g, 0.6, r in descending order.\nAnswer: g, 0.6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/5*m**4 + 9\/5*m**3 + 3\/5*m + 9\/5*m**2 + 0 = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000001010011011 + -111110110?\nAnswer: -10000010010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -340 - -343. Let s(w) be the second derivative of 0 + 5\/2*w**2 - 1\/2*w**l - 6*w. Let m(r) = -3*r + 6. What is -3*m(a) + 4*s(a)?\nAnswer: -3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 2*r - 9. Let d be t(5). What is the tens digit of (58\/(-4))\/(3\/d*-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((3 + 2 + sqrt(288)*-2 + -4 + (sqrt(288) - (sqrt(288) + sqrt(288)*1) - sqrt(288)) + sqrt(288))*4)**2.\nAnswer: -82976 + 2304*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 + 8)*(-1)\/(-2). Suppose -2*s + i*s + 5*h + 7400020 = 0, 0 = 5*h + 20. Round s to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times -66?\nAnswer: -924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + -32. Calculate the remainder when 57 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 679, 0.5, -3, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3752 + 50*m + 3752)*(m**3 + 2*m**3 - 4*m**3 + (-m - 2*m + 5*m)*(-3 - m**2 + 3)).\nAnswer: -150*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r - r + r)*(-10*r**2 + 6*r**2 + 11*r**2)*(-1 - 1 + 3)*(-1 + 2 - 2 + 0 + 2 - 4 + (-2 + 2 + 2)*(4 + 0 - 2)) to w + b*r**3 + t*r + z*r**2 and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3806428, -7612855, -11419282?\nAnswer: -15225709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0045 + 2.0045. Let o = -15 + 14.76. What is the third biggest value in o, 5, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*r = -39, -6*r = -3*b - 5*r + 51. Suppose 3*v = -6 + b. Suppose -s + 5*s = 2*l - 82, 0 = -5*l - v*s + 177. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 39 + -363?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-6*-4*-2*sqrt(28))\/(sqrt(144)\/sqrt(4) - (sqrt(144) + sqrt(144) + sqrt(144) + (sqrt(144) - sqrt(144)*2))))**2.\nAnswer: 1801\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 18 + 15)*((-2*o + o - o)*(-1 + 0 - 1) + (-2*o - o + 2*o)*(4 - 4 - 2))*(0*o**2 + 5*o**2 - 2*o**2) to n*o + q*o**3 + d*o**2 + r and give q.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 + j**4 + 3*j**4 + (0*j**3 + j**3 + 0*j**3)*(-1 + 1 + j) + j**4 - 5*j**3 + 5*j**3)*(-4 - 3 + 5)*(1 - 2 + 0).\nAnswer: 10*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 + 0 + 0)*(980390 - 980390 - 3328*y).\nAnswer: -6656*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.4 (c) 45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61616 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 880 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: Solve -5*o = -5*a + 10, 0 = 3*o - 7*a + 81 - 83 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -130 - -263. Let u = j - 113. Solve -15 = -3*k - 3*d, 4*d + 0*d = -3*k + u for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - r - 2 = 0. Find the second derivative of -8*k + 11*k - 4*k**3 + r*k wrt k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 57bd2 - 14b?\nAnswer: 57a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1058 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 195\/(-14) - ((-108)\/(-8))\/27. Let v = a + 15. Let -v*n**5 - 25\/7*n**2 + 4\/7*n + 0*n**3 + 12\/7 + 13\/7*n**4 = 0. What is n?\nAnswer: -1, -3\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/19603 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 times -0.5?\nAnswer: -91.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, y: 5, n: 5, c: 2, e: 1}. What is prob of sequence me?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236041?\nAnswer: 13, 67, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - 2*z**2 + z**2)*((-4 + 2 + 6)*(-z + 3 - 3) - 3*z + 3*z + 2*z).\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 2:25 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((1 - 1) + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g**3 + 4*g - 4*g)*(-14*g + 159*g + 85*g + 65*g) to the form y*g**2 + l*g + z*g**4 + n*g**3 + a and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1010010001000100000110?\nAnswer: 1010010001000100000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/11753 and -3\/20951.\nAnswer: 481873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, c: 7, i: 1, b: 2, v: 1}. What is prob of picking 2 c, 1 b, and 1 v?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -736635*p**4 - 91890*p wrt p?\nAnswer: -8839620*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of n**3 + 28*n**2*y**2 + 5*n*y**3 + 1500*y**3 wrt n?\nAnswer: 3*n**2 + 56*n*y**2 + 5*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*y + 8 - 5 - 3.\nAnswer: 33*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 85500, 85715, 86302, 87447, 89336, 92155, 96090, 101327?\n\"Answer: 31*r**3 - 2*r + 85471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdndm. Give prob of sequence dq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (62 - 91) + 0 - (15 - 1).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = n + 20 - 1, -3*s = -2*n + 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -19 in ascending order.\nAnswer: -19, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-1) + -2 - 2. Let b(x) = x**3 + 10*x**2 - 12*x + 10. What is the tens digit of b(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(2\/13))\/n)**(3\/19)\/(n*n\/n**(-2\/5)*n**(-13\/7)))**(5\/11) assuming n is positive.\nAnswer: n**(-4483\/19019)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103274 = -s - 2*a + 1186736, -3*s + 3*a = -3869985. What is s rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 190 + -113. Suppose 5*f - 65 = -5*a, -a = 3*f - 2*a - 31. What is the highest common factor of f and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3 - 3 - 1 - 42*p**2 + 5*p + 43*p**2. Suppose -3*s + 1 = 13. Give v(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 22*c + 144. Let t be f(-5). Suppose -i = -t*i + 104. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(36))\/((-1*sqrt(120))\/sqrt(10))*-6.\nAnswer: 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -5. Let r = -218166\/35 + 43636\/7. Suppose -8\/5*o + r*o**h + 8\/5 = 0. Calculate o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 20, 2*d + 10 = d - o. Let f(i) = i**3 + 7*i**2 + 6*i + 3. Let k be f(-6). Let r = k - d. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 8) to base 9\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4 = 34. Let q be (-2)\/v*(-2 + 1). Is q <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((519*2)\/(81\/(-18)))\/((-5)\/(-18000)). Round x to the nearest 10000.\nAnswer: -830000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 25. Let t(m) = m**3 + 5*m**2 - 5*m + 3. What is t(f)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001332 rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -7*n**4\/24 - 7*n**3\/3 - 6*n**2. Let l be c(-4). Let h = l + 1. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**6\/120 + l**5\/12 - l**4\/24 - l**3\/6 - 21*l**2. Let j be s(-5). Solve 4*d - j = -0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 * -85\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 5*s**2 + 3*s. Let v be x(-6). Let g = -539\/10 - v. Let z be ((-6)\/4)\/((-7)\/2). Put g, 2\/7, z in increasing order.\nAnswer: g, 2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 41 (b) -2\/11 (c) 0.01 (d) -5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eleeele. Give prob of sequence elee.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 405991, 405389, 404787?\n\"Answer: -602*l + 406593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 15, 9, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/7868616 and 52\/147?\nAnswer: 7868616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 493019231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2716, 5384, 8038, 10672, 13280, 15856?\n\"Answer: -y**3 - y**2 + 2678*y + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 108998\/5 + 4\/10. Round f to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171, 343, 515, 687?\nAnswer: 859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4872082399.\nAnswer: 53, 91926083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14 - ((45 - 34) + -35)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, l: 1, s: 1, z: 9}. What is prob of picking 1 z, 1 l, and 1 q?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x - 1. Suppose 2*j - 2*c - 14 = 0, -5*j = 5*c - 8 - 7. Let h(d) = d. Let p(k) = j*h(k) + v(k). Calculate p(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -9 + (8 + -4 - 9) + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 11600.\nAnswer: -1\/2900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 500.4992 kilograms?\nAnswer: 500499.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 114*v**2 + 4*v - 2. Let a(y) = 2*y**3 - 227*y**2 - 7*y + 3. Determine 4*a(p) + 7*u(p).\nAnswer: p**3 - 110*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1135, 633, 119, -401, -921, -1435, -1937?\nAnswer: -2421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -68 - 14?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457*s + 63 = 448*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -4. Let f be (-20)\/(-15) - 3\/x. Let a(g) = -g**2 - 73*g - f + 16*g**3 + 0 + 71*g. Give a(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 40 + 0 + (10 - 10). Suppose 4*l + 3*o = 32, -5*l + i = 2*o - o. Let k(t) = -t**3 + 9*t**2 - 5*t - 5. What is the units digit of k(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2059 (b) 0.13 (c) 2 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.83 * 12.\nAnswer: 45.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3079137 is divided by 38489.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(455\/(-63)) + -1)\/(22\/(-550))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1542471, 1542465, 1542459, 1542453, 1542447, 1542441?\n\"Answer: -6*h + 1542477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -230 (c) -3\/14 (d) 0.2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.134631s in milliseconds?\nAnswer: 3134.631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 8, g: 3}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Let i(m) = -m**2 + 3*m + 7. Let c be i(4). Sort c, 4, d.\nAnswer: d, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(12)\/sqrt(4))*-6 + 5.\nAnswer: -6*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1557*d**3 + 2078*d**3 - 295*d**3 + 2*d**3.\nAnswer: 3342*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19047*f**5*t - 23*f**4*t + 2*f**2 + 52*f*t + 602*t wrt f.\nAnswer: 1142820*f**2*t - 552*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 7. Suppose 0*c - z*c - 50 = 5*h, -4*c + 10 = -h. Let d be h\/4*12\/(-10). Solve 2*y - 14 = -d*q, 4*y - 5 = 4*q - 17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228437090 and 38960.\nAnswer: 4870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3344545 and 3810?\nAnswer: 20067270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10904 - -11984. What is the greatest common divisor of 2430 and c?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50800008 = 2*n - h - 3*h, 5*h - 101600029 = -4*n. Suppose -2*y = 2*l + n, 3*y + 4*l + 38100003 = 3*l. What is y rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5590786 by 5.\nAnswer: -5590786\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(128)*3*-4)**2 + 2.\nAnswer: -110590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/7 - 5\/(-7). Let f = -1 - 0. Let i = d - f. What is the least common multiple of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -336*w - 6723. Give z(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 k when three letters picked without replacement from {l: 10, k: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w = 58 + 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 - 1. Let t(m) = -10*m**2 + m + 2. Let q(y) = -2*t(y) - 7*u(y). Determine q(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86 - 24*a - 83 - 10*a + 12*a to n + t*a and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 9) to base 10.\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**2 + 26958*r - 5400315 = 0. What is r?\nAnswer: 205, 8781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664 is divided by 130?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 2. Let q(h) = -h - 3. Let f(m) = m**2 - 4*m - 1. Let t be f(5). Give t*q(l) + 7*k(l).\nAnswer: 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 23*t - 45. Let v be k(21). Let z(b) = b**3 + 3*b**2 + 3. Determine z(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2. Let r(c) = -3366 + c + 3365 - 5*c. Let b(x) = x**2 - 5*x. Let g(i) = -4*b(i) + 5*r(i). What is l(g(j))?\nAnswer: -16*j**4 - 40*j**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -2489.4?\nAnswer: 2489.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12259.999971805 - -12260. Round f to 7 decimal places.\nAnswer: 0.0000282","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 y, and 1 q when three letters picked without replacement from ydqyqkykyyyki.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 200 + -625632?\nAnswer: -625432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/(-49) + (-23)\/(-7). Factor -3*q**p - 147 - 7*q**2 - 7*q**2 - 91*q - 98*q - 31*q**2.\nAnswer: -3*(q + 1)*(q + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z*z\/z**4))\/((z*z*z**(33\/7))\/z))\/(z**(-4)*z**(-37)) assuming z is positive.\nAnswer: z**(275\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2833 divided by -5\nAnswer: 2833\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -611190 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 126*k. Let c(p) = -p**2. Determine c(x(n)).\nAnswer: -n**4 + 252*n**3 - 15876*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9631.407 decades in millennia?\nAnswer: 96.31407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2390\/13 - -184. Which is the closest to 0.2? (a) -0.1 (b) t (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 453, 439, 415, 381, 337, 283, 219?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -448 - -2249\/5. What is the biggest value in -2\/9, 9, 5, c?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b - 12. Let y be i(5). Let q(s) = s - 4*s**3 + 4*s**3 - s**3 + y - 24. What is q(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from atvtvpvactv. What is prob of sequence avt?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -670 or -666?\nAnswer: -670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2 - (-1145)\/(-10). Let o = l + 135. Let k be -1*(-32)\/(o\/5). Solve 0 = -3*t + 7*t + k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1764\/27)\/(-28)*(-3564)\/(-108)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/(22792\/10286))\/(((-6)\/(-63))\/((-6)\/(-9))).\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000931 rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 3:16 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 15 = 4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 + 5*i. Let w(z) = z**2 + 2*z. Determine 3*c(p) - 5*w(p).\nAnswer: p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 33 + 63. Suppose z - 187 = 4*p + 74, 3*p + 4*z + 172 = 0. List the prime factors of r\/p + 1002\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -161, 0.07, 8799?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 3. Let d be y(-8). Suppose -c - 3*a + 24 = 4*c, -4*a - 3 = -d*c. Suppose 3*m = -z - 4*z + 721, c*z - 481 = -2*m. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 12*h**2 - 10*h + 17. Let r be t(-11). Suppose 7*k = k - r. Does k = -30\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + s - 1. Let j(b) = 11*b**2 - 3*b + 3. Give -j(l) - 3*k(l).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s - 7. Let o be u(-5). Suppose -4*r - 6*d + 2*d = -96, 40 = 2*r + 4*d. Suppose v + r = o*v. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -690050, -1380108, -2070180, -2760272, -3450390, -4140540, -4830728, -5520960?\nAnswer: -6211242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**6\/360 - c**5\/40 + c**3\/2 + 3*c. Let x(y) be the second derivative of u(y). Find the second derivative of x(b) wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*m + 53*m + 5*v + 13 = 0, -v = -1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -88\/9. What is the closest to -2 in 2, f, 2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(((-7)\/(-210)*5)\/(4\/12)). Which is the nearest to 2? (a) 119 (b) f (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from {v: 9, u: 1, t: 6, m: 2}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 717028087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z + 0*z - 2*z + (-z - 60*z + 197*z)*(-3 + 3 + 2) to s*z + c and give s.\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1173 is divided by 361.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.6 + -3. Let v = 0.6 - i. Let n = -5 + 11. Which is the nearest to 0? (a) n (b) v (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1872, -1867, -1860, -1851, -1840, -1827, -1812?\n\"Answer: v**2 + 2*v - 1875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) 0.8 (c) 0.3 (d) 1\/4 (e) -517\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -2 + 10 + (-8 + 12 - 26).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 24 = 2*r - 3*r, 3*r - 3*b = 54. Suppose 7 = -3*c + r. Suppose -5*j = -9 - 41. Calculate the remainder when j is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 435 and 1740.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 5*x + 33, -4*x + 3 - 35 = 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51\/(-105) + 2\/7.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7803 + -7694.98. Let z = 108 - x. Round z to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - 8284?\nAnswer: -8273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -77*z**2 - 1 + 36*z**2 + 2*z - 1. Let h be c(4). Let v = 171 - h. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -27*o**5 - 168*o**4 + 183*o**3 + 12*o**2 - 24. Let r(a) = 25*a**5 + 168*a**4 - 182*a**3 - 11*a**2 + 22. Let j(s) = -11*b(s) - 12*r(s). Factor j(t).\nAnswer: -3*t**3*(t - 1)*(t + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h**2*s**2 - 6*h**2*s + 7*h**2 - 12*h - 395*s**2 + 41 wrt s.\nAnswer: -2*h**2*s - 6*h**2 - 790*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.017? (a) 0 (b) -1.7 (c) -1 (d) 72 (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 4 + 4)*((-10*y**2 - 137 + 137)*(-4*y + 2*y - 3*y) - 3*y**3 + 4*y**3 - 3*y**3 + (-2 + 2 - 2*y)*(-4*y - 2*y**2 + 4*y)).\nAnswer: -52*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-159)\/(-3))\/(((-12)\/48)\/((-10)\/(-40))).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 - 6*j**2 + 14)*(-4*j**2 - 2*j**2 + 4*j**2) + (5 - 5 - 3*j)*(-24*j**3 - 59*j**3 - 5*j**3) in the form s + n*j**3 + x*j + d*j**4 + w*j**2 and give d.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8786 - -8791. Which is the third biggest value? (a) 0.1 (b) s (c) -1\/8 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/15*1195\/(-478).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285332 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.95 and -27.\nAnswer: -28.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4306816, 5, 0.5.\nAnswer: 0.5, 5, 4306816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 186*c**3*h**2*s - 3*c**3*h**2 - c**3*h*s - 3898*c**2 - h**2 + 2*h*s - 2*h + s wrt c?\nAnswer: 1116*h**2*s - 18*h**2 - 6*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from vvvy?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -106*z**3 + 13672*z**2 + 316138*z + 5960 = 0. Calculate z.\nAnswer: -20, -1\/53, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*k = -2460*k + 172172 for k.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 16, 0.32 in ascending order.\nAnswer: 0.06, 0.32, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5512711888.\nAnswer: 2, 5279, 65267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2991035637750 and -0.3.\nAnswer: 2991035637749.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -6*t - 38. Let v be m(-5). Let z(y) = 3*y**2 + 8. Let j(b) = -b**2 - 3. What is v*j(a) - 3*z(a)?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 737 divide 86719652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/196)\/(((-33)\/66)\/(4\/3)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 32*s**2 - 103*s - 13. Calculate n(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180629601 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82 - 40. Let r = -317 - -146. Let j = i - r. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 - (15 + -7)) + (-8)\/(-2). What is the second biggest value in 0.18, 0, -4, -2, v?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 0.5, 2, 1.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u. Let m(s) = -2 + 14*s - 2 + 10*s - 19*s. Let v = 44 - 40. Determine v*n(r) + m(r).\nAnswer: r - 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: -1244582268 divided by 2\nAnswer: -622291134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95 - -94.5. Let s = 0 + 0.3. Which is the nearest to -0.2? (a) s (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 504 and 1152.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v + 14. Let y(u) = -2*u - 5. Suppose -m + 18 = 2*p, 3*p = -p - 3*m + 38. Let c(q) = p*y(q) + 3*j(q). Determine c(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -c + 37. Calculate the remainder when c is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22021 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 24*c - 39. Let u = 17068 + -17063. Give p(u).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1) + (-7 - (-9 - -5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -218. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(-14) - (-10)\/35. Let d be (-12 + 2\/1)*o. Let y = d + 29. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 8:26 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18692741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80.2 - 81.2. Suppose s - 8 = -3. Let k = 1 - 1. What is the third biggest value in k, c, 0.1, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*v + 2. Let s(o) be the first derivative of -o**4\/4 - o**3\/3 - o - 947. Let q be s(v). Solve q*p + 5*d - 3 = 0, 0 = 4*p - 2*d - 3 - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7919.78 - -8012. Let o = 19 - -74. Let g = o - f. Round g to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**5 + 384*m**4 + 2208*m**3 + 4360*m**2 + 3612*m + 1080.\nAnswer: 4*(m + 1)**3*(m + 3)*(m + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 2*g + 32, -4*r + 22 = 2*g - 0*g. Let v = 8 - 2. Let c = v - r. Solve -4 = -c*b - b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c - 2*c + 7*c + 18*c**3.\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1064*a**3 - 93126*a**2 + 278899736 wrt a?\nAnswer: 3192*a**2 - 186252*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 281*z - 577*z + 280*z. What is i(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 + -2 - -4 - -7. Suppose 0 = 5*l + 4*x - 19, 3*l + x - 6 = c. Solve -13 - 2 = l*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w - 5*r = -7, 2*w + 3 = 5*r. Let z be (w - 0)*(-25)\/250. Let j = -4\/25 + 41\/100. Sort j, 0.3, -0.4, z in ascending order.\nAnswer: -0.4, j, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113214 (base 6) to base 14\nAnswer: 3802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -1221.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 120583 + -844063\/7. Determine c, given that -u*c**2 + 4\/7*c + 0 = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9689?\nAnswer: 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*y**2 - 24*y**2 - 33*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 872?\nAnswer: -3488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(17) + 4 - sqrt(187)\/(sqrt(99) - sqrt(11) - sqrt(11)).\nAnswer: -2*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0 (c) 487427\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -26800 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 9:25 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -170*m + 16. Let n be 10*13\/(-14) + (-46)\/(-161). Let c be g(n). Suppose -7924 = -4*x + 4*j, 0 = x + 4*j - 430 - c. Round x to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -3*x**2\/2 + 13*x - 38. Let q be r(4). Which is smaller: q or -2\/139?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88866 (base 9) to base 7.\nAnswer: -334044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33017720 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnrvknkvkc. Give prob of picking 1 k and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3605501 and 52439?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2130, -117, 4, 6 in increasing order.\nAnswer: -117, 4, 5, 6, 2130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6*y = 51, 5*s + 7*y + 3 = 6*y. Which is the smallest value? (a) 0.3 (b) 10 (c) s (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 47230023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 0 + 2 + (-2 + 4 - 4)*(4 + 2 - 5))*(-10*d**3 - 2*d**3 + 14*d**3 + 33).\nAnswer: -20*d**3 - 330","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 35. What is the highest common divisor of d and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 3:53 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615584 is divided by 205125.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3710156 times -152?\nAnswer: 563943712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.50246012 to zero dps.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-11 + (-8148)\/(-742))?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13391886 to the power of 1\/3, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a meter in millimeters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002453 to six dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8933, -17867, -26801, -35735, -44669, -53603?\nAnswer: -62537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.56, -2\/5, -1, -19, -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*(n\/(((n\/(n\/(n*n**(-19))))\/n*n)\/n))\/n)\/n**(-4) assuming n is positive.\nAnswer: n**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75627 and 1782.\nAnswer: 4991382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*w + 282 = 0, 4*w + 438 = 6*d - d. Let p be (0 - -1)*12*(-9)\/d. Which is the second smallest value? (a) 0 (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3162 times 3?\nAnswer: -9486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a. Let w(h) = 11*h - 337. Let q be w(31). Let f(i) = i + 2. Let b(t) = -2*t**2 + 2*t - 1. Let v be b(1). Give q*u(r) + v*f(r).\nAnswer: 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 151*v**2 - 1226*v + 7239. Give c(-142).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 13*b + 56. Calculate the remainder when 167 is divided by c(13).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6477829?\nAnswer: 6477829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2594*0.2749\nAnswer: 713.0906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 395929 + -267702. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2*l, 0 = -0*t - 3*t + 4*l + 4. Suppose 2*v - 100 = -3*u - 0*v, -4*u + 4*v = -120. Calculate the highest common factor of u and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t*t**(3\/2)))\/t*t*t**(-3)*(t\/t**2)**(-48))\/(t*t**(-1\/5)*t**8)**(-40) assuming t is positive.\nAnswer: t**(789\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -15\/8 (b) 0 (c) -4 (d) 653 (e) 1\/2 (f) -3 (g) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.981 + -0.5?\nAnswer: -34.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(((-1)\/2)\/(9\/(-18))). Let s be (-2)\/l*2*9\/(-3). Suppose 0 = -4*x + x - 4*q + 334, 462 = 4*x - s*q. What are the prime factors of x?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.919242mg to nanograms.\nAnswer: 7919242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 18*f**2 + 35*f + 9. What is o(15)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/13, -2, -3.8, -2\/29, -3 in decreasing order.\nAnswer: -2\/29, -1\/13, -2, -3, -3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1 - -1) + 3 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1129*d - 1129*d - 2*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/148 and -145\/6.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 - (-4 - -6 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9604 = -12*h + 40804. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -906 - -908. Suppose -3*q - s*k = -353, -7*k + 2*k = -3*q + 346. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9585 is divided by 320?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-910)\/208 + (2 - (-26)\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 78\/(15\/((-195)\/26)*(-1)\/(-1))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*h = -13, 5*t + 113 - 192 = -h. Let u be 2\/(-6) + 433\/3. What is the greatest common divisor of u and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -86. Let z = -86 - y. Sort 0, 1, z.\nAnswer: z, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*y - 22 - 10, -4*y + 12 = -r. Solve 0 = y*t + 3*m + 24, 6*t - 3*t = m - 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l = -54 + 12. What is the highest common factor of l and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97 + 102. Solve 0 = k*q - 6*q + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 431.628 - 429. What is n rounded to one decimal place?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*t - 1 = 3*t, -4*m + 9 = t. Suppose -m*q = -4*i + 2 + 2, i = 2*q - 5. Suppose q*r - 1249 = -197. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000018 to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5745 is divided by 115.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1931925 is divided by 239?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38643 is divided by 2879.\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q - 5. Let p be d(2). Solve p = -2*v - 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -252.90132 rounded to one decimal place?\nAnswer: -252.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umuyuump. What is prob of sequence mum?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -8*a + 6*a - a**2 - 4*a**2. Let t(d) = -70*d**2 - 70*d**2 - 70*d**2 + 2*d + 211*d**2 - d. Determine q(y) + 4*t(y).\nAnswer: -y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -333*w**3 - 1071*w + 1071*w.\nAnswer: -333*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4252988, 4253145, 4253406, 4253771, 4254240, 4254813, 4255490?\nAnswer: 4256271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3438, -6842, -10148, -13356, -16466, -19478?\nAnswer: -22392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**7\/360 + c**4\/12 + 49*c**3\/6 + 68*c**2. Let i(a) be the second derivative of h(a). Let o(d) = -d**2. What is o(i(j))?\nAnswer: -49*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - 26 - (-1 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkkn when four letters picked without replacement from {k: 4, n: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(275) + -2*sqrt(275))*5)**2.\nAnswer: 247500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203331202 - 22?\nAnswer: 203331120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 21 = -2*i, 11*i + 3*s - 2*s + 0*s + 5268 = 5179 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - (sqrt(187) + -2*sqrt(187))*5) + sqrt(187) + sqrt(187) + sqrt(187))\/((sqrt(44) - -1*sqrt(44))\/sqrt(4)) + 3.\nAnswer: 3 + 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3818.\nAnswer: 2, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 3*y + 67 = 4*l, 0 = 2*y - l - 63. What is the remainder when 84 is divided by y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212012 (base 3) to base 2\nAnswer: 1001110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-560)\/(-126)*5\/((-140)\/(-21)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvhvqvhq. Give prob of picking 1 q and 1 v.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2. Let b(k) = -8*k + 7. Let t(y) be the first derivative of -y**2\/2 + y - 5. Let m(z) = -3*b(z) + 21*t(z). Calculate m(i(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*h - 113*h + 103*h - 301*h.\nAnswer: -654*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*w - 11. Suppose 0*t - 45 = -5*t. Let l = t + w. Solve l = 3*g + 5*n - 23, 3*n = 2*g + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 62456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 - 3*j**2 - 73*j**3 + 10*j**2 - 5*j**2.\nAnswer: -73*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20141 = o - 5*r, o + 0*r = 3*r + 20149. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6993, -7091, -7189?\n\"Answer: -98*x - 6895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 14. Solve 0 = -5*h + p + 14, x = 2*h - 7*h + 3*p + 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/53888 and 61\/12672.\nAnswer: 5334912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-16)\/s))\/s**(-2\/59)*(s**29)**(-1\/50) assuming s is positive.\nAnswer: s**(48539\/2950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 33*y**2 - 8*y + 13. Let t(i) = 8*i**2 - 2*i + 3. Determine -6*c(h) + 26*t(h).\nAnswer: 10*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1a4418 (base 12) to base 15\nAnswer: 925d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.968 + -2. Let d = 4.118 - j. Let h = d + 0.05. Round h to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y - 1. Let o be b(1). Suppose -5*r = 17 - o. Let x = r + 24. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -70*o**5\/9 - 18292*o**4\/3 - 10753064*o**3\/9 + 834160*o**2\/9 + 4779264*o - 2458624\/9 = 0.\nAnswer: -392, -2, 2\/35, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(23\/5)*j*j*j\/(j\/(j\/j**2)))\/(j**16\/(j\/j**(7\/6))) assuming j is positive.\nAnswer: j**(-317\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 19*m. Let g = -8 - -10. Calculate the remainder when u(g) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(86\/5246) - (-26 - 2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10222111 - 2?\nAnswer: -10222120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*f + 22911 = 30*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + (14 - (17 - -37)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 + 30*m + 13. Is k(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -5, 6, 180 in descending order.\nAnswer: 180, 6, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 - 4*g**2 - 4 + 3*g**2.\nAnswer: 3*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**4\/12 + g**2 - 2*g. Let d be o(0). Suppose -6*p + d*p = -88. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1050 = a - 0*x + 5*x, 5204 = 5*a + 2*x. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -8*r + 50, -13*r = 3*v - 10*r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/18*84\/(-4774). Let b = d - 19427\/5115. Does b = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.05, 72 in increasing order.\nAnswer: -0.05, 2\/7, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12184 - -13996. Is 1810 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/2 + 3 + 34. Suppose 4*u - y = 67. Calculate the greatest common divisor of 65 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a + 11891 - 50891 = 0. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4699929 times 2?\nAnswer: -9399858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -83*c + 94*c + 91 - 91. Let q(k) = -k + 28. Give q(p(t)).\nAnswer: -11*t + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 108 in 4, 0.2, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16123 * 0.35334.\nAnswer: -5696.90082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*a**3*j**5 - 2*a**3 - 73*a**2*j + 6*j**5 - 1 wrt j?\nAnswer: -260*a**3*j**3 + 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwq when three letters picked without replacement from ooenqoqwow?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 7:15 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*c**3 + 19140*c**2 + 19481*c**2 - 3*c**3 - 4*c**3 - 38205*c**2 in the form f*c**3 + i*c + z + a*c**2 and give f.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 187*o*q**2 + 11*o + 5 wrt q.\nAnswer: 374*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/((sqrt(9) - (sqrt(9) + 2*sqrt(9))) + sqrt(9)))\/(sqrt(4)*-2*5)*-1.\nAnswer: -sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 50. What is the tens digit of 4*(3 + 23) + 4\/c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(7*q**2 - 4*q**2 + 173*q**2)*(1 - 1 - 2)*(-3 + 3 - q)*(-3 + 3 - 1).\nAnswer: 704*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*v + 15. Suppose -5*i = 7 + v. Suppose 0 = -5*m - 12 - 8. Which is bigger: i or m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 250\/(-15) - (0 + -12). Let d = -37\/77 + 4\/77. What is the biggest value in d, -81, 0.5, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*s + 143*s = 114912. Is s at most as big as 2129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 8. Let b be (-17)\/(-1) - (-2 - g). What is the greatest common factor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*y + 37 = -495*y - 3*n, -11*y - n = 51 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aiaiaaxaiaaiaaxa?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 702 and 96408?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5252.\nAnswer: 2, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5\/5 - 108*m**4\/5 + 1944*m**3\/5 - 11664*m**2\/5 = 0.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - f + 68 + 53 = 0, 0 = -4*f - 12. Let n = v - 27. Solve 0 = k + q + 2, -16 = -4*k - 0*k + n*q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9 + 11)\/(4\/(-6)). Let c(p) = -11*p - 13. List the prime factors of c(m).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 311052*c**2 - 5600164*c + 5289108.\nAnswer: 4*(c - 17)*(c - 1)*(c + 77781)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 4*l - 5*l)*(2*l + 0*l + l)*(-1 - 2 + 1)*(-l**2 - 3*l**2 + 6*l**2 + (14*l - 5*l + 5*l)*(l + 0 + 0)).\nAnswer: 192*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*k - 570 = -178*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(2*sqrt(7)) - (0 + sqrt(1900) + sqrt(1900))**2.\nAnswer: -7600 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1029 - 1007 + 4*c**3 + c + 2011 + 0*c to the form b*c**2 + l*c + y + s*c**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/20*32\/(-24))\/((-266)\/(-665)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 1 - 5 = -3*d, 0 = -2*j + d - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36 - -77 - 33) + (-16 - 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48*(-14)\/8064)\/(4\/6)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2053 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*r**3 + 17*r**3 - 5)*(2 - 6 + 3).\nAnswer: -15*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30408*l**2 + 11807*l**2 - 711640*l**2.\nAnswer: -730241*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 31266 + 387?\nAnswer: 31653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47778683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(-5) - (-285)\/5400 and -151\/54?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*f = -5, -15*r = -20*r + 3*f + 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7742521 - 4?\nAnswer: -7742525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.9 + 6.9. Which is the closest to -7? (a) p (b) -0.2 (c) 5 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42523331 (base 6) in base 9?\nAnswer: -2322851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2647?\nAnswer: 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 48*p - 9. Let l(s) = 22*s - 5. Determine -9*l(q) + 4*u(q).\nAnswer: -6*q + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 247*k**2 + 1961*k*l**2 + 2*l**2 + 25733424*l wrt k?\nAnswer: 494*k + 1961*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3166 divided by -25741\nAnswer: 3166\/25741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 13 + 2. Suppose -4*f + 2*o - 22 = 0, 0 = -4*f + 4*o - o - 23. Put -7, f, v in decreasing order.\nAnswer: v, f, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from byyynyynyyyyj. Give prob of picking 1 b, 1 j, and 1 n.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1183*v + 9938 + 12869 - 10255 + 30036 = 0 for v.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 18*d**3 - 9*d**2 + 27*d - 53. Let x(w) = -9*w**3 + 4*w**2 - 12*w + 26. Calculate -9*x(a) - 4*z(a).\nAnswer: 9*a**3 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 91781809 and -51734?\nAnswer: 91833543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0. Let i = -22 + 178. Let m = i + -156.2. Put -2\/13, m, c in ascending order.\nAnswer: m, -2\/13, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -97? (a) 0.5 (b) 4 (c) -5\/3 (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6*p + 8. Let z be d(-2). Let t be (z - -2)\/(2 - (-3 + 4)). Let r be t\/(-16) + (-42)\/(-48). Solve -g + r = -0*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a1c - -615?\nAnswer: -2407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 148134867*a*z + 36816283*z wrt a.\nAnswer: 148134867*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -19633840880922 and 0.06?\nAnswer: 19633840880922.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 1)*(4*m + 0*m - 2*m)*((2 + 0 + 0)*(1 + 2 - 2) - 7 + 3 + 7 + 4 - 16 - 8) in the form h + n*m and give n.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 8*z + 57. What are the prime factors of l(8)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1944 by 162.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 4:55 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -73*i + 228. Let f(y) = 44. Calculate -5*f(t) + l(t).\nAnswer: -73*t + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 608 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 b, and 1 t when four letters picked without replacement from tttjbbjbbtbj.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -206 - -221. Suppose -42 + 1482 = 4*q. What is the highest common factor of k and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 63?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 899*j + 78 = 896*j + 3*h, h + 128 = -6*j for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 981598770?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2)\/((j\/(j\/(j*j**(-1\/13)\/j)*j)*j)\/j)*(j\/(j\/(j\/j**2)*j))\/(j\/j**5) assuming j is positive.\nAnswer: j**(14\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3427561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -1)*(-1 + 1). Let i = -4 + 6. Suppose -i*c + 4 = -3*n, n + 14 = 3*c - 6. Solve -3*x + 6*x - 6 = -4*k, a = 5*k - 4*x + c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3338053633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7929 and 300?\nAnswer: 792900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.9 and 4.\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -189 - -195. Suppose 0*r + 17 = 4*r - z, r + 5*z - 20 = 0. Solve r*p - b = -4*h + 6, 5*p - 18 = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 21 = -5*q + 10, q + 5 = -2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.40477 * 0.5.\nAnswer: 0.202385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a**2 - 2. Let s(c) = -10*c**2 - 2 - 4 - 3 - 11*c**2. Determine 9*o(x) - 2*s(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1021121221 (base 3) to base 5\nAnswer: 1301433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2486, 12930, -3 in increasing order.\nAnswer: -3, 2486, 12930","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*n + 126*n + 14 - 65 = 55*n for n.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 58*g**2 - 102*g - 541. What is the lowest common multiple of 220 and x(61)?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1505, -8, -3 in increasing order.\nAnswer: -8, -3, 1505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v - 5. Let f(r) = -17*r + 14. Let p(w) = 4*w**2 + 23*w + 4. Let t be p(-5). What is t*y(j) - 4*f(j)?\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*d + 26 = 9, 22 = 2*u + 4*d. Put u, 3, -5 in ascending order.\nAnswer: -5, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/4 (b) 5 (c) -10 (d) -6 (e) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 4*p - 75 + 73 = -62, -2*a = -4*p - 28 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5202 and 7533414?\nAnswer: 128068038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-119)\/(-14) + 1\/(-2). Solve 3*h + h = -i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0020112 rounded to 5 decimal places?\nAnswer: 0.00201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21813491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**27)**39\/(d**12\/d**28) assuming d is positive.\nAnswer: d**1069","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -163 (c) -33 (d) 21 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1927.7 or -1\/38?\nAnswer: 1927.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 267*p - 2. Let v be d(-1). Let j = -137 - v. What are the prime factors of j?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 531 and 918.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 190 + -172.9. Let n = p - 17. Let h = -0.1 + -0.9. Which is the nearest to n? (a) 0.5 (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 8. Let w = -1 + a. Let r = -3323\/8070 + 19\/1614. What is the third biggest value in w, r, 12?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/11 - 34\/33. Let q = 0 + 0.1. Put q, 2, o in decreasing order.\nAnswer: 2, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 1140?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000382541 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -439 + 470. What is the smallest common multiple of 19 and f?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2 + 2. Solve -4*x = t*v - 3*v - 16, 3*v + 15 = x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -879437, 0.3, 0?\nAnswer: -879437","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**2 - 4*b**2 + 2*b**2)*(13*b + 3*b + 0*b).\nAnswer: 48*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1015113051 - 0?\nAnswer: 1015113051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 40. Let f be a(20). What is the greatest common divisor of 260 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.133344921 rounded to five decimal places?\nAnswer: 0.13334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 10:10 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 6*u**2 + 6*u - 3. Let i(o) = 0 - 5*o**2 - o**3 + o - 5 + 3. Let n be i(-5). Let d = -2 - n. Give y(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*j - 0 + 1, -2*t = 3*j + 16. Let d(b) = -b**2 - 2*b + 1. Let i be d(j). Solve 2*z = 5 + i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -250\/9 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -25*i**3 - 10*i**2 - 41*i - 102. What is u(-5)?\nAnswer: 2978","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14\/9, -5, -999, -1, -0.286, -0.5?\nAnswer: -0.286","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24.7 and 66.203?\nAnswer: -1635.2141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 8) to base 6\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 153 - 108. Let y = b + -27. Let k be (-2)\/8 - y\/(-8). Let x(f) = f**3 - 3*f**2 + f + 2. What is x(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-23)\/g*g\/(g*g*(((g**(-2\/9)\/g)\/g)\/g)\/g*g)*(g*g*(g**(-2\/103)*g*g*g)\/g)**44)**5 assuming g is positive.\nAnswer: g**(710860\/927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, i: 6}. What is prob of picking 4 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, -3\/7, 0.021, 1\/6?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -7*g - 2. Determine l(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 2*f**2 - 4*f + 3. Let o be d(2). Let w = -3466 - -3469. Sort -3, w, o in ascending order.\nAnswer: o, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6095 divided by -1219?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - t - 12 = 0. Let n(y) be the second derivative of 0*y**2 + 19*y + 0 + 1\/6*y**t. Let j(h) = 10*h. What is n(j(q))?\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(10)\/sqrt(5)*1 + sqrt(2).\nAnswer: 2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*w - 618 = 1107. What is the remainder when 569 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 - 3*j + 2. Let g be d(2). Let a = 12 - g. Suppose -a*u + 70 = -98. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r + 2. Suppose 0*y + 25 = 5*y - 2*s, 0 = -4*y - 2*s + 38. Let u = y - 5. Let b(c) = 42*c - 15. Let f(l) = u*b(l) + 15*t(l). What is f(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246 divided by -82.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*r - 27. What are the prime factors of (-5)\/r*14*-3?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/4 of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-5)*10\/4. Suppose u - 5*u = -l*c - 36, -2*c - 32 = -4*u. Suppose 2*q = u*w - w - 45, 4*q - 18 = -2*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 9 (b) -2\/9 (c) -3\/31 (d) -3056 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, s: 1, m: 1, q: 1, x: 2}. What is prob of sequence qvxv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683751824?\nAnswer: 2, 7, 6104927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 8. Suppose -3*g = -n - 3. What is the third smallest value in g, -4, -2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuccczucucuucuy. What is prob of picking 1 c, 1 y, and 1 z?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/10606 and 44.\nAnswer: 10606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 12:31 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -14825\/40462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3452\/15 - -670\/3. Let p = -2963\/2 + 1449. What is the common denominator of p and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/10)\/(205\/(-7175))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 - -61.4. Let k = -131 + m. Let h = k + 69.5. Which is the fourth biggest value? (a) -16 (b) -0.4 (c) 4 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.2, 0.3, 1257, -32?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1987, 1988, 1989, 1990, 1991?\nAnswer: 1992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*4)\/sqrt(12)*4)\/(sqrt(32)\/(-3*sqrt(128))).\nAnswer: -192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + 0*c + 3*c + 3*c + 1 - 1 + (-2*c - 1 + 1)*(2 - 2 - 1) + 97*c + 58*c + 150*c to l + n*c and give n.\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**3 - 15*b**3 + 61*b**3 - 12*b**3 - 9*b**3.\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4267 - 10*i + 4277 + 4262 - 12807.\nAnswer: -10*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -7*a**2 - 582*a + 162. What is b(-84)?\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 231200 and 640?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/14)\/((-19)\/798)*(-1)\/3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99174?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*m - 49 - 106 = 0, 3*c - 9*m - 117 = 0. Let b(k) = 14*k**3 + 2*k**2 - k. What is the least common multiple of c and b(1)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 10?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 - 20*p - 26 - 26)*(-3*p**3 + 2 - 2) + 2*p**4 - 3*p**4 + 3*p**4.\nAnswer: 62*p**4 + 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*l - 96095 = 56271. List the prime factors of l.\nAnswer: 2, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326241*x = 652546*x - 326184*x + 5324 for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 784*i + 5486. Give j(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkkit. Give prob of picking 1 t, 1 q, and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6739 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -47?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -67 + 38 - 3*x + 2*x + 4 + 2*x - 6 + 3 + (2 + 0 + 0)*(2*x - 2*x - x) - 2 + 2 - 2*x.\nAnswer: -3*x - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1562 - 1498. What is the remainder when 306 is divided by a?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 261 - 262.21. Let y = -85.79 + p. Let z = 77.8 + y. What is z rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/(3 + -1) - -2. Let m be (-33)\/d + (-2)\/(-10). Let s(h) = h**2. Determine s(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -7. Suppose j - 9 = -2*p, j - 2 = 3*p - 8. Suppose p*x - 90 + 84 = 0. Solve -4*r = x*l + 5 - y, -5*l + 3*r + 3 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4*i*i*(i**(-2\/7)\/i)\/i)\/(i**(-7)*i*i**(-2\/17)*i) assuming i is positive.\nAnswer: i**(1051\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1234 + 4*q**3 + 0*q**2 + 1226 + 26*q + q**2 + q**4 to the form m*q + x*q**4 + f*q**3 + b*q**2 + t and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 156 = 9*g. What is the remainder when 44 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 13 = -3. Let t be i\/(-32) - 11\/(-4). Let r(p) = 17*p**2. Let y be r(1). Solve -x = 2*x - 3*b - 15, 0 = 4*x - t*b - y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.087 + -0.093. Let d = -0.18052 - c. What is d rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-21)\/6 + 3)*4. What is the common denominator of 18\/5 and (i\/22)\/((-3)\/(-141))?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1127741426 - 4?\nAnswer: -1127741432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - x = 3*x - 34, -v = -5*x - 61. Suppose -65 = -4*n + l, -2*n + 4*l + 35 = -1. What is the remainder when v is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 12:51 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -80 - -79.977. Let k = 0.377 + -0.4. Let g = k - j. Sort 0.5, -1, -1\/12, g in increasing order.\nAnswer: -1, -1\/12, g, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4356) - 2*sqrt(4356))*5 + sqrt(4356) - (sqrt(4356) - -2*sqrt(4356))*1)\/((sqrt(588)*1 + sqrt(588))*-1*-1).\nAnswer: -11*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 2, 43, -1, 7 in decreasing order.\nAnswer: 43, 7, 5, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 1.3 and 3\/23 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -22*h**2 - 48*h - 178. What is j(-4)?\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by 364.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3265793376?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 1077*f**2 - 12*f - 52. What is the tens digit of s(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 966 is divided by 198.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7*j - 6. Let f = 9 + 8. Let d = f + -28. Let t(s) = -13*s + 11. Let h(u) = d*i(u) - 6*t(u). Let x(p) = -6*p**2. What is x(h(a))?\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132, -140, -128, -84, 4, 148?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6522.\nAnswer: 2, 3, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 50065 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*s**3 + 4*s**3 - s**3)*(2*s + 4*s - 5*s) + (-2*s - s + 5*s)*(3*s**3 - 2*s**3 - 3*s**3).\nAnswer: -11*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 36 = 12*x. Let z be 2\/(x - (-5 + 1)). Suppose 6*g = -i + 5*g + 32, 0 = -z*i + 3*g + 79. Does 35 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 280488 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1681\/84 + -19\/28. Suppose -2*s = g - 30, 4*s + 40 = 16*g - 13*g. Is z equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 - 71. Let b be (-1)\/u + (-3526)\/(-12). Suppose -2*f + b = 4*f. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -23923727452 and 0.03175.\nAnswer: -23923727451.96825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.25918357 (b) -0.5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**3 - 121*d**2 - 445*d + 825. Determine n(-36).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42772?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**2\/4 - 2437*y\/4 - 437465 = 0.\nAnswer: -580, 3017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212011 + 1010000120121?\nAnswer: 1002222201110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17, -28, -21, 22, 119, 288, 547?\n\"Answer: 3*h**3 - 9*h**2 - 5*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5377497718 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 19488.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50809 and 29353?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 7*k**2 + 2. Let r be o(-7). Let f be (-38)\/133 - 394\/4060. Let j = f - 1\/58. Which is the second biggest value? (a) r (b) -0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 13*s + 26. Let w(k) = -6*k - 13. Give 3*c(u) + 7*w(u).\nAnswer: -3*u - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*i**2*j**4 - 3*i**2 + 4*i*j + 191463*j - 3929251 with respect to j.\nAnswer: -16*i**2*j**3 + 4*i + 191463","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4 = -26. Suppose -a = -r*a + 415. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586836?\nAnswer: 2, 3, 16301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122\/77, 3, 0.3, 4, 2 in increasing order.\nAnswer: 0.3, 122\/77, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/4 (b) -0.0223 (c) 0 (d) 1 (e) -42 (f) -1 (g) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/sqrt(100)*-6 + (5*6*sqrt(143))\/sqrt(11).\nAnswer: 144*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*v - 24, 5*k - 2*v + 11 - 50 = 0. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2*o + o - 6, -o = 4. Find k such that -48*k + 16 + 106*k**g - 24*k**3 + 4*k**4 + 131*k**2 - 185*k**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from zhzzhhzhhhhzzzzhhzh.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 + 28 = 15*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.3 - -3.7. Let o = z + -15.24. Let q = 0.239966 + o. What is q rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 3 + g**2 - g**2 + 0*g**2 + 6*g. Let j = -15 - -8. Let a be t(j). Solve -3*l + 12 = a*b, -4*l + 0*l - b = -16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2\/125 of a milligram?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 98353617 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11317922 is divided by 323369?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*1 + 2100\/(-200).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43397*j**3 - 4*j**2 + 744818*j.\nAnswer: -260382*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 3*h + 1. Let u be i(-2). Let o be (-1)\/u - 44\/(-60). Is -2 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3816\/152 - (1\/5 + (-585)\/6175)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 15) to base 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22017 and 22733.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(90)*2 - sqrt(90)))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*m**2 + 14*m**2 + 10*m - 9*m**5 wrt m.\nAnswer: -180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12438035*r**3 + r**2 + 51*r - 7954.\nAnswer: 74628210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1302332371.\nAnswer: 19, 61, 1123669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2644 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 681 = 2*x + 212, 2*x = 4*p - 714. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b - 1479. Let i(f) = -3*f + 1478. Let k(o) = -4*i(o) - 3*t(o). Let q be k(0). Is (q\/(-10) + 4)*2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -1580*b**3 + 965*b**2 + 3*b - 3. Let j(a) = 4739*a**3 - 2894*a**2 - 8*a + 8. Let p(x) = 8*f(x) + 3*j(x). What is the third derivative of p(i) wrt i?\nAnswer: 9462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**2 + 284844*l + 6761342028 = 0?\nAnswer: -47474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 896*n**2. Let g(s) = -4*s**2. Determine g(t(m)).\nAnswer: -3211264*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 59?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**2*j**(2\/19)*j)\/(((j*j*j**4*j)\/j)\/j*j*j**(-8)))**(-4) assuming j is positive.\nAnswer: j**(-464\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -99.56 + 58. Let g = 0.44 - p. Let b = g - 42.088. Round b to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1467834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78 + 83. Suppose -j*v = -33 + 8. Suppose h - 147 = -y + v*y, 10 = -2*y. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -2*a**3 - 91*a**2\/2 - 103*a + 1. Give c(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -22, -109, -316, -703, -1330, -2257?\n\"Answer: -10*r**3 - 17*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 - 67*j**2 - 30*j + 134. Let v be t(-33). Solve 0 = v*x - 9 - 61 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2\/13 - 346*a\/13 = 0 for a.\nAnswer: 0, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/12687 - 94449\/8458. Let t = 12 + -58. Calculate the common denominator of y and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -165 and -161 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 3154.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.807417 centuries in millennia?\nAnswer: 0.2807417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -924 - -892. Sort -4, z, 5, -1 in descending order.\nAnswer: 5, -1, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + n + 2. Let j be 1\/(-3 + 5\/2). Let h be f(j). Let k(d) = d + 6. Let t be k(h). Solve x + 0*x = t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - -9 - -10 - 43.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahhh when four letters picked without replacement from {a: 9, h: 7}?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 5*i + 2*i)*(-6 + 4 + 1 - 1 + 2 + 0 + 1 + 3 - 2 + (-3 + 0 + 1)*(-4 + 1 + 2) + 0 - 3 + 4 + 1 + 4 - 3 + 1 + 2 + 1 - 4 + 3 + 4).\nAnswer: 126*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f. Let o = 730 - 726. Let r(d) = -3*d**2 - 11977*d + 11977*d - o*d**2. Determine r(k(c)).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5557 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 29899 = 2034. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11 + 402\/36)*12. Put -4, -42, k in decreasing order.\nAnswer: k, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**(-8)\/j))*j)\/j**(-1))\/(j\/j**(1\/5))**28 assuming j is positive.\nAnswer: j**(-147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -144a8b (base 12) in base 6?\nAnswer: -11143055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.3 and 5.8911.\nAnswer: 13.54953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u + u**3 - 156 + 302 + 54*u**4 - u - 146 as l*u**3 + w*u + p*u**2 + x + j*u**4 and give j.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(2\/3)\/r)\/r)\/((((r**(-2\/7)\/r)\/r)\/r)\/r))\/(r**3*r*r\/(r**2\/r)))**(-7) assuming r is positive.\nAnswer: r**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*t. Suppose t = 6*y - 2*y - 116. List the prime factors of y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -21301?\nAnswer: 21310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28\/43 + 2\/129. Let r(d) = -d**3 - 4*d**2 - 3*d - 4. Let v be r(-5). Let n = -178\/5 + v. Which is the third biggest value? (a) n (b) x (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0018638 and -3.\nAnswer: -3.0018638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 101735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -41, -2, -3 in ascending order.\nAnswer: -41, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-407680)\/118300)\/(32\/(-104)).\nAnswer: 56\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.18211 times 0.1?\nAnswer: 0.318211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 7*w = 12*w, -5*w = l. Solve 3*d + p = l, 0*d = -d + 3*p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 12:42 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-63 + 27*z**2 + 63)*(-4*z + 3*z + 7*z + (-2 - 2 + 5)*(1 - z - 1)) to the form u*z + b*z**2 + l*z**3 + p and give l.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0, 3\/8, -2\/7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 3. Let g = 7 + -4. Let h be x(g). What is the smallest value in h, -0.5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of m**2*t**2 + 10067*m**2*t - 3*m*t + 240989*t**2 wrt m?\nAnswer: 2*m*t**2 + 20134*m*t - 3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*f + 0*f - 2*w = 30*f + 2710, -16*f + 19*f = 4*w - 27 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 f, and 1 e when four letters picked without replacement from eeeeefwefwe?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.49 + 0.59. Let l = x + 8. Let r = -11 + 41\/4. What is the second smallest value in r, l, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 25390, 75, -3 in descending order.\nAnswer: 25390, 75, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44146 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350*i - 166*i - 175*i = 0. Find s such that i - 1\/4*s**2 + 5\/4*s = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113411 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -252213, -252202, -252189, -252174, -252157, -252138?\n\"Answer: j**2 + 8*j - 252222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**3 - 279598*l**2 - l - 30562495 with respect to l.\nAnswer: -6*l**2 - 559196*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -0.51, -3, -2, 2, 8 in ascending order.\nAnswer: -3, -2, -0.51, 1\/5, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 3. Let l(u) = u**2 - 5*u + 3. Let z be l(6). Suppose 4*m + 6*h - z = 5*h, 3*h - 19 = -4*m. Which is the nearest to m? (a) p (b) 0.2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6090, 12210, 18370, 24576, 30834, 37150, 43530, 49980?\n\"Answer: z**3 + 14*z**2 + 6071*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q - 2*q)*(0*q**2 + 5*q**2 - 2*q**2 + 6*q**2 + 0*q**2 - 2*q**2 + (-2*q + 2 - 2)*(0*q - q + 0*q)).\nAnswer: -18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59 (base 16) to base 7.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4 - 59*r - 54*r + r**2 + 105*r. Calculate h(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*b + 660 = -85*b. Is 22 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -6*j + 5*j. Solve 8*h - u + 7 = 5*h, u - 1 = j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 - 8*y - 15. Let r be d(-3). Let t = 53\/6 + r. What is the third biggest value in -5, t, 0, 0.03?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0021641 to 5 decimal places.\nAnswer: -0.00216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-6*sqrt(144)*2*4)\/((sqrt(96) - (sqrt(96) - sqrt(96)*2*3))\/(sqrt(64)\/(-2*sqrt(8)))).\nAnswer: 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*6\/(-18)*(-2)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07128 - -94.92872. Put -2\/7, -2\/11, u, -0.5 in ascending order.\nAnswer: -0.5, -2\/7, -2\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x + 7102 + 52102 = 3*x. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -7) + -2 + (-29 - -70) + -33.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k - k - 57231 - 15*k**2 + 79*k**3 + 57231 to the form g*k + c*k**3 + r*k**2 + p and give c.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 4)*(-2 - 3 + 6) - 1 - 6 + 5 + 0 - 6 + 0 + (2 + 4 - 5)*(0 + 2 - 4) - 5 + 4 - 1)*(0*z - 4*z + 6*z).\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -122\/20597 or -1?\nAnswer: -122\/20597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 - 1.3. Let y = 269.64 - 266.64. Put 5, x, 2\/9, y in increasing order.\nAnswer: x, 2\/9, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 - 10011?\nAnswer: -10122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10448*l + 0*l**3 - l**3 + 20894*l - 10446*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.122 to one decimal place.\nAnswer: 19.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 897 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 2:41 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 + -36. Suppose c = 5*u + 1. Let v(d) = -d**3 - 2*d - 3. What is the remainder when v(-2) is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1982 (base 10) to base 15.\nAnswer: -8c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -39504, -4 in ascending order.\nAnswer: -39504, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1069*y + 513987 - 513987 in the form p + l*y and give l.\nAnswer: -1069","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-6))\/((-4)\/6). Let p be ((-1)\/3)\/(1\/(-21)). Put 3, p, l in decreasing order.\nAnswer: p, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 15*f + f - 9 + 10*f - 7. Let m(k) = 25*k - 18. Let d(u) = 5*m(u) - 4*y(u). Differentiate d(l) with respect to l.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3 + 10 = -5*r, -4*x + 2*r = -14. Suppose -5*c = -5*o + 109 - 529, -x*o = -c + 99. Sort -4, -5, c in increasing order.\nAnswer: -5, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4909 is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 2*u**2 + 4*u - 2. What is the lowest common multiple of x(3) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 8*a = 7*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 7:43 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 51. Let w be t(-27). Let z be (3\/2)\/(6*6\/w). Is (137\/(-2))\/(z\/(-34)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/14560 and 127\/4760.\nAnswer: 247520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 19115 = 16681. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (40*p + 39*p - 94*p)*(-243*p - 11 + 243*p + 14*p**2) in the form h*p**2 + z*p + r + v*p**3 and give v.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14572? (a) 3 (b) 0.4 (c) 1718\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 57. Is 34\/(-3 + (-92)\/c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 3*b + 5*n + 497, -371 = 3*b + 4*n. Let o = 146 + b. Suppose 2*t - 153 = o. Is 27 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*10\/50)\/((-2312)\/170)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 2, 1\/2, 13, 0.4, 2.88?\nAnswer: 2.88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 2*r**3\/3 - 10*r**2 - 24*r + 1666. Calculate n(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1488353 (base 9) to base 11.\nAnswer: 514855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (7 + -7 - -6) - -8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 24 = 2*n. Let r(f) = -f**3 + 3*f**2 + 2*f + 10. Let m be r(n). Calculate the highest common factor of 10 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 68\nAnswer: 27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((660\/(-5005))\/((-2)\/(-259)))\/((-9)\/2). Does g = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 77.5.\nAnswer: -75.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257603850.\nAnswer: 2, 3, 5, 7, 53, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/10 - 237892*p\/5 + 9992346\/5.\nAnswer: -(p - 42)*(p + 475826)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28 times -0.07?\nAnswer: 0.0196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -0.08 (c) 17\/21 (d) 16 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/14*(-3)\/3*2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, p: 2, l: 1, q: 7, t: 3}. Give prob of picking 1 d, 1 t, and 1 q.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 55954091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 5*z + 2*z**4 - 3*z**2)*(8 - 8 - 9*z).\nAnswer: -18*z**5 + 27*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 79, 405, 1131, 2413, 4407, 7269, 11155?\nAnswer: 16221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-4))\/(12\/(-24)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5899\/4 + -1469. Let p(l) be the first derivative of 0*l + 0*l**2 - 23 - 8*l**3 + i*l**4. What is the third derivative of p(n) wrt n?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 1327*l**2 + 28*l - 96. Is u(4) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (56\/16)\/(2\/(-12)). What is the tens digit of (n\/(-28))\/((-3)\/(-8)) - -505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75\/7 + 11. Which is the fourth biggest value? (a) g (b) 5 (c) -1 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-9) + 23 + -24.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191315 is divided by 62281?\nAnswer: 4472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**2 + 2*m. Let v(n) = 15*n**2 - 11*n. Determine 11*u(j) + 2*v(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.959281*4.\nAnswer: -59.837124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 611683 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1036)\/296*(-16)\/(-14). Sort 0.2, 36, -5, n in ascending order.\nAnswer: -5, n, 0.2, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 12 = -3*c - 4*i, -3*c - 2*i = 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u - 18 = -28*u. Let g(v) = -6*v + 8*v - v**2 - u - 4*v + 2. Calculate g(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.3, 17, 3 in decreasing order.\nAnswer: 17, 3, 2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 bigger than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, u: 5, d: 2}. What is prob of picking 1 u, 1 d, and 1 n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(34)\/(sqrt(4)\/sqrt(2)) + -3)*-4 - 2*4*4*sqrt(425)) + 1)**2.\nAnswer: -4264*sqrt(17) + 457401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -102 + 189. Suppose -3*y = -4*i - 6*y - 72, -5*i - o = 3*y. Let t be (7\/21 + (-10)\/3)*98\/21. Are i and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + 2*g - g + (2*g + g + 2*g)*(-1 + 4 + 18).\nAnswer: 106*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.2, 5, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 + -3022?\nAnswer: -2311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3165 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*sqrt(448)*-1 - sqrt(448))**2.\nAnswer: 4033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, a: 7, d: 4}. Give prob of picking 2 d.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 315, 630, 945, 1260, 1575?\n\"Answer: 315*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*k - 47*k + 7581. Calculate the highest common divisor of 126 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*k + 4*b, 0*k - 2*b - 13 = k. Let s be -3 - k\/(3\/5). Suppose s*p - 149 = p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 793617 is divided by 106?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*n - 1122*n - 388*n = 33*n + 70788 for n.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p**3 - 10*p**2 + 98*p + 5. Let s(o) = 22*o**3 + 32*o**2 - 294*o - 16. Calculate -5*s(q) - 16*x(q).\nAnswer: 2*q**3 - 98*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49.07 - -0.93. Let k = -27 + p. Let z = k - 28.7. What is z rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.32929464 to 2 dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*q - q - 15, 0 = -3*n - 2*q - 3. Let w = 27 + n. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b**2 - 4*b + 5. Let v be j(2). Let p(u) = -5*u**3 - 6*u + 7. Let h(r) = 14*r**3 + 17*r - 20. What is v*p(w) + 6*h(w)?\nAnswer: -w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 658870387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 19. Suppose -57*c = -51*c - 504. Let o = -84 + c. What is n(o)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -250152.401 rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.082 + 0.002. Let a = i - -0.18. Let l = -1.9 - a. Which is greater: l or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -78, -17, 46, 111?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -54 - (-15)\/(3 + (-102)\/24).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 6*v + 56. Suppose 0 = -5*x + 1 + v. Suppose -f + 4*i + 142 = 0, -284 = -2*f - x*i + 2*i. Does 21 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14402992?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x**2 + 293*x + 1259. Give w(-44).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.00559ng in kilograms?\nAnswer: 0.00000000002600559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 30*q + 4*q. Suppose -m + 3*m + 3*v + 9 = 0, -m = q*v + 6. Factor -8\/7*b + 2\/7*b**3 + m + 2\/7*b**4 - 8\/7*b**2.\nAnswer: 2*b*(b - 2)*(b + 1)*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*l - 25, -4*o + l - 6 - 11 = 0. Let m be -1*(-4332)\/(-9)*o. Is m*1 - 90\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105.4422746 - 0.02.\nAnswer: -105.4622746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 15*c - 6. Let r be f(16). Suppose -260 = -r*s + 5*s. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6296, -1\/6, -2, 0.4.\nAnswer: -6296, -2, -1\/6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 21*k**2 + 15*k + 12. Let y be q(-1). Which is the third biggest value? (a) 3\/5 (b) -4 (c) 3\/29 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*h - 186*h + 98*h + 40*h + 2*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 6. Let j be 10*((-1)\/2)\/p. Does 15 divide 173\/j + 4\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 4*z**2 - 2 - 15 + 2307*z**3 - 2336*z**3.\nAnswer: -29*z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 - 1592536*g - 13 + 1592536*g.\nAnswer: -g**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -506, -2019, -4542, -8075, -12618?\n\"Answer: -505*a**2 + 2*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/697, 3\/5, 4, 6, -1 in increasing order.\nAnswer: -1, -6\/697, 3\/5, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1537735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -706.\nAnswer: -709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*(-2 + sqrt(833)) - -3*(sqrt(833) + 2 + sqrt(833)))**2.\nAnswer: -3696*sqrt(17) + 604854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = -0*g + 4*g. Suppose g = -x - x. Let y = -24 - x. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 27*h + 2. Let z(f) = -41*f - 3. Determine -7*a(v) - 5*z(v).\nAnswer: 16*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-7))**(2\/5)*j\/j**(-4\/7)*j*((j*j**(-2\/9))\/j)\/j assuming j is positive.\nAnswer: j**(-331\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -96, -99, -102, -105, -108?\n\"Answer: -3*h - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1052, 1\/8, 0, -2\/7, -5 in decreasing order.\nAnswer: 1\/8, 0, -2\/7, -4, -5, -1052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.151 + 10.151. Is 0.01 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 2\/3 (c) -123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34.5 + -32.97. What is j rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4\/u*u*u**(1\/2))\/(u*(u\/u**(-2\/17))\/u*u*u**(-1\/5)) assuming u is positive.\nAnswer: u**(439\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29978 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688921 is divided by 1501.\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (11781\/(-2946) + 4)\/(2\/1) and -81\/8.\nAnswer: 3928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9206\/3311 + -16\/301. Let y = -18661\/3 - -65197\/12. Let s = 807 + y. What is the common denominator of o and s?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) 0.1 (b) 2\/9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-238)\/(-2975) - 137\/150?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 + -62. Suppose 0 = -i*f + 18*f + 2. Is 20 a factor of ((-69)\/f)\/(-1)*14\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5\/4 - 31763*b**4 + 4045196921*b**3\/4 - 306325236521*b**2\/2 + 5657023293075*b + 11934787961250 = 0. Calculate b.\nAnswer: -2, 77, 63450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -4843 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*s + 57806, -5*s = -9*s + h - 77043. Let l = s - -29259. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 5*j - 15, -6*a + 4*j = -a - 15. Solve -a*x - 2*o - 1 = 0, -6*x + 2*x = -2*o + 20 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*n + 366 = 3*n, -2*n = 0. Suppose 32*r - 35*r = -m. Suppose -4*a + r + 3 = 4*b, 0 = -3*b + 2*a + 33. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2. Let s(z) = 10*z - 3. Let k(p) = 1. Let f(r) = -3*k(r) - s(r). Give f(i(x)).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*n**2*x**3 + n**2 - 2*n*x**2 - 12*n*x wrt x?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 28*j**2 + 13*j - 5. Let u(h) = 9*h**2 + 3*h - 2. Determine 2*k(v) - 7*u(v).\nAnswer: -7*v**2 + 5*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, i: 15}. What is prob of sequence qi?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 5*s - 120, -741*s + 765*s = -4*i + 196 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*11\/286*-13*(-4)\/(-549).\nAnswer: 2\/183","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*y = 22*y, -3*y - 8 = 2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101011000010101 (base 2) to base 4.\nAnswer: 11120111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2216 divided by -4?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s + 1. Let u be o(4). Let x = u + -7. Let n(q) = 3*q + 1. Let y be n(3). What is the greatest common factor of x and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87 + -99. Let i(o) = 2*o**2 + 25*o + 16. Let s be i(r). Let g be (s*(-3)\/16)\/(2\/(-216)). Calculate the highest common factor of g and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 8 - (-10 - (-10 - 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 55*o**2 - 36689*o + 2672. Calculate g(667).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (249\/(-1079))\/(((-20)\/5)\/((-8)\/12))?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1891397972 + 0.194?\nAnswer: -1891397971.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 101 + -250 - -131 - (4 - (1 + -72))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9521, -9538, -9555?\nAnswer: -9572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 909aa - 3?\nAnswer: 909a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 12:33 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91788701?\nAnswer: 91788701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (84\/(-32) + 3)*(-8)\/(-66). Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-4 - (-2 - 1)) - 11330001. Round q to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -494 = -19*z + 190. Let u = -58 - -82. Calculate the greatest common divisor of z and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 12 = 4*n - 7*j, 4*n = -3*j + 23. Let s = 0 + n. Suppose -6 = -k - 2*m, -k - s*m + 10 = m. Is 0 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + -43. Suppose -l*i + 612 + 5031 = 0. Calculate the greatest common divisor of i and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 877, 246, -1477, -4838, -10383?\nAnswer: -18658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12870626 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*a**2 + 10115*a - 3030.\nAnswer: -5*(a - 202)*(10*a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -120 - -203. What is the second derivative of -9*x - 5 + m*x**2 + 16 - 7 wrt x?\nAnswer: 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -0.3, 8874, -5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*y - 103*y + 3657 = -3*u, 4*u = -3*y + 5460. Calculate the lowest common multiple of y and 95.\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*b + 25 = 0, -5*b = 4*g - 4 - 12. Solve -11 + 37 = 5*h + d, d + g = 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 904*r**3 + 404*r - 902*r**3 + 262*r.\nAnswer: 2*r**3 + 666*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3536996 a multiple of 947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -17376 divided by 4\nAnswer: -4344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2156 + 0.0054. Let x = 0.107 - d. What is x rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.25473 + 2.25473. Sort t, 0.3, 2\/3, 247 in descending order.\nAnswer: 247, t, 2\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.036*15.116.\nAnswer: -0.544176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 49515 at most 49516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3278153163?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 428 and 72?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 124863, 1\/7 in ascending order.\nAnswer: -0.05, 1\/7, 124863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 5 (c) -3\/5 (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4012 (base 9) in base 5?\nAnswer: -43202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/11 - 3*456\/(-99). Let p = 2 - 0. Calculate the highest common divisor of i and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**1))**(-41)\/(b*(((b\/(b\/(b\/((b\/(b*b**(2\/103)))\/b*b))))\/b)\/b)\/b*b)**(-22))**(7\/10) assuming b is positive.\nAnswer: b**(-29253\/1030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17985 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/3900864 and -49\/1950432.\nAnswer: 3900864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247121293.\nAnswer: 247121293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.5 less than -0.03?\nAnswer: -99.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 76*j + 18 - 493 + 2907 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -11*(0 + -137) + -2. Suppose 3*x - r = 130. Let z = x + -308. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/1625 + -1632\/11375. What is the second smallest value in 0.2, 0, k, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 13. Suppose 3*n = -4*n - 70. What is j(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.77 times -5?\nAnswer: -3.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -349, -37 in increasing order.\nAnswer: -349, -37, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5652 - 5631. Solve -31*p = -d*p - 50 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -1\/3*m**3 + 0*m - 1\/24*m**4 - 10 + 1\/15*m**5 + 0*m**2. Let u(h) be the third derivative of i(h). Calculate u(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -55403, -110701, -165997, -221291?\n\"Answer: p**2 - 55301*p - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210418786.\nAnswer: 2, 223, 471791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29934*v**5 + 2*v**4 + 17*v**3 + 2543197*v**2?\nAnswer: -1796040*v**2 + 48*v + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168 divided by -3.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1565, -1424, -1271, -1106, -929, -740?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 1 = 0, -65 = 5*q - 3*k - 78 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 25, p + 0*j - 3*j - 18 = 0. Suppose p*y + 4*l - 766 = 0, y - 3*l - 60 = 178. Let s = y + -179. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 2*j = 0. Put 3, -1, j in ascending order.\nAnswer: -1, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430193.\nAnswer: 430193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8625 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 4397317\nAnswer: 17589268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -38. Suppose 4*q + 2*r + 0*r = -12, -u*q - 14 = -r. Let m(h) = h + 4. Let w be m(-2). Which is the smallest value? (a) 1\/9 (b) w (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aarrararrarrrrrrrra. What is prob of sequence ara?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553578910.\nAnswer: 2, 5, 55357891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 - 1)*(6*g - g - 4*g) - 3*g - 3 + 3)*(3*g**3 + 1 + 3 - 3).\nAnswer: -18*g**4 - 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*r - 52867 + 185977 = 1687*r for r.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73431 is divided by 24472.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7175 and 700.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353 (base 15) to base 7.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + 86. Let z = y + -28.27. Let q = z - -0.53. What is q rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23898.9936808 - -23899. What is o rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*g**2 - 79*g**2 - 25*g**2.\nAnswer: -79*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 0.1 (c) 1\/6 (d) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 14 = 2*t, -550*a - 11 = -546*a - 5*t for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -b**2\/2 + 3*b - 2. Let m be c(3). Suppose -2*g + 7*g - 20 = m. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/4 - 2\/8. Let l be 11 - (-4 + 27 - 14). Suppose -l*i + x*i - 125 = -5*m, 5 = -i. What is the remainder when 129 is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -68, -230, -490, -842, -1280, -1798?\n\"Answer: a**3 - 55*a**2 - 4*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24*(3 + -7 + (-1233714)\/9). Round z to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 73?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(80\/(-8))*-1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10312787 and 8?\nAnswer: -82502296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/157738 and 101\/135204.\nAnswer: 946428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + (-12 - -1) - (4 - 3)) + -2 - 30?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 28 = -2*y - 2, 2*n - 35 = -3*y. Let l(f) be the first derivative of -f**3\/3 + 6*f**2 - 12*f + 24673. What is l(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 0*j - 3*f - 22, -14 = -3*j + 2*f. Suppose 0*d + d - 11 = -2*m, 2*m - 1 = d. Calculate the greatest common divisor of d and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36910 - 36925. Which is the fourth smallest value? (a) -0.1 (b) 6 (c) 12 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/2)\/((-1)\/1). Suppose 55*f - 100 = 45*f. Suppose -9*o - f*o = 0. Solve o = -4*u - 4*b - 28, u = -x*b + 2*b - 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 - p**2 - p - 18. Determine c(-5).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -1434927486?\nAnswer: 1434927485.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 10996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -75.\nAnswer: 23\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - -5*(0 + sqrt(468)) - sqrt(468)*-1*-3 - 5*(sqrt(468)*4 + sqrt(468))*1) + 4 + 2)**2.\nAnswer: -1584*sqrt(13) + 226548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*v - 172 + 57 = -30*v - 18*w + 6*w - w, 0 = 5*w - 15 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 55*o**2 + 406. Let i(p) = -8*p**2. What is x(i(y))?\nAnswer: 3520*y**4 + 406","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 6:07 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 5)*(1 - j - 1)*(-13 - 10 - 19 + 2 - 7 + 0 + (-1 + 1 + 1)*(-2 - 1 + 2)) to f + t*j and give t.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -689, -1376, -2063, -2750, -3437, -4124?\n\"Answer: -687*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740800 rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 13.33551 months?\nAnswer: 0.0011112925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*n - 58*n = 42 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - -17) + (-67 - -83)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -621, 1, -30 in increasing order.\nAnswer: -621, -30, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 25110*j - 75303.\nAnswer: -3*(j + 3)*(j + 8367)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 126515059?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**2\/2 + 228*o. Let v(q) = q - 5. Determine -v(l) + x(l).\nAnswer: -l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.08, -2\/3, 1, -2\/5, -36?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0 = -25. Suppose -5*p + 5*m + 695 = 0, -4*p - a*m + 229 = -363. Calculate the remainder when p is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*((-38808)\/98)\/132?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23575\/3 or -7859?\nAnswer: -7859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 8. Let t be b(-9). What is the tens digit of ((-30)\/(-4) + t)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35797710 - 0.2.\nAnswer: -35797710.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -141 (base 6) to base 2\nAnswer: -111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, j: 4}. Give prob of sequence ppj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Suppose 0 = d + 2*v + 14, 3*d + v = n*v - 7. Let t(i) = -2. Let x(u) = u - 1. Let s(c) = -4*t(c) + 3*x(c). Calculate s(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 348 and 5700.\nAnswer: 165300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4846 - 4851. Put d, -2, 191 in decreasing order.\nAnswer: 191, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**3 - 2*v**2 + 3. What is the second derivative of m(a) wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from cccgcgcgcccccg.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2983 + -0.3683. Put c, 0.5, 0.2, -4\/3 in ascending order.\nAnswer: -4\/3, c, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30505 minus 14405?\nAnswer: 16100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -40*o - 124. Calculate a(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 2*l - 391 + 1878, -5*n + 4*l - 1479 = 0. Let r = n + 421. Is 122 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 56 (b) 5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83511423?\nAnswer: 3, 733, 12659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 + -62.878. Let j = 64.878 + b. Let c = 65.000047 - j. Round c to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575786?\nAnswer: 2, 223, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*t - 2*t + 12*t**2 + 18*t + 12*t wrt t.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/4 and 5\/15002?\nAnswer: 30004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 867 divided by -68?\nAnswer: -51\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 4. Let v = -4 + j. Let x = v - -1.99975. Round x to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**2\/4 + 77*f + 309\/4 = 0?\nAnswer: -1, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010 (base 2) in base 11?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 9*o. Let w(t) = 96*t - 4. Let p(u) = -92*u + 3. Let l(z) = -8*p(z) - 6*w(z). Calculate c(l(k)).\nAnswer: 1440*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2228742 to the power of 1\/2, to the nearest integer?\nAnswer: 1493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 966 is divided by 958.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 261 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1772831.99979 + 1772849. Let j = d - 17. What is j rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -8*d**2 - 3*d**2 + 4*d + 1 + 5*d**2 + 0*d - d**3. Calculate the lowest common multiple of u(-7) and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69774)\/(-3609)*15\/5.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101969251 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/612024 and -109\/870.\nAnswer: 88743480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + l**2 + 5. Let q be p(0). Suppose 5*z = q*m + 3*z - 291, -5*m = -5*z - 300. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5732 - -9858. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 32 + 7*i)*(-1 + 3 - 4)*(7*i + 5*i - 6*i).\nAnswer: -84*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60.8 + -0.203.\nAnswer: 60.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -299e (base 15) in base 3?\nAnswer: -110020112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**3 + 6 + 2*z - 10 + 6 + 3*z**4 to the form w*z**4 + h + p*z**2 + m*z + i*z**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdv when three letters picked without replacement from djjjmjjvjddjjjdmmj.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61879, -61895, -61909, -61921?\nAnswer: -61931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sll when three letters picked without replacement from {v: 2, x: 4, s: 1, y: 1, h: 1, l: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/1985043 not equal to 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230157 is divided by 336?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**8\/6720 - f**7\/360 - f**6\/720 + f**5\/24 - 19*f**4\/24 - 4*f**2. Let z(k) be the second derivative of l(k). Determine z(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 5*n = -9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**3 + 2*b**2 + 2*b**3 - 7*b**3 to l*b**3 + d*b + x*b**2 + k and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/414 and -13\/5?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n + 75 + 4*n - 22 - 5*n to k + b*n and give k.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -490.97 - -496. Let y = c - 5. Round y to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 19*f**5\/5 - 344*f**4\/5 - 8467*f**3\/5 + 344*f**2\/5 + 8448*f\/5 = 0.\nAnswer: -264\/19, -1, 0, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 242689275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -30269, -53993, -77719, -101447, -125177?\n\"Answer: -d**2 - 23721*d - 6547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 16*b + 58. Let w = -78 - -67. Let l be v(w). Solve -l*j + 15 = -0*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pphhhppphhhhhhhhhhh. What is prob of picking 2 h and 2 p?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*o**3 - 114*o**2 - 4716*o + 25657768 wrt o.\nAnswer: 96*o**2 - 228*o - 4716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1212, 2422, 3632, 4842, 6052?\nAnswer: 7262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 6*v - 10594 = 4*v, -5*t + 3*v = -10609. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**4 + 316*w**3 - 2348*w**2 + 5124*w - 3096 = 0. Calculate w.\nAnswer: -86, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -136*v**3 + 6*v**2 - 19*v - 18. Let w(s) = -67*s**3 + 3*s**2 - 9*s - 8. Let a(t) = 4*l(t) - 9*w(t). Find the third derivative of a(f) wrt f.\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5096?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 4*g - g. Let p(h) = -31*h - 45. Let d be p(g). Suppose -4*f + d = 4*l, 5*l = 7*f - 5*f - 183. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**2\/11 + 4*s\/11 - 2\/11 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, 2\/9, -1, 48?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 11) to base 13.\nAnswer: -a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 195, 1102, 2683, 4932, 7843?\n\"Answer: -c**3 + 343*c**2 - 115*c - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1)*x)\/(x\/(x*x\/(((x*x**3*x)\/x)\/x))))\/(x**(2\/5)\/x*x*x\/x**(-3)) assuming x is positive.\nAnswer: x**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 574*b - 290*b = 287*b + 58 - 6, -8*p - 2*b + 22 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 368ac (base 15) in base 14?\nAnswer: 4762b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 29088256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5949105 and 1990.\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 170 = -h. Suppose -25 + h = 2*x. Solve -2*s - s - x = -5*f, -2*s - 1 = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -41\/12*u**4 - 4*u - 10*u**2 + 0*u**6 + 31\/210*u**7 + 0*u**3 + 0*u**5 + 0. What is the second derivative of z(o) wrt o?\nAnswer: 372*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.037\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3799, 7166, 10423, 13516, 16391, 18994, 21271?\nAnswer: 23168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5, -6, -25, -52, -87?\n\"Answer: -4*p**2 + p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**6\/280 - o**5\/35 + 5*o**4\/56 - o**3\/7 - 10*o**2. Factor d(x).\nAnswer: 3*(x - 2)*(x - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1085730513710.000068 + 1085727287244. Let o = i - -3226435. Let s = o - -31. Round s to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**3 + 3*t**3 - 3*t**3)*(472 - 474 - 303*t + 1240*t).\nAnswer: 3748*t**4 - 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13015077 is divided by 390?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1382 - -1387. What is the greatest common divisor of k and 415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*g - 6. Let u(j) = 5 - 8*j + 5*j + 5*j - j**g. Determine u(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.552 - 465.977.\nAnswer: -465.425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.51 + -32.59. Let j = b + -151.9. Let r = 186.99919 + j. Round r to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, w: 3, a: 1}. What is prob of picking 1 j, 1 a, and 2 w?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 388777247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*z + 345*h - 344*h, -11 = -4*z + 5*h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jtttj. What is prob of picking 2 j and 2 t?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -108, -143, -160, -153, -116, -43?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 1:28 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -890*k = -1060*k - 5950 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -194, -745, -1658, -2927, -4546, -6509, -8810?\n\"Answer: k**3 - 187*k**2 + 3*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 6*k = 3*k + 1520006, -5*l - k + 1900002 = 0. Round l to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/18 - -3*15\/(-405)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 + 3.07. Let u = -6 + t. Let i be ((-18)\/12)\/(75\/12 - -2). What is the smallest value in i, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.01 (b) 6\/109 (c) 14586\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1))\/r)**(-10\/13)*(r*(r\/((r**7\/r)\/r*r*r*r))\/r)\/(r\/((r\/(r*r*r**5))\/r*r)*r) assuming r is positive.\nAnswer: r**(-205\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -551, -712, -963, -1292, -1687?\n\"Answer: 2*d**3 - 57*d**2 - 4*d - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/7 - 466*b**4\/7 - 6918*b**3\/7 + 466*b**2\/7 + 988*b = 0. What is b?\nAnswer: -14, -1, 0, 1, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 + c**2 - 2*c**2)*(-3 + 2 + 3) + (2*c**2 - c**2 + c**2)*(3 - 2 + 1) - 4*c**2 + 2*c**2 - c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1664*r + 189 + 192 + 191 - 572 as b*r + u and give b.\nAnswer: -1664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*l - 53 = -2*v, 5*l - 265 = -5*v. Let y = -51 + l. Calculate the greatest common divisor of 4 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2004\/(-1670))\/(2*4\/32).\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebe when three letters picked without replacement from {e: 18, b: 2}?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 17, 55, 131, 257, 445, 707, 1055?\nAnswer: 1501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 0 + 0)*(-y**3 - 3*y**3 + 2*y**3) + 0*y**5 - 2*y**5 + 3*y**5 + (0*y - 2*y + 4*y)*(-y**4 + y**4 - y**4) - 3*y**5 + 22*y**5 - 10*y**5.\nAnswer: 10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439827 is divided by 200?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 3*j**2 + 5*j - 1. Let p be l(4). Suppose -2*k - 32 = -p*k. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*w + 18*w + 1 - 6 + 15*w in the form n*w + g and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 307953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 2*t = -h + 33, -t = -h + 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521407596 a multiple of 817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -33?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-6*3*sqrt(76) + sqrt(76)))\/(sqrt(196) + (sqrt(196) + (sqrt(196)*-2 - sqrt(196) - sqrt(196)))*5).\nAnswer: -85*sqrt(19)\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.9276 to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22110520 (base 7) to base 14.\nAnswer: 377147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -47*x - 832. Let y be k(-18). Solve 299*d = 306*d - y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6526a - 4?\nAnswer: 65266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 5 = -r, -2*b + 2 = -19*r + 16*r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i + 168*i - 1 + 1 to g*i + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/19 (b) 114 (c) 0.5 (d) 3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*g - 3. Let a(u) = 22333*u**2 - 2*u - 3. Let b be a(g). Round b to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -215 or -263?\nAnswer: -215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 0, 11, 30, 57, 92, 135?\n\"Answer: 4*s**2 - s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1845 + 1866.64. Round q to zero dps.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1194 divide 884152849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s + 10*s**3 - 46 - 3*s**3 + 45 - s**2. Is k(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -8 in descending order.\nAnswer: 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 62925572603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - q**2 + q + 1. Let f be 0\/(-5 - (-3 + 0)). Let u be k(f). Let v = 284\/9 - 274\/9. Are v and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-2 + 2 - 3)*(-k + 4*k - k)*(2*k - 2*k + k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 2*c + (19*c + 14 - 14)*(6 - 6 - 112) + c - c - 2*c as j + k*c and give k.\nAnswer: -2128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8000, 16403, 30408, 50015, 75224?\n\"Answer: 2801*z**2 + 5199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172.764808 rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/9*(-2)\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 37.64*-2\nAnswer: -75.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 17, t: 1}. What is prob of sequence utu?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 153 (base 12) to base 10\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i - 769*i**4 + 15*i**2 - 412*i**6 + 769*i**4 wrt i.\nAnswer: -49440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 47892, 97937, 147982, 198027?\n\"Answer: 50045*i - 2153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 20*y + 2. Let m(z) = 21*z + 1. Let x(g) = 2*m(g) - 3*n(g). Let w be x(-2). Find the third derivative of -3*r**6 - 33*r**2 + w*r**2 - 10*r**6 wrt r.\nAnswer: -1560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2 + (-5*(0 + sqrt(2299)) + -5*(0 + sqrt(2299)))**2)*-4 + -1).\nAnswer: -919593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/4 (b) 2\/125291 (c) 72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.77347 micrograms in tonnes?\nAnswer: 0.00000000000077347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, -343469, -0.3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -7\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4608904 divided by 271112?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrjglgwlww. Give prob of sequence rw.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 65\/(-10) + (-2)\/(-4). Let c(z) be the first derivative of -z**4\/4 - 5*z**3\/3 + 3*z**2 + 4*z - 6. What is c(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4988*t + 5212456. Calculate n(-1045).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = l + 4*h, 6*l + 363*h - 359*h = 0. What is the fourth biggest value in -0.08, 1\/4, -5, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/56 of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 17*g - 67. Let z be s(8). Solve -n - d + 11 = -5*d, n + z*d + 16 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 k, and 1 l when three letters picked without replacement from {q: 1, l: 1, e: 1, c: 2, k: 1, w: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 24*r**2 - 13*r + 167. Let f be l(23). Let a be f*9 - 112\/(-16). Round a to the nearest 100.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788 less than or equal to 790?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8027?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 127138639?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 725450 = -5*u, 5*j - 21*u = -26*u - 725450. Round j to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 4*g**2 + 8*g + 2. Give w(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/17 (b) -12\/85 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 600182140?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.17 in -54, 37, 1\/2, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2740, -2722, -2700, -2680, -2668, -2670, -2692, -2740?\nAnswer: -2820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 690690 and 678615?\nAnswer: 194083890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-150)\/8)\/5*(14 - (-140)\/(-14))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/2853 and -7\/27.\nAnswer: 8559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, -3521, 9.1?\nAnswer: 9.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1333 - -1614. What is the remainder when h is divided by 90?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -14 - (14 - (4 - 3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-3)*-2*-3. Let a = 0.1 + -0.1. Which is smaller: a or k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = y - 3*k, 5 = y + 4*k + 2. Let s = -11 + 11. Sort -0.5, y, s, -1\/4 in decreasing order.\nAnswer: s, -1\/4, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ik when two letters picked without replacement from {k: 1, o: 1, t: 1, i: 1, r: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 693.7313 millennia to months.\nAnswer: 8324775.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 54 = -2*k, 3*i = -2*k - 2*k + 98. Suppose -217 = 4*d - q, -4*d - k = 5*q + 161. Let x = d - -89. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**2 + 220*b - 3545. Give p(-57).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*v = -3*l - 3, 3*l - 15 = -5*v. Suppose -5 = 5*j, -3*j + 64 = 4*m + v. Suppose 3*x = 340 - 55. What is the remainder when x is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkk. Give prob of sequence kk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 13 = 7. Let i = -69380 - -69381. What is the closest to i in 0.4, z, -0.7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2892948, 5785900, 8678854, 11571810?\n\"Answer: s**2 + 2892949*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93911437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.968049187 rounded to two dps?\nAnswer: -0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -9. Let a = u + -2. Let v = 374 + -344. Calculate the highest common divisor of v and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**2 + 10*x - 2. Let g be n(0). What is the least common multiple of 6 and (-156)\/(-117)*(-21)\/g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1380 and 30?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23980564417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -179.28969 plus 42444?\nAnswer: 42264.71031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0210990755 to four dps.\nAnswer: -0.0211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2*h + 9716*h**2 - 11636*h**2 + 1.\nAnswer: -1920*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 18 = 5*c, 2*c + 4*i + 6 = -i. Suppose 0 = 3*k - c*k + 4. What is the nearest to -0.1 in 4, 2\/9, k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 767 - -8548025.23\nAnswer: 8548792.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -984, -6297, -20380, -47619, -92400?\nAnswer: -159109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*g + 228 + 177 = 0 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**4 - z**4 + 6 - 82*z + 5 + 2*z**3 + 80*z - z**2 in the form g*z**4 + i*z + q + d*z**2 + a*z**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**8\/210 - g**6\/360 + g**3 - 4*g**2. Let w(d) be the first derivative of y(d). Find the third derivative of w(x) wrt x.\nAnswer: 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -33202*y**3 + 16*y**2 - 19*y + 5. Let p be n(1). What is p rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4*u - 10. Let w(c) = 2*c + 2. Let p be w(u). Let o be (64 + 1 - 3) + p. What is the highest common factor of 24 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-44))**8)**(-49) assuming g is positive.\nAnswer: g**16856","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 2 + 18 - 10 - 899*d to g*d + p and give g.\nAnswer: -899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 7209.\nAnswer: 1\/2403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -23443534 (base 6) to base 8\nAnswer: -2637322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.5 + 3.5. Let s = 9.1 + m. Is s at least as big as 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 7608?\nAnswer: 15216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + sqrt(833)) - ((sqrt(833) - (sqrt(833) - (-2 + sqrt(833))**2))*6 + sqrt(833) - sqrt(833) - sqrt(833)).\nAnswer: -5020 + 168*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.02 + 0.02. Let y(z) be the first derivative of -z**3\/3 + 7*z**2\/2 - 5*z + 4. Let p be y(5). What is the closest to 1\/4 in f, p, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*f - 662*f**2 + 664*f**2 - 18*f - 232*f.\nAnswer: 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1093 + 2205. What are the prime factors of s?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 37*h**5\/5 + 4*h**3 + 2*h + 41. What is the third derivative of r(n) wrt n?\nAnswer: 888*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-364)\/(-585)*5\/(-4)\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 6 + 2*l - 17*l + 5*l + 2*l. Let c be k(-3). Let w be 68\/(-6) + (-20)\/c. Is w equal to -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - s**4 - 242*s**3 - 2*s**2 + 3*s**2 + 241*s**3 - 4 - 2*s to the form q + n*s**3 + z*s**4 + v*s**2 + k*s and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -249379 times 1304?\nAnswer: -325190216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35.59? (a) -1 (b) 0 (c) -4 (d) -1\/5 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10966?\nAnswer: 2, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-182)\/455)\/(3\/495)*1\/(-8)*4.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3485.582 to the nearest integer.\nAnswer: -3486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 24 + 76. Does 9 divide 1470\/w + 6\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9b - 9?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-10) - (-3 - -2). Let o = -0.303 - 125.697. Let r = o + 127. What is the biggest value in k, 3\/4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.4736862 rounded to 2 dps?\nAnswer: 29.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**8\/3360 - b**7\/12 + b**6\/600 + 7*b**5\/12 - b**4\/240 - 35*b**3\/12 - 8*b**2 - 10*b - 9. Determine f, given that j(f) = 0.\nAnswer: -175, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 4)*(0 - k + 0 + 3*k - 4*k + 2*k + 2 - k - 2 + (-4*k + 5*k + k)*(3 - 2 - 3)).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/5106 + -314069\/51060. Calculate the common denominator of w and -9\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*r + (0 - 2 - 1)*(-2*r + 0*r - r))*(-2*r + 4*r + 0*r).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*k + 33, -2*y - k - 3*k + 8 = 0. Let t(f) = 10*f - 3 - 4*f + 6 - 2*f. Let b(a) = 15*a + 11. Let o = -1 + -21. Determine o*t(q) + y*b(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1870.\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 42.51324 millilitres?\nAnswer: 0.04251324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 377223292*b**3 - 722603865*b wrt b?\nAnswer: 2263339752*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 - 173 + 173 - 97*a**2 + 81.\nAnswer: -97*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 + 0*t**4 - 2*t**4)*(-t + 0 + 0) - 2*t**5 - 4*t**5 - t**5.\nAnswer: -4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*h - 3*h + 5*h)*(-2 + 0 + 4) - 7*h - 6*h + 47 + 11*h)*(-4*h**2 - 3*h**2 + 4*h**2).\nAnswer: -6*h**3 - 141*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/3, -88, 0, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18000607957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 69448275?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2258\/7 + -322. What is the smallest value in -4, -8, q?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1457\/1767 - 16\/(-12).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9935*p + 1187*p**4 - 9935*p)*(-p - p + 6*p).\nAnswer: 4748*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/10, 4, 5\/3, -60, -3\/5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/104367 and 137\/192888?\nAnswer: 353177928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13554393283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (182\/52)\/((-1)\/20*5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 - -51.0000113. Round i to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.3 - 2. Which is the closest to -0.2? (a) -4\/7 (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * -3711.9.\nAnswer: 148.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*c + 20 = 3*n, 3*n - 10 = 2*c. Let y be 3 - (-4 + 3 - n). Suppose -6*b + y*b = 4. What is the closest to 1 in 29, 2\/21, b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9776.127 millennia?\nAnswer: 117313524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(30\/(-4)) - (-7714)\/870. Solve -20 = -5*d + v*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, z: 2, f: 1}. Give prob of sequence zz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 + 278*t + 3073. Let m be z(-13). Let v = -3 - 0. Put v, m, -2 in decreasing order.\nAnswer: -2, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d**3*x**2 - 6*d**3 - 25*d**2*x - 10*d*x**4 - 2*d*x wrt x?\nAnswer: -8*d**3 - 120*d*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 51 - 3222*w - 64 to the form q + s*w and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -223\/12, 0, 33.13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -41 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -8 + 2 + -8 - -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c - 2*c)*(2*c + c - 5*c) + 21*c**2 + 11*c**2 - c**2 + (c + c + 0*c)*(5*c - 4*c - 3*c) - 2*c**2 + 1 - 1.\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 + (11 - (-5688 - -1)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 301.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25945?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -164*f + 2322 + 2926 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28771 is divided by 2397.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5105 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 66, 0.1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -25*h**7\/21 + h**6\/15 - 28*h**4\/3 + 6*h + 3. What is the third derivative of s(d) wrt d?\nAnswer: -3000*d**2 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (2 - 5) + 1 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1574, 1700, 1826, 1952, 2078?\n\"Answer: 126*o + 1448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -116) + 5615 + -5676.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 4*q + 7. Let w = -2441 + 2606. What is the remainder when w is divided by y(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66294349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gc when two letters picked without replacement from {w: 1, c: 1, m: 1, g: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9461898 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*t - 206 = -3*a, 5*t + 97 = a. What is the highest common factor of 54 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -27.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 - 0.39. Let z = 0.18 + o. Let q = 124 - 618\/5. Put z, q, -5\/4 in increasing order.\nAnswer: -5\/4, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -47092 + 120a?\nAnswer: -45a84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1263169*q**4 + 2*q**3*u*z + 2*q**3*u + 4*q**2*u + 1381487*u*z wrt q?\nAnswer: 30316056*q + 12*u*z + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 8. Let y be (1\/(-2))\/((-4)\/16). Let o be (0\/y)\/(-3 + 2). What is g(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m - 12*m**3 - 280 + 4*m**2 + 575 - 4*m**2 - 288. Let l(v) = -v**3 - v + 1. Calculate 4*l(r) - n(r).\nAnswer: 8*r**3 + 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 0*v - 2*v - 11 = 0, -q + 5*v = -26 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3030786ml?\nAnswer: 0.0003030786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0*f*f)\/f**(2\/89))\/(f*(f\/(f*f\/(f*f\/(f\/(f\/f**(-13\/5))))))\/f)**(-1\/39) assuming f is positive.\nAnswer: f**(11974\/5785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1235 and 1482?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, c: 2, y: 1, z: 1}. What is prob of sequence yp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.7 (b) -1.4 (c) 1 (d) -5 (e) 71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1798 - -1921) + 4 + -1 + -4 + 14?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -373 (base 8) to base 15.\nAnswer: -11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -317, -369, -457, -599, -813?\n\"Answer: -3*m**3 - 31*m - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 5*h - 4*a - 96, -4*a = -2*h + 84. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (10 + 14) - -10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 3*c - 1. Let k be (1 - -2) + (-5 - -3). Let n = 2 + k. Suppose -8 = -n*o + o. Calculate z(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*1\/6*10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16b - 4?\nAnswer: -16f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1377, -1364, -1351, -1338, -1325, -1312?\nAnswer: -1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjj. What is prob of picking 4 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (37 - (19 + 29))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-6 - (-290)\/50)*-1. Which is the closest to 64\/7? (a) -0.3 (b) -0.5 (c) 4 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5454889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18 (b) -587 (c) 156\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 17 + (1 - 10)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgddpdpgpppddddddg. Give prob of picking 2 d.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-1)*((-533)\/(-26) - 20). Which is the fourth biggest value? (a) z (b) 1\/5 (c) 0.0325 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 3. Put 3, 5, l in descending order.\nAnswer: 5, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 30823\/37836?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -556.\nAnswer: -5\/556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30856294 and 140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -164 - 14. Let x = 177.8 + t. Which is the closest to 25? (a) -0.1 (b) 1\/8 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**4 - 959*r**2 + 958*r**2 - 2*r**3 - 10*r**3 as q*r + w*r**2 + s*r**3 + u*r**4 + b and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1188)\/2772)\/(9\/((-2)\/(-2))).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**3 + 2*j**2 + j. Let n be q(-1). Let z(v) = -10 + n*v**3 - 4*v**3 - v**3 + 7*v**2 + 9*v. Suppose -317 - 51 = -46*t. Give z(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1010 and 101?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 93 = o, -9*o + 5*o - 4*y = -432. Calculate the greatest common divisor of 1645 and o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/6*(2 + -4). Differentiate -5*r**3 - l + 0 - 3 + 4 with respect to r.\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-2))\/(1\/6). Let m be h\/(-1 + 25)*-2. Let o(j) = j**2 + 5*j + 3. Let y be o(-4). Which is the second biggest value? (a) y (b) m (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**3 - 5. Let y(g) = -4*g**2. Calculate h(y(t)).\nAnswer: -48*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*a**4 + 28*a**4 - 18*a**4)*(a - 2*a - a + a - 2*a - a + (-a - 3*a + 2*a)*(2 + 1 - 5) + 4 - 3*a - 4).\nAnswer: 24*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.2, 8904, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 - 268 = -5*h. Let c = h + -75. Solve c = -i + 3*g + g, -10 = 4*i - 3*g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/27*(-2)\/32*-2.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1438, -5774, -13002, -23122?\n\"Answer: -1446*d**2 + 2*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 20 = 8. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 h, and 1 o when four letters picked without replacement from {p: 3, g: 1, o: 6, h: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 15*w, -3*h - 20*w + 24*w = -11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -38750, -38663, -38432, -37985, -37250?\n\"Answer: 12*h**3 + 3*h - 38765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/9 - 7839*x - 14575942\/9.\nAnswer: (x - 70757)*(x + 206)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/24761 and -151\/726.\nAnswer: 1634226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2.44, 11, -1\/6, -4, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41583, 41582, 41581?\n\"Answer: -g + 41584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 228 by -57.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f**2 + 4*f**2 + 0*f**2 + (-2*f - f + 4*f + (0 - 3 + 2)*(-13 + 13 + 6*f))*(2*f - f + 4*f) - 1 + 1 + 7*f**2.\nAnswer: -19*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*q + 68*q = 22. Which is the nearest to 1.1? (a) -5\/3 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20815*v - 158896 - 280282 = -22878 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -822523504, -1645047008, -2467570512, -3290094016, -4112617520, -4935141024?\n\"Answer: -822523504*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*f**2*m**2*q*z + 48*f**2*q*z + 112*f**2 - 2512461*f*m**2*q*z - 670*f*m*q*z - 3*q*z wrt m?\nAnswer: -20*f**2*q*z - 5024922*f*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + o = 60, 4*j - o = 3*j + 15. Suppose -1006 + 511 = -11*m. What is the common denominator of 5 and (-36)\/m + 247\/j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 2*o + 1. Let k be s(2). Suppose 192 = -5*r - 2*a + 1134, 5*r - 935 = k*a. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 14\/51 (b) -0.7 (c) 2\/3 (d) 0.1 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 669\/133 - 35103\/6650. Let l = j - 9\/50. Suppose -4*w = -5*x - 11, 0*x + 4*w - 21 = -5*x. Which is smaller: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - h**2 - h. Let z(j) = -22*j**2 + 32*j**2 + 10*j - 2 - 220*j**3 + 366*j**3 - 186*j**3. Give -10*l(r) - z(r).\nAnswer: 30*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.6701 + -9.61. Let z = c - 0.059769. Round z to five decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 2)*(3 - k - 3) + 3*k + 0*k + 4*k)*((0 - 1 - 1)*(4 - 5 + 2) - 10 + 2 - 3 - 3 + 3 + 2).\nAnswer: -88*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 1. Calculate the common denominator of c - (-3 - -1 - -25) and (-9)\/(36\/56) + 17*(-2201)\/(-3689).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -b + 802, -8*b + 3247 = -4*b + 3*u. Let w = -3327 + 3349. Calculate the highest common factor of b and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -67282*m - 605542. What is p(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5+1.2643\nAnswer: -3.7357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -14*y + 7. Let l be w(7). Let u be (-1)\/4 - l\/28. Suppose 20 = 5*t, 5*m - t = -u*t + 108. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4\/5 (b) -1 (c) 0.06 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2*i - 119, k + i = -3*i + 149. Suppose -4*w - 4*j + 244 = 0, -3*j + 444 = 5*w + k. Is 33 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 48 = 4*o, -4*j + 0*o = -4*o - 132. Let d = -15 + j. Calculate the remainder when 32 is divided by 52\/3 - 5\/d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 154*s + 124. Let x(i) = 92*i + 63. Let u(y) = -3*n(y) + 5*x(y). Give u(8).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 3*x**2 + 5*x + 5830. What are the prime factors of r(0)?\nAnswer: 2, 5, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*i - g, 0 = 1980*i - 1979*i + 2*g + 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41 or 1022\/25?\nAnswer: 1022\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(16\/(-6) + 2). What is the units digit of 10 - (j - 2 - -6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -5*h + 73, 5*h = 5*i + 40085 - 40020 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 38. Let r(n) = -n + 40. Let w(v) = 3*g(v) - 2*r(v). Give w(12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 7*r**2 + 12. Let s be m(5). What is the least common multiple of 2 and (-2620)\/(-380) + (-4)\/s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.9 * -0.01\nAnswer: -0.089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 18*j - 5. List the prime factors of z(-19).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.7 - 7.5. Let f = 0.2 - s. Let i = 43 + -48. What is the second smallest value in f, i, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 9*o + 92. Let x be i(-15). Solve n + 5*c = 2 + 2, x*n - 3*c = -5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-14) - (-22)\/77?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 + -61. Which is the biggest value? (a) 2\/5 (b) 5 (c) -0.03 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15207, -15433, -15663, -15897, -16135, -16377?\n\"Answer: -2*j**2 - 220*j - 14985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 2:10 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nu when two letters picked without replacement from {n: 12, u: 7}?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*x + 360 = 23*x - 31*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-10)*10\/4. Let j(l) = 3*l - 3. Let v be j(3). Solve v = 4*s - u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b**2 - 121*b - 26. Let g be p(-20). Let f be g*(-9)\/486*6. Factor -2\/3*s**2 - f*s**4 + 0*s + 0 + 4\/3*s**3.\nAnswer: -2*s**2*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19, -17, -21, -37, -71, -129?\n\"Answer: -r**3 + 3*r**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189520 divided by -4.\nAnswer: 47380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6642 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a - 2. Give o(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 14, 5 in descending order.\nAnswer: 14, 10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 999977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/904087 and 30\/11.\nAnswer: 9944957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -64, 2, -94 in ascending order.\nAnswer: -94, -64, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/17 (b) 3\/8 (c) -9 (d) 1649\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 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: Express -2*j**4 + 313 - j + 7*j**3 - 4*j**2 - 308 - 6*j**3 in the form d*j**4 + k*j**2 + i*j**3 + u*j + h and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63123 - 0?\nAnswer: 63123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3382674845124893.9 - 3382675219086817.10000126. Let t = s - -373961909. Let l = -14.2 - t. What is l rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (30 - 12) + -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3380 divide 73231429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 4281564894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**3 - 1. Let b(r) = -6*r**2. What is p(b(j))?\nAnswer: 108*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*g*j*q**2 - 2*g*j*q - g*q*w + 7*j*q + 2*q**2*w + 14*q**2 with respect to g.\nAnswer: -27*j*q**2 - 2*j*q - q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a1a + -170a?\nAnswer: -7a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10, b: 10}. What is prob of sequence bb?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3143045 - 0?\nAnswer: -3143045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 18818.158 to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-3))\/(9\/12). Let h(j) = j**2 + j + 1. Let i be h(0). Do o and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 6:29 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2525707 and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 345, -1, -3, -4.\nAnswer: -31, -4, -3, -1, 345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from {c: 16, f: 1, y: 1}?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1115\/6 - (-13)\/78. Let l = 363 - r. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*(sqrt(833) + (sqrt(833) - (0 + sqrt(833) - sqrt(833))**2))*6.\nAnswer: -336*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 3:21 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1156\/10*(18 + -13). Let v = d - 335. Calculate the greatest common factor of v and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -22. Suppose 12*k - 8 = x*k. Let w be k\/(-6) + (-39)\/(-9). Solve 0 = -4*n + 3*p + 24, -w*p = -3*n + 29 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -3\/7, 271, -54.6, 3, -3\/8?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -1\/3 (b) 0.1 (c) 10 (d) 1\/3 (e) -0.46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (200\/160)\/((-6)\/(-40))*9\/15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t. Let y(x) be the first derivative of -3\/2*x**2 + 0*x + 5\/3*x**3 + 66. Give f(y(b)).\nAnswer: -5*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -61, 11, 12, 4.\nAnswer: -61, 2, 4, 11, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.355 - 0.72. Let m = 0.2313 + v. Let f = -0.0884 - m. What is f rounded to three decimal places?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -379 = -6*z + 3*z + 2*n, -n + 509 = 4*z. Differentiate -89*y - 28 + z*y + 3 with respect to y.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-190)\/(-76)*(-44)\/10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 21*y + 0 + 25\/12*y**4 + 3\/4*y**5 - 5\/2*y**3 - 3\/2*y**6 + 10\/21*y**7 + 0*y**2. Factor h(z).\nAnswer: 5*z*(z - 1)**3*(4*z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2815072 bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 58, 519, 1772, 4213, 8238, 14243?\n\"Answer: 66*t**3 - t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 61*-1159\nAnswer: -70699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 654501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**7)\/l)**(-4\/17)\/(l\/l**8)**(-3\/22) assuming l is positive.\nAnswer: l**(-973\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 t when four letters picked without replacement from vtvtttt.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20412708 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*c**4 - 22*c**4 + 6*c**4)*(2 + 0 + 0)*(-2 + 8 + 2).\nAnswer: -80*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.00506 times -49.75\nAnswer: 0.251735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26643139 is divided by 476.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 15*a**3 - 17*a**3 - 2*a - 3*a + 3*a. Let g(k) = -2*k**3 - 3*k. Give -2*g(v) + 3*t(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j - 2 + 2)*(34 + 22 - 25) as f + w*j and give w.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -298? (a) -5 (b) 0.08 (c) 0.3 (d) 0.1 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 291*(-4)\/(-2)*571\/(-3426).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14 + -679?\nAnswer: -690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 8 = 3*q, -27 = -5*t - 10*q + 8*q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*(sqrt(720) + 4 + (sqrt(720) + -1*sqrt(720))**2 + sqrt(720))*3.\nAnswer: -72*sqrt(5) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 - 576*g**2 - 1547*g**2 - 3*g**3 + 113*g**2 - 56*g**2.\nAnswer: -g**3 - 2066*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from rrzrmrrnrvzrsnr.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 6*d**2 + 111*d - 671. Calculate w(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -448943, -448918, -448877, -448820, -448747, -448658?\n\"Answer: 8*l**2 + l - 448952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*z - 39, 2*z - 10 = 10*k - 12*k. What is the smallest value in 3, k, 2, -745\/2, -1\/4?\nAnswer: -745\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {t: 5, r: 1, c: 1, w: 6, o: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 19 = 3*c + 23, 98 = 5*l + 2*c. Let z(o) = -o + 21. Let v be z(l). Solve 7 = -2*r - v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2 + 356*q**2 + 300*q + 3 - 300*q to b + m*q + c*q**2 and give c.\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1120021 (base 4) to base 15\nAnswer: -1a11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26)\/(-5) + (-4)\/20. Suppose -3*a = 2*v - 5*a - 2, -w*v = 4*a - 14. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/(-16) + -2 + (-210)\/(-40). Let x(c) = -6*c + 10. Give x(p).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - (sqrt(91) + (sqrt(91) + sqrt(91) + sqrt(91) + sqrt(91)*1)*-1 + sqrt(91)))\/(sqrt(7) - (sqrt(175)*1 - sqrt(175) - sqrt(7))).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87438*a**3*h**2*x**3 - 3*a**3*h*x**2 + 3*a**2*h*x**2 - 2*a*h**2*x**3 + 2*a*x**2 - 86*h*x**3 + 2*x**3 wrt h?\nAnswer: -174876*a**3*x**3 - 4*a*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70460*s + 945 = -70523*s for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, z: 1, b: 7, h: 4}. Give prob of picking 1 f and 1 z.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8617 and -0.3.\nAnswer: 2585.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -776, -1558, -2342, -3128?\n\"Answer: -f**2 - 779*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 16177 and 59.\nAnswer: 16236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, s: 3, t: 1, r: 6}. Give prob of sequence stss.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/30 - (-3)\/(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) + -4*sqrt(117)\/sqrt(3))\/(-1*3*sqrt(3)) + (-4*-3*sqrt(91))\/((sqrt(42)\/sqrt(6) + sqrt(7))*5))**2.\nAnswer: 1573\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90221876?\nAnswer: 2, 563, 40063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 182882 divided by 43?\nAnswer: 182882\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 384 + -373. Calculate the smallest common multiple of p and 60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1333231 (base 4) in base 11?\nAnswer: -6160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, -4.9, -11\/3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 4. Let i(b) = b**3 - b**2 - 6. Let k be i(0). Let c be d(k). Solve -2*h - 10 = -c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 6*c**2 + 3. Let s be j(-6). Suppose 0 = s*l + l - 56. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rprr when four letters picked without replacement from {r: 7, p: 1, q: 1}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -9*c - 6. Let w be q(-10). Suppose -p = 6*p - w. Find the third derivative of -13*j**2 + p*j**3 + j**3 + 27*j**2 wrt j.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (3*sqrt(18))**2) + (-1 + sqrt(2) + -5)**2 - (1 + (sqrt(200) - (-3 + sqrt(200) + -1))**2))*-2 + 1.\nAnswer: 22*sqrt(2) + 283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5202730.\nAnswer: 2, 5, 13, 31, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1967 + -1967.08. Sort -85, j, -1, 1, -3 in increasing order.\nAnswer: -85, -3, -1, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2041969520?\nAnswer: 2, 5, 19, 47, 101, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 5*k - 23, 0 = b + 3*k - 6 - 5. Differentiate -d**b + 10 + 6 - 21 with respect to d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 54 = 17*x. What is the third derivative of 4*b**6 + 8*b**2 - 6*b**2 + 9*b**2 + x*b**6 - 73*b**6 wrt b?\nAnswer: -7560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**4*g\/(g**3\/g) assuming g is positive.\nAnswer: g**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8*z**3 + 9*z**3 - 2*z**2 + z + 14 + 12 - 31. Let m be s(2). Calculate the greatest common divisor of 25 and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 407198202 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -28*c**2 - 20*c - 8. Let v(q) = 4 + 0 + 19*q**2 + 1 + 8*q + 5*q. Let w(s) = 5*b(s) + 8*v(s). What is the second derivative of w(i) wrt i?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9304533 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3 = 3*r, 5 = 3*x + 2. Let t be 124\/(-5) - (-6)\/(-30). Let j = 25 + t. Solve j = r*m - 3 - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-19 + (38 - 40 - (0 - -3)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96 - -113. What is the remainder when a is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -201*(-20)\/15. Let f = w + -110. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1 - 35*g - 1 to the form k*g + r and give k.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 240\/(-1800)*(-10)\/12.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f - 1. Suppose 3*m + 3*h + 12 = 0, 0 = 5*m + h + 2*h + 10. Let k be c(m). Suppose 4*s - k = 11. Solve w = -s*w + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*h - 109*h + 14*h + 17957 - 901 = 0 for h.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 71*i**3 - 182?\nAnswer: 213*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w - w + 2*w + (4*w - w - 2*w)*(1 + 2 - 1) - 2*w + 3*w + 3*w + (2*w + 2*w - 2*w)*(-1 + 3 + 3) + 2*w - 4*w + w.\nAnswer: 19*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 5262*b - 5265*b + 6 = 0, -m - 3*b - 4 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -8*j**2 - 3*j - 394. Let v(r) = 19*r**2 + 7*r + 787. Calculate 3*v(g) + 7*z(g).\nAnswer: g**2 - 397","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -23*m**5\/60 - 468*m**2. Let z(j) = -7*j - 2. Give d(z(o)).\nAnswer: -1127*o**2 - 644*o - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 46779 and -783670261.\nAnswer: -783623482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4796*a**3 + 3*a - 2. List the prime factors of l(1).\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-15)\/(-25))\/(-3)*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 41*c**2 - 2*c - 4178. Let u(x) = 186*x**2 - 9*x - 16711. Give -9*i(a) + 2*u(a).\nAnswer: 3*a**2 + 4180","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 60 = -11*v. Suppose 21*d - 75 = v*d. Solve 5*j + 2*n - d*n = -17, -2*j - 4*n - 12 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 65 - 551 = -3*w, -4*w + 2*p = -636. Calculate the remainder when 796 is divided by w.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 15678 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1361 = -220*j + 619 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 5*s + 3 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3069 and 1462437.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b8c20 (base 13) in base 8?\nAnswer: -6740535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54280 + 54275. Let p = -10 + 14. What is the biggest value in p, -4, t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 4*z**2 - 6*z - 3. Let j = -5 - 0. Let u be p(j). Suppose 30 = u*f + 3*c, 4*f - 4*c - 82 = c. Calculate the remainder when 67 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20372334 and 33798?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*i**3 + 205*i**2 - 560*i + 345.\nAnswer: 5*(i - 1)*(i + 23)*(2*i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 5*w - 1. What is g(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (7 + -25 + 6 - -11)) + 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35507297, 35507294, 35507291?\nAnswer: 35507288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/(-11610))\/((-10)\/418134857046). Let y = t + 54022579. Let j = y + 263\/43. Calculate the common denominator of j and 35\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.28 or 395116?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 + 74*p + 371. Let m be w(-8). What is the fourth smallest value in -0.4, -2, 6, m?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -349239\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.00002+187.98\nAnswer: 187.97998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6)*(-306)\/(-266). Let i = o - 10\/19. What is the closest to -0.2 in i, -6\/13, -3\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 + -49. Let j be (1 - 6\/12)*-2*c. Put j, 5, 1 in increasing order.\nAnswer: j, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v - 21*v - 24 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*t + 5*q, 7*q - 4*q = -2*t + 28. Solve 5*v + 31 = t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - -102. Let k = m + -66.0000054. Round k to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51520508 is divided by 248?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 70, 260, 586, 1054, 1670?\n\"Answer: m**3 + 62*m**2 - 3*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*4\/5 - 20\/50. Let z(i) be the second derivative of 0*i**c + 0*i**3 + 0 - 3*i - 1\/4*i**4. Let b(q) = 3*q**2. Give b(z(y)).\nAnswer: 27*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1066, 0.1, -1\/4 in decreasing order.\nAnswer: 0.1, -1\/4, -1066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 567657213 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43736304?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -1 - 4, 5*l = -5*w - 35. Which is the closest to l? (a) -2 (b) -7\/5 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5\/3 - 26390*b**4\/3 + 1322467*b**3\/3 + 12320180*b**2\/3 - 240703372*b - 2627395680 = 0. Calculate b.\nAnswer: -26440, -14, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11201 divided by 2.\nAnswer: -11201\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (1 + -3)) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4196 + 46*a**2 + 4373 + 5*a**2 - 2*a**4 with respect to a.\nAnswer: -8*a**3 + 102*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2278843370 divided by -2\nAnswer: -1139421685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106429 is divided by 34595?\nAnswer: 2644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1212357, 1212353, 1212347, 1212339?\n\"Answer: -o**2 - o + 1212359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 238, 522, 888, 1318, 1794, 2298?\nAnswer: 2812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**5\/12 + y**4\/6 + 9*y**2\/2 + 7. Let b(n) be the second derivative of r(n). What is the second derivative of b(q) wrt q?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 31*w - 209. What is z(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 12*q**3 + q**2 - 1. Let g(j) = j + 2. Let l(s) = -s + 1. Let n(i) = g(i) + 2*l(i). Let c be n(3). What is k(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 806*s - 154110. Calculate k(-494).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 8. Let j be f(-6). Let x = -74\/5 - -498\/35. Is x < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m - 45. Let o be g(-16). Suppose -o*q = -4*q + 4. Solve -u + 20 = 3*u, -u = q*d - 13 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 41*h**2 - 14*h - 676. What are the prime factors of w(45)?\nAnswer: 2, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 949*x**2 + 1054*x**2 - 431*x**2.\nAnswer: 1572*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 209, -2, 1, 0, -5 in descending order.\nAnswer: 209, 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -25. Suppose 2*x = f*x - 10. What is the second derivative of 27*w - 2*w**x + w**2 - 2*w**2 wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 17*g + 2 + 6 to w*g + a and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67697.\nAnswer: 7, 19, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 9294*h - 13388. What is the ten thousands digit of g(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-2\/21))*w)\/(w*w**(1\/23)*w))\/(w\/w**0*w)**(9\/8) assuming w is positive.\nAnswer: w**(-6547\/1932)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*s = 0, 4*q - 3*s = 0. Suppose -5*u = 18 - 3, q = -g - 4*u - 10. Differentiate f - 2 + g + 2*f - 4 wrt f.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.87 - -0.13. Let k = r - 4. What is the nearest to -1\/3 in 5, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71 or -69?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - k - 118 = k, 3*j - 5*k = -409. Which is bigger: -129 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 11:15 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*p = 2*t - 66, -2*p - 5*t + 18 = 0. Let h be (0 + 1)\/(p\/(-14)). Let o be ((-34)\/16)\/(-17) + (-21)\/40. Is o at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1472 - 0.4472. Let z = -0.073 - -0.173. What is the nearest to z in 0.3, 128, 4, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18406281 and 12.\nAnswer: -220875372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15452 is divided by 3477?\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34504 = 4*o - 21*o + 19964. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36948293 is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 242 + -179. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 353, 3, -3\/5, 11\/6?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**2 - 68*h**4 + 6 + 3*h**2 - 21*h**4 + 9*h**4 wrt h?\nAnswer: -1920*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219*z + 2691 = 8042 + 3847. Sort -1, z, -34 in descending order.\nAnswer: -1, -34, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181*(-8)\/(-22) - 70\/(-385)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 54\/(-27)*((-18)\/(-4) + -1). Let y(u) = 3 + 4*u + 10 - 3*u. What is the lowest common multiple of 4 and y(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -515947 >= -515948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -347, -2728, -9189, -21770, -42511?\nAnswer: -73452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**5 + 3542*c**4 + 1548578*c**3 - 17429742*c**2 + 15877620*c = 0?\nAnswer: -891, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1*4\/(-328)*49 and 99\/16.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20912 or 22815?\nAnswer: 20912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-15)*4)\/(2\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52106470 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*m + 6 = 7*m, 4*u - 5*m - 13 = 0. Suppose -u*f = 559 - 1477. Suppose l - 341 = f. Round l to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*u**4 - 25*u**4 + 2*u**3 - u**2 + 2*u + 2*u**2 in the form l*u**3 + w*u**4 + r + n*u**2 + a*u and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 - 1. Let z be b(2). Let g = -383 + 388. Sort z, g, -3 in ascending order.\nAnswer: -3, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269305 a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7557745 to the power of 1\/2, to the nearest integer?\nAnswer: 2749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -718 times 0.135?\nAnswer: -96.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - m - 196. Suppose -3*y + 2*y = -n + 7, -3*n + m = 4*y. Suppose -4*l = -20, -2*r + 4*r - 5*l - n = 0. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*g**2 + 14*g**2 + 32*g**2.\nAnswer: -33*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzkz. What is prob of sequence bk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven quarters of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2252*k**2 + 2252*k**2 + k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-947)\/9 - (-2)\/9. Let u = 210 + z. Suppose w - 20 = h, 4*w - w = h + 50. What is the greatest common divisor of u and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 71*g - 60. Let i be w(1). Let v = -22 + 11. Let y be (v\/(-2))\/(3\/48). What is the greatest common factor of i and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2220 + -232?\nAnswer: -3002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23\/6 - 10\/3. Find r, given that 1\/4*r + 1\/2*r**2 + 0*r**3 - 1\/4*r**5 - d*r**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100001111111110110010 (base 2) to base 14.\nAnswer: -20ddbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-8 - 1 - (-8 + 6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 3:17 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 29*c - 60. Let l be v(31). Solve -l*d - 2*r + 10 = 0, 3*d - 5 = r + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/203 - ((-1214)\/58 - (-60)\/(-6)))*-3?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -696, -0.1?\nAnswer: -696","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 696222 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 2:33 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 7*l - 1 - 3*l**2 + 7*l in the form m*l**2 + s + n*l and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*j - 14, -3*j = -j - 2*q. Suppose -j*f - 3*f + 70 = 0. Suppose 8 = -p + 2*w, 5*p + f - 4 = 4*w. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526 a factor of 336638652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 <= 257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/14520905 - -149478197474\/5096837655. Let j = 388\/13 - h. Find the common denominator of j and 19\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 584 - 414. Let l be 12\/8 + (-205)\/k. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 407507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 322 = -3*q, 3*j + 2*q = 100 + 133. Let l = 514 + -466. Let v = j - l. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5774170159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**5\/60 + d**4\/24 - d**3\/6 - 11*d**2. Let y be i(0). What is the tens digit of y + 4 - -92 - (0 - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 0, -5*b - 4*a = -a - 15. Suppose -d - 3*d + 76 = -4*q, -b*d - 4*q + 64 = 0. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 10:03 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 1:55 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*-42*(-7)\/(35\/(-2)). Let l = m + -82. Is 1*l*(-2932)\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v. Let a(w) = -2*w**2 + w. Let h be (-26)\/(-7) - 4\/(-14). Let i(f) = h*u(f) + 2*a(f). What is the second derivative of i(o) wrt o?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*j + 39 - 195, -k + 39 = -5*j. Let u be (-9)\/k*(-12)\/(-9). Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 + 16426*j**2 - 2017072*j - 2033496.\nAnswer: 2*(j - 122)*(j + 1)*(j + 8334)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1417 - 1417 - 3*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 204 + -104. Suppose 4*b - c = 70, 4*c + c + 10 = 0. Calculate the remainder when v is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/12*0\/17. Suppose u = v - 50 - 375. What are the prime factors of v?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, 4085, 1095?\nAnswer: 4085","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1380 bigger than 0.41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) 1\/6 (b) 1\/9 (c) 1 (d) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - -1 - (-32)\/(14 + -10). Let i be (2 + 0)*3\/2. Solve -i*f = n - p, 3 = -f - 2*n + 15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 - 22 = -12*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*y = -6, s - 27 = -5*y - 11. Let b(c) = 25*c - 1. Calculate the remainder when b(s) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + sqrt(1700)*-2 - sqrt(1700) - sqrt(1700)) + -5)*5 + (-1*sqrt(204)*2)\/(-2*sqrt(12)*6).\nAnswer: -899*sqrt(17)\/6 - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11111001 + -222022?\nAnswer: -12110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -32643, -65252, -97863, -130476?\n\"Answer: -w**2 - 32606*w - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 23272.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11812*l + 11814*l - 14 = 3*t, -4*t - 47 = 3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 p when four letters picked without replacement from {v: 2, f: 7, p: 9}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2188 (b) 55 (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1181347*m**3 + 1376427*m**2?\nAnswer: -7088082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 21*b**2. Let n(x) be the third derivative of -x**6\/120 + 2*x**5\/5 - 3*x**4\/4 - 19*x**3 + 7*x**2 + 19*x. Let a be n(23). What is g(a)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196 = -t - 2*j + 195, 0 = 3*t - 5*j + 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2839\/2565 + -14\/135. Let p be -3 - (-7844)\/16 - 3. Let a = p + -495. What is the common denominator of a and k?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**5\/9 - 1832*o**4\/9 - 1108*o**3\/9 + 2566*o**2\/9 + 1103*o\/9 - 734\/9 = 0. Calculate o.\nAnswer: -1, 2\/5, 1, 367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -154609*v**2 + 144482*v wrt v.\nAnswer: -309218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/40 and -17\/4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 31*t**3 - 27*t**2 + 15*t - 22. Let v be h(10). Suppose -29*p + 6*p + v = 0. List the prime factors of p.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -59*i**8\/21 + 11*i**5\/12 + i**4\/6 + 28*i**2. Find the third derivative of o(u) wrt u.\nAnswer: -56640*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 18*l**3 - 15*l**3 - 2*l**3 - 28*l**2 + 24*l + 44 + 36*l - 10*l. What is s(26)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10 - 27\/(-105))\/(67900\/71295).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 153 - 435 = -5*r, 2*r - 5*u - 249 = 0. Calculate the common denominator of (r\/6)\/(1 - -3) and -81\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + -2)*(2 - 3). Suppose 0 = 3*t + 3*v - q, -2*v - 11 - 12 = -3*t. Solve 0 = t*s - 0 - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006318569843 to six decimal places.\nAnswer: 0.006319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9382 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*o - 13*o + 888 = 67*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1094*t - 650*t + 54582 = -2037*t for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32 - -6308a1?\nAnswer: 630923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3975560782 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1392524017.21 + 5.\nAnswer: -1392524012.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-640)\/(-48))\/(-20)*(-3)\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -8. Suppose -13 = -c - 3*n, i*n - 5 = -c + 9*n. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-3 + 28)*(2\/5)\/((-32)\/600)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/(-100))\/((-1)\/(-136))*(-2)\/((-20)\/5).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.15 - -0.195. Let a = 0.04 - k. Let w = a + 0.005033. Round w to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(1 - 2 + 5)*(3*a**4 - a**4 - a**4).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - 0) + 1120\/32 + -49.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6476.081 weeks in milliseconds?\nAnswer: 3916733788800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from gzxxxzzzzzxuzzz.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 802129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6\/(-4) + 1)\/((-4)\/568).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*n + 18. Let j = n + -1. Let m be ((-1)\/2)\/((-2)\/j). Solve 6 + 4 = 2*v + m*i, -7 = -2*v + i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/63 of a week?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8307, -0.3, -5\/4 in ascending order.\nAnswer: -8307, -5\/4, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2*s + 3, 5*l + s = -3*s + 27. Sort -6, 0, l in ascending order.\nAnswer: -6, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*u**2*w - 64*h*u*w + 6*h*w + 1291*u**4*w - 179067*w - 2 wrt u.\nAnswer: 4*h*u*w - 64*h*w + 5164*u**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26906.\nAnswer: 2, 11, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 2. Let m(f) = -4*f + 1. Let c(l) = -3*m(l) + 21*v(l). Suppose -g = 5 + 4. Is 40 a factor of c(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - 6*p + 7. Let i be a(3). Which is smaller: i or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + 27. Let a = 3454 + -3497. Let g = m + a. Are -2\/101 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -237960 and 0.06.\nAnswer: -14277.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42957374*j*z**3 - 28*j*z**2 - 18*j - z**2 + 21*z + 34 wrt z.\nAnswer: -257744244*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**2 + 0 - 1 + 0 + 1.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/231*(-72)\/8)\/(16*5\/3520)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 6*k**2 - 2*k - 5. Let h be w(-5). Let c = 33 - h. Let m(z) = -z + 1. What is the lowest common multiple of m(-2) and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -5. Calculate the remainder when r is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 1:28 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(468)*-1 - (sqrt(1300) + 2)**2.\nAnswer: -1304 - 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2615 divide 673506325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 8*t**2 + 13*t - 6. Determine c(7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = 3*d - 199. Let p(b) = -b**2 - 3*b - 3. Give p(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6}. Give prob of sequence vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1534 - -1533.5. Let r = -1.7 + 6.7. Which is the second smallest value? (a) p (b) 1\/7 (c) r (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r**2 + r + 2. Let h(n) = n**3 - 37*n**2 + 71*n - 36. Let v be h(35). Let f(p) = p**2 + p. Give v*c(w) - 2*f(w).\nAnswer: 2*w**2 - 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2*i + i)*(9 - 9 - 10*i**3).\nAnswer: -20*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -8. Solve -2*k + 11 = a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -28*w**3 - 15*w**2 + 36*w + 513. List the prime factors of a(-10).\nAnswer: 11, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -3 + 1\/20*q**4 - 7\/10*q**3 - 15*q + 0*q**2. Suppose s(d) = 0. Calculate d.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149593 = 9759*p - 8639*p - 36473 for p.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**0*p*p)**(-16)\/(p**(-1))**(-14) assuming p is positive.\nAnswer: p**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.388 and 17.\nAnswer: 193.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5022483537 less than 0.32?\nAnswer: -5022483536.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 424805465 to the power of 1\/3, to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1022 and 28032.\nAnswer: 196224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*d - 1060 - 954 = 0 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1792128 is divided by 1154?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -7*b**3 - 5*b**2 - b + 2. Let x(h) = h**3 + h**2. Calculate 5*x(i) + y(i).\nAnswer: -2*i**3 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-56)*77\/(-44)*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - (12 - (55 + 25))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 36*b - 345. Suppose b*j = 50 + 10. Solve j*h = -h - 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -309036.97 to the nearest one thousand.\nAnswer: -309000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4112 (base 6) to base 14.\nAnswer: -48c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*sqrt(300) + 0)**2.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433 + 445 = 6*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 + -44. What is the remainder when 44 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - -2)\/(-4 + 2) + -1. Which is the biggest value? (a) -0.4 (b) 14\/11 (c) o (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 5, 167, 2\/3, -1\/7, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -167, -256, -347, -440?\nAnswer: -535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120 + 123. Suppose 7*n = h*u + 3*n - 1685, -10 = 5*n. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - h - 3. Let k be d(3). Suppose k*y - 4*y = 3*a - 19, a - 1 = y. Let o(f) = -f + 12. Calculate o(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*l - 5, 5*y - l - 8 = -4. Let c(q) = 2*q. Let d(h) = h. Let m(v) = y*c(v) - d(v). Determine m(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*z = 9 + 4, -5*o - 35 = 5*z. Which is the second smallest value? (a) -1\/4 (b) -1\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**2 - 766146*f - 48914974443 = 0.\nAnswer: -127691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 30?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103 - 53*u + 103)*(14 + 10 - 8).\nAnswer: -848*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*o**2 - 59*o**2 - 83*o**2 - 13*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 47*w**3 - 14*w + 17. Let u = 2546 + -2557. Let d(p) = -16*p**3 + 5*p - 6. Determine u*d(h) - 4*x(h).\nAnswer: -12*h**3 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58.1 + -57.7. What is the second biggest value in 0.3, a, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -21*i**2 + 7*i. Let m(r) = 11*r**2 - 3*r. Suppose p = -2*k - 3, -5 = 2*p + 5*k + 4. Give p*o(y) + 7*m(y).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190702*b - 95744*b - 94989*b.\nAnswer: -31*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*(sqrt(40)\/sqrt(4))\/sqrt(2) - ((sqrt(125) + (sqrt(125) - (-2 + sqrt(125)*1)) - sqrt(125))**2 + sqrt(125))).\nAnswer: -48*sqrt(5) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 + 247\/3. Let w = -5.7 + 6. Sort w, 1, o in increasing order.\nAnswer: o, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**9\/56 - 7*d**5\/60 - 13*d**2. What is the third derivative of a(q) wrt q?\nAnswer: -1080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 10*h - h - 19 to u + g*h and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6102 and 216?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 769 + -55. Let z = -401 + p. List the prime factors of z.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 111?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440 = 6*u + 3*u - 5*u - 136*m, -5*u + u - m - 29 = 0 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -10*l + 197. What is m(27)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2071.226 + 2063. Let w = p + 0.226. What is the nearest to 2 in w, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 195 + 131. List the prime factors of m.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 8*o + 3. Let w be b(7). Let s(p) = -p**2 - 8*p - 7. Let l be s(-6). Sort l, w, -1.\nAnswer: w, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27401709?\nAnswer: 3, 113, 80831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -263953*g + 3*g**5 + 263952*g - 32*g**3 - 39*g**3 + (-3*g**2 + g**2 + 0*g**2)*(-3*g**2 + 3*g**2 - 2*g**3) - 8*g**5 - 14*g**5 + 21*g**5.\nAnswer: 6*g**5 - 71*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*t - 20. Let p(s) = 20*s + 9. Let l(y) = -21*y - 8. Let a(b) = -5*l(b) - 6*p(b). What are the prime factors of a(t)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*b + 381, 3*b - 675 = -g - 4*g. Calculate the common denominator of (-226)\/g + 1 + (-14)\/42 and -101\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85745 by -5.\nAnswer: -17149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*k + 5*l = -29, -l + 55 = 3*k. Suppose 0 = 9*n - 7 + 25. Let c = k + n. What are the prime factors of c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103, -0.4, -11 in ascending order.\nAnswer: -11, -0.4, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 25 = 4*t, 2*j - 5*t - 23 - 3 = 0. Let g = 102 + -104. Sort j, g, 2 in increasing order.\nAnswer: g, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7887 is divided by 1572?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (15 + -10 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 43*q**2 + 6*q + 30*q**2 + 22*q**2 - 5*q + 30.\nAnswer: 9*q**2 + q + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1954992 is divided by 50.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -36\/7 (c) -1 (d) 1 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*0.22\nAnswer: -0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 14*c**3\/3 - c**2 + 2*c + 321. Let h(a) = -9*a**2 + a - 1. Determine 8*h(j) + 5*u(j).\nAnswer: -2*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 623611973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 50, -4, 1\/2?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/2*686\/49392.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -4*i + 2*s + 194, 4*i - 5*s = 185. Let b = i + -14. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + l + 1. Let u be q(2). Suppose 8*f - 5 = u. Factor -13*y**f - 4*y**2 + 282*y**3 - 35*y**4 - 10*y + 2*y**2 - 222*y**3.\nAnswer: -5*y*(y - 1)**2*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from baba. What is prob of sequence ba?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -12*r - 12. Let x(l) = -5*l - 6. Let m(i) = -o(i) + 2*x(i). Let a(c) be the second derivative of -c**3\/3 - 3*c. What is m(a(w))?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-43 - -7)\/6 - (10 - 15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -4, 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 7. Let y(q) = -q**2 - 13*q - 14. Let t be y(-13). Let j = t + 48. Calculate the remainder when j is divided by m(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.183292 to 3 dps.\nAnswer: -3.183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 624*c - 4 - 761*c to the form d*c + z and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -21501*j**3 - 13*j**2 + 39*j - 39. Let c(o) = -8600*o**3 - 5*o**2 + 15*o - 15. What is -13*c(i) + 5*p(i)?\nAnswer: 4295*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z = 39 + 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-30)*6)\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(8\/7)*k**(-8) assuming k is positive.\nAnswer: k**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4233*r - 1857*r - 702*r - 160800 = -360*r for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 6, -5*p + 26 = -3*z + 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71944 divided by 23.\nAnswer: -3128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6 = -3*k - 15, 4 = k + 3*x. Suppose -3*h - 12 - 53 = -4*d - 6, -d + 14 = 0. Which is the nearest to h? (a) 19\/7 (b) k (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s = 0. Solve o - t - 6 = 0, s = 2*o + o - t - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = i + 22*n - 25*n, 4*i + 5*n - 7 = 0. Solve -5*q = u - 10, -i*q = 4*u - 5*q + 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4485414658 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -287*a**2 + 47073*a + 149. Give f(164).\nAnswer: 969","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c - c. Let l(x) = c*x + x + 9 + 3*x + 3*x. Let t(u) = -4*u - 5. What is 3*l(a) + 5*t(a)?\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - v = 2056, 5*m - 10*v + 11*v - 3416 = 0. Calculate the least common multiple of m and 1482.\nAnswer: 8892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-36)\/(-27))\/((-2)\/3). Let x(h) = 2*h + 2. Let p be x(3). Let k be (-6)\/(-1)*(-4)\/p. Sort k, -5, i in ascending order.\nAnswer: -5, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1698 - 1946 + 35125*b**2 - 18077*b**2 - 18451*b**2 with respect to b.\nAnswer: -2806*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-10) + 83\/5. Suppose -4*s = -t - 7. What is s rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101024 or -101022?\nAnswer: -101024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 + 3*w - 3. Let q(o) = 4*o**2 + 6*o - 6. Let u(h) = -6*q(h) + 13*r(h). Let j = -35 - -39. List the prime factors of u(j).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 4*o + 19. Let l = o - 13. Suppose -2*f - 5*z = -9, 4*f + 2*z - 4 = l*z. Sort 5, -4, f in decreasing order.\nAnswer: 5, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 1\/5677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2 = u, u - 7 = y - 6. Solve u = -3*j + j - 2*q, -4*j - 18 = -2*q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44.98 + -45. Let g = -4.98 + y. Put 0, g, -1, -0.5 in increasing order.\nAnswer: g, -1, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 - -2670585?\nAnswer: 26705a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bry when three letters picked without replacement from ybprrb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, t: 2}. Give prob of picking 4 c.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 283 + -282.705. Let p = 0.2934 - r. Round p to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 5:16 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/7)*n\/n**(-1\/7))\/(((n\/n**(1\/2))\/n)\/n)**20)**9 assuming n is positive.\nAnswer: n**(2043\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 17*l**2 + 48*l + 55. Let r be v(13). Solve r*p = 0, 3*p - 5*p = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6178662.\nAnswer: 2, 3, 7, 49037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/88*(30\/765 + 2240\/3570)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q = 5*s - 15, -s - 4*q = q - 32 + 20 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2797, -184, -5157, -12128, -21103, -32088, -45089, -60112?\n\"Answer: -z**3 - 990*z**2 - 4*z + 3792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/23)\/m*((m**(-32\/3)\/m)\/m)\/m*m)**(-19))**9 assuming m is positive.\nAnswer: m**(53409\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 192*w + 2118. Calculate the remainder when f(14) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**2\/8 + 96323*y\/2 - 38529\/2 = 0 for y.\nAnswer: 2\/5, 77058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 7*c**2 - 6*c + 42. Let s be u(7). Let n(k) be the second derivative of s + 1\/3*k**3 + 0*k**2 + 6*k. Let l(d) = -d. Calculate l(n(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 30 + 5. Let f be 1 + 1 + g\/(-5). What is the derivative of f - 4*w**4 + 4 - 4 + w**4 wrt w?\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 15. Let a be o(11). Suppose -a*m - 90 = m. Let q = 18 + m. Solve -3*l - 1 - 2 = q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6*j - 4. Let b(d) = -2*d + 1. Let a(q) = -12*b(q) - 3*t(q). Let m(s) be the third derivative of -7*s**5\/20 + 542*s**2 + s. Give a(m(r)).\nAnswer: -126*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*j + 656 = -30*j + 72*j for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/10 + ((-956)\/(-210) - 4) and 43\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 5, -4*o = 3*l - 3*o - 7. Let a = -2 + l. Calculate the remainder when (a + 6\/(-4))*134 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100 + 71*x + 131*x + 33*x + 45*x**2 + 205*x.\nAnswer: 5*(x + 10)*(9*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 72*i**2 + 2*i - 2. Let d be s(4). Suppose 0 = -2*g + 4758 - d. What is g rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86 + -3355\/39. Is f <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*s**6 + 7*s**4 + 2*s**2 + 5*s.\nAnswer: -480*s**3 + 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**2*w**5 + 2*i**2*w + 46*i*w**2 - 7*i*w wrt w?\nAnswer: 40*i**2*w**3 + 92*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -18*v - 3*v + 10*v. Let s(q) = 3*q**2. Determine s(n(i)).\nAnswer: 363*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 0. Let y(n) = 59*n**2 + 1. Is y(i) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 3 - 5*d**3 + 4*d**2 - 5*d**3 + 9*d**3 - d**2. Calculate p(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 0, -54.\nAnswer: -54, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + i + 39 = -i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o**3 + 9*o**3 + 5*o**3)*(2*o - 2 + 2)*(o - 4*o + 2*o).\nAnswer: -16*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 247, 236, 231, 238, 263, 312?\n\"Answer: c**3 - 3*c**2 - 9*c + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**2 + 5*w - 12. Let z = 213 + -216. Let a(s) = -32 + 18 + 5 + s + 3 + 2*s**2 + s. Determine z*m(p) + 7*a(p).\nAnswer: -p**2 - p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2713219 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q**(-2\/11)\/q)\/q*q)\/q*q\/q**4)**(-36) assuming q is positive.\nAnswer: q**(1656\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2120, 5418, 8718, 12020, 15324, 18630?\n\"Answer: g**2 + 3295*g - 1176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-10.5141.\nAnswer: 5.25705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 12 = -973*f + 974*f, -5*c + 15 = -f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 2*z + 2. Let n be v(-2). Let u be ((-32183)\/n)\/(1\/(-18)). Let a = -89647 + u. Round a to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 56 (b) -4\/5 (c) -3 (d) 2 (e) -2\/7 (f) 3.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 2*j + 85. Let t(g) = -g**3 - g**2 - g - 1. Let z be t(-1). Calculate the remainder when x(z) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 8. Let a be v(-7). Let g(r) = 11*r**3 - 2*r**2 + 1. What is the smallest common multiple of g(a) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2098 - 4*n**2 - 2098. Let s(b) = b - b + b**2. Give s(a(m)).\nAnswer: 16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 0, 2*i + 4*j = -35020 + 126998. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 12 - (1 + (2 - 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1131*y + 2661 = 1491 - 2223 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237 + 390 - 153 + 112*t.\nAnswer: 112*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggzzxzxg. Give prob of picking 1 z and 2 g.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5042, 5030, 5018, 5006, 4994, 4982?\nAnswer: 4970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 311121 (base 5) to base 7\nAnswer: 41424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 4*n + 10, -3*u + 7*u - n = 12. Suppose -5 = -4*p + 3*a, 0*p - u*a + 12 = 5*p. Is 2 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486803 is divided by 4869?\nAnswer: 4772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1040046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*v**4 - 14*v + 14*v - v**4 + v**4 + 2*v**4 + (6*v - v + 4*v)*(-v**3 - 2*v**3 + 2*v**3) - v**4 + v**4 - 7*v**4 - v**4 + 3*v**4 + 0*v**4.\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 2, 0.3, -4, 6, 390.\nAnswer: -4, -2\/15, 0.3, 2, 6, 390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22268 is divided by 2226.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35346528 by 14.\nAnswer: -2524752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -555 - -553. Let n = f - -10. Is 10 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -6.60961.\nAnswer: -9.60961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -565 in 5, 2, 1, -2, -8930, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2116296 divided by -6552\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*k + 13 = s, 0 = 4*s + 2*k - 34. Solve -n = -4*n - s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -19*b**2 - 423*b + 268. Calculate d(-23).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 306 and 3021886?\nAnswer: 27196974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 202625\/9 - 22538. Let v = h - -1199\/18. Let w = -559\/77 - -87\/14. What is the common denominator of v and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 = -6*q. Let j(r) = 3*r**2 - 15*r - 15. Let k(l) = -2*l + 3*l - 1 - 2*l + 0. Suppose 65*x + 45 = 68*x. Give q*j(y) + x*k(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 10150*n**2 - 44*n - 16. Let j be (-1 - -3) + (23 - 39). Let p be t(j). What is p rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2125 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*g**2*j**3*q + 14*g**2*j**2*q - 3*g**2*q - g*j**4 + 125*j**3*q + 4*q wrt j?\nAnswer: -60*g**2*q - 24*g*j + 750*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - 3. Let f(w) be the second derivative of -359*w**5\/5 - w**4\/3 + 5*w**3\/6 - w**2 - 2*w. Let a be f(x). What is a rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -42877, -85748, -128619, -171484, -214337, -257172, -299983?\n\"Answer: o**3 - 6*o**2 - 42860*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**3\/6 + 4*g**2 - 117*g + 20. Let o(d) be the first derivative of n(d). Give o(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d. Let p = -2 + 4. Let c be 5\/(-30) + 1015\/42. Let u(t) = -c*t - 2 + 8*t + p. Calculate u(o(n)).\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -365 + 92 + 192 + 4*d**2 + 83.\nAnswer: 4*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 2*x**2 + 4*x + 9. Let r be o(0). Suppose 8*y - 31 = r. Let z(c) = -c - 12. Let t be z(-17). Solve -t*j = b + 14 - 1, 4*b + y*j = -7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Suppose -5*y + 2*y - 27 = -5*m, d = 3*m + y - 19. Calculate the highest common divisor of 30 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6545 (base 15) in base 4?\nAnswer: -11033000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 126809741 to the power of 1\/3, to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 539 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -6. What is the third smallest value in 2\/19, r, -2\/5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, y: 1, d: 1, g: 1, m: 4}. Give prob of picking 4 m.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cuvvcdbu. Give prob of sequence vu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 41*c**2 + 171*c + 171. Let f be q(39). What is the highest common factor of f and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 9*u**4 + 70554*u**3 + 137897281*u**2 - 1476930400*u + 3943840000 = 0?\nAnswer: -3925, 16\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00911 rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 260*b**2 + 1291*b + 1543. Determine l(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -225 + -22?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.118 and -3?\nAnswer: -12.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -13, 4, 0.12, -91?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 3*l**2 + 8*l - 7. Let p be x(-7). Let w = 260 - p. Let n = -94 - w. Is 28 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 267 + -2\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 52\/16 + (-3)\/12. Suppose -2*f = -5*w - l, 5*f - 23 = -0*f - 3*w. Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9039996 divided by 9?\nAnswer: 1004444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -156 + 113. Let u = o - -44. What is the third smallest value in u, 0.1, -1\/37?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 3*n**2 - n + 5. Let u(a) = 4*a**3 - 8*a**2 - 2*a + 16. Let m(t) = -2*u(t) + 7*w(t). Let q(l) = -l. Let j be q(3). Calculate m(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (2 - 5 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5785 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 7:10 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2565 is divided by 63.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - 35. Suppose -1512 = -10*z + l*z. Calculate the greatest common factor of 28 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/67)\/(a**12*a)*a**(3\/7)*a\/a**13)**(-1\/6) assuming a is positive.\nAnswer: a**(5755\/1407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, i: 4, b: 2, l: 9}. Give prob of picking 1 b and 1 l.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*g + 13. Let j(y) = -35*y + 17. Let b(i) = -33*i + 15. Let a(p) = -3*b(p) + 2*j(p). List the prime factors of a(g).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 2*g**2 - 2*g + 1. Let s be l(-2). Let o be ((-7)\/16)\/((-12)\/48). Let m = o + -5\/4. Put s, 3, m in ascending order.\nAnswer: m, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k + k**2 - 2*k. Suppose 5*d - 24 = -j, 5 + 3 = -2*j + 4*d. Let y(v) = -v**2 + j*v**2 - 2*v**2. What is m(y(t))?\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.6, 0, -3, -1, 5, -46, 0.135?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17\/35 - 2\/7. Let u = -371 - -41. Let y = -2966\/9 - u. What is the second smallest value in 3, x, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28900*i**3 + 29240*i**2 + 341*i + 1.\nAnswer: (i + 1)*(170*i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) -2 (c) -58 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -3*f + 188. Suppose -5*c + 2*l = f, -2*l + 122 - 44 = -4*c. Let w = c - -25. What is the third biggest value in 4, w, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*i. Which is bigger: i or -4\/15?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 16*y**3\/3 - 34*y + 63. Let a(z) = -125*z. What is a(c(l))?\nAnswer: -4000*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-422)\/633)\/(14\/(-6)). Suppose -2\/7 - m*j**2 + 5\/7*j = 0. What is j?\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-4\/19)*r)\/r)\/(r**(-8\/5)\/r))\/(r\/((r*r**(-1\/57)*r)\/r))**(-16) assuming r is positive.\nAnswer: r**(761\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j. Let t(r) = 22189117*r. Determine t(s(v)).\nAnswer: 22189117*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4745 is divided by 95.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.7959903g?\nAnswer: 795.9903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - j - 12 = 0, -5*n - 4*j + 294 - 279 = 0. Solve 3*a - 9 = 0, a - 188 = -n*l - 194 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**0\/z)**(-15\/11)\/(z**(-36)*z)**(-6\/23) assuming z is positive.\nAnswer: z**(-210\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56 - 0.0493.\nAnswer: -56.0493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s**(1\/5)*s)*s))\/(s\/(s**(7\/5)*s))*(s*s**(1\/5))\/(s\/(s*s**(-7))))**(4\/35) assuming s is positive.\nAnswer: s**(-12\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 497.4229l to millilitres.\nAnswer: 497422.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 0)\/(9\/36). Solve -4*h = 5*k + 1, -7*h - 16 = -6*h - u*k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h + 9 - 9)*(-1177 - 219*h + 1177) in the form y + a*h + s*h**2 and give s.\nAnswer: -657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 4*i**2 - 2*i - 2. Suppose a - 1 = 1. Let g be h(a). Suppose -g*b = -2*c + 84, c - 52 = 3*b - 0*b. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/(-18) + 0 + (0 + 9)\/81.\nAnswer: -32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4674 and 984.\nAnswer: 18696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 - -401?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4262189291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r + 9. Let g(d) = 5*d - 314. What is 2*g(y) + 4*p(y)?\nAnswer: 2*y - 592","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 3*p - 2*p)*(8*p - 3*p - 2*p + (2 - 1 + 1)*(2*p - 4*p + 3*p) + 3*p + 5*p - 7*p)*(43 - 43 + 36*p).\nAnswer: -216*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from {g: 12, j: 6}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0506 + -796296281009.\nAnswer: -796296281008.9494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 is divided by 3\/(-4 - -1 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3251439133457 plus -12?\nAnswer: -3251439133469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 594264 and 4488?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 39\/6 + (-3)\/2. Find x such that x**4 + 12*x + z*x**4 - 5 + 1 - x**5 + 2*x**2 - 4 - 11*x**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g + 12. Give h(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}